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<div> <div> <div id="article-table-of-contents" data-ismobile="false"> <div class="TableOfContents_tableOfContents__0jAuv"> <div class="TableOfContents_tableOfContents__title__CH9Lz"> 在这一页上</div> <a class="TableOfContents_tableOfContents__item__JJil1" href="#abstract">文摘</一个><一个class="TableOfContents_tableOfContents__item__JJil1" href="#introduction">介绍</一个><一个class="TableOfContents_tableOfContents__item__JJil1" href="#applications-and-examples">应用程序和例子</一个><一个class="TableOfContents_tableOfContents__item__JJil1" href="#acknowledgments">确认</一个><一个class="TableOfContents_tableOfContents__item__JJil1" href="#references">引用</一个><一个class="TableOfContents_tableOfContents__item__JJil1" href="#copyright">版权</一个><一个class="TableOfContents_tableOfContents__item__JJil1" href="#related-articles">相关文章</一个></div> </div> </div> </div> </div> <div class="ant-col ThreeColumnLayout_middleColumn__sbd41"> <div class="ArticleMiddleSection_articleMiddleSection__gAv9z"> <div class="articleHeader"> <div class="articleHeader__specialIssue"> <span class="articleHeader__specialIssue_tag">特殊的问题</年代p一个n> <h2 class="articleHeader__specialIssue_title">最近的进展微分和差分方程</h2> <a href="//www.newsama.com/journals/aaa/si/584187/" class="articleHeader__specialIssue_url" target="_blank" rel="noreferrer">把这个特殊的问题</一个></div> <strong>研究文章|开放获取</年代trong> <div class="articleHeader__meta"> <span>体积2011年|</年代p一个n> <span>文章的ID346745年|</年代p一个n> <span class="articleHeader__meta_doiLink"><a href="https://doi.org/10.1155/2011/346745" aria-label="Doi-link" target="_blank" rel="noreferrer">https://doi.org/10.1155/2011/346745</一个></年代p一个n> </div> <div class="simpleShowMore"> <button class="simpleShowMore__button">显示引用</button> </div> <h1 class="articleHeader__title">存在一阶中立型微分方程的非振动解的解决方案</h1> <div class="articleHeader__authors"> <span class="articleHeader__authors_author"><strong>Božena Dorociakova</年代trong><a href="//www.newsama.com/cdn-cgi/l/email-protection" aria-label="Mail Option"><span role="img" 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</svg></span></a>,<年代up>1</年代up></年代p一个n> <span class="articleHeader__authors_author">安娜Najmanova,<年代up>1</年代up></年代p一个n> <span class="articleHeader__authors_author">和鲁道夫Olach<年代up>1</年代up></年代p一个n> </div> <div class="simpleShowMore"> <button class="simpleShowMore__button">显示更多</button> </div> <div class="articleHeader__academicEditor"> <strong>学术编辑器:</年代trong> <span>约瑟夫Diblik</年代p一个n> </div> <div class="articleHeader__timeline"> <div class="articleHeader__timeline_item "> <strong>收到了</年代trong> <span>2011年1月04</年代p一个n> </div> <div class="articleHeader__timeline_item "> <strong>修改后的</年代trong> <span>2011年3月04</年代p一个n> </div> <div class="articleHeader__timeline_item "> <strong>接受</年代trong> <span>2011年4月27日</年代p一个n> </div> <div class="articleHeader__timeline_item articleHeader__timeline_item_sticky"> <strong>发表</年代trong> <span>2011年6月22日</年代p一个n> </div> </div> </div> <div class="articleBody"> <div class="xml-content"> <h4 class="header" id="abstract">文摘</h4> <p>本文包含了一些正解存在的充分条件由正上方和下方有界函数的一阶非线性中立型微分方程。这些方程也可以支持的存在正解在无穷接近零</p><年代p一个n class="end-abs"></span> <h4 id="introduction">1。介绍</h4> <p>本文涉及的存在正解的中立型微分方程的形式<年代p一个n class="equation" id="EEq1"> <svg height="30.762501" id="M1" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 30.762501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,30.7625)"> <g transform="translate(72,-47.39)"> <text transform="matrix(1,0,0,-1,75.53,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <g> <path d="m 73.95,59.47 10.57,0" 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,-1,73.95,47.59)"> <tspan style="font-size: 12.50px; " x="13.85" y="-8.7200003"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="117.74" y="-8.7200003"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.01" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="26.962149" y="-8.7600002"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.125647" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="35.039085" y="-8.7600002"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.978252" y="-8.7600002"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.330975" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="61.68298" y="-8.7600002"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.846481" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="69.759918" y="-8.7600002"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.011414" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="84.976067" y="-8.7600002"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="89.139565" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="95.828674" y="-8.7600002"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="107.16889" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="113.57043" y="-8.7600002"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="125.38" y="-8.7600002"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="137.40788" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="145.60985" y="-8.7600002"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="149.77335" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="153.6868" y="-8.7600002"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="159.9258" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="170.45331" y="-8.7600002"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="174.61682" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="183.58147" y="-8.7600002"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="187.74496" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="194.43407" y="-8.7600002"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="205.77429" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="213.11356" y="-8.7600002"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="217.27705" y="-8.7600002"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="223.52855" y="-8.7600002"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="238.69469" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="246.08397" y="-8.7600002"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="258.12436" y="-8.7600002"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,335.99,53.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,340.87,56.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="123.88" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="128.0435" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="134.295" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="137.42075" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="143.67226" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span>在哪里<年代vg height="14.75" id="M2" style="vertical-align:-3.25793pt;width:445.27499px;" version="1.1" viewbox="0 0 445.27499 14.75" width="445.27499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.8648672" y="0"> ></t年代p一个n> <tspan style="font-size: 12.50px; " x="21.905256" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.156755" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.534004" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="48.349102" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="60.389488" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="66.640991" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.842239" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="81.594582" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="93.634964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="102.02448" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="106.18798" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="110.35148" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,42.32,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,47.19,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.942526" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.156277" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.319775" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.571274" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.785027" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.362804" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.526302" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="61.6898" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="66.903549" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="76.48085" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="88.52124" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="96.910751" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="101.07425" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="110.32647" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="115.54022" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="119.70372" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="125.95522" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="131.15646" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="142.73425" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="146.89775" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="151.06125" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="156.27499" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="166.69" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="178.73039" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="187.1199" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="191.2834" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="200.53561" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="205.73686" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="214.98909" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="219.15259" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="228.52983" y="0"> </t年代p一个n> </text> </g> </g> </svg>是不减少的函数,<年代vg height="13.6125" id="M3" style="vertical-align:-2.34499pt;width:107.65px;" version="1.1" viewbox="0 0 107.65 13.6125" width="107.65" 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p一个n> <tspan style="font-size: 12.50px; " x="6.8766499" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.815815" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.979315" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="24.855965" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.482796" y="0"> ></t年代p一个n> <tspan style="font-size: 12.50px; " x="44.523182" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="50.774685" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="60.151932" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="69.116585" y="0"> ≠</t年代p一个n> <tspan style="font-size: 12.50px; " x="79.756638" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>。</p><p>的解决方案(<一个href="#EEq1">1。1</一个>),我们的意思是一个函数<年代vg height="14.6625" id="M4" style="vertical-align:-3.13504pt;width:251.22501px;" version="1.1" viewbox="0 0 251.22501 14.6625" width="251.22501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6625)"> <g transform="translate(72,-60.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.769882" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.93338" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.096882" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-28.93,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-21.28,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.418598" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.996376" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.159878" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="46.373627" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="55.625847" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.789345" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="69.166595" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="81.519562" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="93.559952" y="0"> 米</t年代p一个n> <tspan style="font-size: 12.50px; " x="103.28728" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="108.83862" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="119.25362" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="125.25505" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="131.65659" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="136.87035" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="144.20959" y="0"> }</t年代p一个n> </text> </g> </g> </svg>,对于一些<年代vg height="13.7" id="M5" style="vertical-align:-3.25793pt;width:41.487499px;" version="1.1" viewbox="0 0 41.487499 13.7" width="41.487499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.7)"> <g transform="translate(72,-61.04)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-68.04,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.69,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-43.74,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>,这样<年代vg height="13.45" id="M6" style="vertical-align:-2.21957pt;width:114.375px;" version="1.1" viewbox="0 0 114.375 13.45" width="114.375" 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p一个n> <tspan style="font-size: 12.50px; " x="6.8766499" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.953588" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.892754" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.232975" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="39.50948" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.672977" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.586418" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.749916" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="58.626568" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="62.790066" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="69.479172" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="80.819389" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="87.220924" y="0"> )</t年代p一个n> </text> </g> </g> </svg>是连续可微的<年代vg height="14.6" id="M7" style="vertical-align:-3.13504pt;width:42.5px;" version="1.1" viewbox="0 0 42.5 14.6" width="42.5" 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p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-63.87,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> )</t年代p一个n> </text> </g> </g> </svg>等(<一个href="#EEq1">1。1</一个>)是满意的<年代vg height="13.55" id="M8" style="vertical-align:-3.13504pt;width:35.387501px;" version="1.1" viewbox="0 0 35.387501 13.55" width="35.387501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-48.61,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>。</p><p>存在的问题的解决方案的中立型微分方程研究了几个作者近年来。相关结果我们参考读者<一个href="#B1">1</一个>- - - - - -<一个href="#B11">11</一个>)和参考引用。然而没有概念保证下面有界正解的存在性,和上面的积极功能。在本文中,我们提出了一些构想。该方法也支持在无穷远处正解的存在性接近零。</p><p>我们知道,(<一个href="#EEq1">1。1</一个>)在文献中,没有结果的解决方案存在的有界的积极功能。只有解决方案的存在有界的常数处理,例如,在[<一个href="#B6">6</一个>,<一个href="#B10">10</一个>,<一个href="#B11">11</一个>]。似乎定理条件相当复杂,但不能简单推论<一个href="#coro2.2">2.3</一个>,<一个href="#coro2.4">2.6</一个>,<一个href="#coro3.1">3所示。2</一个>。</p><p>下面将使用不动点定理证明的主要结果在下一节。</p><p><年代p一个n class="statement" id="lem1.1"><span class="statement-title">引理1.1((见[<一个href="#B6">6</一个>,<一个href="#B10">10</一个>Krasnoselskii的不动点定理)。</年代p一个n><i>让<年代vg height="10.325" id="M9" style="vertical-align:-0.0pt;width:13.4125px;" version="1.1" viewbox="0 0 13.4125 10.325" width="13.4125" 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p一个n> </text> </g> </g> </svg>巴拿赫空间,让<年代vg height="10.6875" id="M10" style="vertical-align:-0.0pt;width:11.75px;" version="1.1" viewbox="0 0 11.75 10.6875" width="11.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6875)"> <g transform="translate(72,-63.45)"> <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p一个n> </text> </g> </g> </svg>是一个有界闭凸子集<年代vg height="10.325" id="M11" style="vertical-align:-0.0pt;width:13.4125px;" version="1.1" viewbox="0 0 13.4125 10.325" width="13.4125" 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p一个n> </text> </g> </g> </svg>,让<年代vg height="14.475" id="M12" style="vertical-align:-3.13504pt;width:39.137501px;" version="1.1" viewbox="0 0 39.137501 14.475" width="39.137501" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-45.61,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> </g> </g> </svg>的地图<年代vg height="10.6875" id="M13" style="vertical-align:-0.0pt;width:11.75px;" version="1.1" viewbox="0 0 11.75 10.6875" width="11.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6875)"> <g transform="translate(72,-63.45)"> <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p一个n> </text> </g> </g> </svg>成<年代vg height="10.325" id="M14" style="vertical-align:-0.0pt;width:13.4125px;" version="1.1" viewbox="0 0 13.4125 10.325" width="13.4125" 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p一个n> </text> </g> </g> </svg>这样<年代vg height="14.6" id="M15" style="vertical-align:-3.13504pt;width:97.650002px;" version="1.1" viewbox="0 0 97.650002 14.6" width="97.650002" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.6523161" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.992537" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-29.82,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-24.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.6648188" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.705208" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>每一对<年代vg height="13.55" id="M16" style="vertical-align:-2.29482pt;width:54px;" version="1.1" viewbox="0 0 54 13.55" width="54" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8766499" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.077898" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.795609" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>。如果<年代vg height="14.475" id="M17" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>收缩,<年代vg height="14.475" id="M18" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> </g> </g> </svg>是完全连续,那么方程</我><年代p一个n class="equation" id="eq1"> <svg height="15.75" id="M19" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 15.75" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.75)"> <g transform="translate(72,-59.4)"> <text transform="matrix(1,0,0,-1,170.24,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,178.37,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,183.24,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.6523161" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.992537" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,212.37,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,217.24,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.352484" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="247.50999" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="251.67349" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="257.92499" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="261.05075" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="267.30225" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span><i>有一个解决方案<年代vg height="10.6875" id="M20" style="vertical-align:-0.0pt;width:11.75px;" version="1.1" viewbox="0 0 11.75 10.6875" width="11.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6875)"> <g transform="translate(72,-63.45)"> <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p一个n> </text> </g> </g> </svg>。</我></年代p一个n></p> <h4 id="the-existence-of-positive-solution">2。正解的存在</h4> <p>在本节中,我们将考虑的存在积极的解决方案(<一个href="#EEq1">1。1</一个>)。下一个定理给出了一个正解存在的充分条件由两个正有界函数。</p><p><年代p一个n class="statement" id="thm2.1"><span class="statement-title">定理2.1。</年代p一个n><i>假设存在有界函数<年代vg height="17.8375" id="M21" style="vertical-align:-3.25793pt;width:157.675px;" version="1.1" viewbox="0 0 157.675 17.8375" width="157.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.8375)"> <g transform="translate(72,-57.73)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.12767" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.930021" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.970409" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-29.59,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-24.71,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-12.47,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-7.6,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.942526" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.156277" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.319775" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.571274" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.785027" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.362804" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.526302" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,不断<年代vg height="11.0625" id="M22" style="vertical-align:-0.30096pt;width:33.8125px;" version="1.1" viewbox="0 0 33.8125 11.0625" width="33.8125" 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p一个n> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> ></t年代p一个n> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="13.7" id="M23" style="vertical-align:-3.25793pt;width:70.224998px;" version="1.1" viewbox="0 0 70.224998 13.7" width="70.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.7)"> <g transform="translate(72,-61.04)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-68.04,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.69,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-43.74,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-36.09,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> </g> </g> </svg>这样</我><年代p一个n class="equation" id="EEq2"> <svg height="157.95" id="M24" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 157.95" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,157.95)"> <g transform="translate(72,54.36)"> <text transform="matrix(1,0,0,-1,154.83,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0019197" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.165419" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.078857" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.718191" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.758579" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="44.160595" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.324097" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.489033" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="77.831177" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="85.220451" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="97.248337" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,256,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,260.88,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="-169.12" y="28.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-125.94" y="31.030001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-120.09" y="28.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="203.87" y="3.1199999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="208.03349" y="3.1199999"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="214.285" y="3.1199999"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="217.41075" y="3.1199999"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="223.66225" y="3.1199999"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="-160.71001" y="28.51"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="-156.54649" y="28.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-152.63306" y="28.51"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="-145.70641" y="28.51"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="-134.35368" y="28.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,144.7,31.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,149.58,32.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="62.349998" y="7.1054274e-015"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="68.209999" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.970221" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.98" y="-2.52"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.143497" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.056938" y="-2.52"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.996101" y="-2.52"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.336323" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,221.7,31.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,226.57,32.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.3299999" y="-2.51"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.357885" y="-2.51"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.609386" y="-2.51"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.788029" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,273.27,31.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,281.62,34.68)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.457548" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,317,31.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,321.87,34.68)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="-220.53" y="29.76"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="142.88" y="2.49"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="147.0435" y="2.49"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="153.295" y="2.49"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="156.42075" y="2.49"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="162.67226" y="2.49"> )</t年代p一个n> </text> <g> <path d="m 84.08,0.79 40.77,0" 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,-1,84.08,-11.08)"> <tspan style="font-size: 12.50px; " x="44.049999" y="-1.42"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="87.800003" y="-1.05"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0019197" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.165419" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.854525" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.194744" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.596279" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.43" y="-8.75"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="61.431919" y="-8.75"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.595421" y="-8.75"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="69.508858" y="-8.75"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.448021" y="-8.75"> +</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,178.88,11.7)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,189.57,-2.33)"> <tspan style="font-size: 12.50px; " x="100.9" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-94.510002" y="39.73"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="-63.810001" y="32.470001"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.620808" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.784306" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.198826" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.362324" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="59.639309" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.97953" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="78.318794" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="82.482292" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="88.733788" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="95.385384" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="113.75" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="125.77789" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="134.1424" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="138.30589" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="142.21933" y="0"> )</t年代p一个n> </text> <g> <path d="m 108.3,-38.93 41.17,0" 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,-1,108.3,-50.81)"> <tspan style="font-size: 12.50px; " x="44.450001" y="-1.4299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="53.830002" y="-8.75"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="88.599998" y="-1.0599999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.4020157" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.565515" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.25462" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.594841" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.996376" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="62.240002" y="-8.7600002"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="66.403496" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="70.31694" y="-8.7600002"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="77.256104" y="-8.7600002"> +</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,203.9,-28.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,214.59,-42.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="100.5" y="7.3200002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1999998" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.363499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.864819" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.103815" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.631344" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.794842" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="46.796761" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="50.960258" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="59.237247" y="-0.0099999998"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.589973" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="77.92923" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="82.092728" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="88.331726" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="94.983322" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="113.35" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="125.37788" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="134.04247" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="146.08286" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="152.33435" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="167.50049" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="174.88977" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="186.93016" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,405.44,-45.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,410.31,-42.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.439999" y="-19.870001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.6035" y="-19.870001"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.854996" y="-19.870001"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="67.980751" y="-19.870001"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="74.232246" y="-19.870001"> )</t年代p一个n> </text> </g> </g> </svg></span><i><span class="displayed-label" id="EEq3"></span><span class="displayed-label" id="EEq4"></span>然后(<一个href="#EEq1">1。1</一个>)有一个正解有界的功能<年代vg height="9.4875002" id="M27" style="vertical-align:-1.76814pt;width:21.950001px;" version="1.1" viewbox="0 0 21.950001 9.4875002" width="21.950001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.4875)"> <g transform="translate(72,-64.41)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.12767" y="0"> </t年代p一个n> </text> </g> </g> </svg>。</我></年代p一个n></p> <p><span class="statement" id="proof1"><span class="statement-title"><i class="statement-title">证明。</我></年代p一个n>让<年代vg height="14.75" id="M28" style="vertical-align:-3.25793pt;width:81.474998px;" version="1.1" viewbox="0 0 81.474998 14.75" width="81.474998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.389513" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.553012" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.716511" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.32,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-46.45,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.791529" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.955029" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.156277" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="35.408497" y="0"> )</t年代p一个n> </text> </g> </g> </svg>所有连续有界函数的集合的常态<年代vg height="17.6875" id="M29" style="vertical-align:-5.44238pt;width:121.0125px;" version="1.1" viewbox="0 0 121.0125 17.6875" width="121.0125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.6875)"> <g transform="translate(72,-57.85)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.5390692" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.415719" y="0"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.418119" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.458508" y="0"> 年代</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.322174" y="0"> u</t年代p一个n> <tspan style="font-size: 12.50px; " x="46.573673" y="0"> p</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-14.95,60.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> ≥</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7344961" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-3.48,57.98)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,0.65,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="2.5006001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.3772497" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.540749" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.454187" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> |</t年代p一个n> </text> </g> </g> </svg>。然后<年代vg height="14.75" id="M30" style="vertical-align:-3.25793pt;width:81.474998px;" version="1.1" viewbox="0 0 81.474998 14.75" width="81.474998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.389513" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.553012" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.716511" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.32,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-46.45,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.791529" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.955029" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.156277" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="35.408497" y="0"> )</t年代p一个n> </text> </g> </g> </svg>巴拿赫空间。我们定义一个封闭的、有界凸子集<年代vg height="10.6875" id="M31" style="vertical-align:-0.0pt;width:11.75px;" version="1.1" viewbox="0 0 11.75 10.6875" width="11.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6875)"> <g transform="translate(72,-63.45)"> <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p一个n> </text> </g> </g> </svg>的<年代vg height="14.75" id="M32" style="vertical-align:-3.25793pt;width:81.474998px;" version="1.1" viewbox="0 0 81.474998 14.75" width="81.474998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.389513" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.553012" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.716511" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.32,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-46.45,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.791529" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.955029" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.156277" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="35.408497" y="0"> )</t年代p一个n> </text> </g> </g> </svg>如下:<年代p一个n class="equation" id="eq2"> <svg height="19.35" id="M33" 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,-1,45.59,61.13)"> <tspan style="font-size: 12.50px; " x="24.809999" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="113.22" y="7.1054274e-015"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> Ω</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.765563" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="32" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.339981" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.380371" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="63.349998" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="67.513496" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="71.426941" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="79.053764" y="-0.0099999998"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="91.094154" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="102.58" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="108.4314" y="2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,162.72,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,167.59,61.13)"> <tspan style="font-size: 12.50px; " x="16.790001" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="39.189999" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.73" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.931248" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="48.509998" y="0"> ∶</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.362366" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="66.389999" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.553497" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="74.466934" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="82.093765" y="-0.0099999998"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="94.134155" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="103.0863" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="107.2498" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="111.16325" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="118.80257" y="-0.0099999998"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="130.84297" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="139.25748" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="143.42099" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="147.33443" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="153.57343" y="-0.0099999998"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="162.95067" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="170.33994" y="-0.0099999998"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="182.38033" y="-0.0099999998"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,353.89,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,358.76,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.2799997" y="-2.51"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="105.99" y="-2.51"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="110.1535" y="-2.51"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="116.405" y="-2.51"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="119.53075" y="-2.51"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="125.78225" y="-2.51"> )</t年代p一个n> </text> </g> </g> </svg></span>现在我们定义两个地图<年代vg height="14.475" id="M34" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="14.75" id="M35" style="vertical-align:-3.25793pt;width:154.3875px;" version="1.1" viewbox="0 0 154.3875 14.75" width="154.3875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-55.48,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∶</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.8648672" y="0"> Ω</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.718431" y="0"> →</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.847542" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="50.237053" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.413055" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.576553" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,7.01,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,11.88,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.791529" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.955029" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.156277" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="35.408497" y="0"> )</t年代p一个n> </text> </g> </g> </svg>如下:<年代p一个n class="equation" id="eq3"> <svg height="126.2875" id="M36" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 126.2875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,126.2875)"> <g transform="translate(72,29.03)"> <text transform="matrix(1,0,0,-1,65.44,45.14)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,79.42,44.53)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,84.29,47.66)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8800001" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.560001" y="9.7399998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.81" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.973499" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.886938" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.513767" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="56.02" y="-13.79"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="64.372002" y="-13.79"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="68.5355" y="-13.79"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="72.448944" y="-13.79"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="78.700439" y="-13.79"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="87.652588" y="-13.79"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="91.816086" y="-13.79"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="98.5177" y="-13.79"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="109.85792" y="-13.79"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="116.25945" y="-13.79"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="122.49845" y="-13.79"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="137.67709" y="-13.79"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="145.06636" y="-13.79"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="157.09425" y="-13.79"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,245.31,58.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,250.18,61.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="-109.87" y="29.790001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-104.02" y="27.27"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,154.29,31.05)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,159.16,34.18)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.66" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8800001" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.806902" y="2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,183.74,31.05)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,188.61,31.66)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.52"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.106138" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,215.63,31.05)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,223.98,34.18)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.457548" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,259.35,31.05)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,264.23,34.18)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="-198.78999" y="43.990002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-192.94" y="41.470001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,79.42,-10.42)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,84.29,-7.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8800001" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.560001" y="-12.91"> ⎧</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.560001" y="-7.1199999"> ⎪</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.560001" y="3.1900001"> ⎨</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.560001" y="13.5"> ⎪</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.560001" y="19.23"> ⎩</t年代p一个n> <tspan style="font-size: 12.50px; " x="50.57" y="-10.14"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.130001" y="-2.45"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.81" y="8.8817842e-016"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.973499" y="8.8817842e-016"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.886938" y="8.8817842e-016"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.513767" y="8.8817842e-016"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,152.51,16.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="25.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,161.11,2.85)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1999998" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.363499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.864819" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.103815" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.631344" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.794842" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.74699" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.910488" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="60.187473" y="-0.0099999998"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.540199" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="78.879456" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="83.042961" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="89.281952" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="95.933548" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="101.43487" y="-0.0099999998"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="116.61351" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="124.00278" y="-0.0099999998"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="136.03067" y="-0.0099999998"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,301.07,-0.27)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,305.94,2.85)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="-171.08" y="29.780001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-165.23" y="27.27"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,148.83,-27.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,153.71,-24.42)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.66" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8800001" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.806902" y="2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,178.29,-27.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,183.16,-26.93)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="63.16" y="-3.5527137e-015"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="69.010002" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.970221" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.372236" y="-2.51"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.535736" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.449177" y="-2.51"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.400845" y="-2.51"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.741062" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,256.08,-27.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,260.95,-26.93)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.51"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.106138" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,287.98,-27.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,296.32,-24.42)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.457548" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,331.7,-27.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,336.57,-24.42)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="128.17999" y="-42.779999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="132.34351" y="-42.779999"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="138.595" y="-42.779999"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="141.72075" y="-42.779999"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="147.97224" y="-42.779999"> )</t年代p一个n> </text> </g> </g> </svg></span>我们将为任何显示<年代vg height="13.55" id="M37" style="vertical-align:-2.29482pt;width:54px;" version="1.1" viewbox="0 0 54 13.55" width="54" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8766499" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.077898" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.795609" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>我们有<年代vg height="14.6" id="M38" style="vertical-align:-3.13504pt;width:97.650002px;" version="1.1" viewbox="0 0 97.650002 14.6" width="97.650002" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.6523161" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.992537" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-29.82,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-24.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.6648188" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.705208" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>。对于每一个<年代vg height="13.55" id="M39" style="vertical-align:-2.29482pt;width:54px;" version="1.1" viewbox="0 0 54 13.55" width="54" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8766499" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.077898" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.795609" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="13.55" id="M40" style="vertical-align:-3.13504pt;width:35.387501px;" version="1.1" viewbox="0 0 35.387501 13.55" width="35.387501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-48.61,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>,我们获得<年代p一个n class="equation" id="eq4"> <svg height="36.837502" id="M41" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 36.837502" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,36.8375)"> <g transform="translate(72,-42.53)"> <text transform="matrix(1,0,0,-1,29.22,51.65)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,43.2,51.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,48.08,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8699999" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.169998" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.02" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.81" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.973499" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.886938" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.826103" y="0"> +</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,103.23,51.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,108.1,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.1999998" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="119.87" y="7.6999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.14" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.303499" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.216938" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.843767" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.884155" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="50.248665" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.412163" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="58.325603" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.564598" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="72.979118" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="77.142616" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="83.831718" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="95.171944" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="101.57348" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="108.52515" y="0"> −</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,234.97,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,245.66,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.620808" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.784306" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="46.798729" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="50.962227" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="59.239216" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.591934" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="77.931198" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="82.094696" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="88.333694" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="94.985291" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="103.96245" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="116.00283" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="124.40485" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="128.56834" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="132.48178" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="138.73329" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="219.09" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="223.25349" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="229.505" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="232.63075" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="238.88225" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span>为<年代vg height="14.5375" id="M42" style="vertical-align:-3.25793pt;width:63.299999px;" version="1.1" viewbox="0 0 63.299999 14.5375" width="63.299999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5375)"> <g transform="translate(72,-60.37)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.580658" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-44.45,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-39.57,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-30.45,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-25.58,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>,我们有<年代p一个n class="equation" id="eq5"> <svg height="49.775002" id="M43" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 49.775002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,49.775)"> <g transform="translate(72,-32.18)"> <text transform="matrix(1,0,0,-1,48.22,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,62.19,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,67.07,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8800001" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.169998" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.02" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.81" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.973499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.886938" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.826103" y="-0.0099999998"> +</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,122.22,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,127.1,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.1999998" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.880001" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.73" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.13" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.293499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.206938" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.833769" y="-0.0099999998"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,182.96,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,187.84,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.66" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8699999" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.796902" y="2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,212.41,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,217.29,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.969999" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="25.82" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,251.24,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,256.11,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.99" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.1999998" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.139405" y="2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,280.01,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,284.89,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="63.150002" y="7.1054274e-015"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="69.010002" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.970221" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.379999" y="-2.52"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.543499" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.45694" y="-2.52"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.396103" y="-2.52"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.736324" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,357.81,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,362.68,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-185.28999" y="24.34"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-179.42999" y="21.83"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-205.73" y="21.83"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="-193.70212" y="21.83"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,187.16,33.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,192.03,34.28)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="63.16" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="69.010002" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.970221" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.384741" y="-2.51"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.548241" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.461678" y="-2.51"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.400845" y="-2.51"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.741062" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,264.95,33.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,269.83,34.28)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.3199997" y="-2.51"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.347885" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.762405" y="-2.51"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.925903" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.839344" y="-2.51"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.090843" y="-2.51"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="194.92" y="-14.68"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="199.0835" y="-14.68"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="205.33499" y="-14.68"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="208.46075" y="-14.68"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="214.71225" y="-14.68"> )</t年代p一个n> </text> </g> </g> </svg></span>此外,为<年代vg height="13.55" id="M44" style="vertical-align:-3.13504pt;width:35.387501px;" version="1.1" viewbox="0 0 35.387501 13.55" width="35.387501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-48.61,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>,我们得到<年代p一个n class="equation" id="EEq5"> <svg height="36.837502" id="M45" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 36.837502" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,36.8375)"> <g transform="translate(72,-42.53)"> <text transform="matrix(1,0,0,-1,29.42,51.65)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,43.4,51.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,48.28,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8699999" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.169998" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.02" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.81" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.973499" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.886938" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.826103" y="0"> +</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,103.43,51.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,108.3,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.1999998" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="119.47" y="7.6999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.14" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.303499" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.216938" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.843767" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.884155" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="50.248665" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.412163" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="58.325603" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.564598" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="72.579025" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.742523" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="83.431625" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="94.771851" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="101.17339" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="108.12505" y="0"> −</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,234.77,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,245.46,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.620808" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.784306" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.198826" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.362324" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="59.639309" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.992035" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="78.331291" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="82.494797" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="88.733788" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="95.385384" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="104.36254" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="116.40293" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="124.40485" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="128.56834" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="132.48178" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="138.73329" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="219.28999" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="223.45351" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="229.705" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="232.83075" y="0"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="239.08224" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span>让<年代vg height="14.5375" id="M46" style="vertical-align:-3.25793pt;width:63.299999px;" version="1.1" viewbox="0 0 63.299999 14.5375" width="63.299999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5375)"> <g transform="translate(72,-60.37)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.580658" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-44.45,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-39.57,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-30.45,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-25.58,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>。关于(<一个href="#EEq3">2.2</一个>),我们得到<年代p一个n class="equation" id="eq6"> <svg height="19.35" id="M47" 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,-1,100.9,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="43.18" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="49.040001" y="7.1054274e-015"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.4099998" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.573499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.486938" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.426104" y="-0.0099999998"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.766323" y="-0.0099999998"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,153.85,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,158.72,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.99" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="33.84" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.970221" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,196.47,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,201.35,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.3199997" y="-2.51"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.347885" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.370001" y="-2.52"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.533501" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.446938" y="-2.52"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.685936" y="-2.52"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.852074" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,264.13,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,272.48,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.445045" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,307.85,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,312.72,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="152.03" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="156.1935" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="162.44499" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="165.57076" y="0"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="171.82225" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span>然后<年代vg height="14.5375" id="M48" style="vertical-align:-3.25793pt;width:63.299999px;" version="1.1" viewbox="0 0 63.299999 14.5375" width="63.299999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5375)"> <g transform="translate(72,-60.37)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.580658" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-44.45,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-39.57,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-30.45,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-25.58,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>和任何<年代vg height="13.55" id="M49" style="vertical-align:-2.29482pt;width:54px;" version="1.1" viewbox="0 0 54 13.55" width="54" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8766499" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.077898" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.795609" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>,我们获得<年代p一个n class="equation" id="eq7"> <svg height="49.775002" id="M50" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 49.775002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,49.775)"> <g transform="translate(72,-32.18)"> <text transform="matrix(1,0,0,-1,48.22,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,62.19,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,67.07,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8800001" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.169998" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.02" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.81" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.973499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.886938" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.826103" y="-0.0099999998"> +</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,122.22,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,127.1,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.1999998" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.880001" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.73" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.13" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.293499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.206938" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.833769" y="-0.0099999998"> =</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,182.96,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,187.84,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.66" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8699999" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.796902" y="2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,212.41,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,217.29,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.969999" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="25.82" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,251.24,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,256.11,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.99" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.1999998" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.139405" y="2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,280.01,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,284.89,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="63.150002" y="7.1054274e-015"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="69.010002" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.970221" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.379999" y="-2.52"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.543499" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.45694" y="-2.52"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.396103" y="-2.52"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.736324" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,357.81,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,362.68,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-185.69" y="24.34"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-179.83" y="21.83"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-205.73" y="21.83"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="-193.70212" y="21.83"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,186.76,33.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,191.63,34.28)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="63.16" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="69.010002" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.970221" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.384741" y="-2.51"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.548241" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.461678" y="-2.51"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.400845" y="-2.51"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.741062" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,264.55,33.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,269.43,34.28)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.3199997" y="-2.51"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.347885" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.362309" y="-2.51"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.525806" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.439247" y="-2.51"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.690746" y="-2.51"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="189.06" y="-14.68"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="193.2235" y="-14.68"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="199.47501" y="-14.68"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="202.60075" y="-14.68"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="208.85225" y="-14.68"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="215.10374" y="-14.68"> )</t年代p一个n> </text> </g> </g> </svg></span>因此我们已经证明了这一点<年代vg height="14.6" id="M51" style="vertical-align:-3.13504pt;width:97.650002px;" version="1.1" viewbox="0 0 97.650002 14.6" width="97.650002" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.6523161" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.992537" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-29.82,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-24.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.6648188" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.705208" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>对于任何<年代vg height="13.55" id="M52" style="vertical-align:-2.29482pt;width:54px;" version="1.1" viewbox="0 0 54 13.55" width="54" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8766499" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.077898" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.795609" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>。<br>我们将显示<年代vg height="14.475" id="M53" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>是一个收缩映射<年代vg height="10.6875" id="M54" style="vertical-align:-0.0pt;width:11.75px;" version="1.1" viewbox="0 0 11.75 10.6875" width="11.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6875)"> <g transform="translate(72,-63.45)"> <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p一个n> </text> </g> </g> </svg>。为<年代vg height="13.55" id="M55" style="vertical-align:-2.29482pt;width:54px;" version="1.1" viewbox="0 0 54 13.55" width="54" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8766499" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.077898" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.795609" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="13.55" id="M56" style="vertical-align:-3.13504pt;width:35.387501px;" version="1.1" viewbox="0 0 35.387501 13.55" width="35.387501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-48.61,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>我们有<年代p一个n class="equation" id="eq8"> <svg height="19.35" id="M57" 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,-1,45.48,62.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="3.1800001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="2.5" y="4.1100001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3599997" y="1.6"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,61.96,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,66.84,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8699999" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.169998" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.02" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.81" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.973499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.886938" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.826103" y="-0.0099999998"> −</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,121.99,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,126.86,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.1999998" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="26.379999" y="-1.6"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.379999" y="1.58"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.349998" y="-7.1054274e-015"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.389999" y="-1.59"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.389999" y="1.5700001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="46.889999" y="-1.4210855e-014"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="173.00999" y="-1.59"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="173.00999" y="1.5700001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.14" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.303499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.216938" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="55.25" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.413498" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="63.326939" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="69.565933" y="-0.0099999998"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.105003" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="85.069656" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="89.233154" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="95.922256" y="-0.0099999998"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="107.27499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="113.67652" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="120.61568" y="-0.0099999998"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="131.9559" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="140.24539" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="144.40889" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="151.09799" y="-0.0099999998"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="162.43822" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="168.83975" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="178.99001" y="-1.4210855e-014"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="191.01788" y="-1.4210855e-014"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="198.91978" y="-1.4210855e-014"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="205.45885" y="-1.4210855e-014"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="215.11116" y="-1.4210855e-014"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="226.45139" y="-1.4210855e-014"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="232.65288" y="-1.4210855e-014"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="241.27995" y="-1.4210855e-014"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="331.63" y="-1.4210855e-014"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="335.79349" y="-1.4210855e-014"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="342.04501" y="-1.4210855e-014"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="345.17075" y="-1.4210855e-014"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="351.42224" y="-1.4210855e-014"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="357.67374" y="-1.4210855e-014"> )</t年代p一个n> </text> </g> </g> </svg></span>这意味着<年代p一个n class="equation" id="eq9"> <svg height="16.5375" id="M58" 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,-1,139.4,63.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0.99000001"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.54" y="0.49000001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,154.06,59.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,158.94,62.57)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.6523161" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.992537" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,188.06,59.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,192.94,62.57)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.1999998" y="-0.49000001"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.1999998" y="0.5"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.99" y="-0.63"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.017885" y="-0.63"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="38.919781" y="-0.63"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.458851" y="-0.63"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="55.111168" y="-0.63"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="66.451385" y="-0.63"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="72.652878" y="-0.63"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="81.279945" y="-0.63"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="265.54999" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="269.7135" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="275.965" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="279.09076" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="285.34225" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="291.59375" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span>也为<年代vg height="14.5375" id="M59" style="vertical-align:-3.25793pt;width:63.299999px;" version="1.1" viewbox="0 0 63.299999 14.5375" width="63.299999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5375)"> <g transform="translate(72,-60.37)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.580658" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-44.45,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-39.57,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-30.45,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-25.58,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>,前面的不平等是有效的。我们得出这样的结论:<年代vg height="14.475" id="M60" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>是一个收缩映射<年代vg height="10.6875" id="M61" style="vertical-align:-0.0pt;width:11.75px;" version="1.1" viewbox="0 0 11.75 10.6875" width="11.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6875)"> <g transform="translate(72,-63.45)"> <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p一个n> </text> </g> </g> </svg>。<br>我们现在证明<年代vg height="14.475" id="M62" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> </g> </g> </svg>完全是连续的。首先,我们将显示<年代vg height="14.475" id="M63" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> </g> </g> </svg>是连续的。让<年代vg height="14.7125" id="M64" style="vertical-align:-3.2316pt;width:96.125px;" version="1.1" viewbox="0 0 96.125 14.7125" width="96.125" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-65.07,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.36,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-37.44,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-32.2,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.703768" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.744158" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>是这样的,<年代vg height="14.7125" id="M65" style="vertical-align:-3.2316pt;width:82.837502px;" version="1.1" viewbox="0 0 82.837502 14.7125" width="82.837502" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-65.07,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.83,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.791769" y="0"> →</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.920879" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.797527" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.961029" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="49.874466" y="0"> )</t年代p一个n> </text> </g> </g> </svg>作为<年代vg height="10.7375" id="M66" style="vertical-align:-0.13794pt;width:51.4375px;" version="1.1" viewbox="0 0 51.4375 10.7375" width="51.4375" 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p一个n> <tspan style="font-size: 12.50px; " x="12.327958" y="0"> →</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.457067" y="0"> ∞</t年代p一个n> </text> </g> </g> </svg>。因为<年代vg height="10.6875" id="M67" style="vertical-align:-0.0pt;width:11.75px;" version="1.1" viewbox="0 0 11.75 10.6875" width="11.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6875)"> <g transform="translate(72,-63.45)"> <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p一个n> </text> </g> </g> </svg>关闭了,<年代vg height="13.45" id="M68" style="vertical-align:-2.21957pt;width:83.025002px;" version="1.1" viewbox="0 0 83.025002 13.45" width="83.025002" 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p一个n> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.257021" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.420521" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.333958" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.973289" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.01368" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>。为<年代vg height="13.55" id="M69" style="vertical-align:-3.13504pt;width:35.387501px;" version="1.1" viewbox="0 0 35.387501 13.55" width="35.387501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-48.61,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>我们有<年代p一个n class="equation" id="eq10"> <svg height="94.625" id="M70" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 94.625" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,94.625)"> <g transform="translate(72,3.7)"> <text transform="matrix(1,0,0,-1,31.71,52.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="3.1800001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="2.5" y="4.1100001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3599997" y="1.6"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,48.19,48.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,53.07,51.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,59.94,48.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,65.19,48.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.290001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="40.139999" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9299998" y="-2.52"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.093499" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.006939" y="-2.52"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.946102" y="-2.52"> −</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,113.46,48.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,118.34,51.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8699999" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.049999" y="-1.59"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.049999" y="1.59"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.02" y="0.0099999998"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.139999" y="-12.25"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.139999" y="-1.58"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.139999" y="9.0799999"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.139999" y="12.25"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.639999" y="7.6999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.81" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.973499" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.886938" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,174.99,65.27)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,185.67,51.25)"> <tspan style="font-size: 12.50px; " x="24.110001" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.9" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="39.419998" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="45.279999" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,237.82,48.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,245.15,51.25)"> <tspan style="font-size: 12.50px; " x="35.290001" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="118.36" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="137.39" y="-12.25"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="137.39" y="-1.58"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="137.39" y="9.0799999"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="137.39" y="12.25"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="-93.790001" y="41.220001"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="-79.669998" y="48.91"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.440485" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.780706" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="31.119967" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.919998" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="55.26022" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="65.775246" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="69.938744" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="78.903397" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="83.066895" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="91.34388" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="102.6841" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="110.02336" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="114.18686" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="125.23" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="131.88159" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,172.49,24.06)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,173.97,-3.65)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,183.17,10.03)"> <tspan style="font-size: 12.50px; " x="24.110001" y="-1.6"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.110001" y="1.58"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.610001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.139999" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.990002" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,233.03,6.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,240.36,10.04)"> <tspan style="font-size: 12.50px; " x="35.290001" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="118.36" y="-1.59"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="118.36" y="1.59"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.440485" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.780706" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="31.119967" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.919998" y="0.0099999998"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="55.26022" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="65.775246" y="0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="69.938744" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="78.903397" y="0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="83.066895" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="91.34388" y="0.0099999998"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="102.6841" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="110.02336" y="0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="114.18686" y="0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="122.95" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="129.60159" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="135.10292" y="0.0099999998"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="218.13" y="-20.98"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="222.2935" y="-20.98"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="228.545" y="-20.98"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="231.67075" y="-20.98"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="237.92226" y="-20.98"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="244.17375" y="-20.98"> )</t年代p一个n> </text> </g> </g> </svg></span>根据(<一个href="#EEq5">2.8</一个>),我们得到<年代p一个n class="equation" id="EEq6"> <svg height="39.474998" id="M71" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 39.474998" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,39.475)"> <g transform="translate(72,-40.42)"> <text transform="matrix(1,0,0,-1,133.98,46.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,140.98,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,142.47,40.47)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,151.66,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.633308" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.79681" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.198826" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.362324" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="59.651814" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.992035" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="78.331291" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="82.494797" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="88.746292" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="95.397888" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="104.36254" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="116.40293" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="127.98071" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="306.82999" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="310.9935" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="317.245" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="320.37076" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="326.62225" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="332.87375" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span>自<年代vg height="14.7125" id="M72" style="vertical-align:-3.2316pt;width:210.33749px;" version="1.1" viewbox="0 0 210.33749 14.7125" width="210.33749" 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p一个n> <tspan style="font-size: 12.50px; " x="2.5006001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.439765" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.603264" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.47,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-46.23,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.440485" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.780706" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="31.119967" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.283466" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.22263" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.575356" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="60.514519" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.678017" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="71.554672" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="75.71817" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="83.995155" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="95.335373" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="102.67464" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="106.83813" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="111.00163" y="0"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="119.05357" y="0"> →</t年代p一个n> <tspan style="font-size: 12.50px; " x="136.19518" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>作为<年代vg height="10.7375" id="M73" style="vertical-align:-0.13794pt;width:51.4375px;" version="1.1" viewbox="0 0 51.4375 10.7375" width="51.4375" 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p一个n> <tspan style="font-size: 12.50px; " x="12.327958" y="0"> →</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.457067" y="0"> ∞</t年代p一个n> </text> </g> </g> </svg>通过应用勒贝格控制收敛定理,我们得到<年代p一个n class="equation" id="eq11"> <svg height="26.512501" id="M74" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 26.512501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,26.5125)"> <g transform="translate(72,-50.79)"> <text transform="matrix(1,0,0,-1,121.3,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> 米</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,118.74,53.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="6.2051678" y="0"> →</t年代p一个n> <tspan style="font-size: 8.75px; " x="15.762352" y="0"> ∞</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,144.7,62.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="2.8599999"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6199999" y="3.9400001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.47" y="1.4299999"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,167.3,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,172.17,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,179.05,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,184.29,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.299999" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="40.150002" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.52"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.103499" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.016937" y="-2.52"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.956102" y="-2.52"> −</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,232.57,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,237.44,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8800001" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.059999" y="-1.4299999"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.059999" y="1.4299999"> 为</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.81" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.973499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.886938" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.150002" y="-7.1054274e-015"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.177887" y="-7.1054274e-015"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.429386" y="-7.1054274e-015"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="221.05" y="2.8599999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="225.2135" y="2.8599999"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="231.465" y="2.8599999"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="234.59074" y="2.8599999"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="240.84225" y="2.8599999"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="247.09375" y="2.8599999"> )</t年代p一个n> </text> </g> </g> </svg></span>这意味着<年代vg height="14.475" id="M75" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> </g> </g> </svg>是连续的。<br>我们现在证明<年代vg height="14.6" id="M76" style="vertical-align:-3.13504pt;width:28px;" version="1.1" viewbox="0 0 28 14.6" width="28" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>相对紧凑。它能充分显示Arzela-Ascoli定理,家庭的功能<年代vg height="14.6625" id="M77" style="vertical-align:-3.13504pt;width:96.262497px;" version="1.1" viewbox="0 0 96.262497 14.6625" width="96.262497" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6625)"> <g transform="translate(72,-60.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-57.82,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-52.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> ∶</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.204847" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.557331" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.597721" y="0"> Ω</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.899952" y="0"> }</t年代p一个n> </text> </g> </g> </svg>一致有界和同等连续的吗<年代vg height="14.75" id="M78" style="vertical-align:-3.25793pt;width:42.5px;" version="1.1" viewbox="0 0 42.5 14.75" width="42.5" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-63.87,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> )</t年代p一个n> </text> </g> </g> </svg>。接下来的一致有界性的定义<年代vg height="10.6875" id="M79" style="vertical-align:-0.0pt;width:11.75px;" version="1.1" viewbox="0 0 11.75 10.6875" width="11.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6875)"> <g transform="translate(72,-63.45)"> <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p一个n> </text> </g> </g> </svg>。泛的我们只需要显示,根据莱维坦结果(<一个href="#B7">7</一个>),对于任何给定的<年代vg height="11.0625" id="M80" style="vertical-align:-0.30096pt;width:34.887501px;" version="1.1" viewbox="0 0 34.887501 11.0625" width="34.887501" 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p一个n> <tspan style="font-size: 12.50px; " x="9.5147829" y="0"> ></t年代p一个n> <tspan style="font-size: 12.50px; " x="21.555172" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>的时间间隔<年代vg height="14.75" id="M81" style="vertical-align:-3.25793pt;width:42.5px;" version="1.1" viewbox="0 0 42.5 14.75" width="42.5" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-63.87,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> )</t年代p一个n> </text> </g> </g> </svg>可以分解为有限的小区间的方式在每个子区间的所有功能的家庭的变化幅度小于吗<年代vg height="7.1875" id="M82" style="vertical-align:-0.13794pt;width:7.6875px;" version="1.1" viewbox="0 0 7.6875 7.1875" width="7.6875" 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p一个n> </text> </g> </g> </svg>。然后对条件(<一个href="#EEq6">2.14</一个>),<年代vg height="11.1125" id="M83" style="vertical-align:-0.33858pt;width:39.737499px;" version="1.1" viewbox="0 0 39.737499 11.1125" width="39.737499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.1125)"> <g transform="translate(72,-63.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>和任何<年代vg height="11.0625" id="M84" style="vertical-align:-0.30096pt;width:34.887501px;" version="1.1" viewbox="0 0 34.887501 11.0625" width="34.887501" 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p一个n> <tspan style="font-size: 12.50px; " x="9.5147829" y="0"> ></t年代p一个n> <tspan style="font-size: 12.50px; " x="21.555172" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>,我们将<年代vg height="15.4375" id="M85" style="vertical-align:-3.13504pt;width:41.737499px;" version="1.1" viewbox="0 0 41.737499 15.4375" width="41.737499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.4375)"> <g transform="translate(72,-59.65)"> <text transform="matrix(1,0,0,-1,-71.95,62.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-68.04,67.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∗</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.49,62.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-43.54,59.7)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>足够大,这样<年代p一个n class="equation" id="eq12"> <svg height="36.837502" id="M86" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 36.837502" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,36.8375)"> <g transform="translate(72,-42.53)"> <text transform="matrix(1,0,0,-1,135.17,46.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,142.17,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,143.66,45.28)"> <tspan style="font-size: 6.25px; " x="0" y="0"> ∗</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,152.86,54.16)"> <tspan style="font-size: 12.50px; " x="118.25" y="-7.25"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.620808" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.784306" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.748959" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.912457" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="60.189442" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.529663" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="78.868927" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="83.032425" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="89.28392" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="95.935516" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="104.91267" y="0"> <</t年代p一个n> </text> <g> <path d="m 271.01,57.28 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,-1,271.01,45.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.4499998" y="-8.75"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="187.48" y="-8.75"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="191.64349" y="-8.75"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="197.895" y="-8.75"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="201.02075" y="-8.75"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="207.27225" y="-8.75"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="213.52374" y="-8.75"> )</t年代p一个n> </text> </g> </g> </svg></span>然后,对于<年代vg height="15.4375" id="M87" style="vertical-align:-3.13504pt;width:130.85001px;" version="1.1" viewbox="0 0 130.85001 15.4375" width="130.85001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.4375)"> <g transform="translate(72,-59.65)"> <text transform="matrix(1,0,0,-1,-71.95,62.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> Ω</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.682602" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.059853" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-24.01,59.7)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-15.66,62.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ></t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,3.26,59.7)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,11.6,62.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,27.55,67.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∗</t年代p一个n> </text> </g> </g> </svg>,我们有<年代p一个n class="equation" id="eq13"> <svg height="90.025002" id="M88" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 90.025002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,90.025)"> <g transform="translate(72,0.02)"> <text transform="matrix(1,0,0,-1,34.28,55.76)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="3.1900001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="2.5" y="4.1100001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3599997" y="1.6"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,50.76,51.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,55.64,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.66" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8699999" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.796902" y="2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,83.18,51.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,88.05,51.65)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.969999" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="25.83" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,122,51.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,126.88,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.66" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8699999" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.796902" y="2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,154.42,51.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,159.29,51.65)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-4.1100001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-0.92000002"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.83" y="-2.51"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.950001" y="5.1900001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,192.24,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,195.8,40.47)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,202.93,54.16)"> <tspan style="font-size: 12.50px; " x="-22.549999" y="40.439999"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="-11.2" y="48.139999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.093281" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.620808" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.784306" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.748959" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.912457" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="60.189442" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.529663" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="78.868927" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="83.032425" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="89.28392" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="95.935516" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,198.73,27.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,202.29,0.03)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,209.42,13.72)"> <tspan style="font-size: 12.50px; " x="118.25" y="-7.25"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.093281" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.620808" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.784306" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.748959" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.912457" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="60.189442" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.529663" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="78.868927" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="83.032425" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="89.28392" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="95.935516" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="104.91267" y="0"> <</t年代p一个n> </text> <g> <path d="m 327.57,16.84 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,-1,327.57,4.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.22" y="-8.7600002"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.860001" y="-16.01"> </t年代p一个n> </text> <g> <path d="m 350.33,16.84 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,-1,350.33,4.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.92" y="-8.7600002"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.960388" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.011841" y="-8.7600002"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="108.16" y="-27.9"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="112.3235" y="-27.9"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="118.575" y="-27.9"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="121.70075" y="-27.9"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="127.95225" y="-27.9"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="134.20375" y="-27.9"> )</t年代p一个n> </text> </g> </g> </svg></span>为<年代vg height="11.1125" id="M89" style="vertical-align:-0.33858pt;width:39.737499px;" version="1.1" viewbox="0 0 39.737499 11.1125" width="39.737499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.1125)"> <g transform="translate(72,-63.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="15.4375" id="M90" style="vertical-align:-3.13504pt;width:109.8875px;" version="1.1" viewbox="0 0 109.8875 15.4375" width="109.8875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.4375)"> <g transform="translate(72,-59.65)"> <text transform="matrix(1,0,0,-1,-71.95,62.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-68.04,59.7)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.69,62.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-40.77,59.7)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-32.43,62.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-13.51,59.7)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-5.17,62.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,10.79,67.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∗</t年代p一个n> </text> </g> </g> </svg>,我们得到<年代p一个n class="equation" id="eq14"> <svg height="82" id="M91" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 82" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,82)"> <g transform="translate(72,-6.4)"> <text transform="matrix(1,0,0,-1,40.63,53.8)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="3.1800001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="2.5" y="4.1100001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3500004" y="1.59"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,57.1,49.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,61.98,52.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.66" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8800001" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.806902" y="2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,89.52,49.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,94.39,49.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.52"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.98" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="25.83" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,128.35,49.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,133.22,52.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.66" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8800001" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.806902" y="2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,160.76,49.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,165.63,49.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8600001" y="-4.1100001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8600001" y="-0.93000001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.83" y="-2.52"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.950001" y="5.1799998"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,198.58,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,203.4,64.05)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,197.33,40.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,202.15,38.52)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,209.6,52.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.633308" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.79681" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.748959" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.912457" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="60.201946" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.542168" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="78.881424" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="83.04493" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="89.28392" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="95.935516" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-32.139999" y="33.470001"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="-17.561502" y="33.470001"> 米</t年代p一个n> <tspan style="font-size: 12.50px; " x="-7.834168" y="33.470001"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="-2.282836" y="33.470001"> x</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,189.5,11.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,192.24,8.93)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,195.86,11.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="9.8459997" y="0"> ≤</t年代p一个n> <tspan style="font-size: 8.75px; " x="15.84112" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,214.44,13.73)"> <tspan style="font-size: 6.25px; " x="0" y="0"> ∗</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,220.29,18.75)"> <tspan style="font-size: 12.50px; " x="101.3" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="107.15" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.190905" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.354404" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="23.855724" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.107224" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="40.63475" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.798248" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="53.750397" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.913895" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="66.203384" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="77.54361" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="84.882866" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="89.046364" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="93.209862" y="0"> }</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,334.32,15.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,341.97,18.74)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,360.19,15.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,365.06,16.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.51"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="93.43" y="-19.84"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="97.593498" y="-19.84"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="103.845" y="-19.84"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="106.97075" y="-19.84"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="113.22225" y="-19.84"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="119.47375" y="-19.84"> )</t年代p一个n> </text> </g> </g> </svg></span>因此存在<年代vg height="14.6" id="M92" style="vertical-align:-3.13504pt;width:62.487499px;" version="1.1" viewbox="0 0 62.487499 14.6" width="62.487499" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-65.66,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-57.31,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.079338" y="0"> /</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.555172" y="0"> </t年代p一个n> </text> </g> </g> </svg>,在那里<年代vg height="17.4" id="M93" style="vertical-align:-5.32956pt;width:215.575px;" version="1.1" viewbox="0 0 215.575 17.4" width="215.575" 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,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.028847" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.069235" y="0"> 米</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.79657" y="0"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.3479" y="0"> x</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-18.18,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-15.44,58.13)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-11.81,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="9.8459997" y="0"> ≤</t年代p一个n> <tspan style="font-size: 8.75px; " x="15.84112" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,6.77,62.94)"> <tspan style="font-size: 6.25px; " x="0" y="0"> ∗</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,11.03,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="12.115407" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.278906" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.780226" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.943726" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="32.882889" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.046391" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="43.923038" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.086536" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="56.363525" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="67.703743" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="75.043007" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="79.206505" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="83.370003" y="0"> }</t年代p一个n> </text> </g> </g> </svg>,这样<年代p一个n class="equation" id="eq15"> <svg height="19.35" id="M94" 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,-1,75.44,62.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="3.1800001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="2.5" y="4.1100001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3500004" y="1.6"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,91.92,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,96.79,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.66" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8800001" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.806902" y="2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,124.33,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,129.2,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.98" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="25.83" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,163.16,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,168.03,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.66" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8800001" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.806902" y="2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,195.57,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,200.44,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8600001" y="-4.1100001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8600001" y="-0.93000001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.83" y="-2.51"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.857885" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="39.874229" y="-2.51"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.350063" y="-2.51"> f</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.677059" y="-2.51"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="61.404396" y="-2.51"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="73.444786" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,280.77,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,288.42,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,306.64,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,314.99,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,333.31,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,338.19,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="120.3" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="124.4635" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="130.715" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="133.84074" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="140.09225" y="0"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="146.34375" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span>最后对任何<年代vg height="14.75" id="M95" style="vertical-align:-3.25793pt;width:160.97501px;" version="1.1" viewbox="0 0 160.97501 14.75" width="160.97501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> Ω</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.682602" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.059853" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-26.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-18.62,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,0.29,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,8.64,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,27.55,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,35.9,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,51.85,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>,存在一个<年代vg height="14.6" id="M96" style="vertical-align:-3.13504pt;width:41.287498px;" version="1.1" viewbox="0 0 41.287498 14.6" width="41.287498" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-65.66,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-57.31,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ></t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>这样<年代p一个n class="equation" id="eq16"> <svg height="84.275002" id="M97" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 84.275002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,84.275)"> <g transform="translate(72,-4.58)"> <text transform="matrix(1,0,0,-1,4.1,52.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="3.1800001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="2.5" y="4.1100001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3599997" y="1.6"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,20.58,48.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,25.46,51.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.66" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8699999" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.809405" y="2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,53,48.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,57.87,48.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.969999" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="25.83" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,91.82,48.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,96.7,51.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.66" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8699999" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.809405" y="2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,124.24,48.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,129.11,48.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-4.1100001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-0.93000001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.83" y="-2.51"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.860001" y="-4.1100001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.860001" y="-0.93000001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.370001" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.779999" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="40.630001" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,176.61,48.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,181.49,48.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.379999" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.23" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.970221" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,222.6,48.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,227.47,48.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8600001" y="-4.1100001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8600001" y="-0.93000001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.83" y="-2.51"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.870001" y="-14.77"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.870001" y="-4.0999999"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.870001" y="6.5599999"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.870001" y="9.7299995"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.370001" y="5.1799998"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,260.84,65.27)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,265.65,63.09)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,259.59,39.75)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,264.4,37.56)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,271.86,51.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,278.19,56.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,283.74,51.25)"> <tspan style="font-size: 12.50px; " x="28.07" y="-12.25"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.07" y="-1.58"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.07" y="9.0799999"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.07" y="12.25"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.6648188" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.903816" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.555412" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-142.8" y="34.240002"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="-128.29652" y="34.240002"> 米</t年代p一个n> <tspan style="font-size: 12.50px; " x="-118.56918" y="34.240002"> 一个</t年代p一个n> <tspan style="font-size: 12.50px; " x="-113.01785" y="34.240002"> x</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,152.97,9.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,155.71,7.2)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,159.34,9.38)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="9.8459997" y="0"> ≤</t年代p一个n> <tspan style="font-size: 8.75px; " x="15.84112" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,177.92,7.2)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,183.63,14.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.1900001" y="-4.0999999"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.1900001" y="-0.93000001"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.6899996" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,199.64,22.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,205.2,17.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.83" y="-1.58"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.83" y="1.59"> |</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.450001" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1599998" y="0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.6613197" y="0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.33" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="25.594723" y="2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,243.53,13.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,251.18,17.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,269.4,13.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,274.28,14.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.3199997" y="-2.51"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.347885" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.364227" y="-2.51"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.840061" y="-2.51"> f</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.179565" y="-2.51"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.894394" y="-2.51"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.934784" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,352.1,13.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,359.75,17.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,377.97,13.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,386.32,17.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,404.65,13.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,409.52,17.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.970001" y="-18.16"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.133499" y="-18.16"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.384998" y="-18.16"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="62.51075" y="-18.16"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="68.762253" y="-18.16"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="75.013748" y="-18.16"> )</t年代p一个n> </text> </g> </g> </svg></span>然后<年代vg height="14.6625" id="M98" style="vertical-align:-3.13504pt;width:96.262497px;" version="1.1" viewbox="0 0 96.262497 14.6625" width="96.262497" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6625)"> <g transform="translate(72,-60.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-57.82,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-52.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> ∶</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.204847" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.557331" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.597721" y="0"> Ω</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.899952" y="0"> }</t年代p一个n> </text> </g> </g> </svg>一致有界和同等连续的吗<年代vg height="14.75" id="M99" style="vertical-align:-3.25793pt;width:42.5px;" version="1.1" viewbox="0 0 42.5 14.75" width="42.5" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-63.87,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,因此<年代vg height="14.6" id="M100" style="vertical-align:-3.13504pt;width:28px;" version="1.1" viewbox="0 0 28 14.6" width="28" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>相对紧凑的子集<年代vg height="14.75" id="M101" style="vertical-align:-3.25793pt;width:81.474998px;" version="1.1" viewbox="0 0 81.474998 14.75" width="81.474998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.389513" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.553012" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.716511" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-51.32,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-46.45,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.791529" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.955029" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.156277" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="35.408497" y="0"> )</t年代p一个n> </text> </g> </g> </svg>。由引理<一个href="#lem1.1">1。1</一个>有一个<年代vg height="14.75" id="M102" style="vertical-align:-3.25793pt;width:45.825001px;" version="1.1" viewbox="0 0 45.825001 14.75" width="45.825001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.07,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.73,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> Ω</t年代p一个n> </text> </g> </g> </svg>这样<年代vg height="14.625" id="M103" style="vertical-align:-3.25793pt;width:113.7375px;" version="1.1" viewbox="0 0 113.7375 14.625" width="113.7375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.625)"> <g transform="translate(72,-60.3)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-58.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-52.07,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-44.42,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-24.95,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-20.08,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-13.2,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-4.85,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,14.06,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>。我们得出这样的结论:<年代vg height="14.75" id="M104" style="vertical-align:-3.25793pt;width:30.112499px;" version="1.1" viewbox="0 0 30.112499 14.75" width="30.112499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-65.07,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-60.2,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> </text> </g> </g> </svg>是一个积极的解决方案(<一个href="#EEq1">1。1</一个>)。证明已经完成。</年代p一个n></p> <p><span class="statement" id="coro2.1"><span class="statement-title">推论2.2。</年代p一个n><i>假设存在的功能<年代vg height="17.8375" id="M105" style="vertical-align:-3.25793pt;width:157.675px;" version="1.1" viewbox="0 0 157.675 17.8375" width="157.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.8375)"> <g transform="translate(72,-57.73)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.12767" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.930021" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.970409" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-29.59,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-24.71,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-12.47,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-7.6,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.942526" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.156277" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.319775" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.571274" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.785027" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.362804" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.526302" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,不断<年代vg height="11.0625" id="M106" style="vertical-align:-0.30096pt;width:33.8125px;" version="1.1" viewbox="0 0 33.8125 11.0625" width="33.8125" 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p一个n> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> ></t年代p一个n> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="13.7" id="M107" style="vertical-align:-3.25793pt;width:70.224998px;" version="1.1" viewbox="0 0 70.224998 13.7" width="70.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.7)"> <g transform="translate(72,-61.04)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-68.04,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.69,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-43.74,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-36.09,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> </g> </g> </svg>这样,(<一个href="#EEq2">2.1</一个>),(<一个href="#EEq4">2.3</一个>),</我><年代p一个n class="equation" id="EEq7"> <svg height="17.25" id="M108" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 17.25" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.25)"> <g transform="translate(72,-58.2)"> <text transform="matrix(1,0,0,-1,131.1,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,137.43,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,142.99,62.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,175.28,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,180.84,62.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.703768" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.744158" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.995659" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.161797" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,233.92,58.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,242.27,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.457548" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,277.65,58.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,282.52,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="175.97" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="180.1335" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="186.38499" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="189.51074" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="195.76225" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="202.01375" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span><i>然后(<一个href="#EEq1">1。1</一个>)有一个正解有界的功能<年代vg height="9.4875002" id="M109" style="vertical-align:-1.76814pt;width:21.950001px;" version="1.1" viewbox="0 0 21.950001 9.4875002" width="21.950001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.4875)"> <g transform="translate(72,-64.41)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.12767" y="0"> </t年代p一个n> </text> </g> </g> </svg>。</我></年代p一个n></p> <p><span class="statement" id="proof2"><span class="statement-title"><i class="statement-title">证明。</我></年代p一个n>我们只需要证明条件(<一个href="#EEq7">2.21</一个>)意味着(<一个href="#EEq3">2.2</一个>)。让<年代vg height="14.5375" id="M110" style="vertical-align:-3.25793pt;width:63.299999px;" version="1.1" viewbox="0 0 63.299999 14.5375" width="63.299999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5375)"> <g transform="translate(72,-60.37)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.580658" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-44.45,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-39.57,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-30.45,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-25.58,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>并设置<年代p一个n class="equation" id="eq17"> <svg height="19.35" id="M111" 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,-1,114.5,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="85.059998" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="90.910004" y="7.1054274e-015"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.12" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.283499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.196938" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.836271" y="-0.0099999998"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.864159" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="50.278675" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.442177" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="58.355614" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.294777" y="-0.0099999998"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.635002" y="-0.0099999998"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,209.32,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,214.2,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="62.349998" y="7.1054274e-015"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="68.199997" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.957718" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.98" y="-2.52"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.143497" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.056938" y="-2.52"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.996101" y="-2.52"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.336323" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,286.32,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,291.19,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.51"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="167.3" y="-2.51"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="171.4635" y="-2.51"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="177.715" y="-2.51"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="180.84074" y="-2.51"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="187.09225" y="-2.51"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="193.34375" y="-2.51"> )</t年代p一个n> </text> </g> </g> </svg></span>然后对(<一个href="#EEq7">2.21</一个>),它遵循<年代p一个n class="equation" id="eq18"> <svg height="15.75" id="M112" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 15.75" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.75)"> <g transform="translate(72,-59.4)"> <text transform="matrix(1,0,0,-1,108.78,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> ′</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.603985" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.767483" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="24.680922" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.320255" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.360645" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="50.68716" y="0"> ′</t年代p一个n> <tspan style="font-size: 12.50px; " x="56.388531" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="60.552029" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="64.465469" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.404633" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="82.744858" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="88.671272" y="0"> ′</t年代p一个n> <tspan style="font-size: 12.50px; " x="94.372643" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="98.53614" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="102.44958" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="110.08891" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="122.1168" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="128.3683" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="143.54694" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,256.25,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,264.59,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.457548" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,299.97,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,304.84,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="153.64999" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="157.81349" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="164.065" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="167.19075" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="173.44225" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="179.69376" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span>自<年代vg height="14.6" id="M113" style="vertical-align:-3.13504pt;width:62.362499px;" version="1.1" viewbox="0 0 62.362499 14.6" width="62.362499" 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p一个n> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.078618" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-52.96,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-48.08,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="13.4875" id="M114" style="vertical-align:-2.21957pt;width:60.787498px;" version="1.1" viewbox="0 0 60.787498 13.4875" width="60.787498" 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,-71.95,63.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> ′</t年代p一个n> <tspan style="font-size: 12.50px; " x="14.528486" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.691984" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.605425" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.232254" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.272644" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>为<年代vg height="14.5375" id="M115" style="vertical-align:-3.25793pt;width:63.299999px;" version="1.1" viewbox="0 0 63.299999 14.5375" width="63.299999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5375)"> <g transform="translate(72,-60.37)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.580658" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-44.45,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-39.57,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-30.45,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-25.58,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>,这意味着<年代p一个n class="equation" id="eq19"> <svg height="19.35" id="M116" 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,-1,70.82,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="85.059998" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="90.910004" y="7.1054274e-015"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.12" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.283499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.196938" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="29.823769" y="-0.0099999998"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.864159" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="50.278675" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.442177" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="58.355614" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.294777" y="-0.0099999998"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.635002" y="-0.0099999998"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,165.64,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,170.52,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="62.349998" y="7.1054274e-015"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="68.199997" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.957718" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="27.98" y="-2.52"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.143497" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.056938" y="-2.52"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.996101" y="-2.52"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.336323" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,242.64,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,247.51,58.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.3299999" y="-2.51"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.357885" y="-2.51"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.609386" y="-2.51"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.775524" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,294.21,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,302.56,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.457548" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,337.93,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,342.81,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="115.68" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="119.8435" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="126.095" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="129.22075" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="135.47224" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="141.72375" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span>因此所有条件的定理<一个href="#thm2.1">2.1</一个>感到满意。</年代p一个n></p> <p><span class="statement" id="coro2.2"><span class="statement-title">推论2.3。</年代p一个n><i>假设存在一个函数<年代vg height="17.8375" id="M117" style="vertical-align:-3.25793pt;width:143.7625px;" version="1.1" viewbox="0 0 143.7625 17.8375" width="143.7625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.8375)"> <g transform="translate(72,-57.73)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7898493" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.830238" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-40.72,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-35.85,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-23.61,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-18.73,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.942526" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.156277" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.319775" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.571274" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.772522" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.3503" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.513802" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,不断<年代vg height="11.0625" id="M118" style="vertical-align:-0.30096pt;width:33.8125px;" version="1.1" viewbox="0 0 33.8125 11.0625" width="33.8125" 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p一个n> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> ></t年代p一个n> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="13.7" id="M119" style="vertical-align:-3.25793pt;width:70.224998px;" version="1.1" viewbox="0 0 70.224998 13.7" width="70.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.7)"> <g transform="translate(72,-61.04)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-68.04,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.69,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-43.74,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-36.09,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> </g> </g> </svg>这样</我><年代p一个n class="equation" id="EEq8"> <svg height="38.575001" id="M120" 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,-1,36.95,53.45)"> <tspan style="font-size: 12.50px; " x="54.77" y="-7.25"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3520041" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.515503" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.428942" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.068275" y="0"> =</t年代p一个n> </text> <g> <path d="m 74.26,56.57 41.17,0" 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,-1,74.26,44.69)"> <tspan style="font-size: 12.50px; " x="44.450001" y="-1.4299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="88.599998" y="-1.0599999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.4020157" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.565515" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.25462" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.607344" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.008881" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.830002" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="62.232018" y="-8.7600002"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="66.395515" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="70.308952" y="-8.7600002"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="77.248116" y="-8.7600002"> +</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,169.87,67.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,180.55,53.45)"> <tspan style="font-size: 12.50px; " x="100.9" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.633308" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="38.79681" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.198826" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.362324" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="59.651814" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.992035" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="78.331291" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="82.494797" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="88.733788" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="95.385384" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="113.75" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="125.77789" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="134.44246" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="146.48285" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="152.73436" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="167.9005" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="175.28976" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="187.33015" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,371.8,50.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,376.67,53.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="81.82" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.983498" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="92.235001" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="95.360748" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="101.61225" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="107.86375" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span><i>然后(<一个href="#EEq1">1。1</一个>)有一个解决方案<年代vg height="14.6" id="M121" style="vertical-align:-3.13504pt;width:113.6px;" version="1.1" viewbox="0 0 113.6 14.6" width="113.6" 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p一个n> <tspan style="font-size: 12.50px; " x="6.8766499" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.953588" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.580418" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.620808" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="40.947327" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.110825" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="49.024261" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.187763" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="62.565014" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="69.954285" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="81.994675" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,13.96,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>。</我></年代p一个n></p> <p><span class="statement" id="proof3"><span class="statement-title"><i class="statement-title">证明。</我></年代p一个n>我们把<年代vg height="13.45" id="M122" style="vertical-align:-2.21957pt;width:65.425003px;" version="1.1" viewbox="0 0 65.425003 13.45" width="65.425003" 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p一个n> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.00336" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.63019" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.670578" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="39.997097" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.160595" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="48.074036" y="0"> )</t年代p一个n> </text> </g> </g> </svg>并应用定理<一个href="#thm2.1">2.1</一个>。</年代p一个n></p> <p><span class="statement" id="thm2.2"><span class="statement-title">定理2.4。</年代p一个n><i>假设存在的功能<年代vg height="17.8375" id="M123" style="vertical-align:-3.25793pt;width:157.675px;" version="1.1" viewbox="0 0 157.675 17.8375" width="157.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.8375)"> <g transform="translate(72,-57.73)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.12767" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.930021" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.970409" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-29.59,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-24.71,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-12.47,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-7.6,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.942526" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.156277" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.319775" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.571274" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.785027" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.362804" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.526302" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,不断<年代vg height="11.0625" id="M124" style="vertical-align:-0.30096pt;width:33.8125px;" version="1.1" viewbox="0 0 33.8125 11.0625" width="33.8125" 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p一个n> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> ></t年代p一个n> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="13.7" id="M125" style="vertical-align:-3.25793pt;width:70.224998px;" version="1.1" viewbox="0 0 70.224998 13.7" width="70.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.7)"> <g transform="translate(72,-61.04)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-68.04,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.69,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-43.74,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-36.09,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> </g> </g> </svg>这样,(<一个href="#EEq2">2.1</一个>),(<一个href="#EEq3">2.2</一个>)和(<一个href="#EEq4">2.3</一个>),</我><年代p一个n class="equation" id="EEq9"> <svg height="23.637501" id="M126" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 23.637501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,23.6375)"> <g transform="translate(72,-53.09)"> <text transform="matrix(1,0,0,-1,176.22,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> l</t年代p一个n> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> 我</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> 米</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,174.67,55.7)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="4.2009602" y="0"> →</t年代p一个n> <tspan style="font-size: 8.75px; " x="13.758144" y="0"> ∞</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,196.54,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.4020157" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.565515" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.478954" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.118286" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.158676" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.410175" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="261.95001" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="266.11349" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="272.36499" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="275.49075" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="281.74225" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="287.99374" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span><i>然后(<一个href="#EEq1">1。1</一个>)有一个正解有界的功能<年代vg height="9.4875002" id="M127" style="vertical-align:-1.76814pt;width:21.950001px;" version="1.1" viewbox="0 0 21.950001 9.4875002" width="21.950001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.4875)"> <g transform="translate(72,-64.41)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.12767" y="0"> </t年代p一个n> </text> </g> </g> </svg>和趋向于零。</我></年代p一个n></p> <p><span class="statement" id="proof4"><span class="statement-title"><i class="statement-title">证明。</我></年代p一个n>定理的证明类似<一个href="#thm2.1">2.1</一个>我们忽略它。</年代p一个n></p> <p><span class="statement" id="coro2.3"><span class="statement-title">推论2.5。</年代p一个n><i>假设存在的功能<年代vg height="17.8375" id="M128" style="vertical-align:-3.25793pt;width:157.675px;" version="1.1" viewbox="0 0 157.675 17.8375" width="157.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.8375)"> <g transform="translate(72,-57.73)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.12767" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.930021" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.970409" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-29.59,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-24.71,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-12.47,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-7.6,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.942526" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.156277" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.319775" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.571274" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.785027" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.362804" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.526302" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,不断<年代vg height="11.0625" id="M129" style="vertical-align:-0.30096pt;width:33.8125px;" version="1.1" viewbox="0 0 33.8125 11.0625" width="33.8125" 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p一个n> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> ></t年代p一个n> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="13.7" id="M130" style="vertical-align:-3.25793pt;width:70.224998px;" version="1.1" viewbox="0 0 70.224998 13.7" width="70.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.7)"> <g transform="translate(72,-61.04)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-68.04,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.69,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-43.74,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-36.09,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> </g> </g> </svg>这样,(<一个href="#EEq2">2.1</一个>),(<一个href="#EEq4">2.3</一个>),(<一个href="#EEq7">2.21</一个>)和(<一个href="#EEq9">2.26</一个>)举行。然后(<一个href="#EEq1">1。1</一个>)有一个正解有界的功能<年代vg height="9.4875002" id="M131" style="vertical-align:-1.76814pt;width:21.950001px;" version="1.1" viewbox="0 0 21.950001 9.4875002" width="21.950001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.4875)"> <g transform="translate(72,-64.41)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.12767" y="0"> </t年代p一个n> </text> </g> </g> </svg>和趋向于零。</我></年代p一个n></p> <p><span class="statement" id="proof5"><span class="statement-title"><i class="statement-title">证明。</我></年代p一个n>推论的证明类似<一个href="#coro2.1">2.2</一个>,我们忽略了它。</年代p一个n></p> <p><span class="statement" id="coro2.4"><span class="statement-title">推论2.6。</年代p一个n><i>假设存在一个函数<年代vg height="17.8375" id="M132" style="vertical-align:-3.25793pt;width:143.7625px;" version="1.1" viewbox="0 0 143.7625 17.8375" width="143.7625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.8375)"> <g transform="translate(72,-57.73)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7898493" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.830238" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-40.72,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-35.85,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-23.61,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-18.73,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="20.942526" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.156277" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.319775" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.571274" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.772522" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.3503" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.513802" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,不断<年代vg height="11.0625" id="M133" style="vertical-align:-0.30096pt;width:33.8125px;" version="1.1" viewbox="0 0 33.8125 11.0625" width="33.8125" 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p一个n> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> ></t年代p一个n> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="13.7" id="M134" style="vertical-align:-3.25793pt;width:70.224998px;" version="1.1" viewbox="0 0 70.224998 13.7" width="70.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.7)"> <g transform="translate(72,-61.04)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-68.04,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-59.69,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-43.74,61.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-36.09,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> </g> </g> </svg>这样,(<一个href="#EEq8">2.25</一个>),(<一个href="#EEq9">2.26</一个>)举行。然后(<一个href="#EEq1">1。1</一个>)有一个解决方案<年代vg height="14.6" id="M135" style="vertical-align:-3.13504pt;width:113.6px;" version="1.1" viewbox="0 0 113.6 14.6" width="113.6" 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p一个n> <tspan style="font-size: 12.50px; " x="6.8766499" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.953588" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.580418" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.620808" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="40.947327" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.110825" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="49.024261" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="53.187763" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="62.565014" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="69.954285" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="81.994675" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,13.96,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>倾向于零。</我></年代p一个n></p> <p><span class="statement" id="proof6"><span class="statement-title"><i class="statement-title">证明。</我></年代p一个n>我们把<年代vg height="13.45" id="M136" style="vertical-align:-2.21957pt;width:65.425003px;" version="1.1" viewbox="0 0 65.425003 13.45" width="65.425003" 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p一个n> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.00336" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.63019" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.670578" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="39.997097" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="44.160595" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="48.074036" y="0"> )</t年代p一个n> </text> </g> </g> </svg>并应用定理<一个href="#thm2.2">2.4</一个>。</年代p一个n></p> <h4 id="applications-and-examples">3所示。应用程序和例子</h4> <p>在本节中,我们给出一些应用上面的定理。</p><p><年代p一个n class="statement" id="thm3.1"><span class="statement-title">定理3.1。</年代p一个n><i>假设</我><年代p一个n class="equation" id="EEq10"> <svg height="39.575001" id="M137" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 39.575001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,39.575)"> <g transform="translate(72,-40.34)"> <text transform="matrix(1,0,0,-1,167.88,46.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,174.88,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,176.37,40.47)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,185.57,54.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.266403" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.517902" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.169498" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.558773" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.586658" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="60.164436" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="279.17999" y="1.12"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="283.34351" y="1.12"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="289.595" y="1.12"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="292.72076" y="1.12"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="298.97226" y="1.12"> )</t年代p一个n> </text> </g> </g> </svg></span><i> <svg height="14.6" id="M138" style="vertical-align:-3.13504pt;width:75.837502px;" version="1.1" viewbox="0 0 75.837502 14.6" width="75.837502" 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"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7148314" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-43.41,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-35.06,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-16.25,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> </g> </g> </svg>和存在常数<年代vg height="14.75" id="M139" style="vertical-align:-3.25793pt;width:162.5px;" version="1.1" viewbox="0 0 162.5 14.75" width="162.5" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> ></t年代p一个n> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.943966" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.321217" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="46.148575" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="58.188961" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.44046" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="73.817711" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,5.78,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,14.13,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,30.08,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,37.73,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> </g> </g> </svg>这样</我><年代p一个n class="equation" id="EEq11"> <svg height="248.5125" id="M140" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 248.5125" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,248.5125)"> <g transform="translate(72,126.81)"> <text transform="matrix(1,0,0,-1,114.9,62.1)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,121.68,58.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <g> <path d="m 114.9,56.09 11.65,0" 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,-1,114.9,44.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,121.68,41.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,129.83,52.96)"> <tspan style="font-size: 12.50px; " x="22.219999" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="31.6" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.450001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> p</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,174.06,49.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,181.71,52.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,199.83,49.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,204.7,50.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9400001" y="5.1900001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,219.64,66.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,222.38,64.8)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,218.39,41.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,221.13,39.27)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,224.75,41.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,237.78,52.96)"> <tspan style="font-size: 12.50px; " x="33.09" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-131.8" y="49.060001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.266403" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.517902" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.169498" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="45.939999" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.967888" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.219383" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="226.97" y="0.51999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="231.1335" y="0.51999998"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="237.38499" y="0.51999998"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="240.51074" y="0.51999998"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="246.76225" y="0.51999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="-154.02" y="41.73"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="-148.46867" y="41.73"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="-142.21716" y="41.73"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="-122.42" y="41.73"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="-113.85545" y="41.73"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,130.7,8.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,137.66,3.53)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,144.66,25.26)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="1.4893759" y="25.530001"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="7.4844961" y="25.530001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,159.2,11.23)"> <tspan style="font-size: 12.50px; " x="36.27" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="81.989998" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="91.370003" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.2019682" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.365467" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.866787" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.75738" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="48.419998" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.76022" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.311554" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.563049" y="0"> p</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,257.34,8.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,264.3,3.53)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,271.3,25.26)"> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7344961" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,272.79,-2.45)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,276.42,-0.27)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,289.44,11.23)"> <tspan style="font-size: 12.50px; " x="36.259998" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-188.73" y="41.240002"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="-178.64" y="48.939999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.75738" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,117.8,-15.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,128.49,-30.01)"> <tspan style="font-size: 12.50px; " x="34.630001" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="66.230003" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.093281" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="44.009998" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.561333" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="55.812832" y="0"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="75.610001" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="84.174553" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,219.44,-33.14)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,226.39,-37.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,233.4,-15.98)"> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="3.8508799" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="9.8459997" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,234.89,-43.7)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,238.51,-41.51)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,251.53,-30.01)"> <tspan style="font-size: 12.50px; " x="-123.55" y="49.060001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.391912" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.643414" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="31.29501" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.34" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="46.717251" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="58.18" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="64.831596" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="73.796249" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.836639" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="94.201141" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="98.364639" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="102.27808" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="-159.89" y="41.73"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="-145.77411" y="41.73"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="-140.22278" y="41.73"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="-133.97128" y="41.73"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="-114.17" y="41.73"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="-105.60545" y="41.73"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,152.7,-74.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,159.66,-79.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,166.66,-57.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="1.4893759" y="25.530001"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="7.4844961" y="25.530001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,181.21,-71.74)"> <tspan style="font-size: 12.50px; " x="36.259998" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="81.980003" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="91.360001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.75738" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="48.419998" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.76022" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.311554" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.563049" y="0"> p</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,279.35,-74.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,286.31,-79.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,293.31,-57.71)"> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7344961" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,294.8,-85.43)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,298.42,-83.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,311.44,-71.74)"> <tspan style="font-size: 12.50px; " x="36.27" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-220.59" y="41.25"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="-210.5" y="48.939999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.75738" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,107.94,-98.96)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,118.63,-112.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="34.630001" y="7.3200002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="66.230003" y="7.3200002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1899996" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.353499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854818" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.093817" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="44.009998" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.561333" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="55.812832" y="0"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="75.610001" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="84.174553" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,209.58,-116.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,216.54,-120.68)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,223.54,-98.96)"> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="3.8508799" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="9.8459997" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,225.03,-126.67)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,228.65,-124.48)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,241.67,-112.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1999998" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.363499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.402449" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.641445" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="31.293041" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.34" y="7.3200002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="46.717251" y="7.3200002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="58.18" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="64.831596" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="73.796249" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.836639" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="94.501213" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="106.5416" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="112.79311" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="134.67336" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="142.05013" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="154.09052" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,399.68,-116.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,404.56,-112.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="60.189999" y="-61.599998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.3535" y="-61.599998"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.604996" y="-61.599998"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="73.730751" y="-61.599998"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="79.982246" y="-61.599998"> )</t年代p一个n> </text> </g> </g> </svg></span><i><span class="displayed-label" id="eq20"></span>然后(<一个href="#EEq1">1。1</一个>)有一个正解趋于零。</我></年代p一个n></p> <p><span class="statement" id="proof7"><span class="statement-title"><i class="statement-title">证明。</我></年代p一个n>我们设置<年代p一个n class="equation" id="eq21"> <svg height="41.075001" id="M142" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 41.075001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,41.075)"> <g transform="translate(72,-39.14)"> <text transform="matrix(1,0,0,-1,14.81,52.96)"> <tspan style="font-size: 12.50px; " x="57.990002" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0019197" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.165419" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.078857" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.718191" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.758579" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.309914" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.561413" y="0"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="67.360001" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="75.924553" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,97.51,49.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,104.47,45.26)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,111.47,66.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,112.96,39.27)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,116.59,41.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,129.61,52.96)"> <tspan style="font-size: 12.50px; " x="36.259998" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="121.28" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.75738" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.720001" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="62.886139" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="71.300659" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="75.464157" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="79.377594" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="87.01693" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="99.05732" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="104.60865" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="110.86015" y="0"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="130.66" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="139.22455" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,275.61,49.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,282.57,45.26)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,289.57,66.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,291.06,39.27)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,294.68,41.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,307.71,52.96)"> <tspan style="font-size: 12.50px; " x="36.259998" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.093281" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.720001" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="62.886139" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="70.275414" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="82.315804" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,393.94,49.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,398.81,52.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.940002" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="70.1035" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.354996" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="79.480751" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.732246" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span>我们将证明推论的条件<一个href="#coro2.3">2.5</一个>感到满意。关于(<一个href="#EEq7">2.21</一个>),<年代vg height="14.5375" id="M143" style="vertical-align:-3.25793pt;width:63.299999px;" version="1.1" viewbox="0 0 63.299999 14.5375" width="63.299999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5375)"> <g transform="translate(72,-60.37)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="23.580658" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-44.45,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-39.57,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-30.45,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-25.58,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代p一个n> </text> </g> </g> </svg>,我们得到<年代p一个n class="equation" id="eq22"> <svg height="173.7375" id="M144" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 173.7375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,173.7375)"> <g transform="translate(72,66.99)"> <text transform="matrix(1,0,0,-1,27.38,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,33.71,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,39.26,62.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,71.55,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,77.11,62.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.703768" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.744158" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.308712" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,120.2,58.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,125.08,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1999998" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.363499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.276937" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.515936" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.917952" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="35.081451" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="38.994888" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.946556" y="-0.0099999998"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.286777" y="-0.0099999998"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,189.15,58.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,194.02,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-43.900002" y="39.029999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1999998" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.363499" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.276937" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.515936" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.530357" y="-0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.693855" y="-0.0099999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="38.607296" y="-0.0099999998"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="-101.2" y="31.700001"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="-89.159615" y="31.700001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-80.970146" y="31.700001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="-76.806648" y="31.700001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-72.893211" y="31.700001"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="-66.641708" y="31.700001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-58.227188" y="31.700001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="-54.06369" y="31.700001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-50.150249" y="31.700001"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="-37.549999" y="31.700001"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="-28.985445" y="31.700001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,171.81,27.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,179.47,30.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,197.58,27.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,202.46,30.3)"> <tspan style="font-size: 12.50px; " x="44.560001" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="53.93" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.0019197" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.165419" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.078857" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.330359" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.881689" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.13319" y="0"> p</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,263.17,27.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,270.13,22.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,277.13,44.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,278.62,16.61)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,282.24,18.8)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,295.27,30.3)"> <tspan style="font-size: 12.50px; " x="-145.14999" y="49.060001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.75738" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.259998" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="45.637249" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-202.45" y="41.73"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="-190.40961" y="41.73"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-182.22014" y="41.73"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="-178.05664" y="41.73"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-174.1432" y="41.73"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="-167.89171" y="41.73"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-159.47719" y="41.73"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="-155.31369" y="41.73"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-151.40025" y="41.73"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="-138.8" y="41.73"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="-130.23544" y="41.73"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,171.81,-14.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,179.47,-11.43)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,197.58,-14.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,204.54,-11.43)"> <tspan style="font-size: 12.50px; " x="22.23" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="31.6" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.450001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> p</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,248.77,-14.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,256.42,-11.43)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,274.54,-14.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,279.42,-13.95)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9299998" y="5.1799998"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,294.35,2.59)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,295.84,-25.12)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,299.47,-22.93)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,312.49,-11.43)"> <tspan style="font-size: 12.50px; " x="-162.37" y="49.060001"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.75738" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.259998" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="45.637249" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-219.67" y="41.73"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="-207.62961" y="41.73"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-199.44014" y="41.73"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="-195.27664" y="41.73"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-191.3632" y="41.73"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="-185.11171" y="41.73"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-176.69719" y="41.73"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="-172.53369" y="41.73"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-168.62025" y="41.73"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="-156.02" y="41.73"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="-147.45544" y="41.73"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,171.81,-56.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,179.47,-53.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,197.58,-56.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,204.54,-53.16)"> <tspan style="font-size: 12.50px; " x="22.23" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="31.6" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.450001" y="-7.1054274e-015"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> p</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,248.77,-56.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,256.42,-53.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,274.54,-56.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,279.42,-55.68)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9299998" y="5.1799998"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,294.35,-39.13)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,297.09,-41.32)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,293.1,-64.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,295.84,-66.85)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,299.47,-64.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,312.49,-53.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.75738" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.259998" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="45.637249" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="55.470001" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="67.497887" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="73.74939" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="152.25999" y="-52.540001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="156.42349" y="-52.540001"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="162.675" y="-52.540001"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="165.80075" y="-52.540001"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="172.05225" y="-52.540001"> )</t年代p一个n> </text> </g> </g> </svg></span>其他条件的必然结果<一个href="#coro2.3">2.5</一个>也满意。证明已经完成。</年代p一个n></p> <p><span class="statement" id="coro3.1"><span class="statement-title">推论3.2。</年代p一个n><i>假设<年代vg height="14.75" id="M145" style="vertical-align:-3.25793pt;width:163.03751px;" version="1.1" viewbox="0 0 163.03751 14.75" width="163.03751" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.239957" y="0"> ></t年代p一个n> <tspan style="font-size: 12.50px; " x="22.280346" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.531845" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.909096" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="46.573673" y="0"> ></t年代p一个n> <tspan style="font-size: 12.50px; " x="58.614063" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="64.865562" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="74.242813" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,6.21,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,14.56,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,30.51,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,38.16,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> </g> </g> </svg>,(<一个href="#EEq10">3所示。1</一个>)持有,</我><年代p一个n class="equation" id="eq23"> <svg height="92.637497" id="M146" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 92.637497" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,92.6375)"> <g transform="translate(72,2.11)"> <text transform="matrix(1,0,0,-1,34.62,52.96)"> <tspan style="font-size: 12.50px; " x="58.34" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="85.139999" y="7.6999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3520041" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.515503" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.428942" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.068275" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.108665" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.659996" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="47.911495" y="0"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="67.709999" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.274551" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,126.76,66.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="1.4893759" y="25.530001"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="7.4844961" y="25.530001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,141.31,52.96)"> <tspan style="font-size: 12.50px; " x="36.259998" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="81.980003" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="91.360001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="100.22" y="7.6999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.75738" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="48.419998" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.747719" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.299049" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="71.550552" y="0"> p</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,248.53,66.99)"> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="8.7344961" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,250.02,39.27)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,264.33,52.96)"> <tspan style="font-size: 12.50px; " x="36.259998" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-196.37" y="41.240002"> ×</t年代p一个n> <tspan style="font-size: 12.50px; " x="-183.5" y="48.939999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.75738" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,87.83,25.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,98.52,11.72)"> <tspan style="font-size: 12.50px; " x="34.630001" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="66.230003" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="93.029999" y="7.6999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="44.009998" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.561333" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="55.812832" y="0"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="75.610001" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="84.174553" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,198.55,25.74)"> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="3.8508799" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="9.8459997" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,200.04,-1.97)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,216.12,11.72)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.391912" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.643414" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="31.29501" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.34" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="46.717251" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="58.18" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="64.831596" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="73.796249" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.836639" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="94.501213" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="106.5291" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="112.7806" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="134.66086" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="142.05013" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="154.09052" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,374.13,8.59)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,379,11.72)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.75" y="-20.1"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="89.913498" y="-20.1"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="96.165001" y="-20.1"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="99.290749" y="-20.1"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="105.54225" y="-20.1"> )</t年代p一个n> </text> </g> </g> </svg></span><i>然后(<一个href="#EEq1">1。1</一个>)有一个解决方案</我><年代p一个n class="equation" id="eq24"> <svg height="41.075001" id="M147" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 41.075001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,41.075)"> <g transform="translate(72,-39.14)"> <text transform="matrix(1,0,0,-1,111.04,52.96)"> <tspan style="font-size: 12.50px; " x="58.939999" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="85.739998" y="7.6999998"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.9521484" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="13.115647" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.029085" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.668419" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.708809" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.260139" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.511639" y="0"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="68.309998" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="76.874557" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,203.78,66.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 8.75px; " x="-1.25" y="25.530001"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,205.27,39.27)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,211.48,52.96)"> <tspan style="font-size: 12.50px; " x="36.259998" y="7.3299999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.1894646" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.352964" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.093281" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.720001" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="62.886139" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="70.275414" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="82.303299" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,297.71,49.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,302.58,52.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="162.17" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="166.3335" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="172.58499" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="175.71075" y="0"> 7</t年代p一个n> <tspan style="font-size: 12.50px; " x="181.96225" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span><i>倾向于零。</我></年代p一个n></p> <p><span class="statement" id="proof8"><span class="statement-title"><i class="statement-title">证明。</我></年代p一个n>我们把<年代vg height="14.6" id="M148" style="vertical-align:-3.13504pt;width:123.3625px;" version="1.1" viewbox="0 0 123.3625 14.6" width="123.3625" 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p一个n> </text> <text transform="matrix(1,0,0,-1,-65.17,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-56.83,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-38.01,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-29.66,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.804512" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.181763" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="38.009121" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="50.037006" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>并应用定理<一个href="#thm3.1">3所示。1</一个>。</年代p一个n></p> <p><span class="statement" id="ex3.1"><span class="statement-title"><i class="statement-title">例3.3。</我></年代p一个n>考虑到非线性中立型微分方程<年代p一个n class="equation" id="EEq12"> <svg height="18.4625" id="M149" 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,-1,94.35,60.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="103.75" y="0"> ]</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1599998" y="-0.039999999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="13.124651" y="-0.039999999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.288151" y="-0.039999999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="21.20159" y="-0.039999999"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.140755" y="-0.039999999"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.480976" y="-0.039999999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.845482" y="-0.039999999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="52.00898" y="-0.039999999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="55.922421" y="-0.039999999"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="62.161415" y="-0.039999999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="71.126068" y="-0.039999999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="75.289566" y="-0.039999999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="81.978668" y="-0.039999999"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="93.318893" y="-0.039999999"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="99.570396" y="-0.039999999"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,202.26,66.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,209.21,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="18.141853" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,234.23,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,241.19,61.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.852604" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.192825" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.444324" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.695824" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.861965" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="57.251236" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="69.291626" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,314.4,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,319.27,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="145.48" y="-0.46000001"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="149.64349" y="-0.46000001"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="155.895" y="-0.46000001"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="159.02075" y="-0.46000001"> 8</t年代p一个n> <tspan style="font-size: 12.50px; " x="165.27225" y="-0.46000001"> )</t年代p一个n> </text> </g> </g> </svg></span>在哪里<年代vg height="13.55" id="M150" style="vertical-align:-2.29482pt;width:66.362503px;" version="1.1" viewbox="0 0 66.362503 13.55" width="66.362503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.5772982" y="0"> ∈</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="25.781185" y="0"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.032684" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.246437" y="0"> ∞</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.824215" y="0"> )</t年代p一个n> </text> </g> </g> </svg>。我们将证明定理的条件<一个href="#thm3.1">3所示。1</一个>感到满意。条件(<一个href="#EEq10">3所示。1</一个>)显然认为,(<一个href="#EEq11">3所示。2</一个>)的一种形式<年代p一个n class="equation" id="EEq13"> <svg height="36.837502" id="M151" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 36.837502" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,36.8375)"> <g transform="translate(72,-42.53)"> <text transform="matrix(1,0,0,-1,140.26,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,147.04,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <g> <path d="m 140.26,57.58 11.65,0" 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,-1,140.26,45.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,147.04,42.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,155.19,54.46)"> <tspan style="font-size: 12.50px; " x="33.93" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.23" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.081404" y="2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,195.9,51.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,203.55,54.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,221.67,51.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,226.54,51.95)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.4" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.053967" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="29.73" y="-2.51"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="41.757885" y="-2.51"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.009384" y="-2.51"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="238.21001" y="-2.51"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="242.3735" y="-2.51"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="248.625" y="-2.51"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="251.75075" y="-2.51"> 9</t年代p一个n> <tspan style="font-size: 12.50px; " x="258.00226" y="-2.51"> )</t年代p一个n> </text> </g> </g> </svg></span> <svg height="14.6" id="M152" style="vertical-align:-3.13504pt;width:122.7125px;" version="1.1" viewbox="0 0 122.7125 14.6" width="122.7125" 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"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.7148314" y="0"> <</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-43.41,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-35.06,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-16.25,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-11.38,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.3772497" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="19.204609" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="31.232494" y="0"> 0</t年代p一个n> </text> </g> </g> </svg>。对于功能<年代vg height="13.45" id="M153" style="vertical-align:-2.21957pt;width:23.275px;" version="1.1" viewbox="0 0 23.275 13.45" width="23.275" 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p一个n> <tspan style="font-size: 12.50px; " x="6.2765059" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.440005" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.353444" y="0"> )</t年代p一个n> </text> </g> </g> </svg>,我们获得<年代p一个n class="equation" id="eq25"> <svg height="110.725" id="M154" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 110.725" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,110.725)"> <g transform="translate(72,16.58)"> <text transform="matrix(1,0,0,-1,4.11,56.25)"> <tspan style="font-size: 12.50px; " x="22.219999" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.08" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.644554" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.896053" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="49.010021" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,59.89,53.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,64.77,53.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.52"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.99" y="-9.7700005"> 1</t年代p一个n> </text> <g> <path d="m 85.94,59.37 17.9,0" 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,-1,85.94,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,98.96,44.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,107.12,56.25)"> <tspan style="font-size: 12.50px; " x="22.219999" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.07" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.27" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.060001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> p</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,154.95,53.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,161.91,53.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.97719" y="-2.52"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.317411" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,192.15,53.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,199.8,56.25)"> <tspan style="font-size: 12.50px; " x="17.6" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.23" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.570221" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.82172" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,250.4,53.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,257.36,53.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.97719" y="-2.52"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.317411" y="-2.52"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,287.6,53.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,295.25,56.25)"> <tspan style="font-size: 12.50px; " x="17.59" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="26.219999" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.57" y="2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="43.419998" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,345.44,53.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,353.1,56.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.579218" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,377.47,53.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,382.34,53.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.52"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-284.45999" y="31.66"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.85" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.638649" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-356.91" y="29.139999"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="-344.88211" y="29.139999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-336.51761" y="29.139999"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="-332.3541" y="29.139999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-328.44067" y="29.139999"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="-320.81384" y="29.139999"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="-306.68546" y="29.139999"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="-301.13412" y="29.139999"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="-294.88263" y="29.139999"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="-278.60999" y="29.139999"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="-270.04544" y="29.139999"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="-263.79395" y="29.139999"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-257.67999" y="29.139999"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,131.44,21.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,136.32,22.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="-101.62" y="26.719999"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="-83.260002" y="19.469999"> 1</t年代p一个n> </text> <g> <path d="m 47.23,-1.52 17.91,0" 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,-1,47.23,-13.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,60.26,-16.53)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,68.42,-4.65)"> <tspan style="font-size: 12.50px; " x="22.219999" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.07" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="36.27" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.060001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="5.551332" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> p</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,116.25,-7.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,123.21,-7.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.97719" y="-2.51"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.317411" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,153.45,-7.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,161.1,-4.65)"> <tspan style="font-size: 12.50px; " x="17.6" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.23" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.557716" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="43.809219" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,211.7,-7.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,218.66,-7.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.964687" y="-2.51"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="26.317411" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,248.89,-7.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,256.55,-4.65)"> <tspan style="font-size: 12.50px; " x="17.59" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="26.219999" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.560001" y="2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="43.419998" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,306.74,-7.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,314.39,-4.65)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="17.591721" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,338.77,-7.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,343.64,-7.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.85" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.638649" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="24.57" y="-2.51"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.736137" y="-2.51"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="47.125412" y="-2.51"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="59.165802" y="-2.51"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,406.72,-7.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,411.6,-4.65)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="46.889999" y="-29.24"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="51.053497" y="-29.24"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="57.305" y="-29.24"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="60.430748" y="-29.24"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="66.682251" y="-29.24"> 0</t年代p一个n> <tspan style="font-size: 12.50px; " x="72.933746" y="-29.24"> )</t年代p一个n> </text> </g> </g> </svg></span>为<年代vg height="14.75" id="M155" style="vertical-align:-3.25793pt;width:238.72501px;" version="1.1" viewbox="0 0 238.72501 14.75" width="238.72501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.75)"> <g transform="translate(72,-60.2)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.5772982" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.869186" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="37.246437" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-27.92,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-19.57,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.656635" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,14.87,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,23.22,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.656635" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="37.483994" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.524384" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="55.775883" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="65.15313" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,92.29,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,100.64,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>条件(<一个href="#EEq13">3所示。9</一个>)是满意的,<年代p一个n class="equation" id="EEq14"> <svg height="34" id="M156" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 34" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,34)"> <g transform="translate(72,-44.8)"> <text transform="matrix(1,0,0,-1,87.37,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,92.93,58.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 4</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,106.58,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.32" y="-7.25"> 1</t年代p一个n> </text> <g> <path d="m 119.12,56.91 11.82,0" 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,-1,119.12,45.03)"> <tspan style="font-size: 12.50px; " x="13.01" y="-8.75"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,137.7,58.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,150.4,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.392393" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.555893" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="28.469332" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.108665" y="0"> ≤</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.149052" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,204.12,58.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,217.76,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.54" y="-7.25"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,235.87,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 4</t年代p一个n> </text> <g> <path d="m 230.3,56.91 10.44,0" 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,-1,232.4,45.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 6</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.54" y="-8.75"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,247.5,58.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 5</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.37112" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,261.11,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="15.166139" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="22.555412" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.583298" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,299.62,50.65)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,307.97,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="150.52" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="154.6835" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="160.935" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="164.06075" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="170.31226" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="176.56375" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span>如果函数<年代vg height="13.45" id="M157" style="vertical-align:-2.21957pt;width:23.275px;" version="1.1" viewbox="0 0 23.275 13.45" width="23.275" 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p一个n> <tspan style="font-size: 12.50px; " x="6.2765059" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.440005" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.353444" y="0"> )</t年代p一个n> </text> </g> </g> </svg>满足(<一个href="#EEq14">3.11</一个>),然后(<一个href="#EEq12">3所示。8</一个>)有解的有界函数<年代vg height="14.075" id="M158" style="vertical-align:-2.72118pt;width:260.95001px;" version="1.1" viewbox="0 0 260.95001 14.075" width="260.95001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.075)"> <g transform="translate(72,-60.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.00336" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.63019" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.670578" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="39.221912" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="45.473412" y="0"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="55.888409" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="60.05191" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="68.616463" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="74.867966" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="78.781403" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="82.944901" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="92.322151" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="98.648666" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="102.81217" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="106.72561" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="114.36494" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="126.40533" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="131.95667" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="138.20816" y="0"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="148.62315" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="152.78667" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="161.35121" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="165.26465" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="169.42815" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="182.9814" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="190.35817" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="202.39856" y="0"> 3</t年代p一个n> </text> </g> </g> </svg>。<br>例如,如果<年代vg height="14.9375" id="M159" style="vertical-align:-3.25793pt;width:215.27499px;" version="1.1" viewbox="0 0 215.27499 14.9375" width="215.27499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.9375)"> <g transform="translate(72,-60.05)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="9.5772982" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.869186" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="33.082939" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-32.09,60.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-23.74,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,-4.93,60.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,3.42,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="21.405136" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="27.656635" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="32.870388" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="42.697746" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="54.738132" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="60.989635" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="66.19088" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,73.53,60.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,81.88,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 1</t年代p一个n> </text> </g> </g> </svg>,从(<一个href="#EEq14">3.11</一个>我们获得<年代p一个n class="equation" id="eq26"> <svg height="34.125" id="M160" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 34.125" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,34.125)"> <g transform="translate(72,-44.7)"> <text transform="matrix(1,0,0,-1,154.2,53.68)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="8.3520041" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.515503" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="16.428942" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.068275" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="36.096161" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,195.87,58.68)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,209.52,53.68)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.54" y="-7.25"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,227.62,65.93)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 。</t年代p一个n> <tspan style="font-size: 8.75px; " x="6.5640001" y="0"> 5</t年代p一个n> </text> <g> <path d="m 222.06,56.8 17,0" 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,-1,222.75,44.92)"> <tspan style="font-size: 12.50px; " x="17.51" y="-8.7600002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.3772497" y="0"> 5</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,245.82,58.68)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 3</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.37112" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,259.43,53.68)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="199.06" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="203.2235" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="209.47501" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="212.60075" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="218.85225" y="0"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="225.10374" y="0"> )</t年代p一个n> </text> </g> </g> </svg></span>和方程<年代p一个n class="equation" id="eq27"> <svg height="40.650002" id="M161" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 40.650002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,40.65)"> <g transform="translate(72,-39.48)"> <text transform="matrix(1,0,0,-1,62.85,44.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="41.669998" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="51.049999" y="-7.3200002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.3499999" y="-7.3200002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="15.302148" y="-7.3200002"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="19.465647" y="-7.3200002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="23.379086" y="-7.3200002"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="30.330753" y="-7.3200002"> −</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,119.47,56.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,133.11,51.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.54" y="-7.25"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,151.22,64.04)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代p一个n> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 。</t年代p一个n> <tspan style="font-size: 8.75px; " x="6.5640001" y="0"> 5</t年代p一个n> </text> <g> <path d="m 145.65,54.91 17,0" 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,-1,146.34,43.03)"> <tspan style="font-size: 12.50px; " x="17.51" y="-8.75"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代p一个n> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="9.3772497" y="0"> 5</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,169.41,56.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代p一个n> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 3</t年代p一个n> <tspan style="font-size: 8.75px; " x="10.37112" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,183.02,44.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="53.040001" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="11.46" y="-7.3200002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="20.412148" y="-7.3200002"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="24.575647" y="-7.3200002"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="31.277254" y="-7.3200002"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="42.617477" y="-7.3200002"> 2</t年代p一个n> <tspan style="font-size: 12.50px; " x="48.868977" y="-7.3200002"> )</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,242.41,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,249.36,51.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代p一个n> </text> <text transform="matrix(1,0,0,-1,268.27,56.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代p一个n> </text> <text transform="matrix(1,0,0,-1,275.23,51.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="10.852604" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.192825" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="28.444324" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.695824" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="49.861965" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="57.251236" y="0"> ≥</t年代p一个n> <tspan style="font-size: 12.50px; " x="69.291626" y="0"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="75.543129" y="0"> ,</t年代p一个n> <tspan style="font-size: 12.50px; " x="183.25999" y="0.0099999998"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="187.42349" y="0.0099999998"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="193.675" y="0.0099999998"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="196.80075" y="0.0099999998"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="203.05225" y="0.0099999998"> 3</t年代p一个n> <tspan style="font-size: 12.50px; " x="209.30374" y="0.0099999998"> )</t年代p一个n> </text> </g> </g> </svg></span>有解决方案<年代vg height="14.2625" id="M162" style="vertical-align:-2.72118pt;width:116.725px;" version="1.1" viewbox="0 0 116.725 14.2625" width="116.725" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.2625)"> <g transform="translate(72,-60.59)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="6.8766499" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.953588" y="0"> )</t年代p一个n> <tspan style="font-size: 12.50px; " x="22.580418" y="0"> =</t年代p一个n> <tspan style="font-size: 12.50px; " x="34.620808" y="0"> e</t年代p一个n> <tspan style="font-size: 12.50px; " x="40.172138" y="0"> x</t年代p一个n> <tspan style="font-size: 12.50px; " x="46.423637" y="0"> p</t年代p一个n> <tspan style="font-size: 12.50px; " x="56.838638" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="61.002136" y="0"> −</t年代p一个n> <tspan style="font-size: 12.50px; " x="69.566689" y="0"> 1</t年代p一个n> <tspan style="font-size: 12.50px; " x="75.818192" y="0"> 。</t年代p一个n> <tspan style="font-size: 12.50px; " x="78.943939" y="0"> 5</t年代p一个n> <tspan style="font-size: 12.50px; " x="85.195442" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="89.108879" y="0"> )</t年代p一个n> </text> </g> </g> </svg>有界的函数<年代vg height="13.45" id="M163" style="vertical-align:-2.21957pt;width:22.8375px;" version="1.1" viewbox="0 0 22.8375 13.45" width="22.8375" 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p一个n> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.00336" y="0"> )</t年代p一个n> </text> </g> </g> </svg>和<年代vg height="13.45" id="M164" style="vertical-align:-2.21957pt;width:23.3375px;" version="1.1" viewbox="0 0 23.3375 13.45" width="23.3375" 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p一个n> <tspan style="font-size: 12.50px; " x="6.3265181" y="0"> (</t年代p一个n> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> </t年代p一个n> <tspan style="font-size: 12.50px; " x="14.403456" y="0"> )</t年代p一个n> </text> </g> </g> </svg>。</年代p一个n></p> <h4 id="acknowledgments">确认</h4> <p>支持的研究是格兰特1/0090/09的格兰特1/1260/12科学教育部的资助机构斯洛伐克共和国和项目apvv - 0700 - 07年的斯洛伐克研发机构。</p></div> </div> <div class="ArticleReferences_xmlContent__p_40j"> <h4 class="ArticleReferences_references__GH2t_" id="references">引用</h4> <ol class="ArticleReferences_orderedReferences__mJr9M"> <li class="ArticleReferences_articleReference__ouEuh" id="B1"> <div class="referenceContent"> <p class="referenceText">a . 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Růžičkova”存在正解的非线性微分方程组奇异初值问题,“<我>落基山脉数学杂志》上</我>,3卷,第944 - 923页,2004年。</p>视图: <a href="https://doi.org/10.1216/rmjm/1181069835" target="_blank" rel="noreferrer">出版商的网站</一个><年代p一个n class="sep">|</年代p一个n> <a href="https://scholar.google.com/scholar_lookup?title=Existence%20of%20positive%20solutions%20of%20a%20singular%20initial%20problem%20for%20a%20nonlinear%20system%20of%20differential%20equations&author=J.%20Dibl%C3%ADk&author=M.%20R%C5%AF%C5%BEi%C4%8Dkov%C3%A1&publication_year=2004" target="_blank" rel="noreferrer">谷歌学术搜索</一个></div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B6"> <div class="referenceContent"> <p class="referenceText">l . h . Erbe问:香港,b . g .张<我>泛函微分方程振动理论</我>卷,190<我>专著和教科书纯粹与应用数学</我>,马塞尔·德克,纽约,纽约,美国,1995年。</p></div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B7"> <div class="referenceContent"> <p class="referenceText">b·m·莱维坦”理论的一些问题概周期函数。我,”<我>研究Uspekhi Matematicheskikh</我>,卷2,不。5,133 - 192年,1947页。</p>视图: <a href="https://scholar.google.com/scholar_lookup?title=Some%20questions%20of%20the%20theory%20of%20almost%20periodic%20functions.%20I&author=B.%20M.%20Levitan&publication_year=1947" target="_blank" rel="noreferrer">谷歌学术搜索</一个></div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B8"> <div class="referenceContent"> <p class="referenceText">林x,“振动的二阶非线性中立型微分方程,<我>《数学分析和应用程序</我>,卷309,不。2、442 - 452年,2005页。</p>视图: <a href="https://doi.org/10.1016/j.jmaa.2004.08.023" target="_blank" rel="noreferrer">出版商的网站</一个><年代p一个n class="sep">|</年代p一个n> <a href="https://scholar.google.com/scholar_lookup?title=Oscillation%20of%20second-order%20nonlinear%20neutral%20differential%20equations&author=X.%20Lin&publication_year=2005" target="_blank" rel="noreferrer">谷歌学术搜索</一个></div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B9"> <div class="referenceContent"> <p class="referenceText">王x和l .廖”渐近行为的解决方案与正负系数中立型微分方程,”<我>《数学分析和应用程序</我>,卷279,不。1,第338 - 326页,2003。</p>视图: <a href="https://doi.org/10.1016/S0022-247X(03)00021-0" target="_blank" rel="noreferrer">出版商的网站</一个><年代p一个n class="sep">|</年代p一个n> <a href="https://scholar.google.com/scholar_lookup?title=Asymptotic%20behavior%20of%20solutions%20of%20neutral%20differential%20equations%20with%20positive%20and%20negative%20coefficients&author=X.%20Wang&author=L.%20Liao&publication_year=2003" target="_blank" rel="noreferrer">谷歌学术搜索</一个></div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B10"> <div class="referenceContent"> <p class="referenceText">y周”,存在二阶非线性微分方程的非振动解的解决方案,“<我>《数学分析和应用程序</我>,卷331,不。1,第96 - 91页,2007。</p>视图: <a href="https://doi.org/10.1016/j.jmaa.2006.08.048" target="_blank" rel="noreferrer">出版商的网站</一个><年代p一个n class="sep">|</年代p一个n> <a href="https://scholar.google.com/scholar_lookup?title=Existence%20for%20nonoscillatory%20solutions%20of%20second-order%20nonlinear%20differential%20equations&author=Y.%20Zhou&publication_year=2007" target="_blank" rel="noreferrer">谷歌学术搜索</一个></div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B11"> <div class="referenceContent"> <p class="referenceText">y周和b . g .张”存在的高阶中立型微分方程的非振动解的解决方案与正负系数,”<我>应用数学的信</我>,15卷,不。7,867 - 874年,2002页。</p>视图: <a href="https://doi.org/10.1016/S0893-9659(02)00055-1" target="_blank" rel="noreferrer">出版商的网站</一个><年代p一个n class="sep">|</年代p一个n> <a href="https://scholar.google.com/scholar_lookup?title=Existence%20of%20nonoscillatory%20solutions%20of%20higher-order%20neutral%20differential%20equations%20with%20positive%20and%20negative%20coefficients&author=Y.%20Zhou&author=B.%20G.%20Zhang&publication_year=2002" target="_blank" rel="noreferrer">谷歌学术搜索</一个></div></li> </ol> </div> <h4 class="copyright-title" id="copyright">版权</h4> <div class="copyright-body"> 版权©2011 Božena Dorociakova等。这是一个开放的分布式下文章<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。</div> <div id="related-articles"></div> </div> </div> <div class="ant-col ThreeColumnLayout_rightColumn__b_MuL"> <div> <div> <div class="ArticleRightSection_articleRightSection__rG8Zh"> <div class="ArticleToolbar_articleToolbar__8fsAH"> <a href="https://downloads.hindawi.com/journals/aaa/2011/346745.pdf" class="ButtonGroup_buttonGroupWrapper__Rqhy0" role="button" type="primary" aria-label="PDF" tabindex="0" 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type="ghost" aria-label="Download Citation" tabindex="0" unselectable="on" data-testid="download-citation"><span class="ButtonGroup_leftGroup__FJAmS"><span role="img" class="anticon ButtonGroup_buttonGroupWrapperIcon__CFikg"> <svg width="1em" height="1em" viewbox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg"> <path d="M16 12H8C7.44772 12 7 12.4477 7 13C7 13.5523 7.44772 14 8 14H16C16.5523 14 17 13.5523 17 13C17 12.4477 16.5523 12 16 12Z" fill="currentColor"></path> <path d="M16 16H8C7.44772 16 7 16.4477 7 17C7 17.5523 7.44772 18 8 18H16C16.5523 18 17 17.5523 17 17C17 16.4477 16.5523 16 16 16Z" fill="currentColor"></path> <path d="M10 8H8C7.44772 8 7 8.44772 7 9C7 9.55228 7.44772 10 8 10H10C10.5523 10 11 9.55228 11 9C11 8.44772 10.5523 8 10 8Z" fill="currentColor"></path> <path d="M15 2C15 1.44772 14.5523 1 14 1C13.4477 1 13 1.44772 13 2V8C13 8.55228 13.4477 9 14 9H20C20.5523 9 21 8.55228 21 8C21 7.44772 20.5523 7 20 7H15V2Z" fill="currentColor"></path> <path fill-rule="evenodd" clip-rule="evenodd" d="M14.7071 1.29289C14.5196 1.10536 14.2652 1 14 1H6C4.34315 1 3 2.34315 3 4V20C3 21.6569 4.34315 23 6 23H18C19.6569 23 21 21.6569 21 20V8C21 7.73478 20.8946 7.48043 20.7071 7.29289L14.7071 1.29289ZM6 3H13.5858L19 8.41421V20C19 20.5523 18.5523 21 18 21H6C5.44772 21 5 20.5523 5 20V4C5 3.44772 5.44772 3 6 3Z" fill="currentColor"></path> </svg></span><span>下载引用</年代p一个n></span><span role="img" class="anticon ButtonGroup_buttonGroupWrapperIcon__CFikg"> <svg width="1em" height="1em" viewbox="0 0 20 22"> <defs> <clippath> <path fill-rule="evenodd" clip-rule="evenodd" d="M3,22a3,3,0,0,1-3-3V16a1,1,0,0,1,2,0v3a1,1,0,0,0,1,1H17a1,1,0,0,0,1-1V16a1,1,0,1,1,2,0v3a3,3,0,0,1-3,3Zm6.288-6.3-4-4a1,1,0,0,1,1.414-1.414L9,12.586V1a1,1,0,0,1,2,0V12.586l2.293-2.293a1,1,0,0,1,1.414,1.414l-4,4a1,1,0,0,1-1.423,0Z" fill="currentColor"></path> </clippath> </defs> <g> <path fill-rule="evenodd" clip-rule="evenodd" d="M3,22a3,3,0,0,1-3-3V16a1,1,0,0,1,2,0v3a1,1,0,0,0,1,1H17a1,1,0,0,0,1-1V16a1,1,0,1,1,2,0v3a3,3,0,0,1-3,3Zm6.288-6.3-4-4a1,1,0,0,1,1.414-1.414L9,12.586V1a1,1,0,0,1,2,0V12.586l2.293-2.293a1,1,0,0,1,1.414,1.414l-4,4a1,1,0,0,1-1.423,0Z" fill="currentColor"></path> </g> </svg></span></a> <div class="ant-collapse ant-collapse-icon-position-end articleToolbarOtherFormats_otherFormatsCollapse__VHaOL"> <div class="ant-collapse-item"> <div class="ant-collapse-header" aria-expanded="false" aria-disabled="false" role="button" tabindex="0"> <div class="ant-collapse-expand-icon"> <span role="img" class="anticon ant-collapse-arrow"> <svg width="1em" height="1em" viewbox="0 0 32 32" fill="none"> <path fill-rule="evenodd" clip-rule="evenodd" d="M17.773 23.453l11.2-11.265a1.918 1.918 0 000-2.641 1.75 1.75 0 00-2.542 0l-9.929 10.101-9.933-10.1a1.75 1.75 0 00-2.542 0 1.919 1.919 0 000 2.64L15.23 23.453c.352.365.811.547 1.271.547.46 0 .92-.182 1.271-.547z" fill="currentColor"></path> </svg></span> </div> <span class="ant-collapse-header-text"><span><span role="img" class="anticon articleToolbarOtherFormats_atofDownloadIcon__YRM5T"> <svg width="1em" height="1em" viewbox="0 0 20 22"> <defs> <clippath> <path fill-rule="evenodd" clip-rule="evenodd" d="M3,22a3,3,0,0,1-3-3V16a1,1,0,0,1,2,0v3a1,1,0,0,0,1,1H17a1,1,0,0,0,1-1V16a1,1,0,1,1,2,0v3a3,3,0,0,1-3,3Zm6.288-6.3-4-4a1,1,0,0,1,1.414-1.414L9,12.586V1a1,1,0,0,1,2,0V12.586l2.293-2.293a1,1,0,0,1,1.414,1.414l-4,4a1,1,0,0,1-1.423,0Z" fill="currentColor"></path> </clippath> </defs> <g> <path fill-rule="evenodd" clip-rule="evenodd" d="M3,22a3,3,0,0,1-3-3V16a1,1,0,0,1,2,0v3a1,1,0,0,0,1,1H17a1,1,0,0,0,1-1V16a1,1,0,1,1,2,0v3a3,3,0,0,1-3,3Zm6.288-6.3-4-4a1,1,0,0,1,1.414-1.414L9,12.586V1a1,1,0,0,1,2,0V12.586l2.293-2.293a1,1,0,0,1,1.414,1.414l-4,4a1,1,0,0,1-1.423,0Z" fill="currentColor"></path> </g> </svg></span><span>下载其他格式</年代p一个n></span></span> </div> </div> </div> <a href="//www.newsama.com/reprints/346745/confirm" class="ButtonGroup_buttonGroupWrapper__Rqhy0" role="button" type="ghost" aria-label="Order printed copies" tabindex="0" unselectable="on" target="_blank"><span class="ButtonGroup_leftGroup__FJAmS"><span role="img" class="anticon ButtonGroup_buttonGroupWrapperIcon__CFikg"> <svg width="1em" height="1em" viewbox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg"> <path fill-rule="evenodd" clip-rule="evenodd" d="M7.41667 1H18.6667C19.1269 1 19.5 1.44772 19.5 2V22C19.5 22.5523 19.1269 23 18.6667 23H7.41667C5.80584 23 4.5 21.433 4.5 19.5V4.5C4.5 2.567 5.80584 1 7.41667 1ZM6.16667 16.3368V4.5C6.16667 3.67157 6.72631 3 7.41667 3H17.8333V16H7.41667C6.96933 16 6.54552 16.1208 6.16667 16.3368ZM17.8333 18H7.41667C6.72631 18 6.16667 18.6716 6.16667 19.5C6.16667 20.3284 6.72631 21 7.41667 21H17.8333V18Z" fill="currentColor"></path> </svg></span><span>订单打印副本</年代p一个n></span><span role="img" class="anticon ButtonGroup_buttonGroupWrapperIcon__CFikg"> <svg width="1em" height="1em" viewbox="0 0 18 14"> <defs> <clippath id="a"> <path d="M10.293,13.707a1,1,0,0,1,0-1.414L14.586,8H1A1,1,0,0,1,1,6H14.586L10.293,1.707A1,1,0,0,1,11.707.293l6,6a1,1,0,0,1,.172.231h0l.01.019,0,.005.007.014.006.012,0,.008.008.018v0a1,1,0,0,1-.009.817l0,0L17.9,7.44l0,.009-.005.011-.007.013,0,.008-.008.015,0,.005-.01.016,0,0-.011.017,0,0-.012.018,0,0-.012.017,0,0L17.8,7.6l0,0-.011.014,0,.006-.01.012-.009.011-.006.007-.015.017h0l-.04.042-6,6a1,1,0,0,1-1.414,0Z" transform="translate(3 5)"></path> </clippath> </defs> <g transform="translate(-3 -5)"> <path d="M10.293,13.707a1,1,0,0,1,0-1.414L14.586,8H1A1,1,0,0,1,1,6H14.586L10.293,1.707A1,1,0,0,1,11.707.293l6,6a1,1,0,0,1,.172.231h0l.01.019,0,.005.007.014.006.012,0,.008.008.018v0a1,1,0,0,1-.009.817l0,0L17.9,7.44l0,.009-.005.011-.007.013,0,.008-.008.015,0,.005-.01.016,0,0-.011.017,0,0-.012.018,0,0-.012.017,0,0L17.8,7.6l0,0-.011.014,0,.006-.01.012-.009.011-.006.007-.015.017h0l-.04.042-6,6a1,1,0,0,1-1.414,0Z" transform="translate(3 5)" fill="currentColor"></path> </g> </svg></span></a> <div class="articleToolbarStatistics_articleToolbarStatistics__8_woN"> <div class="articleToolbarStatistics_column__R2GqD"> <div> <div> <span>的观点</年代p一个n> <div class="articleToolbarStatistics_amount__vJIDp"> 1443年</div> </div> <div> <span>下载</年代p一个n> <div class="articleToolbarStatistics_amount__vJIDp"> 1234年</div> </div> </div> </div> <div class="articleToolbarStatistics_column__R2GqD articleToolbarStatistics_dimensions__pe7pO"> <div> 引用</div> <span class="__dimensions_badge_embed__ articleToolbarStatistics_circle__p2dSc" data-doi="10.1155/2011/346745" data-style="small_circle"></span> </div> </div> <ul class="articleToolbarSocials_articleToolbarSocials__g02HH"> <li><a href="https://twitter.com/share?url=https://doi.org/10.1155/2011/346745&via=Hindawi" unselectable="on" title="" rel="noopener noreferrer" target="_blank"><span role="img" class="anticon"> <svg xmlns="http://www.w3.org/2000/svg" width="1em" height="1em" viewbox="126.444 2.281 589 589"> <circle 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