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<div> <div id="article-table-of-contents" data-ismobile="false"> <div class="TableOfContents_tableOfContents__tmWzJ"> <div class="TableOfContents_tableOfContents__title__sU5vH"> 在这一页上</d我v> <a class="TableOfContents_tableOfContents__item__zC0yd" href="#abstract">文摘</一个><一个cl一个年代年代="TableOfContents_tableOfContents__item__zC0yd" href="#introduction">介绍</一个><一个cl一个年代年代="TableOfContents_tableOfContents__item__zC0yd" href="#acknowledgments">确认</一个><一个cl一个年代年代="TableOfContents_tableOfContents__item__zC0yd" href="#references">引用</一个><一个cl一个年代年代="TableOfContents_tableOfContents__item__zC0yd" href="#copyright">版权</一个><一个cl一个年代年代="TableOfContents_tableOfContents__item__zC0yd" href="#related-articles">相关文章</一个></d我v> </div> </div> </div> </div> <div class="ant-col ThreeColumnLayout_middleColumn__Pn_ys"> <div class="ArticleMiddleSection_articleMiddleSection__DtVY3"> <div class="articleHeader"> <strong>研究文章|<!gydF4y2Ba-- -->开放获取</年代trong><d我v class="articleHeader__meta"> <span>体积<!gydF4y2Ba-- -->2011年<!gydF4y2Ba-- -->|</年代pan> <span>文章的ID<!gydF4y2Ba-- -->207930年<!gydF4y2Ba-- -->|</年代pan> <span class="articleHeader__meta_doiLink"><a href="https://doi.org/10.1155/2011/207930" aria-label="Doi-link" target="_blank" rel="noreferrer">https://doi.org/10.1155/2011/207930</一个></年代pan> </div> <div class="simpleShowMore"> <button class="simpleShowMore__button">显示引用</gydF4y2Babutton> </div> <h1 class="articleHeader__title">在积分变换和矩阵函数</h1><d我v class="articleHeader__authors"> <span class="articleHeader__authors_author">哈桑Eltayeb<!gydF4y2Ba-- -->,<年代up>1</年代up></span> <span class="articleHeader__authors_author"><strong>亚当Kılıcman</年代trong><一个href="//www.newsama.com/cdn-cgi/l/email-protection" aria-label="Mail Option"><span role="img" class="anticon"> <svg version="1.0" xmlns="http://www.w3.org/2000/svg" width="1em" height="1em" viewbox="0 0 1401 1101"> <path fill="#6ba439" d="M132.5 2.1C101.4 6 71.1 20.5 48.3 42.4c-22.7 21.7-37.5 48.3-44.6 80l-2.2 10.1v837l2.2 10.1c6.7 30 19.3 53.9 39.8 75.3 23.3 24.3 56.4 40.9 90 45 12.8 1.6 1122.2 1.6 1135 0 38.9-4.8 75.9-25.6 100-56.4 15-19.3 24.2-39 29.8-63.9l2.2-10.1v-837l-2.2-10.1c-7.1-31.8-21.9-58.3-44.6-80.1-20.2-19.2-43.9-31.7-73.6-38.5l-9.6-2.3L705 1.4c-321.9-.1-568.5.2-572.5.7zm1123.4 99.5c1.7.4 3.1 1 3.1 1.4 0 .5-125.6 87.7-279 194L700.9 490.2 422 297C268.5 190.7 143 103.4 143 103c0-.5 1-1.1 2.3-1.3 3.5-.7 1107.1-.8 1110.6-.1zM401 404c164.4 113.8 299.4 207 300 207 .6 0 135.6-93.2 300.1-207 164.5-113.9 299.3-207 299.5-207 .2 0 .4 170.9.4 379.7 0 417.9.5 386-6.1 398.3-6.2 11.6-19 21.4-31.9 24.4-5.8 1.4-67.4 1.6-562 1.6s-556.2-.2-562-1.6c-12.9-3-25.7-12.8-31.9-24.4-6.6-12.3-6.1 19.6-6.1-398.3 0-208.8.2-379.7.5-379.7S236.6 290.1 401 404z"></path> </svg></span></a>,<年代up>2</年代up></span> <span class="articleHeader__authors_author">和<!gydF4y2Ba-- -->拉维·p·阿加瓦尔<年代up>3</年代up></span> </div> <div class="simpleShowMore"> <button class="simpleShowMore__button">显示更多</gydF4y2Babutton> </div> <div class="articleHeader__academicEditor"> <strong>学术编辑器:</年代trong><年代pan>易卜拉欣Sadek</年代pan> </div> <div class="articleHeader__timeline"> <div class="articleHeader__timeline_item "> <strong>收到了</年代trong><年代pan>2011年8月10</年代pan> </div> <div class="articleHeader__timeline_item "> <strong>接受</年代trong><年代pan>2011年10月04</年代pan> </div> <div class="articleHeader__timeline_item articleHeader__timeline_item_sticky"> <strong>发表</年代trong><年代pan>2011年12月22日</年代pan> </div> </div> </div> <div class="articleBody"> <div class="xml-content"> <h4 class="header" id="abstract">文摘</h4><gydF4y2Bap>某些基本的Sumudu变换矩阵函数。然后使用这些转换解决微分方程的一般线性保守的振动系统,与一种特殊的粘性阻尼振动系统。</gydF4y2Bap> <span class="end-abs"></span> <h4 id="introduction">1。介绍</h4><gydF4y2Bap>矩阵和矩阵问题的重要性,清楚地证实了工程在过去年<一个href="#B2">1</一个>,<gydF4y2Ba一个href="#B4">2</一个>]。它已经表明,普通和偏微分方程的解决方案的系统,出现在物理和工程可以最有效地制定矩阵的语言。边值问题成为矩阵问题首先经过重构后的积分方程。最常见的一种数学技术遇到的问题的解决方案是集普通与常系数线性微分方程。它被发现在<一个href="#B3">3</一个>)线性动力系统的响应可能有效地由制定其响应矩阵指数函数。</gydF4y2Bap> <p>在文献中,有几个积分变换和广泛应用于物理学、天文学以及在工程。在[<一个href="#B17">4</一个>],Watugala引入了一个新的变换和命名为Sumudu变换定义的设置功能<年代pan class="equation" id="EEq1.1"> <svg height="19.475" id="M1" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.475" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.475)"> <g transform="translate(72,-56.42)"> <text transform="matrix(1,0,0,-1,38.2,61.03)"> <tspan style="font-size: 12.50px; " x="24.469999" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.427982" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="31.66" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="42.175022" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="46.338524" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.251961" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="57.891293" y="0"> ∶</t年代pan> <tspan style="font-size: 12.50px; " x="67.756165" y="0"> ∃</t年代pan> <tspan style="font-size: 12.50px; " x="74.757843" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="87.323357" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="92.524605" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,137.14,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,142.01,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,153.62,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,161.97,61.03)"> <tspan style="font-size: 12.50px; " x="25.58" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="25.58" y="1.5700001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="50.849998" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="50.849998" y="1.5700001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> ></t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="28.08" y="-7.1054274e-015"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.607525" y="-7.1054274e-015"> (</t年代pan> <tspan style="font-size: 12.50px; " x="42.771027" y="-7.1054274e-015"> </t年代pan> <tspan style="font-size: 12.50px; " x="46.684464" y="-7.1054274e-015"> )</t年代pan> <tspan style="font-size: 12.50px; " x="56.82" y="-7.1054274e-015"> <</t年代pan> <tspan style="font-size: 12.50px; " x="68.847885" y="-7.1054274e-015"> </t年代pan> <tspan style="font-size: 12.50px; " x="81.413399" y="-7.1054274e-015"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,248.96,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="5.1724319" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,258.61,63.85)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,261.55,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="7.2892489" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="10.765083" y="0"> f</t年代pan> <tspan style="font-size: 12.50px; " x="19.092081" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.481354" y="0"> ∈</t年代pan> <tspan style="font-size: 12.50px; " x="38.521744" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="42.685242" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="51.249798" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="57.501297" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,323.22,66.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,329.22,61.03)"> <tspan style="font-size: 12.50px; " x="42.150002" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="10.777586" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.941085" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="21.192585" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="26.393833" y="0"> ∞</t年代pan> <tspan style="font-size: 12.50px; " x="37.971611" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="135.53" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="139.6935" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="145.94499" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="149.07076" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="155.32225" y="0"> )</t年代pan> </text> </g> </g> </svg></span>由以下公式:<年代pan class="equation" id="EEq1.2"> <svg height="36.887501" id="M2" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 36.887501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,36.8875)"> <g transform="translate(72,-42.49)"> <text transform="matrix(1,0,0,-1,68.64,54.16)"> <tspan style="font-size: 12.50px; " x="52.360001" y="0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="92.860001" y="0.039999999"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="118.92" y="7.6999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.50276" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.666259" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.592682" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.232014" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="41.272404" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="56.529999" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="67.045021" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="71.208519" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="75.121964" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="81.373459" y="0"> ;</t年代pan> <tspan style="font-size: 12.50px; " x="86.924789" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="100.5" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="109.06455" y="0"> ∶</t年代pan> </text> <text transform="matrix(1,0,0,-1,194.57,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,205.25,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.678522" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.604944" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.518383" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="30.769882" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,241.59,59.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,250.82,54.16)"> <tspan style="font-size: 12.50px; " x="49.259998" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.565035" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="25.731174" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="35.13343" y="0"> ∈</t年代pan> <tspan style="font-size: 12.50px; " x="55.110001" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="63.674557" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,320.9,51.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,325.77,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,337.38,51.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,342.26,51.65)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="122.49" y="-2.51"> (</t年代pan> <tspan style="font-size: 12.50px; " x="126.6535" y="-2.51"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="132.905" y="-2.51"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="136.03075" y="-2.51"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="142.28224" y="-2.51"> )</t年代pan> </text> </g> </g> </svg></span>的解决方案和应用这个新的变换常微分方程和控制工程问题,看到<一个href="#B17">4</一个>- - - - - -<一个href="#B14">6</一个>]。在[<一个href="#B5">7</一个>),建立了Sumudu变换的一些基本性质。</gydF4y2Bap> <p>在[<一个href="#B8">8</一个>),延伸至Sumudu变换分布(广义函数)和他们的一些性质也研究[<一个href="#B10">9</一个>,<gydF4y2Ba一个href="#B11">10</一个>]。最近,Kılıcman等人应用这个变换求解微分方程组,看到<一个href="#B12">11</一个>]。转换系数的反演是通过使用获得的<我>Trzaska的</我>方法(<一个href="#B16">12</一个>)和亥维赛扩张技术。</gydF4y2Bap> <p>在摘要中,亲密关系Sumudu变换理论和某些矩阵函数出现在常微分方程组的解。开发的技术,并应用于动力学和电输电线路的问题。</gydF4y2Bap> <p>注意,Sumudu和拉普拉斯变换有以下关系,交换的形象<年代vg height="13.5625" id="M3" style="vertical-align:-2.21957pt;width:65.125px;" version="1.1" viewbox="0 0 65.125 13.5625" width="65.125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.5625)"> <g transform="translate(72,-61.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="18.754499" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="22.917999" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.570316" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="43.910538" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="47.823975" y="0"> )</t年代pan> </text> </g> </g> </svg>和<年代vg height="13.45" id="M4" style="vertical-align:-2.21957pt;width:67.712502px;" version="1.1" viewbox="0 0 67.712502 13.45" width="67.712502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> c</t年代pan> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.645813" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="45.986034" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="49.899471" y="0"> )</t年代pan> </text> </g> </g> </svg>。事实证明,<年代pan class="equation" id="eq1"> <svg height="87.75" id="M5" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 87.75" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,87.75)"> <g transform="translate(72,-1.8)"> <text transform="matrix(1,0,0,-1,73.15,54.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,81.28,51.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,88.23,54.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="56.169998" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="4.1700001" y="-0.039999999"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="9.0336666" y="-0.039999999"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="12.509501" y="-0.039999999"> n</t年代pan> <tspan style="font-size: 12.50px; " x="22.9245" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="27.087999" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.740314" y="-0.039999999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="48.080536" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.993977" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="63.799999" y="-0.039999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="75.827888" y="-0.039999999"> ℒ</t年代pan> </text> <text transform="matrix(1,0,0,-1,175.9,51.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,182.86,54.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="58.23" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="65.870003" y="-0.039999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="4.1599998" y="-0.039999999"> c</t年代pan> <tspan style="font-size: 12.50px; " x="9.7113323" y="-0.039999999"> o</t年代pan> <tspan style="font-size: 12.50px; " x="15.962832" y="-0.039999999"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="24.989998" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="29.153498" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.805813" y="-0.039999999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="50.146034" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.059471" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="105.62" y="-7.29"> </t年代pan> <tspan style="font-size: 12.50px; " x="114.30959" y="-7.29"> +</t年代pan> <tspan style="font-size: 12.50px; " x="125.66231" y="-7.29"> </t年代pan> </text> <g> <path d="m 261.96,57.57 79.4,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,261.96,43.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="13.190665" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="24.530886" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.457308" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,296.59,48.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,301.46,43.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="13.190665" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="24.530886" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.857405" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,336.49,48.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,342.56,54.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-269.41" y="39.540001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,81.28,11.79)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,88.23,14.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="58.240002" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="4.1700001" y="-0.029999999"> c</t年代pan> <tspan style="font-size: 12.50px; " x="9.7213316" y="-0.029999999"> o</t年代pan> <tspan style="font-size: 12.50px; " x="15.972832" y="-0.029999999"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="24.999998" y="-0.029999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="29.163498" y="-0.029999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.815811" y="-0.029999999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="50.156033" y="-0.029999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.069473" y="-0.029999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="65.879997" y="-0.029999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="77.907883" y="-0.029999999"> ℒ</t年代pan> </text> <text transform="matrix(1,0,0,-1,177.97,11.79)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,184.93,14.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="56.16" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="63.799999" y="-0.029999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="113.61" y="-7.29"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="4.1700001" y="-0.029999999"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="9.0336666" y="-0.029999999"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="12.509501" y="-0.029999999"> n</t年代pan> <tspan style="font-size: 12.50px; " x="22.911997" y="-0.029999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="27.075497" y="-0.029999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.740314" y="-0.029999999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="48.080536" y="-0.029999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.993977" y="-0.029999999"> )</t年代pan> </text> <g> <path d="m 261.96,18.04 79.4,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,261.96,4.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="13.190665" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="24.530886" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.457308" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,296.59,9.23)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,301.46,4.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="13.190665" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="24.530886" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.857405" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,336.49,9.23)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,342.56,14.91)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="122.19" y="-18.870001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="126.3535" y="-18.870001"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="132.605" y="-18.870001"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="135.73074" y="-18.870001"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="141.98225" y="-18.870001"> )</t年代pan> </text> </g> </g> </svg></span></p> <p>此外,关于Sumudu变换一个有趣的事实是,原始的功能及其Sumudu变换泰勒系数除了相同的因素<年代vg height="10.825" id="M6" style="vertical-align:-0.11285pt;width:13.1px;" version="1.1" viewbox="0 0 13.1 10.825" width="13.1" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.825)"> <g transform="translate(72,-63.34)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.2139912" y="0"> !</t年代pan> </text> </g> </g> </svg>。因此,如果大小<年代vg height="17.4" id="M7" style="vertical-align:-3.8347pt;width:104.2625px;" version="1.1" viewbox="0 0 104.2625 17.4" width="104.2625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.4)"> <g transform="translate(72,-58.08)"> <text transform="matrix(1,0,0,-1,-71.95,61.95)"> <tspan style="font-size: 12.50px; " x="34.689999" y="0.02"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="22.642933" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,-25.83,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.9399996"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.3497438" y="9.9399996"> =</t年代pan> <tspan style="font-size: 8.75px; " x="10.344864" y="9.9399996"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,-8.53,61.95)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-2.25,58.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,2.6,61.95)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,6.51,66.96)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,然后<年代vg height="17.4" id="M8" style="vertical-align:-3.8347pt;width:123.3375px;" version="1.1" viewbox="0 0 123.3375 17.4" width="123.3375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.4)"> <g transform="translate(72,-58.08)"> <text transform="matrix(1,0,0,-1,-71.95,61.95)"> <tspan style="font-size: 12.50px; " x="37.490002" y="0.02"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.7268538" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.890353" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.816774" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="25.443605" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,-23.03,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.9399996"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.3497438" y="9.9399996"> =</t年代pan> <tspan style="font-size: 8.75px; " x="10.344864" y="9.9399996"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,-5.73,61.95)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.2139912" y="0"> !</t年代pan> <tspan style="font-size: 12.50px; " x="12.452988" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,13.01,58.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,17.86,61.95)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,21.77,66.96)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>;参见[<一个href="#B18">13</一个>]。此外,狄拉克δ函数的拉普拉斯和Sumudu变换和亥维赛函数满足<年代pan class="equation" id="eq2"> <svg height="75.550003" id="M9" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 75.550003" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,75.55)"> <g transform="translate(72,-11.56)"> <text transform="matrix(1,0,0,-1,128.38,54.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,136.51,51.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,143.47,54.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="42.610001" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="4.1599998" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.275887" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="22.439386" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.316036" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="34.529785" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.443226" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="50.25" y="-0.039999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="62.277885" y="-0.039999999"> ℒ</t年代pan> </text> <text transform="matrix(1,0,0,-1,217.58,51.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,224.54,54.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="36.860001" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="-100.36" y="33.939999"> </t年代pan> <tspan style="font-size: 12.50px; " x="4.1599998" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.524507" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="16.688005" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.564655" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="28.778406" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.691845" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="44.5" y="-0.039999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="56.527885" y="-0.039999999"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="62.779385" y="-0.039999999"> ,</t年代pan> </text> <text transform="matrix(1,0,0,-1,132.31,17.35)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,139.27,20.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="36.860001" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="4.1599998" y="-0.029999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.524507" y="-0.029999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="16.688005" y="-0.029999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.564655" y="-0.029999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="28.778406" y="-0.029999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.691845" y="-0.029999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="44.5" y="-0.029999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="56.527885" y="-0.029999999"> ℒ</t年代pan> </text> <text transform="matrix(1,0,0,-1,207.63,17.35)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,214.59,20.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="42.619999" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="50.25" y="-0.029999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="66.489998" y="-7.29"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="4.1700001" y="-0.029999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.285887" y="-0.029999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="22.449387" y="-0.029999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.326036" y="-0.029999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="34.539787" y="-0.029999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.453224" y="-0.029999999"> )</t年代pan> </text> <g> <path d="m 278.08,23.6 12.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,278.08,11.72)"> <tspan style="font-size: 12.50px; " x="16.43" y="-9.9499998"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="186.67" y="-26.93"> (</t年代pan> <tspan style="font-size: 12.50px; " x="190.8335" y="-26.93"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="197.08499" y="-26.93"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="200.21075" y="-26.93"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="206.46225" y="-26.93"> )</t年代pan> </text> </g> </g> </svg></span>,(<一个href="#B8">8</一个>,<gydF4y2Ba一个href="#B13">14</一个>),作者概括Sumudu变换分布的概念。自Sumudu变换是一种方便的工具在时域求解微分方程,而不需要执行一个Sumudu逆变换,看到<一个href="#B6">15</一个>]。这个新的有趣的变换的适用性和效率在解决线性常微分方程常数和非常数的系数曲线玲珑也研究[<一个href="#B9">16</一个>,<gydF4y2Ba一个href="#B15">17</一个>]。</gydF4y2Bap> <h4 id="main-results">2。主要结果</h4><gydF4y2Bap>下面的定理被证明在<一个href="#B7">5</一个>]。</gydF4y2Bap> <p><span class="statement" id="thm1"><span class="statement-title">定理2.1。</年代pan><i>让<年代vg height="13.6125" id="M10" style="vertical-align:-2.34499pt;width:27.799999px;" version="1.1" viewbox="0 0 27.799999 13.6125" width="27.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.979315" y="0"> )</t年代pan> </text> </g> </g> </svg>和<年代vg height="13.6125" id="M11" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</t年代pan> </text> </g> </g> </svg>两个函数有Sumudu变换。然后Sumudu变换的卷积<年代vg height="13.6125" id="M12" style="vertical-align:-2.34499pt;width:27.799999px;" version="1.1" viewbox="0 0 27.799999 13.6125" width="27.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.979315" y="0"> )</t年代pan> </text> </g> </g> </svg>和<年代vg height="13.6125" id="M13" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</t年代pan> </text> </g> </g> </svg>,</我><年代pan class="equation" id="eq3"> <svg height="37.012501" id="M14" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 37.012501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,37.0125)"> <g transform="translate(72,-42.39)"> <text transform="matrix(1,0,0,-1,122.31,54.07)"> <tspan style="font-size: 12.50px; " x="66.809998" y="7.6999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.87833" y="0"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="23.193066" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.844662" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="36.096161" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="40.259659" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="47.136311" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="54.763142" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,196.12,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,203.52,54.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.678522" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.367626" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="27.619127" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.346222" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="40.50972" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.174538" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="61.514759" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="68.203865" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="74.455368" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="81.106964" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="87.796066" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="261.23001" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="265.39349" y="-0.0099999998"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="271.64499" y="-0.0099999998"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="274.77075" y="-0.0099999998"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="281.02225" y="-0.0099999998"> )</t年代pan> </text> </g> </g> </svg></span><i>是由</我><年代pan class="equation" id="EEq2.1"> <svg height="16.5375" id="M15" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 16.5375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,126.05,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.08" y="0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="80.120003" y="0.039999999"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="15.25" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="19.4135" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.115828" y="0"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="38.443066" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.094662" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="51.333656" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="55.497158" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="62.373806" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="68.625305" y="0"> ;</t年代pan> <tspan style="font-size: 12.50px; " x="74.18914" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="87.75" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="99.79039" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="105.71681" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="117.3321" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="121.4956" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="127.42202" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="133.67352" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="145.18878" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="149.35228" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="155.2787" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="161.5177" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="338.70001" y="0.63"> (</t年代pan> <tspan style="font-size: 12.50px; " x="342.86349" y="0.63"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="349.11499" y="0.63"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="352.24075" y="0.63"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="358.49225" y="0.63"> )</t年代pan> </text> </g> </g> </svg></span><i></i></span></p> <p>接下来,它可以扩展到双卷积如下。</gydF4y2Bap> <p><span class="statement" id="thm2"><span class="statement-title">定理2.2。</年代pan><i>让<年代vg height="13.6125" id="M16" style="vertical-align:-2.34499pt;width:39.212502px;" version="1.1" viewbox="0 0 39.212502 13.6125" width="39.212502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="27.094002" y="0"> )</t年代pan> </text> </g> </g> </svg>和<年代vg height="13.6125" id="M17" style="vertical-align:-2.34499pt;width:38.224998px;" version="1.1" viewbox="0 0 38.224998 13.6125" width="38.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.228414" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="19.429663" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.306313" y="0"> )</t年代pan> </text> </g> </g> </svg>有双重Sumudu变换。然后,双Sumudu变换的卷积的两倍<年代vg height="13.4875" id="M18" style="vertical-align:-2.34499pt;width:10.675px;" version="1.1" viewbox="0 0 10.675 13.4875" width="10.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.4875)"> <g transform="translate(72,-61.21)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vg height="9.9375" id="M19" style="vertical-align:-2.34499pt;width:8.4375px;" version="1.1" viewbox="0 0 8.4375 9.9375" width="8.4375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.9375)"> <g transform="translate(72,-64.05)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,</我><年代pan class="equation" id="eq4"> <svg height="38.387501" id="M20" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.387501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,38.3875)"> <g transform="translate(72,-41.29)"> <text transform="matrix(1,0,0,-1,80.15,52.97)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="82.480003" y="7.71"> </t年代pan> <tspan style="font-size: 12.50px; " x="4.1599998" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.874831" y="0.0099999998"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="23.189566" y="0.0099999998"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="29.728636" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.38023" y="0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="42.631729" y="0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="46.795231" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.708668" y="0.0099999998"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="55.922421" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="62.799068" y="0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="70.425903" y="0.0099999998"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,169.63,66.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,175.33,45.26)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,182.34,66.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,189.73,52.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.678522" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.367626" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="26.581379" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.832878" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="39.084377" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="47.811474" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="51.974972" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="58.676579" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="70.0168" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="76.705902" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="81.90715" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="91.571976" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="102.91219" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="109.1637" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="115.41519" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="122.06679" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="130.83139" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="137.48299" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="143.73448" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="275.01999" y="-0.56"> (</t年代pan> <tspan style="font-size: 12.50px; " x="279.1835" y="-0.56"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="285.435" y="-0.56"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="288.56076" y="-0.56"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="294.81226" y="-0.56"> )</t年代pan> </text> </g> </g> </svg></span><i>存在,是由</我><年代pan class="equation" id="EEq2.2"> <svg height="16.5375" id="M21" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 16.5375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,95.75,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,103.88,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,110.83,63.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="96.239998" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="4.1700001" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="8.333499" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.04833" y="-0.039999999"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="27.363066" y="-0.039999999"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="33.902134" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.55373" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="46.792728" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="50.956226" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.869663" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="60.083416" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="66.960068" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="73.211563" y="-0.039999999"> ;</t年代pan> <tspan style="font-size: 12.50px; " x="78.762901" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="85.089417" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="90.303169" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="103.87" y="-0.039999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="115.91039" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="121.83681" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="128.16333" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="139.77861" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="143.94211" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="150.26863" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="155.48239" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="161.40881" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="167.66031" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="179.16307" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="183.32657" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="189.65308" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="194.86684" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="200.79326" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="207.04475" y="-0.039999999"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="353.92001" y="0.58999997"> (</t年代pan> <tspan style="font-size: 12.50px; " x="358.0835" y="0.58999997"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="364.33499" y="0.58999997"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="367.46075" y="0.58999997"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="373.71225" y="0.58999997"> )</t年代pan> </text> </g> </g> </svg></span><i></i></span></p> <p><span class="statement" id="proof1"><span class="statement-title"><i class="statement-title">证明。</我></年代pan>通过使用双Sumudu变换和双卷积的定义,我们有<年代pan class="equation" id="eq5"> <svg height="87.150002" id="M22" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 87.150002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,87.15)"> <g transform="translate(72,-2.28)"> <text transform="matrix(1,0,0,-1,-11.04,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-2.91,51.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,4.04,54.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="96.239998" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="103.87" y="-0.039999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="120.11" y="-7.29"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="4.1700001" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="8.333499" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.04833" y="-0.039999999"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="27.363066" y="-0.039999999"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="33.902134" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.55373" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="46.792728" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="50.956226" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.869663" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="60.083416" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="66.960068" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="73.211563" y="-0.039999999"> ;</t年代pan> <tspan style="font-size: 12.50px; " x="78.762901" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="85.089417" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="90.303169" y="-0.039999999"> </t年代pan> </text> <g> <path d="m 121.15,57.28 12.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,121.15,45.41)"> <tspan style="font-size: 12.50px; " x="13.45" y="-1.05"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,145.57,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="25.530001"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,154.18,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,159.74,59.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="8.9095364" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="11.823952" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="14.563328" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="16.996384" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="21.424896" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="24.339312" y="0"> +</t年代pan> <tspan style="font-size: 8.75px; " x="30.334433" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="33.248848" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="38.062447" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="40.495502" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="44.643951" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="47.558369" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,212.8,54.16)"> <tspan style="font-size: 12.50px; " x="-104.89" y="39.580002"> =</t年代pan> <tspan style="font-size: 12.50px; " x="-88.650002" y="32.330002"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.865827" y="0"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="23.193066" y="0"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="29.732134" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.383732" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="42.622726" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="46.786224" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.699665" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="55.913418" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="62.790066" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="69.041565" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="75.693161" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="81.682098" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="88.333694" y="0"> </t年代pan> </text> <g> <path d="m 121.15,17.71 12.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,121.15,5.83)"> <tspan style="font-size: 12.50px; " x="13.45" y="-1.0599999"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,145.57,28.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="25.52"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,154.18,14.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,159.74,19.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="5.8288321" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="8.5682077" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="11.001264" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.429776" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="18.344193" y="0"> +</t年代pan> <tspan style="font-size: 8.75px; " x="24.339312" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="27.253729" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="32.067329" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="34.500385" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="38.64883" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="41.563248" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,206.8,7.26)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.3800001" y="0.37"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,223.18,28.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,228.89,6.89)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,235.89,28.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,243.29,14.58)"> <tspan style="font-size: 12.50px; " x="143.74001" y="7.3200002"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.678522" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.367626" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="26.568874" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.820374" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="39.071877" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="47.811474" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="51.974972" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="58.664078" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="70.004295" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="76.693405" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="81.90715" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="91.559471" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="102.89969" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="109.15119" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="115.40269" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="122.05428" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="130.83139" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="137.48299" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="155.2" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="161.85159" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="167.84053" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="174.49213" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="181.36877" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="221.46001" y="-19.43"> (</t年代pan> <tspan style="font-size: 12.50px; " x="225.6235" y="-19.43"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="231.875" y="-19.43"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="235.00075" y="-19.43"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="241.25224" y="-19.43"> )</t年代pan> </text> </g> </g> </svg></span>让<年代vg height="13.425" id="M23" style="vertical-align:-2.29482pt;width:59.237499px;" version="1.1" viewbox="0 0 59.237499 13.425" width="59.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.425)"> <g transform="translate(72,-61.26)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="22.555412" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.244516" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="40.58474" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vg height="13.425" id="M24" style="vertical-align:-2.29482pt;width:62.299999px;" version="1.1" viewbox="0 0 62.299999 13.425" width="62.299999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.425)"> <g transform="translate(72,-61.26)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.440005" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="22.480394" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.13271" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="43.472931" y="0"> </t年代pan> </text> </g> </g> </svg>,使用有效的扩展积分上限的<年代vg height="9.125" id="M25" style="vertical-align:-0.11285pt;width:47.849998px;" version="1.1" viewbox="0 0 47.849998 9.125" width="47.849998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.125)"> <g transform="translate(72,-64.7)"> <text transform="matrix(1,0,0,-1,-71.95,64.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.4647713" y="0"> →</t年代pan> <tspan style="font-size: 12.50px; " x="26.593882" y="0"> ∞</t年代pan> </text> </g> </g> </svg>和<年代vg height="7.2624998" id="M26" style="vertical-align:-0.11285pt;width:51.5625px;" version="1.1" viewbox="0 0 51.5625 7.2624998" width="51.5625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.2625)"> <g transform="translate(72,-66.19)"> <text transform="matrix(1,0,0,-1,-71.95,66.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.427982" y="0"> →</t年代pan> <tspan style="font-size: 12.50px; " x="29.557093" y="0"> ∞</t年代pan> </text> </g> </g> </svg>,我们有<年代pan class="equation" id="eq6"> <svg height="38.737499" id="M27" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.737499" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,38.7375)"> <g transform="translate(72,-41.01)"> <text transform="matrix(1,0,0,-1,-2.18,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,5.95,51.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,12.9,54.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="96.239998" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="103.87" y="-0.039999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="120.11" y="-7.29"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="4.1700001" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="8.333499" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.04833" y="-0.039999999"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="27.363066" y="-0.039999999"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="33.902134" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.55373" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="46.792728" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="50.956226" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.869663" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="60.083416" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="66.960068" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="73.211563" y="-0.039999999"> ;</t年代pan> <tspan style="font-size: 12.50px; " x="78.762901" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="85.089417" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="90.303169" y="-0.039999999"> </t年代pan> </text> <g> <path d="m 130.01,57.28 12.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,130.01,45.41)"> <tspan style="font-size: 12.50px; " x="13.45" y="-1.05"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,154.43,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="25.530001"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,163.04,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,168.6,59.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="8.9095364" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="11.823952" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="16.49752" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="18.930576" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="23.359089" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="26.273504" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="32.268623" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="35.183041" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="39.55904" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="41.992096" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="46.140545" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="49.054958" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,221.08,54.16)"> <tspan style="font-size: 12.50px; " x="30.41" y="7.6999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.416199" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.067795" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,258.49,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> −</t年代pan> <tspan style="font-size: 8.75px; " x="4.74512" y="25.530001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,270.5,46.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,277.5,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> −</t年代pan> <tspan style="font-size: 8.75px; " x="4.74512" y="25.530001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,289.2,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,294.77,59.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="8.9095364" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="11.823952" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="16.751328" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="19.184383" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="23.612896" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="26.527311" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="32.52243" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="35.436848" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="40.320465" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="42.753521" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="46.901966" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="49.816383" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,348.01,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.7270937" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.890593" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.942286" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="25.156036" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.13271" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="38.371708" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.023304" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.162994" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="60.81459" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="67.791267" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="116.74" y="0.77999997"> (</t年代pan> <tspan style="font-size: 12.50px; " x="120.9035" y="0.77999997"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="127.155" y="0.77999997"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="130.28075" y="0.77999997"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="136.53224" y="0.77999997"> )</t年代pan> </text> </g> </g> </svg></span>因为这两个函数<年代vg height="13.6125" id="M28" style="vertical-align:-2.34499pt;width:39.212502px;" version="1.1" viewbox="0 0 39.212502 13.6125" width="39.212502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="27.094002" y="0"> )</t年代pan> </text> </g> </g> </svg>和<年代vg height="13.6125" id="M29" style="vertical-align:-2.34499pt;width:38.224998px;" version="1.1" viewbox="0 0 38.224998 13.6125" width="38.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.228414" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="19.429663" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.306313" y="0"> )</t年代pan> </text> </g> </g> </svg>为零,<年代vg height="11.0625" id="M30" style="vertical-align:-0.30096pt;width:32.224998px;" version="1.1" viewbox="0 0 32.224998 11.0625" width="32.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0625)"> <g transform="translate(72,-63.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> <</t年代pan> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> 0</t年代pan> </text> </g> </g> </svg>,<年代vg height="11.0625" id="M31" style="vertical-align:-0.30096pt;width:35.924999px;" version="1.1" viewbox="0 0 35.924999 11.0625" width="35.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0625)"> <g transform="translate(72,-63.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> <</t年代pan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> 0</t年代pan> </text> </g> </g> </svg>,它遵循关于集成的下限<年代pan class="equation" id="eq7"> <svg height="36.887501" id="M32" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 36.887501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,36.8875)"> <g transform="translate(72,-42.49)"> <text transform="matrix(1,0,0,-1,7.93,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,16.06,51.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,23.01,54.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="96.239998" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="103.87" y="-0.039999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="120.11" y="-7.29"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="4.1700001" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="8.333499" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.035828" y="-0.039999999"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="27.363066" y="-0.039999999"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="33.902134" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.55373" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="46.792728" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="50.956226" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.869663" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="60.083416" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="66.960068" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="73.211563" y="-0.039999999"> ;</t年代pan> <tspan style="font-size: 12.50px; " x="78.762901" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="85.089417" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="90.303169" y="-0.039999999"> </t年代pan> </text> <g> <path d="m 140.12,57.28 12.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,140.12,45.41)"> <tspan style="font-size: 12.50px; " x="13.45" y="-1.05"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,164.54,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="25.530001"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,173.15,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,178.71,59.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="8.9095364" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="11.823952" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="16.49752" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="18.930576" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="23.359089" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="26.273504" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="32.268623" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="35.183041" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="39.55904" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="41.992096" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="46.140545" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="49.054958" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,231.19,54.16)"> <tspan style="font-size: 12.50px; " x="28.32" y="7.6999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.416199" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.067795" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,270.49,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="25.530001"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,279.09,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,284.66,59.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="8.9095364" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="11.823952" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="16.751328" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="19.184383" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="23.612896" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="26.527311" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="32.52243" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="35.436848" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="40.320465" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="42.753521" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="46.901966" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="49.816383" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,337.9,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.7270937" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.890593" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.942286" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="25.156036" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.13271" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="38.371708" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.023304" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.162994" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="60.81459" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="67.791267" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="126.85" y="0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="131.0135" y="0.039999999"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="137.265" y="0.039999999"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="140.39075" y="0.039999999"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="146.64224" y="0.039999999"> )</t年代pan> </text> </g> </g> </svg></span>然后,它很容易看到<年代pan class="equation" id="eq8"> <svg height="16.5375" id="M33" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 16.5375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,95.75,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,103.88,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,110.83,63.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="96.239998" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="4.1700001" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="8.333499" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.04833" y="-0.039999999"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="27.363066" y="-0.039999999"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="33.902134" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.55373" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="46.792728" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="50.956226" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.869663" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="60.083416" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="66.960068" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="73.211563" y="-0.039999999"> ;</t年代pan> <tspan style="font-size: 12.50px; " x="78.762901" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="85.089417" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="90.303169" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="103.87" y="-0.039999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="115.91039" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="121.83681" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="128.16333" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="139.77861" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="143.94211" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="150.26863" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="155.48239" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="161.40881" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="167.66031" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="179.16307" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="183.32657" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="189.65308" y="-0.039999999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="194.86684" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="200.79326" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="207.04475" y="-0.039999999"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="353.92001" y="0.58999997"> (</t年代pan> <tspan style="font-size: 12.50px; " x="358.0835" y="0.58999997"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="364.33499" y="0.58999997"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="367.46075" y="0.58999997"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="373.71225" y="0.58999997"> )</t年代pan> </text> </g> </g> </svg></span>看到的更多细节<一个href="#B13">14</一个>]。</年代pan></p> <p>许多物理生物和经济过程的数学模型与系统的常系数线性常微分<年代pan class="equation" id="EEq2.3"> <svg height="32.137501" id="M34" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 32.137501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,32.1375)"> <g transform="translate(72,-46.29)"> <text transform="matrix(1,0,0,-1,147.69,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </t年代pan> </text> <g> <path d="m 147.69,58.37 15.09,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,148.47,46.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.969999" y="-8.7600002"> =</t年代pan> <tspan style="font-size: 12.50px; " x="31.010389" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="39.97504" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="46.914204" y="-8.7600002"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="72.045235" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="82.572762" y="-8.7600002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="86.736259" y="-8.7600002"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="92.987762" y="-8.7600002"> )</t年代pan> <tspan style="font-size: 12.50px; " x="100.61459" y="-8.7600002"> =</t年代pan> <tspan style="font-size: 12.50px; " x="112.65498" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="118.65642" y="-8.7600002"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="316.28" y="-9.5299997"> (</t年代pan> <tspan style="font-size: 12.50px; " x="320.44351" y="-9.5299997"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="326.69501" y="-9.5299997"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="329.82074" y="-9.5299997"> 9</t年代pan> <tspan style="font-size: 12.50px; " x="336.07224" y="-9.5299997"> )</t年代pan> </text> </g> </g> </svg></span>方程(<一个href="#EEq2.3">2.9</一个>)是研究[<一个href="#B1">18</一个>通过使用通过拉普拉斯变换)<年代vg height="13.4875" id="M35" style="vertical-align:-2.34499pt;width:10.675px;" version="1.1" viewbox="0 0 10.675 13.4875" width="10.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.4875)"> <g transform="translate(72,-61.21)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vg height="10.55" id="M36" style="vertical-align:-0.0pt;width:11.325px;" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.55)"> <g transform="translate(72,-63.56)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>方阵的吗<年代vg height="10.95" id="M37" style="vertical-align:-0.12538pt;width:20.174999px;" version="1.1" viewbox="0 0 20.174999 10.95" width="20.174999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.95)"> <g transform="translate(72,-63.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.2139912" y="0"> t</t年代pan> <tspan style="font-size: 12.50px; " x="9.7773457" y="0"> h</t年代pan> </text> </g> </g> </svg>秩序,的元素<年代vg height="10.55" id="M38" style="vertical-align:-0.0pt;width:11.325px;" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.55)"> <g transform="translate(72,-63.56)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>已知常数,以及控制理论<年代vg height="10.55" id="M39" style="vertical-align:-0.0pt;width:11.325px;" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.55)"> <g transform="translate(72,-63.56)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>被称为同伴的状态矩阵。初始条件满足的矩阵<年代vg height="13.6125" id="M40" style="vertical-align:-2.34499pt;width:27.799999px;" version="1.1" viewbox="0 0 27.799999 13.6125" width="27.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.979315" y="0"> )</t年代pan> </text> </g> </g> </svg>是<年代vg height="13.6125" id="M41" style="vertical-align:-2.34499pt;width:55.325001px;" version="1.1" viewbox="0 0 55.325001 13.6125" width="55.325001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="17.354164" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="24.980993" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="37.021381" y="0"> </t年代pan> </text> </g> </g> </svg>,在那里<年代vg height="10.325" id="M42" style="vertical-align:-0.0pt;width:9.0375004px;" version="1.1" viewbox="0 0 9.0375004 10.325" width="9.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是<年代vg height="7.1374998" id="M43" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>阶单位矩阵。众所周知,(<一个href="#EEq2.3">2.9</一个>用给定的初始条件)的解决方案<年代pan class="equation" id="EEq2.4"> <svg height="48.262501" id="M44" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.262501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,48.2625)"> <g transform="translate(72,-33.39)"> <text transform="matrix(1,0,0,-1,135.47,49.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.678522" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.555172" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,180.73,65.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> </text> <text transform="matrix(1,0,0,-1,176.7,43.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,177.22,36.04)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,194.94,42.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.57" y="-15.56"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.733499" y="-15.56"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.698151" y="-15.56"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.5748" y="-15.56"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,229.68,63.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 205.51,52.9 29.42,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,214.75,41.02)"> <tspan style="font-size: 12.50px; " x="21.370001" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.7766261" y="0"> !</t年代pan> <tspan style="font-size: 12.50px; " x="34.220001" y="-8.75"> =</t年代pan> <tspan style="font-size: 12.50px; " x="46.247887" y="-8.75"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,266.57,54.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="6.2751842" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,278.16,49.57)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="180.33" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="184.4935" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="190.745" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="193.87074" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="200.12225" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="206.37375" y="0"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vg height="13.85" id="M45" style="vertical-align:-0.13794pt;width:21.5625px;" version="1.1" viewbox="0 0 21.5625 13.85" width="21.5625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.85)"> <g transform="translate(72,-60.92)"> <text transform="matrix(1,0,0,-1,-71.95,61.11)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.39,66.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="6.2751842" y="0"> </t年代pan> </text> </g> </g> </svg>矩阵指数函数。获得的解决方案(<一个href="#EEq2.3">2.9</一个>)Sumudu变换,我们使用以下定义:<年代pan class="equation" id="EEq2.5"> <svg height="36.887501" id="M46" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 36.887501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,36.8875)"> <g transform="translate(72,-42.49)"> <text transform="matrix(1,0,0,-1,90.26,54.16)"> <tspan style="font-size: 12.50px; " x="49.360001" y="7.6999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.1269503" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.641973" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="22.805471" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.682121" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.321453" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,146.62,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,157.31,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,162.87,59.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="10.80872" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="13.241776" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,180.76,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.678522" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.555172" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="27.806671" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.458267" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.810753" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="56.851143" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="68.466431" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="72.629929" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="78.556351" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="84.807846" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="99.973991" y="0"> R</t年代pan> <tspan style="font-size: 12.50px; " x="108.31349" y="0"> e</t年代pan> <tspan style="font-size: 12.50px; " x="118.04082" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="127.44308" y="0"> ></t年代pan> <tspan style="font-size: 12.50px; " x="139.47096" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="277.73001" y="0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="281.89349" y="0.039999999"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="288.14499" y="0.039999999"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="291.27075" y="0.039999999"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="297.52225" y="0.039999999"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="303.77374" y="0.039999999"> )</t年代pan> </text> </g> </g> </svg></span>和衍生品的Sumudu变换<年代pan class="equation" id="eq9"> <svg height="38.575001" id="M47" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.575001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,38.575)"> <g transform="translate(72,-41.14)"> <text transform="matrix(1,0,0,-1,97.83,53.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.09" y="7.3299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.629999" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.281595" y="-8.3500004"> </t年代pan> </text> <g> <path d="m 116.46,56.57 15.09,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,117.25,44.69)"> <tspan style="font-size: 12.50px; " x="15.5" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.33" y="-8.7600002"> =</t年代pan> <tspan style="font-size: 12.50px; " x="38.560001" y="-16.01"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </t年代pan> </text> <g> <path d="m 155.81,56.57 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,155.97,44.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="48.48" y="-16.01"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="7.29" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.905287" y="-8.7600002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="23.068787" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="28.995209" y="-8.7600002"> )</t年代pan> <tspan style="font-size: 12.50px; " x="35.934372" y="-8.7600002"> −</t年代pan> </text> <g> <path d="m 204.45,56.57 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,204.61,44.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="49.099998" y="-16.01"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="7.29" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.805023" y="-8.7600002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="21.968521" y="-8.7600002"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="28.220022" y="-8.7600002"> )</t年代pan> <tspan style="font-size: 12.50px; " x="35.859356" y="-8.7600002"> =</t年代pan> </text> <g> <path d="m 253.71,56.57 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,253.87,44.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="48.48" y="-16.01"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="7.2800002" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.895287" y="-8.7600002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="23.058786" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="28.985209" y="-8.7600002"> )</t年代pan> <tspan style="font-size: 12.50px; " x="35.936874" y="-8.7600002"> −</t年代pan> </text> <g> <path d="m 302.35,56.57 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,302.51,44.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.2800002" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.28144" y="-8.7600002"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="155.98" y="-8.7600002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="160.14349" y="-8.7600002"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="166.395" y="-8.7600002"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="169.52075" y="-8.7600002"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="175.77225" y="-8.7600002"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="182.02374" y="-8.7600002"> )</t年代pan> </text> </g> </g> </svg></span>然后Sumudu变换(<一个href="#EEq2.3">2.9</一个>因此,)是由<年代pan class="equation" id="eq10"> <svg height="16.5375" id="M48" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 16.5375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,159.84,63.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="39.18" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="4.1700001" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.934603" y="-0.039999999"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.287327" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.213749" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.43" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="57.045288" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="61.208786" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="67.135208" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="74.774544" y="-0.039999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="86.814934" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="93.940002" y="0.58999997"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="298.64999" y="0.58999997"> (</t年代pan> <tspan style="font-size: 12.50px; " x="302.81351" y="0.58999997"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="309.065" y="0.58999997"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="312.19073" y="0.58999997"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="318.44226" y="0.58999997"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="324.69376" y="0.58999997"> )</t年代pan> </text> </g> </g> </svg></span>因此<年代pan class="equation" id="eq11"> <svg height="32.825001" id="M49" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 32.825001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,32.825)"> <g transform="translate(72,-45.74)"> <text transform="matrix(1,0,0,-1,163.25,56.53)"> <tspan style="font-size: 12.50px; " x="60.689999" y="-7.2600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.615287" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.705208" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.344542" y="0"> =</t年代pan> </text> <g> <path d="m 205.84,59.66 43.34,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,205.84,47.74)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="39.169998" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="44.529999" y="-8.79"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="4.1599998" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.937106" y="-0.039999999"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.277327" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.203749" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="252.64999" y="-8.0100002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="256.81351" y="-8.0100002"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="263.065" y="-8.0100002"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="266.19073" y="-8.0100002"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="272.44226" y="-8.0100002"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="278.69376" y="-8.0100002"> )</t年代pan> </text> </g> </g> </svg></span>在未来,我们给出一些应用程序。</gydF4y2Bap> <h5 id="sec2.1">2.1。溶剂的<年代vg height="10.55" id="M50" style="vertical-align:-0.0pt;width:11.325px;" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.55)"> <g transform="translate(72,-63.56)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg></h5> <p>矩阵<年代vg height="13.45" id="M51" style="vertical-align:-2.21957pt;width:101.1625px;" version="1.1" viewbox="0 0 101.1625 13.45" width="101.1625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.7268538" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.890353" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.816774" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="25.443605" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="37.483994" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="41.647491" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.424599" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="61.76482" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="67.691238" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="76.655891" y="0"> ]</t年代pan> </text> </g> </g> </svg>的特征矩阵吗<年代vg height="10.55" id="M52" style="vertical-align:-0.0pt;width:11.325px;" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.55)"> <g transform="translate(72,-63.56)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。矩阵<年代vg height="16.75" id="M53" style="vertical-align:-2.21957pt;width:117.3px;" version="1.1" viewbox="0 0 117.3 16.75" width="117.3" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.75)"> <g transform="translate(72,-58.6)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.764843" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.928342" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.854765" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="27.481594" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="39.521984" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="43.685482" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="52.462589" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="63.802811" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="69.729233" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="78.693886" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,10.92,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> </g> </g> </svg>被称为溶剂的<年代vg height="10.55" id="M54" style="vertical-align:-0.0pt;width:11.325px;" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.55)"> <g transform="translate(72,-63.56)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。如果<年代vg height="10.8125" id="M55" style="vertical-align:-0.20064pt;width:8.5749998px;" version="1.1" viewbox="0 0 8.5749998 10.8125" width="8.5749998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>的特征值<年代vg height="10.55" id="M56" style="vertical-align:-0.0pt;width:11.325px;" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.55)"> <g transform="translate(72,-63.56)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>最大模量,那么我们有几何级数扩张,<年代pan class="equation" id="EEq2.6"> <svg height="48.262501" id="M57" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.262501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,48.2625)"> <g transform="translate(72,-33.39)"> <text transform="matrix(1,0,0,-1,101.25,49.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.840341" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="16.003839" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.930262" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.569595" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="41.609985" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="45.773483" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.550591" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="65.890808" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="71.81723" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="80.781883" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,186.21,54.95)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,200.55,49.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,216.61,65.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> </text> <text transform="matrix(1,0,0,-1,212.59,43.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,213.11,36.04)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,230.82,47.26)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.02" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.984652" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.911074" y="-2.51"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,259.89,54.95)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,265.14,47.26)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.3199997" y="-2.51"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.347885" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.975677" y="-2.51"> (</t年代pan> <tspan style="font-size: 12.50px; " x="37.139175" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="43.065598" y="-2.51"> )</t年代pan> <tspan style="font-size: 12.50px; " x="47.23" y="-2.3099999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="193.35001" y="-2.3099999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="197.5135" y="-2.3099999"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="203.765" y="-2.3099999"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="206.89075" y="-2.3099999"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="213.14224" y="-2.3099999"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="219.39375" y="-2.3099999"> )</t年代pan> </text> </g> </g> </svg></span>提供,<年代vg height="13.45" id="M58" style="vertical-align:-2.21957pt;width:47.875px;" version="1.1" viewbox="0 0 47.875 13.45" width="47.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="2.5006001" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.427022" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="14.390953" y="0"> ></t年代pan> <tspan style="font-size: 12.50px; " x="26.431341" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="28.931942" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="35.696064" y="0"> |</t年代pan> </text> </g> </g> </svg>。Sumudu变换变量<年代vg height="7.1624999" id="M59" style="vertical-align:-0.11285pt;width:7.5374999px;" version="1.1" viewbox="0 0 7.5374999 7.1624999" width="7.5374999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>可能是足够大,这样<年代vg height="13.45" id="M60" style="vertical-align:-2.21957pt;width:47.875px;" version="1.1" viewbox="0 0 47.875 13.45" width="47.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="2.5006001" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.427022" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="14.390953" y="0"> ></t年代pan> <tspan style="font-size: 12.50px; " x="26.431341" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="28.931942" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="35.696064" y="0"> |</t年代pan> </text> </g> </g> </svg>在无限满足几何级数(<一个href="#EEq2.6">2.15</一个>)。的逆Sumudu变换(<一个href="#EEq2.6">2.15</一个>)现在可能为了获得<年代pan class="equation" id="EEq2.7"> <svg height="48.474998" id="M61" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.474998" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,48.475)"> <g transform="translate(72,-33.22)"> <text transform="matrix(1,0,0,-1,50.25,49.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,59.25,54.67)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,72.2,49.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="30.040001" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="4.1700001" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.785287" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="19.948786" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.875208" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.68" y="-0.039999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="49.707886" y="-0.039999999"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,130.92,54.67)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,143.87,47.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="4.79" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="8.9534988" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.730604" y="-2.52"> −</t年代pan> <tspan style="font-size: 12.50px; " x="29.070826" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.99725" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="43.961899" y="-2.52"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,192,54.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,202.87,47.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.2600002" y="-2.51"> =</t年代pan> <tspan style="font-size: 12.50px; " x="20.300388" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,232.17,54.67)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,245.13,39.87)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,257.42,65.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> </text> <text transform="matrix(1,0,0,-1,253.39,43.05)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,253.91,35.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,271.63,47.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.013499" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.978149" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.904572" y="-2.52"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,300.7,54.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,305.94,47.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="7.2199998"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.59" y="-2.51"> =</t年代pan> <tspan style="font-size: 12.50px; " x="29.617886" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.145412" y="-2.51"> (</t年代pan> <tspan style="font-size: 12.50px; " x="44.30891" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.185562" y="-2.51"> )</t年代pan> <tspan style="font-size: 12.50px; " x="57.437061" y="-2.51"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="152.55" y="-2.4000001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="156.7135" y="-2.4000001"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="162.965" y="-2.4000001"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="166.09074" y="-2.4000001"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="172.34225" y="-2.4000001"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="178.59375" y="-2.4000001"> )</t年代pan> </text> </g> </g> </svg></span>因此,(<一个href="#EEq2.7">2.16</一个>)可以书面的形式<年代pan class="equation" id="EEq2.8"> <svg height="48.262501" id="M62" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.262501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,48.2625)"> <g transform="translate(72,-33.39)"> <text transform="matrix(1,0,0,-1,99.63,49.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,108.63,54.84)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,121.59,49.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="30.040001" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="4.1599998" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.775287" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="19.938786" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.865208" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.669998" y="-0.039999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="49.710388" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="60.22541" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="64.388908" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="71.265564" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="78.904892" y="-0.039999999"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,216.56,65.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> </text> <text transform="matrix(1,0,0,-1,212.54,43.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,213.06,36.04)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,230.78,42.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.57" y="-15.56"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.733499" y="-15.56"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.698151" y="-15.56"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.5748" y="-15.56"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,265.52,63.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 241.35,52.9 29.41,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,250.59,41.02)"> <tspan style="font-size: 12.50px; " x="21.370001" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.7766261" y="0"> !</t年代pan> <tspan style="font-size: 12.50px; " x="34.220001" y="-8.75"> =</t年代pan> <tspan style="font-size: 12.50px; " x="46.247887" y="-8.75"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,302.41,54.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="6.2751842" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,313.99,49.57)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="144.5" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="148.6635" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="154.91499" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="158.04076" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="164.29225" y="0"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="170.54375" y="0"> )</t年代pan> </text> </g> </g> </svg></span>因此,有用的结果,<年代pan class="equation" id="EEq2.9"> <svg height="19.700001" id="M63" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.700001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.7)"> <g transform="translate(72,-56.24)"> <text transform="matrix(1,0,0,-1,149.17,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,158.18,65.93)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,171.13,58.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="4.79" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="8.9534988" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.718102" y="-2.52"> −</t年代pan> <tspan style="font-size: 12.50px; " x="29.070826" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.99725" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="43.961899" y="-2.52"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,219.26,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,230.13,58.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.2600002" y="-2.52"> =</t年代pan> <tspan style="font-size: 12.50px; " x="20.287886" y="-2.52"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,255.99,65.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="6.2751842" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,458.49,61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="13.540749" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="26.043749" y="0"> )</t年代pan> </text> </g> </g> </svg></span>作为一个知名的标量Sumudu逆变换,<年代pan class="equation" id="eq12"> <svg height="19.700001" id="M64" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.700001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.7)"> <g transform="translate(72,-56.24)"> <text transform="matrix(1,0,0,-1,149.77,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,158.77,65.93)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,171.73,58.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="4.7800002" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="8.9434986" y="-2.52"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="17.970665" y="-2.52"> −</t年代pan> <tspan style="font-size: 12.50px; " x="29.310886" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="35.587391" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="41.513813" y="-2.52"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,217.42,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,228.29,58.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.2600002" y="-2.52"> =</t年代pan> <tspan style="font-size: 12.50px; " x="20.287886" y="-2.52"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,254.15,65.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.3935041" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,263.86,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="194.63" y="-0.14"> (</t年代pan> <tspan style="font-size: 12.50px; " x="198.7935" y="-0.14"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="205.045" y="-0.14"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="208.17075" y="-0.14"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="214.42226" y="-0.14"> 9</t年代pan> <tspan style="font-size: 12.50px; " x="220.67375" y="-0.14"> )</t年代pan> </text> </g> </g> </svg></span>溶剂的部分分数指数,如果<年代vg height="13.45" id="M65" style="vertical-align:-2.21957pt;width:33.212502px;" version="1.1" viewbox="0 0 33.212502 13.45" width="33.212502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.305351" y="0"> )</t年代pan> </text> </g> </g> </svg>是一个有理函数的<年代vg height="10.55" id="M66" style="vertical-align:-0.0pt;width:11.325px;" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.55)"> <g transform="translate(72,-63.56)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,然后<年代pan class="equation" id="EEq2.10"> <svg height="19.35" id="M67" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.35" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.35)"> <g transform="translate(72,-56.52)"> <text transform="matrix(1,0,0,-1,80.67,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="55.830002" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="61.68" y="7.1054274e-015"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.52" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.683499" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.648149" y="-0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="32.274979" y="-0.0099999998"> =</t年代pan> <tspan style="font-size: 12.50px; " x="44.315369" y="-0.0099999998"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,149.12,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,153.99,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.9299998" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,170.78,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,178.43,61.13)"> <tspan style="font-size: 12.50px; " x="22.85" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="28.709999" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,213.9,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,218.77,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,235.56,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,243.21,61.13)"> <tspan style="font-size: 12.50px; " x="50.639999" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="56.490002" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> ⋯</t年代pan> <tspan style="font-size: 12.50px; " x="27.781666" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="39.121887" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,306.47,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,311.32,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.9299998" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,328.1,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,332.95,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="125.54" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="129.70351" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="135.955" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="139.08075" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="145.33224" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="151.58376" y="0"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vg height="7.1374998" id="M68" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>的特征值<年代vg height="14.7125" id="M69" style="vertical-align:-3.2316pt;width:147.925px;" version="1.1" viewbox="0 0 147.925 14.7125" width="147.925" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.9646511" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="14.165899" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-51.01,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-45.77,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="9.3772497" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.617207" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="31.657597" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="37.909096" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="43.122849" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="49.374348" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="54.575596" y="0"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="60.827095" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="66.040848" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="80.631844" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="85.833092" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代pan class="equation" id="EEq2.11"> <svg height="45.787498" id="M70" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 45.787498" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,45.7875)"> <g transform="translate(72,-35.37)"> <text transform="matrix(1,0,0,-1,171.41,50.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,180.26,47.43)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,188.98,50.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="15.14" y="-10.57"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.42" y="-8.0600004"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.279999" y="-10.57"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,228.02,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,233.26,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 202.21,53.68 38.81,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,202.21,39.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Φ</t年代pan> </text> <text transform="matrix(1,0,0,-1,211.75,44.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,217.31,37.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,229.93,36.85)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,235.17,37.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.04" y="-13.09"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="223.32001" y="-13.09"> (</t年代pan> <tspan style="font-size: 12.50px; " x="227.48351" y="-13.09"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="233.735" y="-13.09"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="236.86075" y="-13.09"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="243.11224" y="-13.09"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="249.36375" y="-13.09"> )</t年代pan> </text> </g> </g> </svg></span>在(<一个href="#EEq2.11">2.21</一个>),<gydF4y2Ba年代vg height="13.45" id="M71" style="vertical-align:-2.21957pt;width:29.862499px;" version="1.1" viewbox="0 0 29.862499 13.45" width="29.862499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.7020884" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.865587" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.629709" y="0"> )</t年代pan> </text> </g> </g> </svg>和<年代vg height="13.45" id="M72" style="vertical-align:-2.21957pt;width:30.9125px;" version="1.1" viewbox="0 0 30.9125 13.45" width="30.9125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Φ</t年代pan> <tspan style="font-size: 12.50px; " x="9.5397892" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.467411" y="0"> )</t年代pan> </text> </g> </g> </svg>是由<年代pan class="equation" id="EEq2.12"> <svg height="34.1875" id="M73" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 34.1875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,34.1875)"> <g transform="translate(72,-44.65)"> <text transform="matrix(1,0,0,-1,20.72,56.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.277706" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.441205" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.205328" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.844662" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="41.885052" y="0"> 一个</t年代pan> <tspan style="font-size: 12.50px; " x="47.436382" y="0"> d</t年代pan> <tspan style="font-size: 12.50px; " x="53.687881" y="0"> j</t年代pan> <tspan style="font-size: 12.50px; " x="59.239216" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="63.402714" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.192322" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="83.532539" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="90.296669" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="99.261314" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="105.51282" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="130.64384" y="0"> Φ</t年代pan> <tspan style="font-size: 12.50px; " x="142.27164" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="146.43513" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="153.19926" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="160.8261" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="172.86649" y="0"> d</t年代pan> <tspan style="font-size: 12.50px; " x="179.11798" y="0"> e</t年代pan> <tspan style="font-size: 12.50px; " x="184.66931" y="0"> t</t年代pan> <tspan style="font-size: 12.50px; " x="193.05882" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="197.22232" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="206.01193" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="217.35216" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="224.11627" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="233.08093" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="239.33243" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="264.46347" y="0"> Φ</t年代pan> </text> <text transform="matrix(1,0,0,-1,294.73,61.35)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,300.29,53.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,312.9,53.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,318.14,53.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.3299999" y="-2.52"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.370001" y="2.4000001"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.93" y="-9.7700005"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.581596" y="-9.7700005"> Φ</t年代pan> </text> <g> <path d="m 348.07,59.47 16.19,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,349.45,47.59)"> <tspan style="font-size: 12.50px; " x="16" y="-3.8399999"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,373.06,46.96)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.7348318" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="10.729952" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,388.52,44.77)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,392.91,56.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="65.580002" y="1.15"> (</t年代pan> <tspan style="font-size: 12.50px; " x="69.7435" y="1.15"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="75.995003" y="1.15"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="79.12075" y="1.15"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="85.372246" y="1.15"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="91.623749" y="1.15"> )</t年代pan> </text> </g> </g> </svg></span>的矩阵<年代vg height="14.7125" id="M74" style="vertical-align:-3.2316pt;width:132.8125px;" version="1.1" viewbox="0 0 132.8125 14.7125" width="132.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-63.1,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-57.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="9.3772497" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.629709" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="31.657597" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="37.909096" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="43.122849" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="49.374348" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="54.588097" y="0"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="60.8396" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="66.040848" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="80.631844" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="85.845596" y="0"> </t年代pan> </text> </g> </g> </svg>被称为西尔维斯特矩阵的<年代vg height="10.55" id="M75" style="vertical-align:-0.0pt;width:11.325px;" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.55)"> <g transform="translate(72,-63.56)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。这也是众所周知,西尔维斯特矩阵有以下属性:<年代pan class="equation" id="EEq2.13"> <svg height="41.349998" id="M76" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 41.349998" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,41.35)"> <g transform="translate(72,-38.92)"> <text transform="matrix(1,0,0,-1,148.51,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,157.36,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,165.01,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,185.21,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,192.86,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> ⋯</t年代pan> <tspan style="font-size: 12.50px; " x="27.781666" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="39.121887" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,240.84,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,249.16,63.2)"> <tspan style="font-size: 12.50px; " x="-120.84" y="20.48"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.029325" y="0"> ,</t年代pan> </text> <text transform="matrix(1,0,0,-1,137.17,39.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,141.52,42.72)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,150.37,39.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,157.08,42.72)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="32.407776" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="35.88361" y="0"> f</t年代pan> <tspan style="font-size: 12.50px; " x="44.22311" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.799931" y="0"> ≠</t年代pan> <tspan style="font-size: 12.50px; " x="62.452484" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="66.365921" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="75.743172" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="81.994675" y="0"> r</t年代pan> <tspan style="font-size: 12.50px; " x="86.44574" y="0"> t</t年代pan> <tspan style="font-size: 12.50px; " x="90.021599" y="0"> h</t年代pan> <tspan style="font-size: 12.50px; " x="96.273102" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="102.5246" y="0"> g</t年代pan> <tspan style="font-size: 12.50px; " x="108.7761" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="115.0276" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="121.2791" y="0"> 一个</t年代pan> <tspan style="font-size: 12.50px; " x="126.83043" y="0"> l</t年代pan> <tspan style="font-size: 12.50px; " x="130.30626" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="301.41" y="-9.6199999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="305.57349" y="-9.6199999"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="311.82501" y="-9.6199999"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="314.95074" y="-9.6199999"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="321.20224" y="-9.6199999"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="327.45374" y="-9.6199999"> )</t年代pan> </text> </g> </g> </svg></span>为了获得的部分分式分解物<年代vg height="16.75" id="M77" style="vertical-align:-2.21957pt;width:117.3px;" version="1.1" viewbox="0 0 117.3 16.75" width="117.3" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.75)"> <g transform="translate(72,-58.6)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.764843" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.928342" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.854765" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="27.481594" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="39.521984" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="43.685482" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="52.462589" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="63.802811" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="69.729233" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="78.693886" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,10.92,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> </g> </g> </svg>,我们让<年代vg height="16.75" id="M78" style="vertical-align:-2.21957pt;width:120.3625px;" version="1.1" viewbox="0 0 120.3625 16.75" width="120.3625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.75)"> <g transform="translate(72,-58.6)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.305351" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.932182" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="41.972572" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="46.13607" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.913177" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="66.253395" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.179817" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="81.14447" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,13.37,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> </g> </g> </svg>在(<一个href="#EEq2.10">2.20</一个>);我们获得<年代pan class="equation" id="EEq2.14"> <svg height="40.775002" id="M79" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 40.775002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,40.775)"> <g transform="translate(72,-39.38)"> <text transform="matrix(1,0,0,-1,45.1,54.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.840341" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="16.003839" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.930262" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.569595" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="41.609985" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="45.773483" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.550591" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="65.890808" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="71.81723" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="80.781883" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,130.05,59.75)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,144.39,54.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="31.190001" y="-9.1400003"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,184.44,60.59)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <g> <path d="m 157.63,57.7 49.64,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,157.63,41.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="14.877166" y="-2.51"> −</t年代pan> <tspan style="font-size: 12.50px; " x="26.217386" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,190.62,40.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,195.49,44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.75" y="-10.58"> +</t年代pan> <tspan style="font-size: 12.50px; " x="46.25" y="-19.719999"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,250.59,60.59)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 223.78,57.7 49.64,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,223.78,41.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="14.877166" y="-2.51"> −</t年代pan> <tspan style="font-size: 12.50px; " x="26.217386" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,256.77,40.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,261.64,44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="74.040001" y="-19.790001"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.76" y="-10.58"> +</t年代pan> <tspan style="font-size: 12.50px; " x="27.087717" y="-10.58"> ⋯</t年代pan> <tspan style="font-size: 12.50px; " x="43.529163" y="-10.58"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,344.53,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 317.72,57.7 49.61,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,317.72,41.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="14.877166" y="-2.51"> −</t年代pan> <tspan style="font-size: 12.50px; " x="26.217386" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,350.71,40.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,355.55,44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.98" y="-10.58"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="102.94" y="-8.5699997"> (</t年代pan> <tspan style="font-size: 12.50px; " x="107.1035" y="-8.5699997"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="113.355" y="-8.5699997"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="116.48075" y="-8.5699997"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="122.73225" y="-8.5699997"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="128.98375" y="-8.5699997"> )</t年代pan> </text> </g> </g> </svg></span>现在通过的逆Sumudu变换(<一个href="#EEq2.14">2.24</一个>),我们有<年代pan class="equation" id="EEq2.15"> <svg height="18.549999" id="M80" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 18.549999" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.55)"> <g transform="translate(72,-57.16)"> <text transform="matrix(1,0,0,-1,77.1,60.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,86.1,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,99.06,60.93)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1599998" y="-0.029999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.26" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="16.01" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="20.173498" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.09992" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.900002" y="-0.029999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="49.927887" y="-0.029999999"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,157.85,57.84)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,162.72,60.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,168.29,65.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,173.02,63.78)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,176.65,65.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,184.74,60.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,204.93,57.84)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,209.81,60.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,215.37,65.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,220.11,63.78)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,223.73,65.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,231.82,60.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> ⋯</t年代pan> <tspan style="font-size: 12.50px; " x="27.781666" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="39.121887" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,279.8,57.84)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,284.65,60.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,290.21,65.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,294.94,63.78)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,298.55,65.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,307.33,60.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,324.94,65.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="6.2751842" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,336.52,60.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="121.97" y="-0.5"> (</t年代pan> <tspan style="font-size: 12.50px; " x="126.1335" y="-0.5"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="132.38499" y="-0.5"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="135.51074" y="-0.5"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="141.76225" y="-0.5"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="148.01375" y="-0.5"> )</t年代pan> </text> </g> </g> </svg></span>在下一个示例中,我们应用Sumudu反变换如下:<年代pan class="equation" id="EEq2.16"> <svg height="33.3125" id="M81" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 33.3125" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,33.3125)"> <g transform="translate(72,-45.35)"> <text transform="matrix(1,0,0,-1,162.54,56.25)"> <tspan style="font-size: 12.50px; " x="61.84" y="-7.25"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.615287" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.705208" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.344542" y="0"> =</t年代pan> </text> <g> <path d="m 205.13,59.37 44.76,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,205.13,45.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.7646027" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="20.117327" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,234.21,50.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,239.09,45.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,245.01,48.95)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,251.08,55.55)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="207.41" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="211.5735" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="217.825" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="220.95074" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="227.20226" y="0"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="233.45375" y="0"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vg height="10.675" id="M82" style="vertical-align:-0.10033pt;width:24.3125px;" version="1.1" viewbox="0 0 24.3125 10.675" width="24.3125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.675)"> <g transform="translate(72,-63.46)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.12815" y="0"> </t年代pan> </text> </g> </g> </svg>th方阵如上定义的顺序,<年代vg height="7.1624999" id="M83" style="vertical-align:-0.11285pt;width:7.5374999px;" version="1.1" viewbox="0 0 7.5374999 7.1624999" width="7.5374999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>Sumudu变换变量,然后呢<年代vg height="10.325" id="M84" style="vertical-align:-0.0pt;width:9.0375004px;" version="1.1" viewbox="0 0 9.0375004 10.325" width="9.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是<年代vg height="7.1374998" id="M85" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>阶单位矩阵;通过使用部分分式形式和Sumudu逆变换,我们有<年代pan class="equation" id="eq13"> <svg height="38.575001" id="M86" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.575001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,38.575)"> <g transform="translate(72,-41.14)"> <text transform="matrix(1,0,0,-1,-5.41,53.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,3.59,58.52)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,16.54,53.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="30.040001" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="4.1700001" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.785287" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="19.948786" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.875208" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.68" y="-0.039999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="49.707886" y="-0.039999999"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,75.26,58.52)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,88.21,46.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.26" y="-14.58"> 1</t年代pan> </text> <g> <path d="m 95.76,56.57 51.68,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,95.76,44.69)"> <tspan style="font-size: 12.50px; " x="52.869999" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.490497" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.267603" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="32.620327" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="41.584976" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="47.511398" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="62" y="-8.7600002"> +</t年代pan> <tspan style="font-size: 12.50px; " x="73.340218" y="-8.7600002"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,178.11,58.52)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,191.06,46.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.26" y="-14.58"> 1</t年代pan> </text> <g> <path d="m 198.61,56.57 51.67,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,198.61,44.69)"> <tspan style="font-size: 12.50px; " x="52.869999" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="62.689999" y="-8.7600002"> =</t年代pan> <tspan style="font-size: 12.50px; " x="75.93" y="-16.01"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.490497" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.267603" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="32.607822" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="41.572475" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="47.498898" y="0"> )</t年代pan> </text> <g> <path d="m 274.54,56.57 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,274.54,44.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="9.5299997" y="-6.2399998"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.38" y="-8.7600002"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,295.48,58.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="6.2751842" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,309.85,53.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,326.76,58.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="12.270304" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,344.34,50.93)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.3199997" y="-2.52"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.36039" y="-2.52"> c</t年代pan> <tspan style="font-size: 12.50px; " x="26.91172" y="-2.52"> o</t年代pan> <tspan style="font-size: 12.50px; " x="33.163219" y="-2.52"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="38.02689" y="-2.52"> h</t年代pan> <tspan style="font-size: 12.50px; " x="48.441887" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="52.605385" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="61.570038" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="68.446686" y="-2.52"> )</t年代pan> <tspan style="font-size: 12.50px; " x="74.698189" y="-2.52"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="114.14515" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="118.30865" y="-2.52"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="124.56015" y="-2.52"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="127.6859" y="-2.52"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="133.93741" y="-2.52"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="140.1889" y="-2.52"> )</t年代pan> </text> </g> </g> </svg></span>另一个例子,考虑的情况<年代vg height="13.45" id="M87" style="vertical-align:-2.21957pt;width:27.6px;" version="1.1" viewbox="0 0 27.6 13.45" width="27.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.7268538" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.890353" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.816774" y="0"> )</t年代pan> </text> </g> </g> </svg>是由<年代pan class="equation" id="EEq2.17"> <svg height="39.025002" id="M88" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 39.025002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,39.025)"> <g transform="translate(72,-40.78)"> <text transform="matrix(1,0,0,-1,137.74,56.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.615287" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.705208" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.344542" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="73.230003" y="-7.25"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="82.257164" y="-7.25"> +</t年代pan> <tspan style="font-size: 12.50px; " x="93.597389" y="-7.25"> </t年代pan> <tspan style="font-size: 12.50px; " x="100.37402" y="-7.25"> </t年代pan> </text> <g> <path d="m 180.32,59.37 94.37,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,180.32,42.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="4.79" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="8.9534988" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.730604" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="29.070826" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="35.84745" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="41.773872" y="-2.52"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,226.27,50.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,233.92,45.39)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,254.23,50.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,259.1,45.39)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,265.03,48.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,269.9,42.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9899998" y="-10.38"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="188.59" y="-10.38"> (</t年代pan> <tspan style="font-size: 12.50px; " x="192.75349" y="-10.38"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="199.005" y="-10.38"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="202.13075" y="-10.38"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="208.38225" y="-10.38"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="214.63374" y="-10.38"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vg height="7.1624999" id="M89" style="vertical-align:-0.11285pt;width:7.5374999px;" version="1.1" viewbox="0 0 7.5374999 7.1624999" width="7.5374999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>Sumudu变换变量,<年代vg height="10.325" id="M90" style="vertical-align:-0.0pt;width:9.0375004px;" version="1.1" viewbox="0 0 9.0375004 10.325" width="9.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是<年代vg height="7.1374998" id="M91" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>阶单位矩阵,<年代vg height="10.7375" id="M92" style="vertical-align:-0.13794pt;width:8.6000004px;" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.7375)"> <g transform="translate(72,-63.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是标量,<年代vg height="10.675" id="M93" style="vertical-align:-0.10033pt;width:24.3125px;" version="1.1" viewbox="0 0 24.3125 10.675" width="24.3125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.675)"> <g transform="translate(72,-63.46)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.12815" y="0"> </t年代pan> </text> </g> </g> </svg>th阶方阵,利用部分分数形式,我们有<年代pan class="equation" id="EEq2.18"> <svg height="38.575001" id="M94" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.575001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,38.575)"> <g transform="translate(72,-41.14)"> <text transform="matrix(1,0,0,-1,90.18,53.45)"> <tspan style="font-size: 12.50px; " x="42.580002" y="-7.25"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.615287" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.705208" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.344542" y="0"> =</t年代pan> </text> <g> <path d="m 132.76,56.57 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,132.76,44.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="9.5299997" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.279999" y="-16.01"> 1</t年代pan> </text> <g> <path d="m 149.84,56.57 74.65,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,149.84,44.7)"> <tspan style="font-size: 12.50px; " x="78.620003" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="124.44" y="-16"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.940605" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.280827" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="28.444324" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.184643" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="51.524864" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="58.301491" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="64.552986" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="70.479408" y="0"> )</t年代pan> </text> <g> <path d="m 241,56.57 72.82,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,241,44.7)"> <tspan style="font-size: 12.50px; " x="74.010002" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="22.442884" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="26.606384" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.346703" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="49.699425" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="56.476051" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="62.71505" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="68.641472" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="82.449997" y="-8.75"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="217.49001" y="-8.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="221.6535" y="-8.75"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="227.905" y="-8.75"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="231.03075" y="-8.75"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="237.28224" y="-8.75"> 9</t年代pan> <tspan style="font-size: 12.50px; " x="243.53375" y="-8.75"> )</t年代pan> </text> </g> </g> </svg></span>的逆Sumudu变换(<一个href="#EEq2.18">2.29</一个>)是<年代pan class="equation" id="eq14"> <svg height="68.025002" id="M95" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 68.025002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,68.025)"> <g transform="translate(72,-17.58)"> <text transform="matrix(1,0,0,-1,59.39,53.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,68.4,58.52)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,81.35,53.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="30.040001" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="4.1599998" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.775287" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="19.938786" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.865208" y="-0.039999999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.68" y="-0.039999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="49.707886" y="-0.039999999"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,140.07,58.52)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,153.02,46.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.5500002" y="-14.58"> 1</t年代pan> </text> <g> <path d="m 160.57,56.57 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,160.57,44.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="9.5299997" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.27" y="-16.01"> 1</t年代pan> </text> <g> <path d="m 177.65,56.57 74.65,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,177.65,44.7)"> <tspan style="font-size: 12.50px; " x="78.620003" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="125.36" y="-16"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.928102" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.280827" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="28.444324" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.184643" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="51.524864" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="58.301491" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="64.552986" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="70.479408" y="0"> )</t年代pan> </text> <g> <path d="m 268.81,56.57 74.65,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,268.81,44.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.940605" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="24.280827" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="28.444324" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.184643" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="51.524864" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="58.301491" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="64.552986" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="70.479408" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="75.839996" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="82.191521" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="-149.78" y="23.32"> =</t年代pan> <tspan style="font-size: 12.50px; " x="-137.75212" y="23.32"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,136.63,26.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,154.76,21.38)"> <tspan style="font-size: 12.50px; " x="0" y="0"> c</t年代pan> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="16.666498" y="0"> h</t年代pan> <tspan style="font-size: 12.50px; " x="27.081497" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="31.244997" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.209648" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="47.0863" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="53.337799" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="303.73001" y="-20.280001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="307.89349" y="-20.280001"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="314.14499" y="-20.280001"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="317.27075" y="-20.280001"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="323.52225" y="-20.280001"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="329.77374" y="-20.280001"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vg height="13.5625" id="M96" style="vertical-align:-2.21957pt;width:64.1875px;" version="1.1" viewbox="0 0 64.1875 13.5625" width="64.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.5625)"> <g transform="translate(72,-61.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> c</t年代pan> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="16.666498" y="0"> h</t年代pan> <tspan style="font-size: 12.50px; " x="27.081497" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="31.244997" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.209648" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="47.0863" y="0"> )</t年代pan> </text> </g> </g> </svg>是矩阵双曲<年代vg height="7.4749999" id="M97" style="vertical-align:-0.1254pt;width:26.1625px;" version="1.1" viewbox="0 0 26.1625 7.4749999" width="26.1625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.475)"> <g transform="translate(72,-66.02)"> <text transform="matrix(1,0,0,-1,-71.95,66.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> c</t年代pan> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> 年代</t年代pan> </text> </g> </g> </svg>的函数<年代vg height="10.55" id="M98" style="vertical-align:-0.0pt;width:11.325px;" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.55)"> <g transform="translate(72,-63.56)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。</gydF4y2Bap> <h5 id="sec2.2">2.2。状态空间方程</h5><gydF4y2Bap>每一个线性时不变集总系统由一组方程可以描述在以下形式:<年代pan class="equation" id="EEq2.19"> <svg height="42.924999" id="M99" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 42.924999" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,42.925)"> <g transform="translate(72,-37.66)"> <text transform="matrix(1,0,0,-1,146.99,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,155.43,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,160.99,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.703768" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="27.744158" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.708809" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="47.236336" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="51.399834" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="55.313271" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="62.252438" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="73.592659" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="82.294746" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="90.709267" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="94.872765" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="98.786201" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="105.0377" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-8.7299995" y="20.48"> </t年代pan> <tspan style="font-size: 12.50px; " x="-0.002906" y="20.48"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.160593" y="20.48"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0740318" y="20.48"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.713365" y="20.48"> =</t年代pan> <tspan style="font-size: 12.50px; " x="27.741251" y="20.48"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.130764" y="20.48"> </t年代pan> <tspan style="font-size: 12.50px; " x="46.658291" y="20.48"> (</t年代pan> <tspan style="font-size: 12.50px; " x="50.821789" y="20.48"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.735229" y="20.48"> )</t年代pan> <tspan style="font-size: 12.50px; " x="61.674393" y="20.48"> +</t年代pan> <tspan style="font-size: 12.50px; " x="73.027115" y="20.48"> </t年代pan> <tspan style="font-size: 12.50px; " x="82.904488" y="20.48"> </t年代pan> <tspan style="font-size: 12.50px; " x="91.306503" y="20.48"> (</t年代pan> <tspan style="font-size: 12.50px; " x="95.470001" y="20.48"> </t年代pan> <tspan style="font-size: 12.50px; " x="99.383438" y="20.48"> )</t年代pan> <tspan style="font-size: 12.50px; " x="105.63494" y="20.48"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="297.5" y="10.24"> (</t年代pan> <tspan style="font-size: 12.50px; " x="301.66351" y="10.24"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="307.91501" y="10.24"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="311.04074" y="10.24"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="317.29224" y="10.24"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="323.54376" y="10.24"> )</t年代pan> </text> </g> </g> </svg></span>然后系统<年代vg height="9.875" id="M100" style="vertical-align:-2.29482pt;width:7.7624998px;" version="1.1" viewbox="0 0 7.7624998 9.875" width="7.7624998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.875)"> <g transform="translate(72,-64.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>输入,<年代vg height="9.875" id="M101" style="vertical-align:-2.29482pt;width:7.9124999px;" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.875)"> <g transform="translate(72,-64.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>输出,<年代vg height="7.1374998" id="M102" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>状态变量,<年代vg height="12.75" id="M103" style="vertical-align:-1.76814pt;width:46.974998px;" version="1.1" viewbox="0 0 46.974998 12.75" width="46.974998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.75)"> <g transform="translate(72,-61.8)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.9646511" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="14.165899" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.867987" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="28.081738" y="0"> </t年代pan> </text> </g> </g> </svg>,<年代vg height="10.325" id="M104" style="vertical-align:-0.0pt;width:12.7px;" version="1.1" viewbox="0 0 12.7 10.325" width="12.7" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>分别是,<年代vg height="11.25" id="M105" style="vertical-align:-2.29482pt;width:120.2875px;" version="1.1" viewbox="0 0 120.2875 11.25" width="120.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.25)"> <g transform="translate(72,-63)"> <text transform="matrix(1,0,0,-1,-71.95,65.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="19.767242" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.981234" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="35.358482" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.348141" y="0"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="55.125729" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="61.239693" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="70.616943" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="79.131485" y="0"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="89.909073" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vg height="11.25" id="M106" style="vertical-align:-2.29482pt;width:31.875px;" version="1.1" viewbox="0 0 31.875 11.25" width="31.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.25)"> <g transform="translate(72,-63)"> <text transform="matrix(1,0,0,-1,-71.95,65.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5020399" y="0"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="19.279627" y="0"> </t年代pan> </text> </g> </g> </svg>常数矩阵。应用Sumudu变换(<一个href="#EEq2.19">2.31</一个>)的收益率<年代pan class="equation" id="eq15"> <svg height="57.674999" id="M107" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 57.674999" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,57.675)"> <g transform="translate(72,-25.86)"> <text transform="matrix(1,0,0,-1,110.12,51.33)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.9400001" y="-12.17"> 1</t年代pan> </text> <g> <path d="m 117.06,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,117.22,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="48.48" y="-16.01"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="7.2800002" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.895287" y="-8.7600002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="23.058786" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="28.985209" y="-8.7600002"> )</t年代pan> <tspan style="font-size: 12.50px; " x="35.936874" y="-8.7600002"> −</t年代pan> </text> <g> <path d="m 165.7,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,165.86,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.389999" y="-3.8399999"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.29" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.805023" y="-8.7600002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="21.968521" y="-8.7600002"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="28.220022" y="-8.7600002"> )</t年代pan> <tspan style="font-size: 12.50px; " x="41.599998" y="-8.7600002"> =</t年代pan> <tspan style="font-size: 12.50px; " x="53.627888" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="62.592537" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="74.220329" y="-8.7600002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="78.383827" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="84.310249" y="-8.7600002"> )</t年代pan> <tspan style="font-size: 12.50px; " x="91.249413" y="-8.7600002"> +</t年代pan> <tspan style="font-size: 12.50px; " x="102.58964" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="111.29173" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="123.38213" y="-8.7600002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="127.54562" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="133.47205" y="-8.7600002"> )</t年代pan> <tspan style="font-size: 12.50px; " x="139.72354" y="-8.7600002"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-21.99" y="17.83"> </t年代pan> <tspan style="font-size: 12.50px; " x="-10.48724" y="17.83"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-6.323741" y="17.83"> </t年代pan> <tspan style="font-size: 12.50px; " x="-0.39731899" y="17.83"> )</t年代pan> <tspan style="font-size: 12.50px; " x="7.2420139" y="17.83"> =</t年代pan> <tspan style="font-size: 12.50px; " x="19.282404" y="17.83"> </t年代pan> <tspan style="font-size: 12.50px; " x="27.671915" y="17.83"> </t年代pan> <tspan style="font-size: 12.50px; " x="39.299706" y="17.83"> (</t年代pan> <tspan style="font-size: 12.50px; " x="43.463203" y="17.83"> </t年代pan> <tspan style="font-size: 12.50px; " x="49.389626" y="17.83"> )</t年代pan> <tspan style="font-size: 12.50px; " x="56.328793" y="17.83"> +</t年代pan> <tspan style="font-size: 12.50px; " x="67.669014" y="17.83"> </t年代pan> <tspan style="font-size: 12.50px; " x="77.546387" y="17.83"> </t年代pan> <tspan style="font-size: 12.50px; " x="89.636787" y="17.83"> (</t年代pan> <tspan style="font-size: 12.50px; " x="93.800285" y="17.83"> </t年代pan> <tspan style="font-size: 12.50px; " x="99.726707" y="17.83"> )</t年代pan> <tspan style="font-size: 12.50px; " x="105.9657" y="17.83"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="292.63" y="1.6799999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="296.79349" y="1.6799999"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="303.04501" y="1.6799999"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="306.17075" y="1.6799999"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="312.42224" y="1.6799999"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="318.67374" y="1.6799999"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代pan class="equation" id="eq16"> <svg height="132.83749" id="M108" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 132.83749" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,132.8375)"> <g transform="translate(72,34.27)"> <text transform="matrix(1,0,0,-1,87.86,54.16)"> <tspan style="font-size: 12.50px; " x="46.400002" y="7.6999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.1269503" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.641973" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="22.805471" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.71891" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="34.358246" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,141.26,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,151.95,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,157.51,59.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="8.7344961" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="11.167552" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,173.33,54.16)"> <tspan style="font-size: 12.50px; " x="-39.07" y="46.07"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.678522" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.555172" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="27.806671" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.458267" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.798248" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="56.838638" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="68.466431" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="72.629929" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="78.556351" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="84.807846" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="106.6881" y="0"> R</t年代pan> <tspan style="font-size: 12.50px; " x="115.0276" y="0"> e</t年代pan> <tspan style="font-size: 12.50px; " x="124.74243" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="134.14468" y="0"> ></t年代pan> <tspan style="font-size: 12.50px; " x="146.17258" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="152.42407" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-83.360001" y="38.380001"> </t年代pan> <tspan style="font-size: 12.50px; " x="-75.233047" y="38.380001"> </t年代pan> <tspan style="font-size: 12.50px; " x="-66.831032" y="38.380001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-62.667534" y="38.380001"> </t年代pan> <tspan style="font-size: 12.50px; " x="-58.754097" y="38.380001"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-51.114761" y="38.380001"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,141.26,29.81)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,151.95,15.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,157.51,20.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="8.7344961" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="11.167552" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,173.33,15.78)"> <tspan style="font-size: 12.50px; " x="-39.07" y="46.07"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.4020157" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.565515" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="16.478954" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="22.730453" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.38205" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="39.722031" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="51.762421" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="63.852821" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="68.016319" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="73.942741" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="80.194244" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-83.68" y="38.380001"> </t年代pan> <tspan style="font-size: 12.50px; " x="-75.553047" y="38.380001"> </t年代pan> <tspan style="font-size: 12.50px; " x="-66.825958" y="38.380001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-62.662457" y="38.380001"> </t年代pan> <tspan style="font-size: 12.50px; " x="-58.74902" y="38.380001"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-51.109684" y="38.380001"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,141.26,-8.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,151.95,-22.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,157.51,-17.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="8.7344961" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="11.167552" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,173.33,-22.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.7270937" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.890593" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="16.804031" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="23.055532" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.707129" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.047108" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="52.087498" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="63.60276" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="67.766258" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="73.69268" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="79.944183" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="285.16" y="-38.34"> (</t年代pan> <tspan style="font-size: 12.50px; " x="289.32349" y="-38.34"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="295.57501" y="-38.34"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="298.70074" y="-38.34"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="304.95224" y="-38.34"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="311.20374" y="-38.34"> )</t年代pan> </text> </g> </g> </svg></span>因此<年代pan class="equation" id="EEq2.20"> <svg height="34.837502" id="M109" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 34.837502" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,34.8375)"> <g transform="translate(72,-44.13)"> <text transform="matrix(1,0,0,-1,133.33,55.14)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.615287" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.705208" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.344542" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="51.700001" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="62.215023" y="-8.3500004"> (</t年代pan> <tspan style="font-size: 12.50px; " x="66.378525" y="-8.3500004"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="72.63002" y="-8.3500004"> )</t年代pan> </text> <g> <path d="m 175.91,58.27 43.34,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,175.91,46.39)"> <tspan style="font-size: 12.50px; " x="47.310001" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.940605" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.280827" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.245476" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="39.171898" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="61.040001" y="-16.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="69.742088" y="-16.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="75.66851" y="-16.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="87.746407" y="-16.969999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="91.909904" y="-16.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="97.836327" y="-16.969999"> )</t年代pan> </text> <g> <path d="m 235.76,58.27 43.34,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,235.76,46.39)"> <tspan style="font-size: 12.50px; " x="44.540001" y="-8.75"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.940605" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.280827" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.245476" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="39.171898" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="222.73" y="-8.5500002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="226.89349" y="-8.5500002"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="233.145" y="-8.5500002"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="236.27075" y="-8.5500002"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="242.52225" y="-8.5500002"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="248.77374" y="-8.5500002"> )</t年代pan> </text> </g> </g> </svg></span>因此<年代pan class="equation" id="EEq2.21"> <svg height="34.837502" id="M110" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 34.837502" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,34.8375)"> <g transform="translate(72,-44.13)"> <text transform="matrix(1,0,0,-1,104.16,55.14)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.50276" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.666259" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.592682" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.232014" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="47.400002" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="55.789513" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="66.304535" y="-8.3500004"> (</t年代pan> <tspan style="font-size: 12.50px; " x="70.468033" y="-8.3500004"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="76.719536" y="-8.3500004"> )</t年代pan> </text> <g> <path d="m 146.63,58.27 43.34,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,146.63,46.39)"> <tspan style="font-size: 12.50px; " x="47.32" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.940605" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.280827" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.245476" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="39.171898" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="59.860001" y="-16.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="68.249512" y="-16.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="76.951599" y="-16.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="82.878021" y="-16.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="94.955917" y="-16.969999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="99.119423" y="-16.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="105.04585" y="-16.969999"> )</t年代pan> </text> <g> <path d="m 206.49,58.27 49.36,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,209.5,46.39)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.928102" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.280827" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.245476" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="39.171898" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="50.32" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="61.660221" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="71.53759" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="83.615486" y="-8.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="87.778992" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="93.705406" y="-8.75"> )</t年代pan> <tspan style="font-size: 12.50px; " x="99.956909" y="-8.75"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="248.99001" y="-8.5500002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="253.1535" y="-8.5500002"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="259.405" y="-8.5500002"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="262.53076" y="-8.5500002"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="268.78226" y="-8.5500002"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="275.03375" y="-8.5500002"> )</t年代pan> </text> </g> </g> </svg></span>在使用Sumudu逆变换(<一个href="#EEq2.20">2.34</一个>)和(<一个href="#EEq2.21">2.35</一个>)和上面的定理,我们得到<年代vg height="13.6125" id="M111" style="vertical-align:-2.34499pt;width:24.1px;" version="1.1" viewbox="0 0 24.1 13.6125" width="24.1" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> )</t年代pan> </text> </g> </g> </svg>和<年代vg height="13.6125" id="M112" style="vertical-align:-2.34499pt;width:23.112499px;" version="1.1" viewbox="0 0 23.112499 13.6125" width="23.112499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.228414" y="0"> )</t年代pan> </text> </g> </g> </svg>如下:<年代pan class="equation" id="eq17"> <svg height="87.862503" id="M113" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 87.862503" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,87.8625)"> <g transform="translate(72,-1.71)"> <text transform="matrix(1,0,0,-1,83.9,52.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.678522" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.591961" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="26.231295" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="38.271683" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="48.786705" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="52.950207" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="59.201706" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="65.453201" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,154.92,57.96)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="6.2751842" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,167.22,52.96)"> <tspan style="font-size: 12.50px; " x="22.120001" y="7.6999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,196.35,66.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,202.05,52.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,207.62,57.96)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="5.6537919" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="11.648912" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="16.322479" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,227.36,52.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.4020157" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.565515" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.25462" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="25.506121" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.157715" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.846821" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-141.67" y="39.580002"> </t年代pan> <tspan style="font-size: 12.50px; " x="-132.9429" y="39.580002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-128.7794" y="39.580002"> </t年代pan> <tspan style="font-size: 12.50px; " x="-124.86597" y="39.580002"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-117.22664" y="39.580002"> =</t年代pan> <tspan style="font-size: 12.50px; " x="-105.18625" y="39.580002"> </t年代pan> <tspan style="font-size: 12.50px; " x="-96.79673" y="39.580002"> </t年代pan> <tspan style="font-size: 12.50px; " x="-86.281708" y="39.580002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-82.11821" y="39.580002"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="-75.866714" y="39.580002"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-69.615211" y="39.580002"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,163.31,18.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="6.2751842" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,175.6,13.38)"> <tspan style="font-size: 12.50px; " x="30.52" y="7.6900001"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.042309" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,213.13,27.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-1.26" y="25.52"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,218.83,13.38)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,224.4,18.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="5.6537919" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="11.648912" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="16.322479" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,244.14,13.38)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.4020157" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.565515" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.25462" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="25.506121" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.157715" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="41.622486" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="52.962708" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="62.840076" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="71.254601" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="75.418098" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="79.331535" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="85.583038" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="214.35001" y="-20.35"> (</t年代pan> <tspan style="font-size: 12.50px; " x="218.5135" y="-20.35"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="224.765" y="-20.35"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="227.89075" y="-20.35"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="234.14224" y="-20.35"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="240.39375" y="-20.35"> )</t年代pan> </text> </g> </g> </svg></span>现在让我们Sumudu变换应用于矩阵微分方程如下考虑线性保守系统的振动<年代pan class="equation" id="EEq2.22"> <svg height="17.3375" id="M114" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 17.3375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.3375)"> <g transform="translate(72,-58.13)"> <text transform="matrix(1,0,0,-1,157.98,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.565515" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,178.99,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,188.21,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.954548" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.369547" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="41.409935" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.137032" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="54.300529" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="61.177177" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="67.42868" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="270.28" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="274.44351" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="280.69501" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="283.82074" y="0"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="290.07224" y="0"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="296.32376" y="0"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vg height="10.325" id="M115" style="vertical-align:-0.0pt;width:17.237499px;" version="1.1" viewbox="0 0 17.237499 10.325" width="17.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是一个对称矩阵的顺序<年代vg height="7.1374998" id="M116" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>称为惯性矩阵;<年代vg height="13.4875" id="M117" style="vertical-align:-2.34499pt;width:10.675px;" version="1.1" viewbox="0 0 10.675 13.4875" width="10.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.4875)"> <g transform="translate(72,-61.21)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是一个<年代vg height="7.1374998" id="M118" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>阶矩阵的元素<年代vg height="7.1374998" id="M119" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>系统的广义坐标;<年代vg height="9.6750002" id="M120" style="vertical-align:-2.29482pt;width:9.6374998px;" version="1.1" viewbox="0 0 9.6374998 9.6750002" width="9.6374998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.675)"> <g transform="translate(72,-64.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是一个<年代vg height="7.1374998" id="M121" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>阶对称矩阵称为刚度矩阵;<年代vg height="13.6125" id="M122" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</t年代pan> </text> </g> </g> </svg>是一个<年代vg height="7.1374998" id="M123" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>阶矩阵的列<年代vg height="7.1374998" id="M124" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>系统上的广义力。如果我们用(<一个href="#EEq2.22">2.37</一个>)<gydF4y2Ba年代vg height="13.775" id="M125" style="vertical-align:-0.0pt;width:30.825001px;" version="1.1" viewbox="0 0 30.825001 13.775" width="30.825001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.775)"> <g transform="translate(72,-60.98)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-58.26,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> </g> </g> </svg>惯性矩阵的逆<年代vg height="10.325" id="M126" style="vertical-align:-0.0pt;width:17.237499px;" version="1.1" viewbox="0 0 17.237499 10.325" width="17.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,那么我们就有<年代pan class="equation" id="EEq2.23"> <svg height="18.4625" id="M127" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 18.4625" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.4625)"> <g transform="translate(72,-57.23)"> <text transform="matrix(1,0,0,-1,139.7,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,148.14,66.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,157.37,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,182.4,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,193.27,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.614327" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.029325" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="30.057213" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,237.03,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,247.9,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.7270937" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.890593" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.767242" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="26.018744" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="210.59" y="-0.46000001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="214.75349" y="-0.46000001"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="221.005" y="-0.46000001"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="224.13075" y="-0.46000001"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="230.38225" y="-0.46000001"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="236.63374" y="-0.46000001"> )</t年代pan> </text> </g> </g> </svg></span>让下面的符号介绍:<年代pan class="equation" id="EEq2.24"> <svg height="18.525" id="M128" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 18.525" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.525)"> <g transform="translate(72,-57.18)"> <text transform="matrix(1,0,0,-1,104.75,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,118.44,65.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,129.31,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.077658" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="23.118048" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.783108" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="45.823494" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,184.1,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,188.98,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="25.118526" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,227.8,65.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,238.67,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.7270937" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.890593" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.767242" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="27.406576" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="39.446964" y="0"> ℎ</t年代pan> <tspan style="font-size: 12.50px; " x="48.736694" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="52.900192" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="59.776844" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="66.028343" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="219.82001" y="-0.47999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="223.98351" y="-0.47999999"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="230.235" y="-0.47999999"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="233.36075" y="-0.47999999"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="239.61224" y="-0.47999999"> 9</t年代pan> <tspan style="font-size: 12.50px; " x="245.86375" y="-0.47999999"> )</t年代pan> </text> </g> </g> </svg></span>与上面的符号(<一个href="#EEq2.24">2.39</一个>)的形式写的<年代pan class="equation" id="EEq2.25"> <svg height="18.525" id="M129" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 18.525" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.525)"> <g transform="translate(72,-57.18)"> <text transform="matrix(1,0,0,-1,160.87,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,169.31,66.05)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,178.54,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,198.85,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,203.72,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.402496" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="22.442884" y="0"> ℎ</t年代pan> <tspan style="font-size: 12.50px; " x="31.745117" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="35.908615" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="42.785267" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="49.024261" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="254.77" y="-0.47999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="258.9335" y="-0.47999999"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="265.185" y="-0.47999999"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="268.31076" y="-0.47999999"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="274.56226" y="-0.47999999"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="280.81375" y="-0.47999999"> )</t年代pan> </text> </g> </g> </svg></span>让Sumudu变换<年代pan class="equation" id="EEq2.26"> <svg height="34.625" id="M130" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 34.625" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,34.625)"> <g transform="translate(72,-44.3)"> <text transform="matrix(1,0,0,-1,0.77,53.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.08" y="0.029999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="40.970001" y="0.029999999"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="124.83" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="129.62" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.25" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.765022" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="29.928522" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.805172" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="48.610001" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="60.637886" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.265678" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="76.429176" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="82.355598" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="88.607094" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="113.73813" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,138.83,58.65)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,147.36,53.59)"> <tspan style="font-size: 12.50px; " x="15.21" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.469999" y="0.0099999998"> =</t年代pan> <tspan style="font-size: 12.50px; " x="36.700001" y="-8.21"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="48.32" y="-8.2200003"> (</t年代pan> <tspan style="font-size: 12.50px; " x="52.483498" y="-8.2200003"> </t年代pan> <tspan style="font-size: 12.50px; " x="58.40992" y="-8.2200003"> )</t年代pan> </text> <g> <path d="m 184.06,56.71 25.88,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,191.6,44.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,197.53,47.9)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,213.91,53.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="12.54" y="-8.3599997"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.055023" y="-8.3599997"> (</t年代pan> <tspan style="font-size: 12.50px; " x="27.218521" y="-8.3599997"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="33.47002" y="-8.3599997"> )</t年代pan> </text> <g> <path d="m 226.45,56.71 25.1,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,233.6,44.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,239.53,47.9)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,255.53,53.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="12.53" y="-8.3599997"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,276.5,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,282.06,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> </text> <g> <path d="m 268.06,56.71 28.58,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,279.39,44.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.669998" y="-8.7200003"> (</t年代pan> <tspan style="font-size: 12.50px; " x="83.330002" y="-8.7200003"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="18.450001" y="-8.75"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="43.581032" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="58.830002" y="-8.75"> ℎ</t年代pan> <tspan style="font-size: 12.50px; " x="68.119728" y="-8.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="72.283226" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="79.159882" y="-8.75"> )</t年代pan> <tspan style="font-size: 12.50px; " x="90.970001" y="-8.75"> =</t年代pan> <tspan style="font-size: 12.50px; " x="102.99789" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="117.12627" y="-8.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="121.28977" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="127.21619" y="-8.75"> )</t年代pan> <tspan style="font-size: 12.50px; " x="133.4677" y="-8.75"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="179.10001" y="-10.2"> (</t年代pan> <tspan style="font-size: 12.50px; " x="183.2635" y="-10.2"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="189.515" y="-10.2"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="192.64075" y="-10.2"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="198.89224" y="-10.2"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="205.14375" y="-10.2"> )</t年代pan> </text> </g> </g> </svg></span>矩阵<年代vg height="13.6125" id="M131" style="vertical-align:-2.34499pt;width:27.025px;" version="1.1" viewbox="0 0 27.025 13.6125" width="27.025" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="17.354164" y="0"> )</t年代pan> </text> </g> </g> </svg>是一个<年代vg height="7.1374998" id="M132" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>阶列矩阵的元素是广义坐标的初始值;<年代vg height="15.5625" id="M133" style="vertical-align:-2.34499pt;width:33.237499px;" version="1.1" viewbox="0 0 33.237499 15.5625" width="33.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.5625)"> <g transform="translate(72,-59.55)"> <text transform="matrix(1,0,0,-1,-71.95,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-63.51,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-60.04,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> </text> </g> </g> </svg>是一个<年代vg height="7.1374998" id="M134" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>阶列矩阵,其元素的初始值是广义系统的速度。的Sumudu变换(<一个href="#EEq2.25">2.40</一个>)是由<年代pan class="equation" id="EEq2.27"> <svg height="34.625" id="M135" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 34.625" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,34.625)"> <g transform="translate(72,-44.3)"> <text transform="matrix(1,0,0,-1,101.66,61.8)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.62" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.783499" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.709921" y="-0.0099999998"> )</t年代pan> </text> <g> <path d="m 101.66,56.71 25.88,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,109.2,44.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,115.12,47.9)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,131.51,53.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,151.82,58.64)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,156.69,53.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.615287" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.705208" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.344542" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="41.38493" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="55.513321" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="59.676819" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="65.603241" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="72.542404" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="85.089996" y="-8.3599997"> </t年代pan> <tspan style="font-size: 12.50px; " x="95.605026" y="-8.3599997"> (</t年代pan> <tspan style="font-size: 12.50px; " x="99.768524" y="-8.3599997"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="106.02002" y="-8.3599997"> )</t年代pan> </text> <g> <path d="m 241.78,56.71 25.1,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,248.93,44.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,254.85,47.9)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,270.85,53.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="12.54" y="-8.3599997"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,291.83,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,297.39,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> </text> <g> <path d="m 283.39,56.71 28.58,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,294.72,44.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.440001" y="-10.2"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="163.77" y="-10.2"> (</t年代pan> <tspan style="font-size: 12.50px; " x="167.9335" y="-10.2"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="174.185" y="-10.2"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="177.31075" y="-10.2"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="183.56226" y="-10.2"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="189.81375" y="-10.2"> )</t年代pan> </text> </g> </g> </svg></span>方程(<一个href="#EEq2.27">2.42</一个>)可以书面的形式<年代pan class="equation" id="EEq2.28"> <svg height="38.875" id="M136" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,38.875)"> <g transform="translate(72,-40.9)"> <text transform="matrix(1,0,0,-1,87.35,56.25)"> <tspan style="font-size: 12.50px; " x="67.690002" y="-7.25"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.615287" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.705208" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.344542" y="0"> =</t年代pan> </text> <g> <path d="m 129.93,59.37 56.47,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,129.93,43)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.627106" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.967327" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,164.87,50.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,169.74,45.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,175.67,48.95)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,180.54,43)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.1400003" y="-10.73"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.92" y="-13.25"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,200.39,61.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,205.26,56.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.12839" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="18.291889" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.218311" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="31.157476" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="42.497696" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="53.025223" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="57.188721" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="63.440224" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="70.379387" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="81.719604" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="87.646027" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,301.35,61.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,306.91,56.25)"> <tspan style="font-size: 12.50px; " x="14.58" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="19.370001" y="2.9300001"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="151.58" y="2.9300001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="155.7435" y="2.9300001"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="161.995" y="2.9300001"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="165.12074" y="2.9300001"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="171.37225" y="2.9300001"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="177.62375" y="2.9300001"> )</t年代pan> </text> </g> </g> </svg></span>通过使用Sumudu反变换和卷积(<一个href="#EEq2.28">2.43</一个>),我们有<年代pan class="equation" id="eq18"> <svg height="38.387501" id="M137" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.387501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,38.3875)"> <g transform="translate(72,-41.29)"> <text transform="matrix(1,0,0,-1,26.61,52.96)"> <tspan style="font-size: 12.50px; " x="130.10001" y="-7.25"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.678522" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.555172" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="41.234894" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.749916" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="55.913418" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="62.164917" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="68.416412" y="0"> c</t年代pan> <tspan style="font-size: 12.50px; " x="73.967751" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="80.219246" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="89.246414" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="93.409912" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="102.37457" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="109.25121" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="116.20288" y="0"> +</t年代pan> </text> <g> <path d="m 155.35,56.09 8.97,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,155.35,44.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.16" y="-8.75"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,173.95,58.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,179.51,52.97)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="76.260002" y="-7.2399998"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="4.1599998" y="0.0099999998"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.4115" y="0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="16.663" y="0.0099999998"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="21.526667" y="0.0099999998"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="25.002501" y="0.0099999998"> n</t年代pan> <tspan style="font-size: 12.50px; " x="35.4175" y="0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="39.580997" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="48.54565" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="55.422298" y="0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="62.361465" y="0.0099999998"> +</t年代pan> </text> <g> <path d="m 254.42,56.09 8.96,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,254.42,44.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.24" y="-1.05"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,273.66,66.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,279.37,52.96)"> <tspan style="font-size: 12.50px; " x="18.76" y="0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="67.209999" y="0.039999999"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="22.92" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.960148" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="38.12365" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="47.788467" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="59.128689" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="63.042126" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="73.459999" y="0"> ℎ</t年代pan> <tspan style="font-size: 12.50px; " x="82.749725" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="86.913231" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="90.826668" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="97.078171" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="103.72976" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="107.6432" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="179.12" y="-0.56"> (</t年代pan> <tspan style="font-size: 12.50px; " x="183.28349" y="-0.56"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="189.535" y="-0.56"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="192.66075" y="-0.56"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="198.91225" y="-0.56"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="205.16374" y="-0.56"> )</t年代pan> </text> </g> </g> </svg></span></p> <h5 id="sec2.3">2.3。系统的自由振动</h5><gydF4y2Bap>如果<年代vg height="13.5625" id="M138" style="vertical-align:-2.21957pt;width:55.349998px;" version="1.1" viewbox="0 0 55.349998 13.5625" width="55.349998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.5625)"> <g transform="translate(72,-61.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ℎ</t年代pan> <tspan style="font-size: 12.50px; " x="7.214231" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.37773" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.254379" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="25.88121" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="37.9216" y="0"> 0</t年代pan> </text> </g> </g> </svg>,我们有保守的自由振荡系统。自<年代vg height="16.700001" id="M139" style="vertical-align:-2.29482pt;width:105.4px;" version="1.1" viewbox="0 0 105.4 16.700001" width="105.4" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.7)"> <g transform="translate(72,-58.64)"> <text transform="matrix(1,0,0,-1,-71.95,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-58.26,65.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,-47.39,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.077658" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="23.118048" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.783108" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="45.823494" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,7.4,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> </g> </g> </svg>,然后(<一个href="#EEq2.28">2.43</一个>)可以写成<年代pan class="equation" id="EEq2.29"> <svg height="22.775" id="M140" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 22.775" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,22.775)"> <g transform="translate(72,-53.78)"> <text transform="matrix(1,0,0,-1,112.04,58.4)"> <tspan style="font-size: 12.50px; " x="41.389999" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.615287" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.705208" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.344542" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="47.240002" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="56.017105" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="67.35733" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="74.546555" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,192.52,63.4)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,197.39,55.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,203.24,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,216.2,55.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="4.79" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.305023" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="19.468521" y="-2.52"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="25.720022" y="-2.52"> )</t年代pan> <tspan style="font-size: 12.50px; " x="32.659187" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="43.999409" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="49.925831" y="-2.52"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,274.58,63.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,280.13,58.4)"> <tspan style="font-size: 12.50px; " x="14.58" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.459999" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="178.36" y="-1.37"> (</t年代pan> <tspan style="font-size: 12.50px; " x="182.5235" y="-1.37"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="188.77499" y="-1.37"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="191.90074" y="-1.37"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="198.15225" y="-1.37"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="204.40375" y="-1.37"> )</t年代pan> </text> </g> </g> </svg></span>的代表<年代vg height="13.45" id="M141" style="vertical-align:-2.21957pt;width:27.6px;" version="1.1" viewbox="0 0 27.6 13.45" width="27.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.7268538" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.890353" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.816774" y="0"> )</t年代pan> </text> </g> </g> </svg>可以得到吗<年代pan class="equation" id="EEq2.30"> <svg height="22.775" id="M142" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 22.775" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,22.775)"> <g transform="translate(72,-53.78)"> <text transform="matrix(1,0,0,-1,153.74,58.4)"> <tspan style="font-size: 12.50px; " x="45.459999" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.615287" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.781185" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="33.420521" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="51.310001" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="60.087105" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="71.42733" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="78.616554" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,238.29,63.4)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,243.17,55.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,249.02,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,259.89,58.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="198.60001" y="-1.37"> (</t年代pan> <tspan style="font-size: 12.50px; " x="202.7635" y="-1.37"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="209.015" y="-1.37"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="212.14075" y="-1.37"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="218.39224" y="-1.37"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="224.64375" y="-1.37"> )</t年代pan> </text> </g> </g> </svg></span>为<年代vg height="13.45" id="M143" style="vertical-align:-2.21957pt;width:29.174999px;" version="1.1" viewbox="0 0 29.174999 13.45" width="29.174999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.7268538" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.890353" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.079578" y="0"> )</t年代pan> </text> </g> </g> </svg>西尔维斯特定理(<一个href="#EEq2.10">2.20</一个>),我们有<年代pan class="equation" id="EEq2.31"> <svg height="48.1875" id="M144" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.1875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,48.1875)"> <g transform="translate(72,-33.45)"> <text transform="matrix(1,0,0,-1,-31.3,49.6)"> <tspan style="font-size: 12.50px; " x="41.610001" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.840341" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="16.003839" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.930262" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.569595" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="47.459999" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="56.237106" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="67.577324" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="74.341454" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,48.98,54.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,53.85,47.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,59.7,57.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,74.05,49.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.03" y="9.7299995"> </t年代pan> <tspan style="font-size: 12.50px; " x="41.889999" y="-9.1400003"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,124.79,55.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <g> <path d="m 95.54,52.73 54.52,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,95.54,36.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8600001" y="-2.51"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="14.874663" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="26.227386" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,128.53,35.9)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,133.41,39.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,139.33,42.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,144.21,36.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.8199997" y="-13.09"> +</t年代pan> <tspan style="font-size: 12.50px; " x="42.759998" y="-22.23"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,195.82,55.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 166.57,52.73 54.52,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,166.57,36.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="14.877166" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="26.217386" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,199.56,35.9)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,204.43,39.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,210.36,42.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,215.24,36.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="70.540001" y="-22.299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.8199997" y="-13.09"> +</t年代pan> <tspan style="font-size: 12.50px; " x="21.160221" y="-13.09"> ⋯</t年代pan> <tspan style="font-size: 12.50px; " x="37.601665" y="-13.09"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,294.63,55.68)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 265.38,52.73 54.49,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,265.38,36.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="14.877166" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="26.217386" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,298.37,35.9)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,303.22,39.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,309.15,42.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,314.02,36.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.0500002" y="-3.3599999"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.4" y="-10.58"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.18" y="-13.09"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.695023" y="-13.09"> (</t年代pan> <tspan style="font-size: 12.50px; " x="36.858521" y="-13.09"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="43.110023" y="-13.09"> )</t年代pan> <tspan style="font-size: 12.50px; " x="50.061691" y="-13.09"> +</t年代pan> <tspan style="font-size: 12.50px; " x="61.401913" y="-13.09"> </t年代pan> <tspan style="font-size: 12.50px; " x="67.328331" y="-13.09"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,389.79,54.67)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,395.35,49.61)"> <tspan style="font-size: 12.50px; " x="14.58" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="19.370001" y="0.0099999998"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="63.139999" y="0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="67.303497" y="0.0099999998"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="73.555" y="0.0099999998"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="76.680748" y="0.0099999998"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="82.932251" y="0.0099999998"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="89.183746" y="0.0099999998"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vg height="14.3625" id="M145" style="vertical-align:-3.2316pt;width:17.737499px;" version="1.1" viewbox="0 0 17.737499 14.3625" width="17.737499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.3625)"> <g transform="translate(72,-60.51)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-63.1,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是<年代vg height="10.7375" id="M146" style="vertical-align:-0.13794pt;width:8.6000004px;" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.7375)"> <g transform="translate(72,-63.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>西尔维斯特的矩阵<年代vg height="10.575" id="M147" style="vertical-align:-0.20064pt;width:12.625px;" version="1.1" viewbox="0 0 12.625 10.575" width="12.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.575)"> <g transform="translate(72,-63.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vg height="14.5875" id="M148" style="vertical-align:-3.2316pt;width:15.1375px;" version="1.1" viewbox="0 0 15.1375 14.5875" width="15.1375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5875)"> <g transform="translate(72,-60.33)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.19,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>的特征值<年代vg height="10.575" id="M149" style="vertical-align:-0.20064pt;width:12.625px;" version="1.1" viewbox="0 0 12.625 10.575" width="12.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.575)"> <g transform="translate(72,-63.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。如果我们让<年代pan class="equation" id="eq19"> <svg height="19.075001" id="M150" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.075001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.075)"> <g transform="translate(72,-56.74)"> <text transform="matrix(1,0,0,-1,138.34,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,145.11,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,153.82,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,172.19,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.1400003"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,177.43,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="15.166139" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.418598" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="37.446484" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="43.697987" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="48.911736" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="55.163235" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="60.376987" y="0"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="66.628487" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="71.829735" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="86.420738" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="91.634483" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="97.84848" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="281.06" y="-0.20999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="285.22351" y="-0.20999999"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="291.47501" y="-0.20999999"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="294.60074" y="-0.20999999"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="300.85223" y="-0.20999999"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="307.10376" y="-0.20999999"> )</t年代pan> </text> </g> </g> </svg></span>然后(<一个href="#EEq2.31">2.47</一个>)的形式<年代pan class="equation" id="EEq2.32"> <svg height="48.1875" id="M151" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.1875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,48.1875)"> <g transform="translate(72,-33.45)"> <text transform="matrix(1,0,0,-1,21.29,49.6)"> <tspan style="font-size: 12.50px; " x="41.610001" y="9.7299995"> </t年代pan> <tspan style="font-size: 12.50px; " x="71.25" y="-9.1400003"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.840341" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="16.003839" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.930262" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.569595" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,101.39,55.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <g> <path d="m 72.36,52.73 54.08,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,72.36,36.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="14.877166" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="26.217386" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,104.91,43.52)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,109.79,39.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,115.72,42.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,120.59,36.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.8199997" y="-13.09"> +</t年代pan> <tspan style="font-size: 12.50px; " x="42.540001" y="-22.23"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,171.98,55.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 142.95,52.73 54.08,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,142.95,36.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="14.877166" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="26.217386" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,175.5,43.52)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,180.38,39.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,186.31,42.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,191.18,36.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="70.339996" y="-22.299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.8199997" y="-13.09"> +</t年代pan> <tspan style="font-size: 12.50px; " x="21.160221" y="-13.09"> ⋯</t年代pan> <tspan style="font-size: 12.50px; " x="37.601665" y="-13.09"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,270.37,55.68)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 241.33,52.73 54.07,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,241.33,36.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="14.877166" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="26.217386" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,273.88,43.52)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="7.1599998"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,278.75,39.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,284.68,42.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,289.55,36.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.0500002" y="-3.3599999"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.4" y="-10.58"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.190001" y="-13.09"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.705025" y="-13.09"> (</t年代pan> <tspan style="font-size: 12.50px; " x="36.868523" y="-13.09"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="43.120022" y="-13.09"> )</t年代pan> <tspan style="font-size: 12.50px; " x="50.059189" y="-13.09"> +</t年代pan> <tspan style="font-size: 12.50px; " x="61.399406" y="-13.09"> </t年代pan> <tspan style="font-size: 12.50px; " x="67.325829" y="-13.09"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,365.33,54.67)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,370.88,49.61)"> <tspan style="font-size: 12.50px; " x="14.58" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="21.459999" y="0.0099999998"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="87.610001" y="0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="91.773499" y="0.0099999998"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="98.025002" y="0.0099999998"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="101.15075" y="0.0099999998"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="107.40225" y="0.0099999998"> 9</t年代pan> <tspan style="font-size: 12.50px; " x="113.65375" y="0.0099999998"> )</t年代pan> </text> </g> </g> </svg></span>如果我们把每一项的逆Sumudu变换(<一个href="#EEq2.32">2.49</一个>),我们得到<年代pan class="equation" id="eq20"> <svg height="108.225" id="M152" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 108.225" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,108.225)"> <g transform="translate(72,14.58)"> <text transform="matrix(1,0,0,-1,31.78,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="41.240002" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="46.02" y="7.1054274e-015"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.52" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.683499" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.560148" y="-0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.186979" y="-0.0099999998"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,86.66,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,93.61,61.13)"> <tspan style="font-size: 12.50px; " x="20.84" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.690001" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> c</t年代pan> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> 年代</t年代pan> </text> <text transform="matrix(1,0,0,-1,126.63,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,131.5,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.8800001" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.51" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="26.850222" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,167.2,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,174.16,61.13)"> <tspan style="font-size: 12.50px; " x="20.84" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.690001" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> c</t年代pan> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> 年代</t年代pan> </text> <text transform="matrix(1,0,0,-1,207.17,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,212.05,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.8699999" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.5" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="26.840221" y="0"> ⋯</t年代pan> <tspan style="font-size: 12.50px; " x="43.281666" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="54.621887" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,275.53,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,282.46,61.13)"> <tspan style="font-size: 12.50px; " x="20.84" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.690001" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> c</t年代pan> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> 年代</t年代pan> </text> <text transform="matrix(1,0,0,-1,315.48,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,320.33,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.6" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="-250.08" y="35.869999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-238.74001" y="45.610001"> </t年代pan> <tspan style="font-size: 12.50px; " x="-229.28" y="25.299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.8699999" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.721404" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.120001" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="34.283501" y="-0.0099999998"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="40.535" y="-0.0099999998"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,99.9,32.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,106.86,35.83)"> <tspan style="font-size: 12.50px; " x="18.76" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.610001" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> n</t年代pan> </text> <text transform="matrix(1,0,0,-1,137.8,32.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,142.67,35.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.8800001" y="2.51"> </t年代pan> </text> <g> <path d="m 91.05,28.38 64.35,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,117.62,16.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,123.95,13.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,159.37,25.26)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="12.54" y="-10.57"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,180.76,32.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,187.72,35.83)"> <tspan style="font-size: 12.50px; " x="18.76" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.610001" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> n</t年代pan> </text> <text transform="matrix(1,0,0,-1,218.66,32.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,223.53,35.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.8800001" y="2.51"> </t年代pan> </text> <g> <path d="m 171.91,28.38 64.35,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,198.49,16.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,204.81,13.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,240.23,25.26)"> <tspan style="font-size: 12.50px; " x="40.330002" y="-10.57"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> ⋯</t年代pan> <tspan style="font-size: 12.50px; " x="27.781666" y="0"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,289.41,32.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,296.34,35.83)"> <tspan style="font-size: 12.50px; " x="18.76" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.610001" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> n</t年代pan> </text> <text transform="matrix(1,0,0,-1,327.28,32.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,332.13,35.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.8699999" y="2.51"> </t年代pan> </text> <g> <path d="m 280.56,28.38 64.29,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,307.12,16.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,313.44,13.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,346.05,15.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.35" y="-9.7399998"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,364.84,30.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,370.39,25.26)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-309.41" y="36.040001"> =</t年代pan> <tspan style="font-size: 12.50px; " x="-297.38211" y="36.040001"> c</t年代pan> <tspan style="font-size: 12.50px; " x="-291.83078" y="36.040001"> o</t年代pan> <tspan style="font-size: 12.50px; " x="-285.57928" y="36.040001"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="-276.55212" y="36.040001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-272.38861" y="36.040001"> </t年代pan> <tspan style="font-size: 12.50px; " x="-263.42398" y="36.040001"> </t年代pan> <tspan style="font-size: 12.50px; " x="-256.5473" y="36.040001"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-250.29582" y="36.040001"> </t年代pan> <tspan style="font-size: 12.50px; " x="-239.7683" y="36.040001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-235.6048" y="36.040001"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="-229.35329" y="36.040001"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-222.41412" y="36.040001"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-211.0739" y="36.040001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,168.29,-5.72)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,181.24,-10.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="18.754499" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="22.917999" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="31.88265" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.7593" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="45.010799" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,234.69,-5.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,240.25,-10.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="16.653996" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="31.832638" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,281.05,-5.72)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,289.4,-10.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.217112" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="169.09" y="-36.360001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="173.25349" y="-36.360001"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="179.505" y="-36.360001"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="182.63075" y="-36.360001"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="188.88225" y="-36.360001"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="195.13374" y="-36.360001"> )</t年代pan> </text> </g> </g> </svg></span></p> <h5 id="sec2.4">2.4。用对称阻尼线性振动</h5><gydF4y2Bap>解决问题涉及振动与粘性阻尼线性系统的需要存在的一些困难,因为复杂的特征值的计算。在本部分中,阻尼线性系统的振动表现出对称。运动方程的矩阵微分方程(<一个href="#EEq2.22">2.37</一个>)的形式<年代pan class="equation" id="EEq2.33"> <svg height="17.3375" id="M153" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 17.3375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.3375)"> <g transform="translate(72,-58.13)"> <text transform="matrix(1,0,0,-1,136.69,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.565515" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,157.69,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,166.92,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="17.591721" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.981234" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,201.34,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,207.6,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.855003" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="31.270002" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="43.31039" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="52.049988" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="56.21349" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="63.090137" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="69.329132" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="250.89" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="255.0535" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="261.30499" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="264.43076" y="0"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="270.68225" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="276.93375" y="0"> )</t年代pan> </text> </g> </g> </svg></span>矩阵<年代vg height="10.875" id="M154" style="vertical-align:-0.15048pt;width:19.674999px;" version="1.1" viewbox="0 0 19.674999 10.875" width="19.674999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.875)"> <g transform="translate(72,-63.3)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代pan> </text> </g> </g> </svg>系统的阻尼矩阵。让我们考虑的自由振荡<年代vg height="13.6125" id="M155" style="vertical-align:-2.34499pt;width:54.025002px;" version="1.1" viewbox="0 0 54.025002 13.6125" width="54.025002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="24.818455" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="36.858845" y="0"> 0</t年代pan> </text> </g> </g> </svg>。如果我们遵循相同的过程,正如上面使用,我们可以获得Sumudu变换(<一个href="#EEq2.33">2.51</一个>)<gydF4y2Ba年代vg height="13.6125" id="M156" style="vertical-align:-2.34499pt;width:54.025002px;" version="1.1" viewbox="0 0 54.025002 13.6125" width="54.025002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="24.818455" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="36.858845" y="0"> 0</t年代pan> </text> </g> </g> </svg>如下:<年代pan class="equation" id="EEq2.34"> <svg height="38.575001" id="M157" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.575001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,38.575)"> <g transform="translate(72,-41.14)"> <text transform="matrix(1,0,0,-1,59.47,48.53)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5600004" y="-12.17"> </t年代pan> </text> <g> <path d="m 68.03,56.57 13.69,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,69.47,44.33)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,75.4,47.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,85.69,53.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="12.54" y="-7.25"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="18.7915" y="-7.25"> </t年代pan> </text> <g> <path d="m 98.23,56.57 15.64,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,103.09,44.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.630001" y="-3.8399999"> </t年代pan> <tspan style="font-size: 12.50px; " x="103.48" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.76" y="-8.7600002"> +</t年代pan> <tspan style="font-size: 12.50px; " x="26.087717" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="46.310001" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="57.925285" y="-8.7600002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="62.088787" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="68.015205" y="-8.7600002"> )</t年代pan> <tspan style="font-size: 12.50px; " x="75.654541" y="-8.7600002"> =</t年代pan> <tspan style="font-size: 12.50px; " x="87.694931" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="114.05" y="-17.110001"> </t年代pan> <tspan style="font-size: 12.50px; " x="124.56503" y="-17.110001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="128.72852" y="-17.110001"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="134.98003" y="-17.110001"> )</t年代pan> </text> <g> <path d="m 217.14,56.57 25.1,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,224.29,44.33)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,230.22,47.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,246.21,53.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="12.54" y="-8.3500004"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,267.19,66.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,272.75,61.8)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> </text> <g> <path d="m 258.75,56.57 28.58,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,270.08,44.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.440001" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.6" y="-8.7600002"> +</t年代pan> <tspan style="font-size: 12.50px; " x="43.139999" y="-17.110001"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="49.391499" y="-17.110001"> </t年代pan> <tspan style="font-size: 12.50px; " x="57.781013" y="-17.110001"> </t年代pan> <tspan style="font-size: 12.50px; " x="68.296036" y="-17.110001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="72.459534" y="-17.110001"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="78.711037" y="-17.110001"> )</t年代pan> </text> <g> <path d="m 313.22,56.57 39.74,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,330.13,44.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.030001" y="-8.7600002"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="128.36" y="-8.7600002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="132.5235" y="-8.7600002"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="138.77499" y="-8.7600002"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="141.90074" y="-8.7600002"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="148.15225" y="-8.7600002"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="154.40375" y="-8.7600002"> )</t年代pan> </text> </g> </g> </svg></span>如上所述,Sumudu转换的<年代vg height="13.6125" id="M158" style="vertical-align:-2.34499pt;width:74.662498px;" version="1.1" viewbox="0 0 74.662498 13.6125" width="74.662498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.979315" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="25.606144" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="37.646534" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.373386" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="49.536884" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="55.463306" y="0"> )</t年代pan> </text> </g> </g> </svg>和<年代vg height="13.6125" id="M159" style="vertical-align:-2.34499pt;width:27.025px;" version="1.1" viewbox="0 0 27.025 13.6125" width="27.025" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="17.354164" y="0"> )</t年代pan> </text> </g> </g> </svg>和<年代vg height="15.5625" id="M160" style="vertical-align:-2.34499pt;width:33.237499px;" version="1.1" viewbox="0 0 33.237499 15.5625" width="33.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.5625)"> <g transform="translate(72,-59.55)"> <text transform="matrix(1,0,0,-1,-71.95,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-63.51,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-60.04,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> </text> </g> </g> </svg>是系统的初始位移和初始速度矢量;让我们考虑以下情况下的矩阵<年代vg height="10.6125" id="M161" style="vertical-align:-0.15048pt;width:11.8625px;" version="1.1" viewbox="0 0 11.8625 10.6125" width="11.8625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6125)"> <g transform="translate(72,-63.51)"> <text transform="matrix(1,0,0,-1,-71.95,63.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。(我)如果<年代vg height="10.6125" id="M162" style="vertical-align:-0.15048pt;width:55.924999px;" version="1.1" viewbox="0 0 55.924999 10.6125" width="55.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6125)"> <g transform="translate(72,-63.51)"> <text transform="matrix(1,0,0,-1,-71.95,63.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.852844" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="23.893232" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.944925" y="0"> </t年代pan> </text> </g> </g> </svg>,在这种情况下,矩阵<年代vg height="10.6125" id="M163" style="vertical-align:-0.15048pt;width:11.8625px;" version="1.1" viewbox="0 0 11.8625 10.6125" width="11.8625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6125)"> <g transform="translate(72,-63.51)"> <text transform="matrix(1,0,0,-1,-71.95,63.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>惯性矩阵成正比吗<年代vg height="10.325" id="M164" style="vertical-align:-0.0pt;width:17.237499px;" version="1.1" viewbox="0 0 17.237499 10.325" width="17.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,在那里<年代vg height="7.1750002" id="M165" style="vertical-align:-0.1254pt;width:8.9375px;" version="1.1" viewbox="0 0 8.9375 7.1750002" width="8.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.175)"> <g transform="translate(72,-66.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是标量常数有适当的尺寸。和多个结果<年代vg height="13.775" id="M166" style="vertical-align:-0.0pt;width:30.825001px;" version="1.1" viewbox="0 0 30.825001 13.775" width="30.825001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.775)"> <g transform="translate(72,-60.98)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-58.26,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> </g> </g> </svg>,(<一个href="#EEq2.33">2.51</一个>)成为<年代pan class="equation" id="EEq2.35"> <svg height="19.475" id="M167" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.475" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.475)"> <g transform="translate(72,-56.42)"> <text transform="matrix(1,0,0,-1,30.49,58.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.627106" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.967327" y="-2.51"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="32.218826" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="39.270519" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.271957" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="53.974049" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="65.31427" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.503494" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,108.93,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,113.8,58.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="49.330002" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.555286" y="-2.51"> (</t年代pan> <tspan style="font-size: 12.50px; " x="23.718786" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.645208" y="-2.51"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.284542" y="-2.51"> =</t年代pan> <tspan style="font-size: 12.50px; " x="55.18" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="65.695023" y="-2.51"> (</t年代pan> <tspan style="font-size: 12.50px; " x="69.858521" y="-2.51"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="76.110023" y="-2.51"> )</t年代pan> <tspan style="font-size: 12.50px; " x="83.049187" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="94.401909" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,216.64,66.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,222.2,61.04)"> <tspan style="font-size: 12.50px; " x="22.59" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="16.653996" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="31.219999" y="0.0099999998"> +</t年代pan> <tspan style="font-size: 12.50px; " x="42.560223" y="0.0099999998"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="48.811722" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="55.863415" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="66.378433" y="0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="70.541939" y="0.0099999998"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="76.793434" y="0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="83.044937" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="88.971359" y="0.0099999998"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="104.1375" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="114.80255" y="0.0099999998"> =</t年代pan> <tspan style="font-size: 12.50px; " x="126.84294" y="0.0099999998"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,362.74,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,373.61,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.5272856" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="84.879997" y="-0.050000001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="89.043503" y="-0.050000001"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="95.294998" y="-0.050000001"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="98.420746" y="-0.050000001"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="104.67225" y="-0.050000001"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="110.92375" y="-0.050000001"> )</t年代pan> </text> </g> </g> </svg></span>现在让我们定义以下标识:<年代pan class="equation" id="EEq2.36"> <svg height="19.549999" id="M168" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.549999" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.55)"> <g transform="translate(72,-56.36)"> <text transform="matrix(1,0,0,-1,30.4,58.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.627106" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.967327" y="-2.52"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="32.218826" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="39.270519" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="48.047626" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="59.400349" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="66.589577" y="-2.52"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,102.92,65.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,107.79,58.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.555286" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="23.718786" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.645208" y="-2.52"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.284542" y="-2.52"> =</t年代pan> <tspan style="font-size: 12.50px; " x="49.324928" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="59.839954" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="64.003448" y="-2.52"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="70.254951" y="-2.52"> )</t年代pan> <tspan style="font-size: 12.50px; " x="77.194115" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="88.546844" y="-2.52"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,204.78,66.05)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,210.34,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="16.653996" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.356085" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="36.696304" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="42.947803" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="49.999496" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="56.000938" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="61.927361" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.454887" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="76.618385" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="82.869881" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="89.121384" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="104.28752" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="114.95258" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="126.99297" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,346.3,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,353.95,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,372.35,65.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,377.22,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="81.269997" y="-0.079999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="85.433502" y="-0.079999998"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="91.684998" y="-0.079999998"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="94.810745" y="-0.079999998"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="101.06225" y="-0.079999998"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="107.31375" y="-0.079999998"> )</t年代pan> </text> </g> </g> </svg></span>通过使用(<一个href="#EEq2.35">2.53</一个>)和(<一个href="#EEq2.36">2.54</一个>),我们有<年代pan class="equation" id="EEq2.37"> <svg height="46.137501" id="M169" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 46.137501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,46.1375)"> <g transform="translate(72,-35.09)"> <text transform="matrix(1,0,0,-1,79.9,50.56)"> <tspan style="font-size: 12.50px; " x="56.529999" y="-8.3599997"> (</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.615287" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.705208" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.344542" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="60.700001" y="-8.3500004"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="69.727165" y="-8.3500004"> +</t年代pan> <tspan style="font-size: 12.50px; " x="81.06739" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="88.11908" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="94.045502" y="-8.3500004"> )</t年代pan> <tspan style="font-size: 12.50px; " x="100.2845" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="110.81203" y="-8.3500004"> (</t年代pan> <tspan style="font-size: 12.50px; " x="114.97552" y="-8.3500004"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="121.22702" y="-8.3500004"> )</t年代pan> </text> <g> <path d="m 122.48,53.68 96.77,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,122.48,37.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8600001" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.023499" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.788101" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="30.140825" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="37.192516" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="43.118938" y="-2.52"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,169.76,44.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,177.42,39.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,197.72,44.76)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,202.6,39.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,208.52,43.14)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,213.4,37.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.8199997" y="-13.37"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.459999" y="-23.940001"> </t年代pan> <tspan style="font-size: 12.50px; " x="31.469999" y="-21.43"> </t年代pan> <tspan style="font-size: 12.50px; " x="37.330002" y="-23.940001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,259.17,66.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,264.72,61.14)"> <tspan style="font-size: 12.50px; " x="60.860001" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="17.354164" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="28.694386" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="35.746078" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="46.273602" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="50.437103" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="56.688602" y="0"> )</t年代pan> </text> <g> <path d="m 235.76,53.68 96.77,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,235.76,37.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.013499" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.790606" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="30.130827" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="37.182518" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="43.10894" y="-2.52"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,283.04,44.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,290.7,39.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,311,44.76)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,315.88,39.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,321.8,43.14)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,326.68,37.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.0500002" y="-13.37"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="131.81" y="-13.23"> (</t年代pan> <tspan style="font-size: 12.50px; " x="135.9735" y="-13.23"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="142.22501" y="-13.23"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="145.35075" y="-13.23"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="151.60225" y="-13.23"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="157.85374" y="-13.23"> )</t年代pan> </text> </g> </g> </svg></span>在使用Sumudu逆变换(<一个href="#EEq2.37">2.55</一个>),我们得到<年代pan class="equation" id="eq21"> <svg height="30.700001" id="M170" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 30.700001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,30.7)"> <g transform="translate(72,-47.44)"> <text transform="matrix(1,0,0,-1,46.65,56.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.678522" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.555172" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="41.222389" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,93.45,61.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="10.922496" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,111.77,56.25)"> <tspan style="font-size: 12.50px; " x="88.870003" y="-7.25"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> c</t年代pan> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.958149" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.834797" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="47.0863" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="57.601322" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="61.76482" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="68.028824" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="74.967987" y="0"> +</t年代pan> </text> <g> <path d="m 199.28,59.37 8.96,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,199.28,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.16" y="-8.7600002"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,215,61.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="10.931248" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,233.33,56.25)"> <tspan style="font-size: 12.50px; " x="45.009998" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.860001" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="18.754499" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="22.917999" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="31.88265" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.7593" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,292.63,61.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,298.19,56.25)"> <tspan style="font-size: 12.50px; " x="60.860001" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="68.790001" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="17.354164" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="28.694386" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="35.746078" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="46.273602" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="50.437103" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="56.688602" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="160.3" y="-0.34999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="164.4635" y="-0.34999999"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="170.715" y="-0.34999999"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="173.84074" y="-0.34999999"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="180.09225" y="-0.34999999"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="186.34375" y="-0.34999999"> )</t年代pan> </text> </g> </g> </svg></span></p> <p>(2)如果<年代vg height="13.425" id="M171" style="vertical-align:-2.29482pt;width:51.875px;" version="1.1" viewbox="0 0 51.875 13.425" width="51.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.425)"> <g transform="translate(72,-61.26)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.852844" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="23.893232" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.869907" y="0"> </t年代pan> </text> </g> </g> </svg>,矩阵<年代vg height="10.6125" id="M172" style="vertical-align:-0.15048pt;width:11.8625px;" version="1.1" viewbox="0 0 11.8625 10.6125" width="11.8625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6125)"> <g transform="translate(72,-63.51)"> <text transform="matrix(1,0,0,-1,-71.95,63.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>刚度矩阵成正比吗<年代vg height="10.325" id="M173" style="vertical-align:-0.0pt;width:13.2875px;" version="1.1" viewbox="0 0 13.2875 10.325" width="13.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>系统的,<年代vg height="13.425" id="M174" style="vertical-align:-2.29482pt;width:51.875px;" version="1.1" viewbox="0 0 51.875 13.425" width="51.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.425)"> <g transform="translate(72,-61.26)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.852844" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="23.893232" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.869907" y="0"> </t年代pan> </text> </g> </g> </svg>在哪里<年代vg height="13.425" id="M175" style="vertical-align:-2.29482pt;width:8.8500004px;" version="1.1" viewbox="0 0 8.8500004 13.425" width="8.8500004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.425)"> <g transform="translate(72,-61.26)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是一个标量常数的维度。用<年代vg height="10.6125" id="M176" style="vertical-align:-0.15048pt;width:11.8625px;" version="1.1" viewbox="0 0 11.8625 10.6125" width="11.8625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6125)"> <g transform="translate(72,-63.51)"> <text transform="matrix(1,0,0,-1,-71.95,63.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>在(<一个href="#EEq2.34">2.52</一个>),结果乘以<年代vg height="13.775" id="M177" style="vertical-align:-0.0pt;width:30.825001px;" version="1.1" viewbox="0 0 30.825001 13.775" width="30.825001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.775)"> <g transform="translate(72,-60.98)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-58.26,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> </g> </g> </svg>,我们获得<年代pan class="equation" id="EEq2.38"> <svg height="49.1875" id="M178" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 49.1875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,49.1875)"> <g transform="translate(72,-32.65)"> <text transform="matrix(1,0,0,-1,38.6,58.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8600001" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.624603" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.977327" y="-2.51"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="32.228828" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.155251" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.131924" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="55.096813" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="66.437035" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,110.97,65.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,117.93,58.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,132.75,66.02)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,140.4,60.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,158.72,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,163.59,60.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,173.59,65.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,178.47,58.45)"> <tspan style="font-size: 12.50px; " x="13.79" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8514042" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.41" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="29.5735" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="35.49992" y="-2.52"> )</t年代pan> <tspan style="font-size: 12.50px; " x="43.126751" y="-2.52"> =</t年代pan> <tspan style="font-size: 12.50px; " x="55.167141" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="65.694664" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="69.858162" y="-2.52"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="76.109665" y="-2.52"> )</t年代pan> <tspan style="font-size: 12.50px; " x="83.048828" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="94.389053" y="-2.52"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,281.31,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,286.86,60.97)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="16.666498" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.368587" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="36.708809" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="42.960308" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="49.936981" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="57.126205" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="63.052628" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="73.580154" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="77.743652" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="83.995155" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="90.234154" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-158.66" y="24.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="-148.00745" y="24.52"> =</t年代pan> <tspan style="font-size: 12.50px; " x="-135.96706" y="24.52"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,164.59,41.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,175.46,36.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.5272856" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="34.658318" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,219.09,41.5)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,226.74,36.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,245.06,41.52)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,249.93,36.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,259.94,41.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,268.28,36.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.229614" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="190.21001" y="-12.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="194.3735" y="-12.75"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="200.625" y="-12.75"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="203.75075" y="-12.75"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="210.00224" y="-12.75"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="216.25375" y="-12.75"> )</t年代pan> </text> </g> </g> </svg></span>通过简化(<一个href="#EEq2.38">2.57</一个>),<gydF4y2Ba年代pan class="equation" id="EEq2.39"> <svg height="46.137501" id="M179" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 46.137501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,46.1375)"> <g transform="translate(72,-35.09)"> <text transform="matrix(1,0,0,-1,72.79,50.56)"> <tspan style="font-size: 12.50px; " x="56.66" y="-8.3599997"> (</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.615287" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.705208" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.344542" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="60.82" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="69.597107" y="-8.3500004"> +</t年代pan> <tspan style="font-size: 12.50px; " x="80.937325" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="87.914001" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="95.103226" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="101.02965" y="-8.3500004"> )</t年代pan> <tspan style="font-size: 12.50px; " x="107.28115" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="117.79617" y="-8.3500004"> (</t年代pan> <tspan style="font-size: 12.50px; " x="121.95967" y="-8.3500004"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="128.21117" y="-8.3500004"> )</t年代pan> </text> <g> <path d="m 115.37,53.68 103.88,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,115.37,37.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.013499" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.790606" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="30.130827" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="37.107498" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.296726" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.223148" y="-2.52"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,169.76,44.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,177.42,39.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,197.72,44.76)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,202.6,39.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,208.52,43.14)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,213.4,37.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.8199997" y="-13.37"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.459999" y="-23.940001"> </t年代pan> <tspan style="font-size: 12.50px; " x="31.469999" y="-21.43"> </t年代pan> <tspan style="font-size: 12.50px; " x="37.330002" y="-23.940001"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.29417" y="-23.940001"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.483395" y="-23.940001"> </t年代pan> <tspan style="font-size: 12.50px; " x="62.02" y="-23.950001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="66.183502" y="-23.950001"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="72.434998" y="-23.950001"> )</t年代pan> <tspan style="font-size: 12.50px; " x="79.361664" y="-23.950001"> +</t年代pan> <tspan style="font-size: 12.50px; " x="90.714386" y="-23.950001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,312.56,66.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,318.11,61.14)"> <tspan style="font-size: 12.50px; " x="14.58" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> </text> <g> <path d="m 235.76,53.68 103.88,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,235.76,37.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.013499" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.790606" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="30.130827" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="37.107498" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.296726" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.223148" y="-2.52"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,290.16,44.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,297.81,39.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,318.12,44.76)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,322.99,39.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,328.92,43.14)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,333.79,37.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.0500002" y="-13.37"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="124.7" y="-13.23"> (</t年代pan> <tspan style="font-size: 12.50px; " x="128.86349" y="-13.23"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="135.11501" y="-13.23"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="138.24075" y="-13.23"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="144.49225" y="-13.23"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="150.74374" y="-13.23"> )</t年代pan> </text> </g> </g> </svg></span>在使用Sumudu逆变换(<一个href="#EEq2.39">2.58</一个>),我们得到<年代pan class="equation" id="eq22"> <svg height="19.35" id="M180" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.35" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.35)"> <g transform="translate(72,-56.52)"> <text transform="matrix(1,0,0,-1,43.73,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.53" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.693499" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.570148" y="-0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.19698" y="-0.0099999998"> =</t年代pan> <tspan style="font-size: 12.50px; " x="41.23737" y="-0.0099999998"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,90.54,66.14)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="10.922496" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.954896" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,113.89,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> c</t年代pan> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="20.84" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="25.003498" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.968151" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.844799" y="-0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="47.083797" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="57.611324" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="61.774822" y="-0.0099999998"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="68.026321" y="-0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="74.965485" y="-0.0099999998"> +</t年代pan> <tspan style="font-size: 12.50px; " x="86.30571" y="-0.0099999998"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,205.77,66.14)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="10.922496" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.954896" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,229.13,61.13)"> <tspan style="font-size: 12.50px; " x="45.009998" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="18.76" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="22.923498" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="31.888149" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.764801" y="-0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="50.860001" y="7.1054274e-015"> </t年代pan> <tspan style="font-size: 12.50px; " x="57.836674" y="7.1054274e-015"> </t年代pan> <tspan style="font-size: 12.50px; " x="65.025902" y="7.1054274e-015"> </t年代pan> <tspan style="font-size: 12.50px; " x="75.550003" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="79.713501" y="-0.0099999998"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="85.964996" y="-0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="92.904167" y="-0.0099999998"> +</t年代pan> <tspan style="font-size: 12.50px; " x="104.24438" y="-0.0099999998"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,341.82,66.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,347.38,61.14)"> <tspan style="font-size: 12.50px; " x="14.58" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="22.51" y="0.0099999998"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="111.11" y="0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="115.2735" y="0.0099999998"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="121.525" y="0.0099999998"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="124.65075" y="0.0099999998"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="130.90225" y="0.0099999998"> 9</t年代pan> <tspan style="font-size: 12.50px; " x="137.15375" y="0.0099999998"> )</t年代pan> </text> </g> </g> </svg></span></p> <h5 id="sec2.5">2.5。傅科摆的振荡</h5><gydF4y2Bap>使用Sumudu变换矩阵的函数。作为一个具体的例子,傅科摆的运动。小型振动的运动方程给出了傅科摆由以下系统:<年代pan class="equation" id="EEq2.40"> <svg height="48" id="M181" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,48)"> <g transform="translate(72,-33.6)"> <text transform="matrix(1,0,0,-1,166.68,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̈</t年代pan> <tspan style="font-size: 12.50px; " x="-6.6640992" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="2.975714" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="14.315935" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="20.567434" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.683083" y="0"> ̇</t年代pan> <tspan style="font-size: 12.50px; " x="26.831438" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="35.796089" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="47.148811" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,220.11,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,224.98,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="28.63187" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-57.439999" y="23.629999"> ̈</t年代pan> <tspan style="font-size: 12.50px; " x="-64.291641" y="23.629999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-55.326992" y="23.629999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-43.986771" y="23.629999"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="-37.735271" y="23.629999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-24.807171" y="23.629999"> ̇</t年代pan> <tspan style="font-size: 12.50px; " x="-31.47127" y="23.629999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-21.818953" y="23.629999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-10.478732" y="23.629999"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,220.78,42.4)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,225.66,37.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.6648188" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.705208" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="27.956709" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="232.83" y="-12.27"> (</t年代pan> <tspan style="font-size: 12.50px; " x="236.9935" y="-12.27"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="243.245" y="-12.27"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="246.37074" y="-12.27"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="252.62225" y="-12.27"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="258.87375" y="-12.27"> )</t年代pan> </text> </g> </g> </svg></span>使用以下符号:<年代vg height="7.1624999" id="M182" style="vertical-align:-0.11285pt;width:8.7250004px;" version="1.1" viewbox="0 0 8.7250004 7.1624999" width="8.7250004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是钟摆向南偏转,<年代vg height="9.8625002" id="M183" style="vertical-align:-2.29482pt;width:7.875px;" version="1.1" viewbox="0 0 7.875 9.8625002" width="7.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.8625)"> <g transform="translate(72,-64.11)"> <text transform="matrix(1,0,0,-1,-71.95,66.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是摆朝东的偏转,<年代vg height="13.6625" id="M184" style="vertical-align:-2.29482pt;width:72.212502px;" version="1.1" viewbox="0 0 72.212502 13.6625" width="72.212502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6625)"> <g transform="translate(72,-61.07)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.7148314" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.357765" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="37.221432" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="40.697266" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="51.112263" y="0"> </t年代pan> </text> </g> </g> </svg>,<年代vg height="7.1875" id="M185" style="vertical-align:-0.13794pt;width:10.7625px;" version="1.1" viewbox="0 0 10.7625 7.1875" width="10.7625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1875)"> <g transform="translate(72,-66.25)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是地球的角速度,<年代vg height="10.7375" id="M186" style="vertical-align:-0.13794pt;width:8.3125px;" version="1.1" viewbox="0 0 8.3125 10.7375" width="8.3125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.7375)"> <g transform="translate(72,-63.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>纬度角。方程(<一个href="#EEq2.40">2.60</一个>)可以写成矩阵形式如下:<年代pan class="equation" id="EEq2.41"> <svg height="18.4625" id="M187" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 18.4625" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.4625)"> <g transform="translate(72,-57.23)"> <text transform="matrix(1,0,0,-1,146.82,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.22" y="-2.73"> ̈</t年代pan> <tspan style="font-size: 12.50px; " x="57.540001" y="-2.73"> ̇</t年代pan> <tspan style="font-size: 12.50px; " x="7.1300001" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.34519" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="29.685411" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="35.936913" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="42.188412" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.439999" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="61.65519" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="72.995415" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="80.122124" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,233.23,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,238.1,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="22.442884" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="28.700001" y="-0.46000001"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="220.39" y="-0.46000001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="224.5535" y="-0.46000001"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="230.80499" y="-0.46000001"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="233.93076" y="-0.46000001"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="240.18225" y="-0.46000001"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="246.43375" y="-0.46000001"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vg height="9.9250002" id="M188" style="vertical-align:-0.13794pt;width:4.9875002px;" version="1.1" viewbox="0 0 4.9875002 9.9250002" width="4.9875002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.925)"> <g transform="translate(72,-64.06)"> <text transform="matrix(1,0,0,-1,-71.95,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是二阶单位矩阵和坐标向量的形式<年代pan class="equation" id="EEq2.42"> <svg height="62.637501" id="M189" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 62.637501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,62.6375)"> <g transform="translate(72,-21.89)"> <text transform="matrix(1,0,0,-1,142.63,43.82)"> <tspan style="font-size: 12.50px; " x="22.450001" y="-13.08"> ⎡</t年代pan> <tspan style="font-size: 12.50px; " x="22.450001" y="-2.23"> ⎢</t年代pan> <tspan style="font-size: 12.50px; " x="22.450001" y="8.6099997"> ⎢</t年代pan> <tspan style="font-size: 12.50px; " x="22.450001" y="19.4"> ⎣</t年代pan> <tspan style="font-size: 12.50px; " x="28.08" y="-10.63"> </t年代pan> <tspan style="font-size: 12.50px; " x="28.42" y="14.38"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.959999" y="-13.08"> ⎤</t年代pan> <tspan style="font-size: 12.50px; " x="34.959999" y="-2.23"> ⎥</t年代pan> <tspan style="font-size: 12.50px; " x="34.959999" y="8.6099997"> ⎥</t年代pan> <tspan style="font-size: 12.50px; " x="34.959999" y="19.4"> ⎦</t年代pan> <tspan style="font-size: 12.50px; " x="90.059998" y="-13.08"> ⎡</t年代pan> <tspan style="font-size: 12.50px; " x="90.059998" y="-2.23"> ⎢</t年代pan> <tspan style="font-size: 12.50px; " x="90.059998" y="8.6099997"> ⎢</t年代pan> <tspan style="font-size: 12.50px; " x="90.059998" y="19.4"> ⎣</t年代pan> <tspan style="font-size: 12.50px; " x="122.74" y="-13.08"> ⎤</t年代pan> <tspan style="font-size: 12.50px; " x="122.74" y="-2.23"> ⎥</t年代pan> <tspan style="font-size: 12.50px; " x="122.74" y="8.6099997"> ⎥</t年代pan> <tspan style="font-size: 12.50px; " x="122.74" y="19.4"> ⎦</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="42.669998" y="7.1054274e-015"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="67.801033" y="7.1054274e-015"> </t年代pan> <tspan style="font-size: 12.50px; " x="78.015984" y="7.1054274e-015"> =</t年代pan> <tspan style="font-size: 12.50px; " x="95.690002" y="-10.63"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="107.91793" y="-10.63"> −</t年代pan> <tspan style="font-size: 12.50px; " x="116.48249" y="-10.63"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="95.690002" y="14.38"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="112.19396" y="14.38"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="128.36" y="7.1054274e-015"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="315.85999" y="7.1054274e-015"> (</t年代pan> <tspan style="font-size: 12.50px; " x="320.0235" y="7.1054274e-015"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="326.27499" y="7.1054274e-015"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="329.40076" y="7.1054274e-015"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="335.65225" y="7.1054274e-015"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="341.90375" y="7.1054274e-015"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vg height="10.5125" id="M190" style="vertical-align:-0.15048pt;width:10.4375px;" version="1.1" viewbox="0 0 10.4375 10.5125" width="10.4375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.5125)"> <g transform="translate(72,-63.59)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是矩阵<年代vg height="11.075" id="M191" style="vertical-align:-0.3135pt;width:43.125px;" version="1.1" viewbox="0 0 43.125 11.075" width="43.125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.075)"> <g transform="translate(72,-63.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="13.190665" y="0"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="28.144253" y="0"> 2</t年代pan> </text> </g> </g> </svg>,在那里<年代vg height="13.9625" id="M192" style="vertical-align:-0.15048pt;width:55.537498px;" version="1.1" viewbox="0 0 55.537498 13.9625" width="55.537498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.9625)"> <g transform="translate(72,-60.83)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-63.7,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,-55.35,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="20.592442" y="0"> </t年代pan> </text> </g> </g> </svg>。现在通过Sumudu变换(<一个href="#EEq2.41">2.61</一个>),安排后,我们有<年代pan class="equation" id="EEq2.43"> <svg height="19.475" id="M193" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.475" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.475)"> <g transform="translate(72,-56.42)"> <text transform="matrix(1,0,0,-1,66.21,58.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.627106" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.967327" y="-2.51"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="32.218826" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.470325" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.221947" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="53.924034" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="65.276756" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.403465" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,144.89,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,149.76,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,155.69,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,160.57,58.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.9299998" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.545286" y="-2.51"> (</t年代pan> <tspan style="font-size: 12.50px; " x="23.708786" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.635208" y="-2.51"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.27454" y="-2.51"> =</t年代pan> <tspan style="font-size: 12.50px; " x="49.31493" y="-2.51"> (</t年代pan> <tspan style="font-size: 12.50px; " x="53.478428" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="62.255535" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="73.595757" y="-2.51"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="79.84726" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="86.098755" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="92.850372" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="98.776794" y="-2.51"> )</t年代pan> <tspan style="font-size: 12.50px; " x="105.0283" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="115.55582" y="-2.51"> (</t年代pan> <tspan style="font-size: 12.50px; " x="119.71932" y="-2.51"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="125.97083" y="-2.51"> )</t年代pan> <tspan style="font-size: 12.50px; " x="132.90999" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="144.25021" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="150.25165" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="156.17807" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,325.2,66.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,330.75,61.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="16.653996" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="127.74" y="-0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="131.9035" y="-0.039999999"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="138.155" y="-0.039999999"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="141.28075" y="-0.039999999"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="147.53224" y="-0.039999999"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="153.78375" y="-0.039999999"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vg height="13.6125" id="M194" style="vertical-align:-2.34499pt;width:27.025px;" version="1.1" viewbox="0 0 27.025 13.6125" width="27.025" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="17.354164" y="0"> )</t年代pan> </text> </g> </g> </svg>和<年代vg height="15.5625" id="M195" style="vertical-align:-2.34499pt;width:33.237499px;" version="1.1" viewbox="0 0 33.237499 15.5625" width="33.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.5625)"> <g transform="translate(72,-59.55)"> <text transform="matrix(1,0,0,-1,-71.95,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-63.51,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-60.04,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> </text> </g> </g> </svg>分别代表了初始坐标和初始速度矢量;为了使用Sumudu逆变换,我们需要以下标识:<年代pan class="equation" id="eq23"> <svg height="49.462502" id="M196" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 49.462502" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,49.4625)"> <g transform="translate(72,-32.43)"> <text transform="matrix(1,0,0,-1,83.79,58.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8600001" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.624603" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.977327" y="-2.52"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="32.228828" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.480328" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.231949" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="53.934036" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="65.274254" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.400963" y="-2.52"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,162.48,65.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,167.35,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,173.28,65.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,178.15,58.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.3199997" y="-2.52"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.36039" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="25.523888" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.300995" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="45.641216" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.892715" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="58.644337" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="64.570755" y="-2.52"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,246.89,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,254.55,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,274.85,65.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,279.73,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,285.65,65.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,187.47,36.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.817495" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="32.157715" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="38.409218" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.660717" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.412334" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="60.114426" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="71.470001" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="75.633499" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="81.872498" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="88.624115" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="94.550537" y="-0.0099999998"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,286.2,41.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,293.85,36.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,314.16,41.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,319.03,36.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,324.96,41.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,329.83,36.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="128.66" y="-12.86"> (</t年代pan> <tspan style="font-size: 12.50px; " x="132.8235" y="-12.86"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="139.075" y="-12.86"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="142.20074" y="-12.86"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="148.45226" y="-12.86"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="154.70375" y="-12.86"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代pan class="equation" id="eq24"> <svg height="19.700001" id="M197" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.700001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.7)"> <g transform="translate(72,-56.24)"> <text transform="matrix(1,0,0,-1,105.92,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.402496" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.154116" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.080538" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,133.17,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,140.83,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,161.13,65.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,166.01,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,171.93,65.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,180.28,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.04" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.889999" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,207.14,65.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,214.79,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,232.38,65.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,237.26,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.1199999" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.06" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,258.25,65.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,266.59,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.167099" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,292.03,65.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,296.91,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,302.83,65.86)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,307.71,61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="150.78" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="154.9435" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="161.19499" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="164.32076" y="0"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="170.57225" y="0"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="176.82375" y="0"> )</t年代pan> </text> </g> </g> </svg></span>因此,我们获得<年代pan class="equation" id="eq25"> <svg height="19.549999" id="M198" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.549999" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.55)"> <g transform="translate(72,-56.36)"> <text transform="matrix(1,0,0,-1,130.05,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,139.01,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,143.89,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,149.81,65.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,158.16,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.04" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.889999" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,182.3,65.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,189.96,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,207.58,65.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,212.45,58.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.9299998" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.93144" y="-2.52"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,232.31,65.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,240.66,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.029325" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,267.9,65.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,272.78,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,278.7,65.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,283.58,60.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="174.91" y="-0.079999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="179.0735" y="-0.079999998"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="185.325" y="-0.079999998"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="188.45074" y="-0.079999998"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="194.70226" y="-0.079999998"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="200.95375" y="-0.079999998"> )</t年代pan> </text> </g> </g> </svg></span>使用上面的标识(<一个href="#EEq2.43">2.63</一个>),就<年代pan class="equation" id="EEq2.44"> <svg height="46.137501" id="M199" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 46.137501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,46.1375)"> <g transform="translate(72,-35.09)"> <text transform="matrix(1,0,0,-1,67.71,50.56)"> <tspan style="font-size: 12.50px; " x="59.779999" y="-8.3599997"> (</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.615287" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.705208" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.344542" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="63.939999" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.71711" y="-8.3500004"> +</t年代pan> <tspan style="font-size: 12.50px; " x="84.057327" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="90.30883" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="97.060448" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="102.98687" y="-8.3500004"> )</t年代pan> <tspan style="font-size: 12.50px; " x="109.23837" y="-8.3500004"> </t年代pan> <tspan style="font-size: 12.50px; " x="119.7534" y="-8.3500004"> (</t年代pan> <tspan style="font-size: 12.50px; " x="123.91689" y="-8.3500004"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="130.1684" y="-8.3500004"> )</t年代pan> </text> <g> <path d="m 110.29,53.68 108.96,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,110.29,37.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.013499" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.790606" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="30.130827" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.382324" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="43.133945" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="49.060368" y="-2.52"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,163.52,44.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,171.18,39.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.341661" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,197.72,44.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,202.6,39.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,208.52,43.14)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,213.4,37.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.8199997" y="-13.37"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.58" y="-21.43"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.43" y="-23.940001"> </t年代pan> <tspan style="font-size: 12.50px; " x="35.681499" y="-23.940001"> </t年代pan> <tspan style="font-size: 12.50px; " x="42.433121" y="-23.940001"> </t年代pan> <tspan style="font-size: 12.50px; " x="52.959999" y="-23.950001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="57.123501" y="-23.950001"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="63.375" y="-23.950001"> )</t年代pan> <tspan style="font-size: 12.50px; " x="70.314163" y="-23.950001"> +</t年代pan> <tspan style="font-size: 12.50px; " x="81.654388" y="-23.950001"> </t年代pan> <tspan style="font-size: 12.50px; " x="87.655823" y="-23.950001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,309.5,66.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,315.06,61.14)"> <tspan style="font-size: 12.50px; " x="14.58" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.51" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> </text> <g> <path d="m 235.76,53.68 108.96,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,235.76,37.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.013499" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.790606" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="30.130827" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.382324" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="43.133945" y="-2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="49.060368" y="-2.52"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,288.99,44.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,296.65,39.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.329159" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,323.19,44.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,328.07,39.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,333.99,43.14)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,338.87,37.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.0500002" y="-13.23"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="119.62" y="-13.23"> (</t年代pan> <tspan style="font-size: 12.50px; " x="123.7835" y="-13.23"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="130.035" y="-13.23"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="133.16075" y="-13.23"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="139.41225" y="-13.23"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="145.66374" y="-13.23"> )</t年代pan> </text> </g> </g> </svg></span>通过Sumudu逆变换(<一个href="#EEq2.44">2.67</一个>),我们得到<年代pan class="equation" id="eq26"> <svg height="33.525002" id="M200" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 33.525002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,33.525)"> <g transform="translate(72,-45.18)"> <text transform="matrix(1,0,0,-1,41.77,53.98)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.678522" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.591961" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="26.231295" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="38.259178" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,85.6,58.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="10.37112" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.0972" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,106.02,53.98)"> <tspan style="font-size: 12.50px; " x="90.279999" y="-7.25"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> c</t年代pan> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="20.829998" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.994938" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="39.697025" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="43.610462" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="49.861965" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="60.376987" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="64.540489" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="70.791985" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="77.743652" y="0"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,201.87,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="10.362368" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.088448" y="0"> </t年代pan> </text> <g> <path d="m 196.3,57.11 23.9,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,203.65,45.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="67.620003" y="-6.2399998"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.83" y="-8.75"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="24.693666" y="-8.75"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="28.1695" y="-8.75"> n</t年代pan> <tspan style="font-size: 12.50px; " x="38.584499" y="-8.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="42.747997" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="48.749439" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="57.451527" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="61.364967" y="-8.75"> )</t年代pan> <tspan style="font-size: 12.50px; " x="73.470001" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="79.721497" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="86.473122" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="96.988144" y="-8.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="101.15164" y="-8.75"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="107.40314" y="-8.75"> )</t年代pan> <tspan style="font-size: 12.50px; " x="114.34231" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="125.69503" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="131.69647" y="-8.75"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,343.79,59.05)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,349.35,53.99)"> <tspan style="font-size: 12.50px; " x="14.58" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.51" y="0.0099999998"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="109.14" y="-1.47"> (</t年代pan> <tspan style="font-size: 12.50px; " x="113.3035" y="-1.47"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="119.555" y="-1.47"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="122.68075" y="-1.47"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="128.93225" y="-1.47"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="135.18375" y="-1.47"> )</t年代pan> </text> </g> </g> </svg></span>因此考虑以下系统:<年代pan class="equation" id="EEq2.45"> <svg height="46.737499" id="M201" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 46.737499" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,46.7375)"> <g transform="translate(72,-34.61)"> <text transform="matrix(1,0,0,-1,110.96,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,117.24,58.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,126.49,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,132.69,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,140.34,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,157.56,58.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,166.81,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,173.01,58.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,180.66,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,198.28,58.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,207.53,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,213.74,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,221.39,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,238.61,58.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,247.86,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,254.06,58.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,262.41,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,281.38,58.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,288.34,62.01)"> <tspan style="font-size: 12.50px; " x="-177.38" y="23.129999"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="14.315935" y="0"> ,</t年代pan> </text> <text transform="matrix(1,0,0,-1,117.24,35.75)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,126.49,38.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,132.69,43.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,140.34,38.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,157.56,35.75)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,166.81,38.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,173.01,35.75)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,180.66,38.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,198.28,35.75)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,207.53,38.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,213.74,43.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,221.39,38.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,238.61,35.75)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,247.86,38.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,254.06,35.75)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,262.41,38.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,281.38,35.75)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,288.34,38.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="14.315935" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="170.14999" y="-11.3"> (</t年代pan> <tspan style="font-size: 12.50px; " x="174.31349" y="-11.3"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="180.565" y="-11.3"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="183.69075" y="-11.3"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="189.94225" y="-11.3"> 9</t年代pan> <tspan style="font-size: 12.50px; " x="196.19376" y="-11.3"> )</t年代pan> </text> </g> </g> </svg></span>我们认为的极限荷载的存在<年代vg height="11.325" id="M202" style="vertical-align:-0.51414pt;width:51.900002px;" version="1.1" viewbox="0 0 51.900002 11.325" width="51.900002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.325)"> <g transform="translate(72,-62.94)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.4647713" y="0"> →</t年代pan> <tspan style="font-size: 12.50px; " x="26.593882" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="35.158436" y="0"> 0</t年代pan> </text> </g> </g> </svg>,<年代vg height="16.475" id="M203" style="vertical-align:-3.13504pt;width:41.237499px;" version="1.1" viewbox="0 0 41.237499 16.475" width="41.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.475)"> <g transform="translate(72,-58.82)"> <text transform="matrix(1,0,0,-1,-71.95,61.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.01,58.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,-60.14,61.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,-49.72,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,-43.23,61.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> </text> </g> </g> </svg>和<年代vg height="16.475" id="M204" style="vertical-align:-3.13504pt;width:41.237499px;" version="1.1" viewbox="0 0 41.237499 16.475" width="41.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.475)"> <g transform="translate(72,-58.82)"> <text transform="matrix(1,0,0,-1,-71.95,61.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.01,58.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,-60.14,61.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,-49.72,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,-43.23,61.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> </text> </g> </g> </svg>推迟进一步规范有关这些功能。让系统异常;也就是说,<年代pan class="equation" id="EEq2.46"> <svg height="70.737503" id="M205" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 70.737503" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,70.7375)"> <g transform="translate(72,-15.41)"> <text transform="matrix(1,0,0,-1,172.52,40.58)"> <tspan style="font-size: 12.50px; " x="24.469999" y="-22.92"> |</t年代pan> <tspan style="font-size: 12.50px; " x="24.469999" y="-12.25"> |</t年代pan> <tspan style="font-size: 12.50px; " x="24.469999" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="24.469999" y="9.0799999"> |</t年代pan> <tspan style="font-size: 12.50px; " x="24.469999" y="19.74"> |</t年代pan> <tspan style="font-size: 12.50px; " x="24.469999" y="22.91"> |</t年代pan> <tspan style="font-size: 12.50px; " x="26.969999" y="-10.63"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.427982" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,205.77,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,221,51.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,227.27,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,199.49,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,205.77,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,221,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,227.27,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,236.52,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="10.67"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="21.33"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="32"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="42.66"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="45.830002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="4.5900002" y="22.92"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="221.97" y="22.92"> (</t年代pan> <tspan style="font-size: 12.50px; " x="226.1335" y="22.92"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="232.38499" y="22.92"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="235.51074" y="22.92"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="241.76225" y="22.92"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="248.01375" y="22.92"> )</t年代pan> </text> </g> </g> </svg></span>初始值<年代vg height="19.200001" id="M206" style="vertical-align:-4.35121pt;width:13.975px;" version="1.1" viewbox="0 0 13.975 19.200001" width="13.975" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.2)"> <g transform="translate(72,-56.64)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.75,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 1</t年代pan> </text> </g> </g> </svg>和<年代vg height="19.200001" id="M207" style="vertical-align:-4.35121pt;width:13.975px;" version="1.1" viewbox="0 0 13.975 19.200001" width="13.975" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.2)"> <g transform="translate(72,-56.64)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.75,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 2</t年代pan> </text> </g> </g> </svg>的<年代vg height="10.9125" id="M208" style="vertical-align:-3.13504pt;width:13.975px;" version="1.1" viewbox="0 0 13.975 10.9125" width="13.975" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.75,63.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> </g> </g> </svg>和<年代vg height="10.9125" id="M209" style="vertical-align:-3.13504pt;width:13.975px;" version="1.1" viewbox="0 0 13.975 10.9125" width="13.975" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.75,63.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> </g> </g> </svg>给出尽可能限制吗<年代vg height="11.325" id="M210" style="vertical-align:-0.51414pt;width:51.900002px;" version="1.1" viewbox="0 0 51.900002 11.325" width="51.900002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.325)"> <g transform="translate(72,-62.94)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.4647713" y="0"> →</t年代pan> <tspan style="font-size: 12.50px; " x="26.593882" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="35.158436" y="0"> 0</t年代pan> </text> </g> </g> </svg>:<年代pan class="equation" id="EEq2.47"> <svg height="19.475" id="M211" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.475" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.475)"> <g transform="translate(72,-56.42)"> <text transform="matrix(1,0,0,-1,127.97,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,134.17,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,141.13,58.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,153.23,66.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,159.72,58.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.3299999" y="-2.51"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.357885" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,187.29,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,192.16,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="29.294529" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,227.67,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,234.62,58.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8600001" y="-2.51"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,246.73,66.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,253.22,58.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.3199997" y="-2.51"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.36039" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,280.78,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,285.66,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="172.83" y="-0.050000001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="176.9935" y="-0.050000001"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="183.245" y="-0.050000001"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="186.37074" y="-0.050000001"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="192.62225" y="-0.050000001"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="198.87375" y="-0.050000001"> )</t年代pan> </text> </g> </g> </svg></span>因为(<一个href="#EEq2.46">2.70</一个>),我们可以消除<年代vg height="17.825001" id="M212" style="vertical-align:-4.22832pt;width:13.975px;" version="1.1" viewbox="0 0 13.975 17.825001" width="13.975" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.825)"> <g transform="translate(72,-57.74)"> <text transform="matrix(1,0,0,-1,-71.95,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.75,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 1</t年代pan> </text> </g> </g> </svg>和<年代vg height="17.825001" id="M213" style="vertical-align:-4.22832pt;width:13.975px;" version="1.1" viewbox="0 0 13.975 17.825001" width="13.975" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.825)"> <g transform="translate(72,-57.74)"> <text transform="matrix(1,0,0,-1,-71.95,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.75,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 2</t年代pan> </text> </g> </g> </svg>从(<一个href="#EEq2.45">2.69</一个>)。自(<一个href="#EEq2.45">2.69</一个>)代表一个微分方程组,至少其中一个系数<年代vg height="11.05" id="M214" style="vertical-align:-3.2316pt;width:23.137501px;" version="1.1" viewbox="0 0 23.137501 11.05" width="23.137501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-67.78,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-61.51,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> </g> </g> </svg>必须有一个非零值;不失一般性,我们<年代vg height="14.6" id="M215" style="vertical-align:-3.13504pt;width:43.262501px;" version="1.1" viewbox="0 0 43.262501 14.6" width="43.262501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6)"> <g transform="translate(72,-60.32)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.67,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,-54.34,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≠</t年代pan> <tspan style="font-size: 12.50px; " x="10.640053" y="0"> 0</t年代pan> </text> </g> </g> </svg>。为了实现试图消除,把第一个等式乘以<年代vg height="10.925" id="M216" style="vertical-align:-3.13504pt;width:19.5375px;" version="1.1" viewbox="0 0 19.5375 10.925" width="19.5375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.925)"> <g transform="translate(72,-63.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.67,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> </g> </g> </svg>和第二个方程<年代vg height="10.925" id="M217" style="vertical-align:-3.13504pt;width:19.5375px;" version="1.1" viewbox="0 0 19.5375 10.925" width="19.5375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.925)"> <g transform="translate(72,-63.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.67,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> </g> </g> </svg>,然后减去第一第二。与<年代pan class="equation" id="EEq2.48"> <svg height="70.737503" id="M218" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 70.737503" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,70.7375)"> <g transform="translate(72,-15.41)"> <text transform="matrix(1,0,0,-1,126.47,40.58)"> <tspan style="font-size: 12.50px; " x="24.219999" y="-22.92"> |</t年代pan> <tspan style="font-size: 12.50px; " x="24.219999" y="-12.25"> |</t年代pan> <tspan style="font-size: 12.50px; " x="24.219999" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="24.219999" y="9.0799999"> |</t年代pan> <tspan style="font-size: 12.50px; " x="24.219999" y="19.74"> |</t年代pan> <tspan style="font-size: 12.50px; " x="24.219999" y="22.91"> |</t年代pan> <tspan style="font-size: 12.50px; " x="26.719999" y="-10.63"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.165419" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,159.46,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,174.69,51.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,180.57,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,153.19,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,159.46,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,174.69,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,180.57,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,189.82,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="10.67"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="21.33"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="32"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="42.66"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="45.830002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="53.619999" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="53.619999" y="10.67"> |</t年代pan> <tspan style="font-size: 12.50px; " x="53.619999" y="21.33"> |</t年代pan> <tspan style="font-size: 12.50px; " x="53.619999" y="32"> |</t年代pan> <tspan style="font-size: 12.50px; " x="53.619999" y="42.66"> |</t年代pan> <tspan style="font-size: 12.50px; " x="53.619999" y="45.830002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="56.119999" y="12.29"> </t年代pan> <tspan style="font-size: 12.50px; " x="4.5799999" y="22.92"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="29.711029" y="22.92"> </t年代pan> <tspan style="font-size: 12.50px; " x="41.576378" y="22.92"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,252.21,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,267.44,51.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,273.32,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,245.94,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,252.21,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,267.44,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,273.32,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,282.57,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="10.67"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="21.33"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="32"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="42.66"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="45.830002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="4.5799999" y="22.92"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="175.92" y="22.92"> (</t年代pan> <tspan style="font-size: 12.50px; " x="180.0835" y="22.92"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="186.33499" y="22.92"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="189.46075" y="22.92"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="195.71225" y="22.92"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="201.96375" y="22.92"> )</t年代pan> </text> </g> </g> </svg></span>因此我们可以把结果简洁<年代pan class="equation" id="EEq2.49"> <svg height="16.5375" id="M219" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 16.5375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,104,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.7020884" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,118.9,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,125.86,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.745838" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,166.82,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,173.77,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.716271" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="27.744158" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="36.308712" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,216.37,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,225.62,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,232.56,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,239.51,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,272.15,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,281.4,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,288.34,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,295.3,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="14.315935" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="163.19" y="0.63"> (</t年代pan> <tspan style="font-size: 12.50px; " x="167.3535" y="0.63"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="173.605" y="0.63"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="176.73074" y="0.63"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="182.98225" y="0.63"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="189.23375" y="0.63"> )</t年代pan> </text> </g> </g> </svg></span>从兼容性条件(<一个href="#EEq2.49">2.73</一个>),由限制的过程<年代vg height="11.325" id="M220" style="vertical-align:-0.51414pt;width:51.900002px;" version="1.1" viewbox="0 0 51.900002 11.325" width="51.900002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.325)"> <g transform="translate(72,-62.94)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.4647713" y="0"> →</t年代pan> <tspan style="font-size: 12.50px; " x="26.593882" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="35.158436" y="0"> 0</t年代pan> </text> </g> </g> </svg><span class="equation" id="EEq2.50"> <svg height="19.475" id="M221" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.475" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.475)"> <g transform="translate(72,-56.42)"> <text transform="matrix(1,0,0,-1,106.12,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.7020884" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,121.02,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,128.67,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.729734" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,154.61,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,162.96,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="20.592442" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,189.83,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,199.09,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,206.02,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,212.98,58.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,225.09,66.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,231.58,58.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> +</t年代pan> <tspan style="font-size: 12.50px; " x="19.970221" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,257.83,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,267.08,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,274.02,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,280.98,58.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,293.08,66.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,299.57,58.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.51"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="158.92" y="-2.5599999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="163.0835" y="-2.5599999"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="169.33499" y="-2.5599999"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="172.46075" y="-2.5599999"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="178.71225" y="-2.5599999"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="184.96375" y="-2.5599999"> )</t年代pan> </text> </g> </g> </svg></span>如果不仅行列式<年代vg height="10.55" id="M222" style="vertical-align:-0.0pt;width:11.325px;" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.55)"> <g transform="translate(72,-63.56)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>也是决定因素<年代vg height="10.325" id="M223" style="vertical-align:-0.0pt;width:11.625px;" version="1.1" viewbox="0 0 11.625 10.325" width="11.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vg height="10.6125" id="M224" style="vertical-align:-0.15048pt;width:11.8625px;" version="1.1" viewbox="0 0 11.8625 10.6125" width="11.8625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6125)"> <g transform="translate(72,-63.51)"> <text transform="matrix(1,0,0,-1,-71.95,63.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>都是零,那么我们必须得出结论,第二个方程的系数(<一个href="#EEq2.45">2.69</一个>)是固定的倍数的第一个方程的系数(<一个href="#EEq2.45">2.69</一个>)。在这种情况下,第二个方程是相当于第一个如果<年代vg height="14.475" id="M225" style="vertical-align:-3.13504pt;width:14.8875px;" version="1.1" viewbox="0 0 14.8875 14.475" width="14.8875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.475)"> <g transform="translate(72,-60.42)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.01,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> </g> </g> </svg>也是相同的固定的倍数<年代vg height="14.475" id="M226" style="vertical-align:-3.13504pt;width:14.8875px;" version="1.1" viewbox="0 0 14.8875 14.475" width="14.8875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.475)"> <g transform="translate(72,-60.42)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.01,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> </g> </g> </svg>,否则方程会相互矛盾。因此,<年代vg height="10.325" id="M227" style="vertical-align:-0.0pt;width:11.625px;" version="1.1" viewbox="0 0 11.625 10.325" width="11.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vg height="10.6125" id="M228" style="vertical-align:-0.15048pt;width:11.8625px;" version="1.1" viewbox="0 0 11.8625 10.6125" width="11.8625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6125)"> <g transform="translate(72,-63.51)"> <text transform="matrix(1,0,0,-1,-71.95,63.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>不能同时为零。现在我们应用Sumudu转换系统(<一个href="#EEq2.45">2.69</一个>);我们获得<年代pan class="equation" id="EEq2.51"> <svg height="50.037498" id="M229" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 50.037498" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,50.0375)"> <g transform="translate(72,-31.97)"> <text transform="matrix(1,0,0,-1,41.45,58.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,53.58,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,65.61,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,82.83,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,92.08,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.86" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,112.63,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,119.59,61.04)"> <tspan style="font-size: 12.50px; " x="28.370001" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.220001" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="17.016582" y="0"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,160.09,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,172.12,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,189.34,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,198.59,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.86" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,219.14,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,226.1,61.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="17.716751" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="29.757139" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="35.683563" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,269.51,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,276.47,61.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="17.029085" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="28.369307" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,311.12,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,320.37,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,326.58,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,334.23,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,351.85,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,361.1,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,367.3,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,372.17,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-330.72" y="26.959999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-324.87" y="24.450001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,53.58,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,65.61,36.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,82.83,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,92.08,36.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.86" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,112.63,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,119.59,36.59)"> <tspan style="font-size: 12.50px; " x="28.370001" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.220001" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="17.016582" y="0"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,160.09,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,172.12,36.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,189.34,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,198.59,36.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.86" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,219.14,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,226.1,36.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="17.716751" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="29.757139" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="35.683563" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,269.51,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,276.47,36.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="17.029085" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="28.369307" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,311.12,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,320.37,36.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,326.58,41.59)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,334.23,36.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,351.85,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,361.1,36.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,367.3,41.59)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,372.17,36.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="86.32" y="-12.28"> (</t年代pan> <tspan style="font-size: 12.50px; " x="90.483498" y="-12.28"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="96.735001" y="-12.28"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="99.860748" y="-12.28"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="106.11225" y="-12.28"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="112.36375" y="-12.28"> )</t年代pan> </text> </g> </g> </svg></span>(<一个href="#EEq2.46">2.70</一个>)和(<一个href="#EEq2.48">2.72</一个>),我们引入符号的三个决定因素的系数矩阵(<一个href="#EEq2.45">2.69</一个>),如下:<年代pan class="equation" id="EEq2.52"> <svg height="70.737503" id="M230" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 70.737503" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,70.7375)"> <g transform="translate(72,-15.41)"> <text transform="matrix(1,0,0,-1,79.05,40.58)"> <tspan style="font-size: 12.50px; " x="25.379999" y="-22.92"> |</t年代pan> <tspan style="font-size: 12.50px; " x="25.379999" y="-12.25"> |</t年代pan> <tspan style="font-size: 12.50px; " x="25.379999" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="25.379999" y="9.0799999"> |</t年代pan> <tspan style="font-size: 12.50px; " x="25.379999" y="19.74"> |</t年代pan> <tspan style="font-size: 12.50px; " x="25.379999" y="22.91"> |</t年代pan> <tspan style="font-size: 12.50px; " x="27.889999" y="-10.63"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,112.81,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,128.04,51.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,134.32,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,106.94,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,112.81,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,128.04,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,134.32,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,143.57,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="10.67"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="21.33"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="32"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="42.66"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="45.830002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="54.150002" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="54.150002" y="10.67"> |</t年代pan> <tspan style="font-size: 12.50px; " x="54.150002" y="21.33"> |</t年代pan> <tspan style="font-size: 12.50px; " x="54.150002" y="32"> |</t年代pan> <tspan style="font-size: 12.50px; " x="54.150002" y="42.66"> |</t年代pan> <tspan style="font-size: 12.50px; " x="54.150002" y="45.830002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="56.650002" y="12.29"> </t年代pan> <tspan style="font-size: 12.50px; " x="4.5799999" y="22.92"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="29.711029" y="22.92"> </t年代pan> <tspan style="font-size: 12.50px; " x="42.114006" y="22.92"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,206.1,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,221.33,51.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,227.21,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,200.22,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,206.1,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,221.33,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,227.21,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,236.46,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="10.67"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="21.33"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="32"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="42.66"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="45.830002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="54.400002" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="54.400002" y="10.67"> |</t年代pan> <tspan style="font-size: 12.50px; " x="54.400002" y="21.33"> |</t年代pan> <tspan style="font-size: 12.50px; " x="54.400002" y="32"> |</t年代pan> <tspan style="font-size: 12.50px; " x="54.400002" y="42.66"> |</t年代pan> <tspan style="font-size: 12.50px; " x="54.400002" y="45.830002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="56.900002" y="12.29"> </t年代pan> <tspan style="font-size: 12.50px; " x="4.5799999" y="22.92"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="29.711029" y="22.92"> </t年代pan> <tspan style="font-size: 12.50px; " x="42.364067" y="22.92"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,299.64,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,314.87,51.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,320.74,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,293.36,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,299.64,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,314.87,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,320.74,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,329.99,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="10.67"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="21.33"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="32"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="42.66"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="45.830002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="4.5900002" y="22.92"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="128.5" y="22.92"> (</t年代pan> <tspan style="font-size: 12.50px; " x="132.6635" y="22.92"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="138.91499" y="22.92"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="142.04076" y="22.92"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="148.29225" y="22.92"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="154.54375" y="22.92"> )</t年代pan> </text> </g> </g> </svg></span>使用的符号(<一个href="#EEq2.52">2.76</一个>),我们得到<年代pan class="equation" id="EEq2.53"> <svg height="16.5375" id="M231" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 16.5375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,146.87,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Δ</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.266163" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.192585" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="28.831919" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="40.872307" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="45.035805" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="56.200985" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="67.541206" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="77.606117" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="84.545288" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="95.89801" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="107.60081" y="0"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="113.95234" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="119.87876" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="311.62" y="0.63"> (</t年代pan> <tspan style="font-size: 12.50px; " x="315.78351" y="0.63"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="322.035" y="0.63"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="325.16074" y="0.63"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="331.41226" y="0.63"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="337.66376" y="0.63"> )</t年代pan> </text> </g> </g> </svg></span>然后(<一个href="#EEq2.53">2.77</一个>),<gydF4y2Ba年代pan class="equation" id="eq27"> <svg height="70.737503" id="M232" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 70.737503" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,70.7375)"> <g transform="translate(72,-15.41)"> <text transform="matrix(1,0,0,-1,50.5,40.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Δ</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.266163" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.192585" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="27.444084" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,84.64,37.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,91.6,40.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="29.76" y="-22.91"> |</t年代pan> <tspan style="font-size: 12.50px; " x="29.76" y="-12.24"> |</t年代pan> <tspan style="font-size: 12.50px; " x="29.76" y="-1.58"> |</t年代pan> <tspan style="font-size: 12.50px; " x="29.76" y="9.0900002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="29.76" y="19.75"> |</t年代pan> <tspan style="font-size: 12.50px; " x="29.76" y="22.92"> |</t年代pan> <tspan style="font-size: 12.50px; " x="4.1599998" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.086422" y="0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="17.725756" y="0.0099999998"> =</t年代pan> <tspan style="font-size: 12.50px; " x="32.259998" y="-10.62"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.18642" y="-10.62"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,137.52,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,144.48,51.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,170.98,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,183.01,51.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,200.23,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,209.48,51.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="-85.620003" y="25.01"> </t年代pan> <tspan style="font-size: 12.50px; " x="-79.693581" y="25.01"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,137.52,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,144.48,26.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,170.98,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,183.01,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,200.23,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,209.48,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="-37.299999"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="-26.629999"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="-15.97"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="-5.3000002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="5.3600001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="8.5299997"> |</t年代pan> <tspan style="font-size: 12.50px; " x="11.21" y="-14.38"> +</t年代pan> <tspan style="font-size: 12.50px; " x="22.549999" y="-37.299999"> |</t年代pan> <tspan style="font-size: 12.50px; " x="22.549999" y="-26.629999"> |</t年代pan> <tspan style="font-size: 12.50px; " x="22.549999" y="-15.97"> |</t年代pan> <tspan style="font-size: 12.50px; " x="22.549999" y="-5.3000002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="22.549999" y="5.3600001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="22.549999" y="8.5299997"> |</t年代pan> <tspan style="font-size: 12.50px; " x="25.049999" y="-25.01"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,240.81,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,250.06,51.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,256.26,56.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,263.91,51.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,281.53,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,290.78,51.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,296.98,56.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,307.84,51.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,314.11,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,326.14,51.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,343.36,48.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,352.61,51.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="-118.08" y="25.01"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,240.81,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,250.06,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,256.26,31.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,263.91,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,281.53,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,290.78,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,296.98,31.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,307.84,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,314.11,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,326.14,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,343.36,23.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,352.61,26.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="-37.299999"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="-26.629999"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="-15.97"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="-5.3000002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="5.3600001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="8.5299997"> |</t年代pan> <tspan style="font-size: 12.50px; " x="10.51" y="-14.38"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="105.88" y="-14.38"> (</t年代pan> <tspan style="font-size: 12.50px; " x="110.0435" y="-14.38"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="116.295" y="-14.38"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="119.42075" y="-14.38"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="125.67225" y="-14.38"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="131.92375" y="-14.38"> )</t年代pan> </text> </g> </g> </svg></span>自<年代vg height="10.9125" id="M233" style="vertical-align:-0.17555pt;width:38.537498px;" version="1.1" viewbox="0 0 38.537498 10.9125" width="38.537498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.427982" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="24.46837" y="0"> 0</t年代pan> </text> </g> </g> </svg>,然后<年代pan class="equation" id="EEq2.54"> <svg height="50.037498" id="M234" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 50.037498" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,50.0375)"> <g transform="translate(72,-31.97)"> <text transform="matrix(1,0,0,-1,26.2,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Δ</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.266163" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.192585" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="27.444084" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,60.34,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,67.29,61.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="17.729254" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="29.757139" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="35.683563" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,110.71,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,117.67,61.04)"> <tspan style="font-size: 12.50px; " x="16.34" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.190001" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,146.14,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,158.16,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,175.38,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,184.63,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.56" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="25.900221" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="31.826643" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,224.19,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,231.15,61.04)"> <tspan style="font-size: 12.50px; " x="16.33" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.18" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,259.61,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,271.64,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,288.86,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,298.11,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.56" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.887718" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.277229" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,338.6,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,346.25,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.517424" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,372.97,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,377.85,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-351.64999" y="24.450001"> Δ</t年代pan> <tspan style="font-size: 12.50px; " x="-340.54001" y="24.440001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-336.3765" y="24.440001"> </t年代pan> <tspan style="font-size: 12.50px; " x="-330.45007" y="24.440001"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-324.21109" y="24.440001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,60.34,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,67.29,36.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="17.729254" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="29.757139" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="38.321693" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.248116" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,119.28,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,126.24,36.59)"> <tspan style="font-size: 12.50px; " x="16.33" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.18" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,154.7,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,166.73,36.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,183.95,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,193.2,36.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.56" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.887718" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="31.81414" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,232.75,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,239.71,36.59)"> <tspan style="font-size: 12.50px; " x="16.34" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.190001" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,268.18,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,280.2,36.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,297.42,33.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,306.67,36.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.56" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="25.900221" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.60231" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,347.48,41.59)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,355.13,36.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.21759" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,382.55,41.59)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,387.43,36.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="71.059998" y="-12.28"> (</t年代pan> <tspan style="font-size: 12.50px; " x="75.223495" y="-12.28"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="81.474998" y="-12.28"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="84.600746" y="-12.28"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="90.852249" y="-12.28"> 9</t年代pan> <tspan style="font-size: 12.50px; " x="97.103752" y="-12.28"> )</t年代pan> </text> </g> </g> </svg></span>为简便起见,我们组<年代pan class="equation" id="eq28"> <svg height="16.5375" id="M235" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 16.5375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,176.84,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.165179" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="22.5054" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="35.858604" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="47.898994" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="59.939999" y="0.63"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="281.64999" y="0.63"> (</t年代pan> <tspan style="font-size: 12.50px; " x="285.81351" y="0.63"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="292.065" y="0.63"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="295.19073" y="0.63"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="301.44226" y="0.63"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="307.69376" y="0.63"> )</t年代pan> </text> </g> </g> </svg></span>我们认为在这里<年代vg height="13.125" id="M236" style="vertical-align:-1.95624pt;width:38.900002px;" version="1.1" viewbox="0 0 38.900002 13.125" width="38.900002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.125)"> <g transform="translate(72,-61.5)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.115887" y="0"> ≠</t年代pan> <tspan style="font-size: 12.50px; " x="24.768442" y="0"> 0</t年代pan> </text> </g> </g> </svg>,也就是说,<年代vg height="13.45" id="M237" style="vertical-align:-2.21957pt;width:29.225px;" version="1.1" viewbox="0 0 29.225 13.45" width="29.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Δ</t年代pan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.190665" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.117086" y="0"> )</t年代pan> </text> </g> </g> </svg>是一个线性函数;我们分(<一个href="#EEq2.54">2.79</一个>)系数<年代vg height="13.45" id="M238" style="vertical-align:-2.21957pt;width:29.225px;" version="1.1" viewbox="0 0 29.225 13.45" width="29.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Δ</t年代pan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.190665" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.117086" y="0"> )</t年代pan> </text> </g> </g> </svg>;然后我们有<年代pan class="equation" id="EEq2.55"> <svg height="87.974998" id="M239" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 87.974998" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,87.975)"> <g transform="translate(72,-1.62)"> <text transform="matrix(1,0,0,-1,29.34,50.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,36.03,47.43)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,42.99,50.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="17.716751" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="30.959999" y="-10.57"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.886421" y="-10.57"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,87.6,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,94.56,61.14)"> <tspan style="font-size: 12.50px; " x="16.34" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.190001" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,123.02,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,135.05,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,152.27,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,161.52,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="2.51"> </t年代pan> </text> <g> <path d="m 73.95,53.68 99.35,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,103.68,41.81)"> <tspan style="font-size: 12.50px; " x="73.599998" y="-8.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.690785" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.958149" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="86.129997" y="-19.32"> </t年代pan> <tspan style="font-size: 12.50px; " x="92.056419" y="-19.32"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,203.47,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,210.43,61.14)"> <tspan style="font-size: 12.50px; " x="16.33" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.18" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,238.89,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,250.92,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,268.14,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,277.39,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="2.51"> </t年代pan> </text> <g> <path d="m 189.81,53.68 99.36,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,219.55,41.81)"> <tspan style="font-size: 12.50px; " x="73.589996" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.678282" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.958149" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="96.339996" y="-19.1"> </t年代pan> <tspan style="font-size: 12.50px; " x="104.72952" y="-19.1"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,330.48,65.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 1</t年代pan> </text> <g> <path d="m 305.68,53.68 39.89,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,305.68,41.81)"> <tspan style="font-size: 12.50px; " x="43.860001" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.690785" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.958149" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="66.220001" y="-19.1"> </t年代pan> <tspan style="font-size: 12.50px; " x="75.397202" y="-19.1"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,387.28,65.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 2</t年代pan> </text> <g> <path d="m 362.08,53.68 39.89,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,362.08,41.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.690785" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.958149" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="41.09" y="-11.69"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="96.410004" y="-11.69"> (</t年代pan> <tspan style="font-size: 12.50px; " x="100.5735" y="-11.69"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="106.825" y="-11.69"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="109.95075" y="-11.69"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="116.20225" y="-11.69"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="122.45375" y="-11.69"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-360.19" y="30.879999"> Δ</t年代pan> <tspan style="font-size: 12.50px; " x="-349.08734" y="30.879999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-344.92383" y="30.879999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-338.99741" y="30.879999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-332.74591" y="30.879999"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,36.03,7.81)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,42.99,10.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="17.716751" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="29.757139" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="39.52" y="-10.57"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.446423" y="-10.57"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,96.17,18.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,103.12,21.52)"> <tspan style="font-size: 12.50px; " x="16.34" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.190001" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,131.59,18.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,143.62,21.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,160.84,18.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,170.09,21.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="2.51"> </t年代pan> </text> <g> <path d="m 82.51,14.06 99.36,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,112.24,2.18)"> <tspan style="font-size: 12.50px; " x="73.599998" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.690785" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.958149" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="86.139999" y="-19.33"> </t年代pan> <tspan style="font-size: 12.50px; " x="92.066422" y="-19.33"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,212.03,18.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,218.99,21.52)"> <tspan style="font-size: 12.50px; " x="16.34" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.190001" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,247.46,18.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,259.48,21.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,276.7,18.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,285.95,21.51)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="2.51"> </t年代pan> </text> <g> <path d="m 198.38,14.06 99.35,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,228.11,2.18)"> <tspan style="font-size: 12.50px; " x="73.599998" y="-8.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.690785" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.958149" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="96.190002" y="-19.110001"> </t年代pan> <tspan style="font-size: 12.50px; " x="104.89209" y="-19.110001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,339.2,26.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 1</t年代pan> </text> <g> <path d="m 314.24,14.06 39.89,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,314.24,2.18)"> <tspan style="font-size: 12.50px; " x="43.869999" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.690785" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.958149" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="65.879997" y="-19.110001"> </t年代pan> <tspan style="font-size: 12.50px; " x="75.75737" y="-19.110001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,396.2,26.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 2</t年代pan> </text> <g> <path d="m 370.65,14.06 39.89,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,370.65,2.18)"> <tspan style="font-size: 12.50px; " x="41.080002" y="-8.75"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.690785" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.958149" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="87.839996" y="-11.69"> (</t年代pan> <tspan style="font-size: 12.50px; " x="92.003502" y="-11.69"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="98.254997" y="-11.69"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="101.38075" y="-11.69"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="107.63225" y="-11.69"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="113.88375" y="-11.69"> )</t年代pan> </text> </g> </g> </svg></span>第一项(<一个href="#EEq2.55">2.81</一个>)可以修改如下:<年代pan class="equation" id="eq29"> <svg height="42.1875" id="M241" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 42.1875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,42.1875)"> <g transform="translate(72,-38.25)"> <text transform="matrix(1,0,0,-1,12.7,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,26.36,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,33.31,61.14)"> <tspan style="font-size: 12.50px; " x="16.34" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.190001" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,61.78,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,73.81,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,91.03,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,100.28,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="2.51"> </t年代pan> </text> <g> <path d="m 12.7,53.68 99.36,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,42.43,41.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.690785" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.958149" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="74.290001" y="-8.75"> =</t年代pan> <tspan style="font-size: 12.50px; " x="86.330391" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="92.256813" y="-8.75"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,142.42,47.43)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,149.37,50.56)"> <tspan style="font-size: 12.50px; " x="16.34" y="7.3299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.889999" y="-9.1400003"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,179.14,56.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <g> <path d="m 173.26,53.68 15.13,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,175.98,41.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="16.379999" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="55.830002" y="-16"> Γ</t年代pan> </text> <g> <path d="m 204.9,53.68 61.15,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,204.9,41.81)"> <tspan style="font-size: 12.50px; " x="62.349998" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="148.86" y="-17.889999"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="20.367388" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="24.530886" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.458027" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="36.933861" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="48.974251" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="55.213249" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="70.779999" y="-8.75"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="90.122139" y="-8.75"> w</t年代pan> <tspan style="font-size: 12.50px; " x="99.149307" y="-8.75"> h</t年代pan> <tspan style="font-size: 12.50px; " x="105.40081" y="-8.75"> e</t年代pan> <tspan style="font-size: 12.50px; " x="110.95214" y="-8.75"> r</t年代pan> <tspan style="font-size: 12.50px; " x="115.10313" y="-8.75"> e</t年代pan> <tspan style="font-size: 12.50px; " x="124.80547" y="-8.75"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="135.62056" y="-8.75"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,360.03,56.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <g> <path d="m 353.76,53.68 15.52,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,355.5,41.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.76" y="-8.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="30.299999" y="-17.889999"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,391.67,56.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <g> <path d="m 385.8,53.68 15.12,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,388.52,41.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.6" y="-8.75"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="69.970001" y="-10.19"> (</t年代pan> <tspan style="font-size: 12.50px; " x="74.133499" y="-10.19"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="80.385002" y="-10.19"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="83.51075" y="-10.19"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="89.762253" y="-10.19"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="96.013748" y="-10.19"> )</t年代pan> </text> </g> </g> </svg></span>上面的逆Sumudu变换函数是由<年代pan class="equation" id="eq30"> <svg height="38.575001" id="M242" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.575001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,38.575)"> <g transform="translate(72,-41.14)"> <text transform="matrix(1,0,0,-1,30.24,53.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,39.24,58.52)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,52.19,46.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.3499999" y="-7.3299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.276422" y="-7.3299999"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,72.2,50.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,79.16,53.45)"> <tspan style="font-size: 12.50px; " x="16.33" y="7.3299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.879999" y="-9.1400003"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,108.92,59.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <g> <path d="m 103.04,56.57 15.13,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,105.76,44.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="16.379999" y="-8.7600002"> +</t年代pan> <tspan style="font-size: 12.50px; " x="55.700001" y="-16.01"> Γ</t年代pan> </text> <g> <path d="m 134.68,56.57 60.9,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,134.68,44.69)"> <tspan style="font-size: 12.50px; " x="109.61" y="-17.9"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.7771063" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="20.117327" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="24.280827" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.20797" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="36.683804" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="48.72419" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="54.975693" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="62.099998" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="68.451523" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="78.269997" y="-8.7600002"> =</t年代pan> <tspan style="font-size: 12.50px; " x="90.310387" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="99.087494" y="-8.7600002"> ∗</t年代pan> </text> <text transform="matrix(1,0,0,-1,250.16,59.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <g> <path d="m 244.29,56.57 15.12,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,247.01,44.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.6" y="-8.7600002"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,267.55,50.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,274.51,53.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.0036" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,307.81,50.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,314.76,53.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="24.330837" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="31.670099" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,352,58.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="8.9095364" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.158464" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="17.59152" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="25.232016" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="28.146433" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,383.39,53.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="75.099998" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="79.263496" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="85.514999" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="88.640747" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="94.89225" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="101.14375" y="0"> )</t年代pan> </text> </g> </g> </svg></span>其余的(<一个href="#EEq2.55">2.81</一个>)也同样修改。然后我们获得的解决方案(<一个href="#EEq2.55">2.81</一个>),<gydF4y2Ba年代pan class="equation" id="eq31"> <svg height="74.587502" id="M243" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 74.587502" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,74.5875)"> <g transform="translate(72,-12.33)"> <text transform="matrix(1,0,0,-1,21.47,54.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,27.67,51.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,34.63,54.46)"> <tspan style="font-size: 12.50px; " x="47.040001" y="-9.1400003"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.703768" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="27.744158" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.521263" y="0"> ∗</t年代pan> </text> <text transform="matrix(1,0,0,-1,87.55,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <g> <path d="m 81.67,57.58 15.13,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,84.4,45.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.6" y="-8.75"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,104.93,51.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,111.89,54.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,145.19,51.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,152.15,54.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="24.330837" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="31.670099" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,189.39,59.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="8.9095364" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.158464" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="17.59152" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="25.232016" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="28.146433" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,223.55,54.46)"> <tspan style="font-size: 12.50px; " x="30.639999" y="-9.1400003"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.117327" y="0"> ∗</t年代pan> </text> <text transform="matrix(1,0,0,-1,260.07,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <g> <path d="m 254.19,57.58 15.13,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,256.92,45.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.59" y="-8.75"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,277.45,51.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,284.41,54.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,317.71,51.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,324.67,54.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="24.330837" y="0"> Ψ</t年代pan> <tspan style="font-size: 12.50px; " x="33.658077" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,363.9,59.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="8.9095364" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.158464" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="17.59152" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="25.232016" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="28.146433" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,59.61,21.14)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="13.86" y="-7.25"> </t年代pan> </text> <g> <path d="m 72.15,24.26 12.04,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,72.15,12.38)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.24" y="-8.7600002"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,91.59,26.14)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,96.46,21.14)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,102.02,26.14)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="8.9095364" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.158464" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="17.59152" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="25.232016" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="28.146433" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,136.19,21.14)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="13.84" y="-7.25"> </t年代pan> </text> <g> <path d="m 148.73,24.26 12.04,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,148.73,12.38)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.23" y="-8.7600002"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,168.16,26.14)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,173.04,21.14)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,178.6,26.14)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="8.9095364" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.158464" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="17.59152" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="25.232016" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="28.146433" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,209.99,21.14)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="248.5" y="-17.9"> (</t年代pan> <tspan style="font-size: 12.50px; " x="252.6635" y="-17.9"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="258.91501" y="-17.9"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="262.04074" y="-17.9"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="268.29224" y="-17.9"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="274.54376" y="-17.9"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vg height="14.8125" id="M244" style="vertical-align:-3.13504pt;width:141.45px;" version="1.1" viewbox="0 0 141.45 14.8125" width="141.45" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.8125)"> <g transform="translate(72,-60.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Ψ</t年代pan> <tspan style="font-size: 12.50px; " x="12.790569" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="24.830957" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="28.994457" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-36.67,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,-27.42,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.390953" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="21.330118" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="32.670338" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="36.833839" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,15.29,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,24.54,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.402976" y="0"> )</t年代pan> </text> </g> </g> </svg>;同样可以找到的解决方案(<一个href="#EEq2.55">2.82</一个>)<gydF4y2Ba年代pan class="equation" id="eq32"> <svg height="74.349998" id="M245" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 74.349998" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,74.35)"> <g transform="translate(72,-12.52)"> <text transform="matrix(1,0,0,-1,16.1,54.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,22.3,51.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,29.26,54.46)"> <tspan style="font-size: 12.50px; " x="55.610001" y="-9.1400003"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.703768" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="27.744158" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="36.308712" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.085819" y="0"> ∗</t年代pan> </text> <text transform="matrix(1,0,0,-1,90.74,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <g> <path d="m 84.87,57.58 15.12,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,87.59,45.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.6" y="-8.75"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,108.13,51.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,115.09,54.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,148.39,51.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,155.35,54.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.0036" y="0"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="24.330837" y="0"> Φ</t年代pan> <tspan style="font-size: 12.50px; " x="33.870628" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,194.79,59.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="8.9095364" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.158464" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="17.59152" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="25.232016" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="28.146433" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,228.95,54.46)"> <tspan style="font-size: 12.50px; " x="30.639999" y="-9.1400003"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.117327" y="0"> ∗</t年代pan> </text> <text transform="matrix(1,0,0,-1,265.46,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <g> <path d="m 259.59,57.58 15.12,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,262.31,45.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.6" y="-8.75"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,282.85,51.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,289.81,54.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.0036" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,323.11,51.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,330.07,54.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.0036" y="0"> ∗</t年代pan> <tspan style="font-size: 12.50px; " x="24.330837" y="0"> Ω</t年代pan> <tspan style="font-size: 12.50px; " x="33.633072" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,369.27,59.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="8.9095364" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.158464" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="17.59152" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="25.232016" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="28.146433" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,54.24,21.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="13.96" y="-7.2600002"> </t年代pan> </text> <g> <path d="m 66.78,24.45 12.04,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,66.78,12.57)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.23" y="-8.75"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,86.22,26.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,91.09,21.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,96.65,26.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="8.9095364" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.158464" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="17.59152" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="25.232016" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="28.146433" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,130.82,21.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="13.52" y="-7.2600002"> </t年代pan> </text> <g> <path d="m 143.36,24.45 12.04,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,143.36,12.57)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.23" y="-8.75"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,162.79,26.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.3400002"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,167.67,21.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,173.23,26.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="8.9095364" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.158464" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="17.59152" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="25.232016" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="28.146433" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,204.62,21.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="253.87" y="-17.809999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="258.03351" y="-17.809999"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="264.285" y="-17.809999"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="267.41074" y="-17.809999"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="273.66226" y="-17.809999"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="279.91376" y="-17.809999"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vg height="14.6" id="M246" style="vertical-align:-3.13504pt;width:141.71249px;" version="1.1" viewbox="0 0 141.71249 14.6" width="141.71249" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6)"> <g transform="translate(72,-60.32)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Φ</t年代pan> <tspan style="font-size: 12.50px; " x="13.00312" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="25.043509" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="29.207008" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-36.86,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,-27.61,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.390953" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="21.330118" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="32.670338" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="36.833839" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,15.51,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,24.76,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.402976" y="0"> )</t年代pan> </text> </g> </g> </svg>和<年代vg height="14.6" id="M247" style="vertical-align:-3.13504pt;width:141.425px;" version="1.1" viewbox="0 0 141.425 14.6" width="141.425" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6)"> <g transform="translate(72,-60.32)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Ω</t年代pan> <tspan style="font-size: 12.50px; " x="12.765563" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="24.805952" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="28.969452" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-37.1,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,-27.85,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.390953" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="21.330118" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="32.670338" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="36.833839" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,15.27,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,24.52,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.402976" y="0"> )</t年代pan> </text> </g> </g> </svg>。</gydF4y2Bap> <h4 id="acknowledgments">确认</h4><gydF4y2Bap>作者表达自己真诚的感谢裁判(s)仔细阅读论文的和有用的建议。作者也欣然承认,这项研究部分由科技部支持,技术和创新(MOSTI),马来西亚在该项目批准号06-01-04-SF1050。</gydF4y2Bap> </div> </div> <div class="ArticleReferences_xmlContent__TZqgx"> <h4 class="ArticleReferences_references__dHBcT" id="references">引用</h4><olcl一个年代年代="ArticleReferences_orderedReferences__K1TM4"> <li class="ArticleReferences_articleReference__7aCxy" id="B2"> <div class="referenceContent"> <p class="referenceText">洛杉矶管道,<我>矩阵方法工程</我>新世纪,恩格尔伍德悬崖,新泽西,美国,1963年。</gydF4y2Bap> </div></li> <li class="ArticleReferences_articleReference__7aCxy" id="B4"> <div class="referenceContent"> <p class="referenceText">m . l .代替“评估瞬态响应的新方法,”<我>我EEE学报》</我>,54卷,不。1、20、1966页。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://doi.org/10.1109/PROC.1966.4569" target="_blank" rel="noreferrer">出版商的网站</一个><年代pan class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=A%20novel%20method%20of%20evaluating%20transient%20response&author=M.%20L.%20Lieu&publication_year=1966" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> <li class="ArticleReferences_articleReference__7aCxy" id="B3"> <div class="referenceContent"> <p class="referenceText">e . c . Pestel和f . a . Leckie<我>矩阵方法在弹性力学</我>美国麦格劳-希尔,纽约,纽约,1963年。</gydF4y2Bap> </div></li> <li class="ArticleReferences_articleReference__7aCxy" id="B17"> <div class="referenceContent"> <p class="referenceText">g·k . Watugala”Sumudu改变一个新的积分变换解微分方程和控制工程问题,“<我>数学工程行业</我>》第六卷,没有。4、319 - 329年,1998页。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://scholar.google.com/scholar_lookup?title=Sumudu%20transform%E2%80%94a%20new%20integral%20transform%20to%20solve%20differential%20equations%20and%20control%20engineering%20problems&author=G.%20K.%20Watugala&publication_year=1998" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> <li class="ArticleReferences_articleReference__7aCxy" id="B7"> <div class="referenceContent"> <p class="referenceText">h . Eltayeb和a . Kılıcman”在一些应用一个新的积分变换,“<我>国际期刊的数学分析</我>,4卷,不。3、123 - 132年,2010页。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://scholar.google.com/scholar_lookup?title=On%20some%20applications%20of%20a%20new%20integral%20transform&author=H.%20Eltayeb&author=A.%20K%C4%B1l%C4%B1%C3%A7man&publication_year=2010" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> <li class="ArticleReferences_articleReference__7aCxy" id="B14"> <div class="referenceContent"> <p class="referenceText">a . Kılıcman和h·e·Gadain”应用程序的双重拉普拉斯变换和双Sumudu变换,“<我>Lobachevskii数学杂志</我>,30卷,不。3、214 - 223年,2009页。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://doi.org/10.1134/S1995080209030044" target="_blank" rel="noreferrer">出版商的网站</一个><年代pan class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=An%20application%20of%20double%20Laplace%20transform%20and%20double%20Sumudu%20transform&author=A.%20K%C4%B1l%C4%B1%C3%A7man&author=H.%20E.%20Gadain&publication_year=2009" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> <li class="ArticleReferences_articleReference__7aCxy" id="B5"> <div class="referenceContent"> <p class="referenceText">f·b·m·Belgacem”边值问题与不确定重量和应用程序”,<我>国际期刊的非线性分析在工程系统的问题</我>,10卷,不。2,51-58,1999页。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://scholar.google.com/scholar_lookup?title=Boundary%20value%20problem%20with%20indefinite%20weight%20and%20applications&author=F.%20B.%20M.%20Belgacem&publication_year=1999" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> <li class="ArticleReferences_articleReference__7aCxy" id="B8"> <div class="referenceContent"> <p class="referenceText">h . Eltayeb A Kılıcman b·费雪,“新的积分变换和分布有关,”<我>积分变换和特殊功能</我>,21卷,不。5 - 6,367 - 379年,2010页。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://doi.org/10.1080/10652460903335061" target="_blank" rel="noreferrer">出版商的网站</一个><年代pan class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=A%20new%20integral%20transform%20and%20associated%20distributions&author=H.%20Eltayeb&author=A.%20K%C4%B1l%C4%B1%C3%A7man&author=B.%20Fisher&publication_year=2010" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> <li class="ArticleReferences_articleReference__7aCxy" id="B10"> <div class="referenceContent"> <p class="referenceText">A . Kılıcman和h Eltayeb”,注意积分变换和偏微分方程”<我>应用数学科学</我>,4卷,不。3、109 - 118年,2010页。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://scholar.google.com/scholar_lookup?title=A%20note%20on%20integral%20transforms%20and%20partial%20differential%20equations&author=A.%20K%C4%B1l%C4%B1%C3%A7man&author=H.%20Eltayeb&publication_year=2010" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> <li class="ArticleReferences_articleReference__7aCxy" id="B11"> <div class="referenceContent"> <p class="referenceText">a . Kılıcman和h . Eltayeb拉普拉斯和Sumudu转换的应用。”<我>富兰克林研究所杂志》上</我>,卷347,不。5,848 - 862年,2010页。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://doi.org/10.1016/j.jfranklin.2010.03.008" target="_blank" rel="noreferrer">出版商的网站</一个><年代pan class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=On%20the%20applications%20of%20Laplace%20and%20Sumudu%20transforms&author=A.%20K%C4%B1l%C4%B1%C3%A7man&author=H.%20Eltayeb&publication_year=2010" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> <li class="ArticleReferences_articleReference__7aCxy" id="B12"> <div class="referenceContent"> <p class="referenceText">a . Kılıcman h . Eltayeb, r·p·阿加瓦尔”Sumudu变换和微分方程组。”<我>抽象和应用分析</我>我D 598702条,卷。2010年,11页,2010年。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://doi.org/10.1155/2010/598702" target="_blank" rel="noreferrer">出版商的网站</一个><年代pan class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=On%20Sumudu%20transform%20and%20system%20of%20differential%20equations&author=A.%20K%C4%B1l%C4%B1%C3%A7man&author=H.%20Eltayeb&author=R.%20P.%20Agarwal&publication_year=2010" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> <li class="ArticleReferences_articleReference__7aCxy" id="B16"> <div class="referenceContent"> <p class="referenceText">z Trzaska”,一个高效的算法部分分式线性矩阵的铅笔逆,“<我>富兰克林研究所杂志》上</我>,卷324,不。3、465 - 477年,1987页。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://doi.org/10.1016/0016-0032(87)90055-X" target="_blank" rel="noreferrer">出版商的网站</一个><年代pan class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=An%20efficient%20algorithm%20for%20partial%20fraction%20expansion%20of%20the%20linear%20matrix%20pencil%20inverse&author=Z.%20Trzaska&publication_year=1987" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> <li class="ArticleReferences_articleReference__7aCxy" id="B18"> <div class="referenceContent"> <p class="referenceText">j .张“Sumudu解微分方程算法为基础,“<我>计算机科学杂志摩尔多瓦</我>,15卷,不。3、303 - 313年,2007页。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://scholar.google.com/scholar_lookup?title=A%20Sumudu%20based%20algorithm%20for%20solving%20differential%20equations&author=J.%20Zhang&publication_year=2007" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> <li class="ArticleReferences_articleReference__7aCxy" id="B13"> <div class="referenceContent"> <p class="referenceText">A . Kılıcman h . Eltayeb, k . A . m .:“注意在拉普拉斯和Sumudu变换之间的比较,“<我>《伊朗数学学会</我>,37卷,不。1,第141 - 131页,2011。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://scholar.google.com/scholar_lookup?title=A%20note%20on%20the%20comparison%20between%20Laplace%20and%20Sumudu%20transforms&author=A.%20K%C4%B1l%C4%B1%C3%A7man&author=H.%20Eltayeb&author=K.%20A.%20M.%20Atan&publication_year=2011" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> <li class="ArticleReferences_articleReference__7aCxy" id="B6"> <div class="referenceContent"> <p class="referenceText">m·g·m·侯赛因和f·b·m·Belgacem“瞬态解麦克斯韦方程基于Sumudu变换,“<我>在电磁学的研究进展</我>卷,74年,第289 - 273页,2007年。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://scholar.google.com/scholar_lookup?title=Transient%20solutions%20of%20Maxwell's%20equations%20based%20on%20Sumudu%20transform&author=M.%20G.%20M.%20Hussain&author=F.%20B.%20M.%20Belgacem&publication_year=2007" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> <li class="ArticleReferences_articleReference__7aCxy" id="B9"> <div class="referenceContent"> <p class="referenceText">h . Eltayeb和a . Kılıcman”双Sumudu变换和双拉普拉斯变换,”<我>马来西亚数学科学杂志》上</我>,4卷,不。1,相当于17 - 30,2010页。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://scholar.google.com/scholar_lookup?title=On%20double%20Sumudu%20transform%20and%20double%20Laplace%20transform&author=H.%20Eltayeb&author=A.%20K%C4%B1l%C4%B1%C3%A7man&publication_year=2010" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> <li class="ArticleReferences_articleReference__7aCxy" id="B15"> <div class="referenceContent"> <p class="referenceText">a . Kılıcman和h . Eltayeb新积分变换和微分方程”,<我>数学问题在工程</我>文章ID 463579卷,2010年,13页,2010。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://doi.org/10.1155/2010/463579" target="_blank" rel="noreferrer">出版商的网站</一个><年代pan class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=On%20a%20new%20integral%20transform%20and%20differential%20equations&author=A.%20K%C4%B1l%C4%B1%C3%A7man&author=H.%20Eltayeb&publication_year=2010" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> <li class="ArticleReferences_articleReference__7aCxy" id="B1"> <div class="referenceContent"> <p class="referenceText">c .硅藻土和c . van Loan”19可疑的方法计算的指数矩阵,”<我>暹罗审查</我>,20卷,不。4、801 - 836年,1978页。</gydF4y2Bap>视图:<!gydF4y2Ba-- --> <a href="https://doi.org/10.1137/1020098" target="_blank" rel="noreferrer">出版商的网站</一个><年代pan class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=Nineteen%20dubious%20ways%20to%20compute%20the%20exponential%20of%20a%20matrix&author=C.%20Moler&author=C.%20van%20Loan&publication_year=1978" target="_blank" rel="noreferrer">谷歌学术搜索</一个></d我v></li> </ol> </div> <h4 class="copyright-title" id="copyright">版权</h4><d我v class="copyright-body"> 版权©2011哈桑Eltayeb et al。这是一个开放的访问分布在条<一个rel="license" href="http://creativecommons.org/licenses/by/3.0/">知识共享归属许可</一个>,它允许无限制的使用、分配和复制在任何媒介,提供最初的工作是正确引用。</d我v> <div id="related-articles"></div> </div> </div> <div class="ant-col ThreeColumnLayout_rightColumn__8jvjD"> <div> <div> <div class="ArticleRightSection_articleRightSection__Lq9qj"> <div class="ArticleToolbar_articleToolbar__ASFyF"> <a href="https://downloads.hindawi.com/journals/aaa/2011/207930.pdf" class="ButtonGroup_buttonGroupWrapper__LPDDG" role="button" type="primary" aria-label="PDF" tabindex="0" unselectable="on" target="_blank" data-testid="download-pdf"><span 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