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ThreeColumnLayout_wrapper__gPK_l"> <div class="ant-col ThreeColumnLayout_leftColumn__yqNgV"> <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</gydF4y2Badiv> <a class="TableOfContents_tableOfContents__item__JJil1" href="#abstract">文摘</gydF4y2Baa> <a class="TableOfContents_tableOfContents__item__JJil1" href="#introduction">介绍</gydF4y2Baa> <a class="TableOfContents_tableOfContents__item__JJil1" href="#acknowledgments">确认</gydF4y2Baa> <a class="TableOfContents_tableOfContents__item__JJil1" href="#references">引用</gydF4y2Baa> <a class="TableOfContents_tableOfContents__item__JJil1" href="#copyright">版权</gydF4y2Baa> <a class="TableOfContents_tableOfContents__item__JJil1" href="#related-articles">相关文章</gydF4y2Baa> </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</gydF4y2Baspan> <h2 class="articleHeader__specialIssue_title">最近的进展微分和差分方程</gydF4y2Bah2> <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</gydF4y2Baa> </div> <strong>研究文章|<gydF4y2Ba!-- -->开放获取</gydF4y2Bastrong> <div class="articleHeader__meta"> <span>体积<gydF4y2Ba!-- -->2011年<gydF4y2Ba!-- -->|</gydF4y2Baspan> <span>文章的ID<gydF4y2Ba!-- -->393875年<gydF4y2Ba!-- -->|</gydF4y2Baspan> <span class="articleHeader__meta_doiLink"><a href="https://doi.org/10.1155/2011/393875" aria-label="Doi-link" target="_blank" rel="noreferrer">https://doi.org/10.1155/2011/393875</gydF4y2Baa></span> </div> <div class="simpleShowMore"> <button class="simpleShowMore__button">显示引用</gydF4y2Babutton> </div> <h1 class="articleHeader__title">上轮数量最大的时期</gydF4y2Bah1> <div class="articleHeader__authors"> <span class="articleHeader__authors_author">叶莲娜Kozmina<gydF4y2Basup>1</gydF4y2Basup></span> <span class="articleHeader__authors_author">和<gydF4y2Bastrong>Felix Sadyrbaev</gydF4y2Bastrong><a href="//www.newsama.com/cdn-cgi/l/email-protection" aria-label="Mail Option"><span role="img" class="anticon"> <svg version="1.0" xmlns="http://www.w3.org/2000/svg" width="1em" height="1em" viewbox="0 0 1401 1101"> <path fill="#6ba439" d="M132.5 2.1C101.4 6 71.1 20.5 48.3 42.4c-22.7 21.7-37.5 48.3-44.6 80l-2.2 10.1v837l2.2 10.1c6.7 30 19.3 53.9 39.8 75.3 23.3 24.3 56.4 40.9 90 45 12.8 1.6 1122.2 1.6 1135 0 38.9-4.8 75.9-25.6 100-56.4 15-19.3 24.2-39 29.8-63.9l2.2-10.1v-837l-2.2-10.1c-7.1-31.8-21.9-58.3-44.6-80.1-20.2-19.2-43.9-31.7-73.6-38.5l-9.6-2.3L705 1.4c-321.9-.1-568.5.2-572.5.7zm1123.4 99.5c1.7.4 3.1 1 3.1 1.4 0 .5-125.6 87.7-279 194L700.9 490.2 422 297C268.5 190.7 143 103.4 143 103c0-.5 1-1.1 2.3-1.3 3.5-.7 1107.1-.8 1110.6-.1zM401 404c164.4 113.8 299.4 207 300 207 .6 0 135.6-93.2 300.1-207 164.5-113.9 299.3-207 299.5-207 .2 0 .4 170.9.4 379.7 0 417.9.5 386-6.1 398.3-6.2 11.6-19 21.4-31.9 24.4-5.8 1.4-67.4 1.6-562 1.6s-556.2-.2-562-1.6c-12.9-3-25.7-12.8-31.9-24.4-6.6-12.3-6.1 19.6-6.1-398.3 0-208.8.2-379.7.5-379.7S236.6 290.1 401 404z"></path> </svg></span></a><sup>2</gydF4y2Basup></span> </div> <div class="simpleShowMore"> <button class="simpleShowMore__button">显示更多</gydF4y2Babutton> </div> <div class="articleHeader__academicEditor"> <strong>学术编辑器:</gydF4y2Bastrong> <span>埃琳娜·布雷弗曼</gydF4y2Baspan> </div> <div class="articleHeader__timeline"> <div class="articleHeader__timeline_item "> <strong>收到了</gydF4y2Bastrong> <span>2010年10月30日</gydF4y2Baspan> </div> <div class="articleHeader__timeline_item "> <strong>接受</gydF4y2Bastrong> <span>2010年12月30日</gydF4y2Baspan> </div> <div class="articleHeader__timeline_item articleHeader__timeline_item_sticky"> <strong>发表</gydF4y2Bastrong> <span>2011年1月27日</gydF4y2Baspan> </div> </div> </div> <div class="articleBody"> <div class="xml-content"> <h4 class="header" id="abstract">文摘</gydF4y2Bah4> <p>我们考虑方程<gydF4y2Basvg height="15.475" id="M1" style="vertical-align:-2.34499pt;width:88.337502px;" version="1.1" viewbox="0 0 88.337502 15.475" width="88.337502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.475)"> <g transform="translate(72,-59.62)"> <text transform="matrix(1,0,0,-1,-71.95,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-55.85,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.491697" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.655195" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.531845" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.171181" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.211567" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>,在那里<gydF4y2Basvg height="13.6125" id="M2" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个多项式,允许方程有多个环形。我们检测的最大可能数轮多项式的奇怪程度和展示各自的最优多项式可以构造。</gydF4y2Bap> <span class="end-abs"></span> <h4 id="introduction">1。介绍</gydF4y2Bah4> <p>考虑方程<gydF4y2Baspan class="equation" id="EEq1"> <svg height="17.25" id="M3" 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,-1,172.32,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,179.2,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,188.43,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.08" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.2435" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.12015" y="-0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.746979" y="-0.0099999998"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.787369" y="-0.0099999998"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.038868" y="-0.0099999998"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="276.32001" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="280.48349" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="286.73499" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="289.86075" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="296.11224" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>在哪里<gydF4y2Basvg height="13.6125" id="M4" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个奇怪的多项式与简单的0。</gydF4y2Bap> <p>等价的微分系统<gydF4y2Baspan class="equation" id="EEq2"> <svg height="16.5375" id="M5" 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,-1,148.71,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.8766499" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.953348" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.993736" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.195225" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.502258" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="67.703743" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="74.780441" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.820831" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.385384" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="104.12498" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="108.28848" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="115.16513" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="316.04001" y="0.63"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="320.20349" y="0.63"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="326.45499" y="0.63"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="329.58075" y="0.63"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="335.83224" y="0.63"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>在临界点<gydF4y2Basvg height="14.7125" id="M6" style="vertical-align:-3.2316pt;width:36.525002px;" version="1.1" viewbox="0 0 36.525002 14.7125" width="36.525002" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-61.67,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.45,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.452748" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,在那里<gydF4y2Basvg height="11.05" id="M7" style="vertical-align:-3.2316pt;width:11.7875px;" version="1.1" viewbox="0 0 11.7875 11.05" width="11.7875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.84,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>是零<gydF4y2Basvg height="13.6125" id="M8" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。回想一下,一个临界点<gydF4y2Basvg height="10.75" id="M9" style="vertical-align:-0.13794pt;width:11.875px;" version="1.1" viewbox="0 0 11.875 10.75" width="11.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>(<gydF4y2Baa href="#EEq2">1。2</gydF4y2Baa>)是<我>一个中心</我>如果它有被刺破小区覆盖重要的周期。</gydF4y2Bap> <p>我们将使用以下定义。</gydF4y2Bap> <p><span class="statement" id="deff1.1"><span class="statement-title"><i class="statement-title">定义1.1(见[<gydF4y2Baa href="#B5">1</gydF4y2Baa>])。</我></span>一个<我>中部地区</我>是最大的连接周边地区覆盖周期<gydF4y2Basvg height="10.75" id="M10" style="vertical-align:-0.13794pt;width:11.875px;" version="1.1" viewbox="0 0 11.875 10.75" width="11.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></p> <p><span class="statement" id="deff1.2"><span class="statement-title"><i class="statement-title">定义1.2(见[<gydF4y2Baa href="#B5">1</gydF4y2Baa>])。</我></span>一个<我>期环</我>是每个连通区域覆盖着重要的同心周期。</gydF4y2Baspan></p> <p><span class="statement" id="deff1.3"><span class="statement-title"><i class="statement-title">定义1.3。</我></span>我们将调用一个时期环中部地区<我>一段小环。</我>周期轨迹的一个微不足道的环包围一个临界点的中心。</gydF4y2Baspan></p> <p><span class="statement" id="deff1.4"><span class="statement-title"><i class="statement-title">定义1.4。</我></span>分别一段时间环封闭数(不止一个)将称为临界点<我>重要的环。</我></span></p> <p>例如,有四个中部地区和三个非平凡周期轮相图描绘在图<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/393875/fig2/" target="_blank">2</gydF4y2Baa>。</gydF4y2Bap> <p>内轮的连续周期解。他们可以用于构造非线性方程组的例子有规定数量的狄利克雷问题的解决方案<gydF4y2Baspan class="equation" id="eq1"> <svg height="17.2875" id="M11" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 17.2875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.2875)"> <g transform="translate(72,-58.17)"> <text transform="matrix(1,0,0,-1,97.72,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,104.59,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,113.82,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.08" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.2435" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.12015" y="-0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.746979" y="-0.0099999998"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.787369" y="-0.0099999998"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.038868" y="-0.0099999998"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.345901" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.29805" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="99.461548" y="-0.0099999998"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="105.71304" y="-0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="113.35238" y="-0.0099999998"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="125.39277" y="-0.0099999998"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="131.64427" y="-0.0099999998"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="160.95129" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="169.90344" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="174.06696" y="-0.0099999998"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="180.31845" y="-0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="187.95778" y="-0.0099999998"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="199.99817" y="-0.0099999998"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="206.24966" y="-0.0099999998"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="350.92999" y="0.02"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="355.09351" y="0.02"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="361.345" y="0.02"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="364.47076" y="0.02"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="370.72226" y="0.02"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>或者一个给定数量的正解(<gydF4y2Baa href="#B2">2</gydF4y2Baa>]同样的问题。</gydF4y2Bap> <p>在某些情况下,环形时期(<gydF4y2Baa href="#EEq1">1。1</gydF4y2Baa>)在一个耗散方程产生极限环<gydF4y2Baspan class="equation" id="EEq3"> <svg height="17.2875" id="M12" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 17.2875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.2875)"> <g transform="translate(72,-58.17)"> <text transform="matrix(1,0,0,-1,144.03,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,150.9,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,160.13,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.870001" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.033499" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.910149" y="-0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.149147" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.025795" y="-0.0099999998"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.414829" y="-0.0099999998"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.755051" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="72.494644" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="76.65815" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.534798" y="-0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="91.174126" y="-0.0099999998"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="103.21452" y="-0.0099999998"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="109.46602" y="-0.0099999998"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="304.62" y="0.02"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="308.78351" y="0.02"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="315.035" y="0.02"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="318.16074" y="0.02"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="324.41226" y="0.02"> )</gydF4y2Batspan> </text> </g> </g> </svg></span></p> <p>Lienard方程quadratical术语<gydF4y2Baspan class="equation" id="EEq4"> <svg height="18.700001" id="M13" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 18.700001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.7)"> <g transform="translate(72,-57.04)"> <text transform="matrix(1,0,0,-1,143.15,60.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,150.03,65.84)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,159.26,60.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.855244" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.018744" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.895393" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.146893" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.023544" y="0"> ′</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,208.9,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,216.55,60.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.079819" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.243317" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.119967" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.7593" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.787186" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="248.2" y="-0.55000001"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="252.36349" y="-0.55000001"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="258.61499" y="-0.55000001"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="261.74075" y="-0.55000001"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="267.99225" y="-0.55000001"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>可以减少的形式(<gydF4y2Baa href="#EEq1">1。1</gydF4y2Baa>)萨巴蒂的转换<gydF4y2Baa href="#B4">3</gydF4y2Baa>]<gydF4y2Baspan class="equation" id="EEq5"> <svg height="37.012501" id="M14" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 37.012501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,37.0125)"> <g transform="translate(72,-42.39)"> <text transform="matrix(1,0,0,-1,147.88,54.06)"> <tspan style="font-size: 12.50px; " x="70.160004" y="7.6900001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.3897533" y="0"> ∶</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.819176" y="0"> Φ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.446964" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.610462" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.487114" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.113945" y="0"> =</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,225.05,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> 0</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,232.44,54.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,238.01,59.06)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.4087362" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.3231516" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="12.174032" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,253.59,54.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.152916" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="211.16" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="215.3235" y="-0.0099999998"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="221.575" y="-0.0099999998"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="224.70074" y="-0.0099999998"> 6</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="230.95226" y="-0.0099999998"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>在哪里<gydF4y2Basvg height="19.424999" id="M15" style="vertical-align:-4.59964pt;width:105.7px;" version="1.1" viewbox="0 0 105.7 19.424999" width="105.7" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.425)"> <g transform="translate(72,-56.46)"> <text transform="matrix(1,0,0,-1,-71.95,61.09)"> <tspan style="font-size: 12.50px; " x="38.439999" y="0.02"> ∫</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.7268538" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.890353" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.767002" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.393833" y="0"> =</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-27.81,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="-1" y="11.46"> 0</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-20.41,61.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.603985" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.767483" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.419079" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。自<gydF4y2Basvg height="11.0625" id="M16" style="vertical-align:-0.30096pt;width:64.300003px;" version="1.1" viewbox="0 0 64.300003 11.0625" width="64.300003" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.578018" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.053852" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.705448" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.045429" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.085819" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>,这是一一对应,逆函数<gydF4y2Basvg height="13.45" id="M17" style="vertical-align:-2.21957pt;width:54.525002px;" version="1.1" viewbox="0 0 54.525002 13.45" width="54.525002" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.257021" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.420521" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.346943" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是定义良好的。</gydF4y2Bap> <p><span class="statement" id="lem1"><span class="statement-title">引理1.5(见[<gydF4y2Baa href="#B4">3</gydF4y2Baa>引理1])。</gydF4y2Baspan><i>这个函数<gydF4y2Basvg height="13.45" id="M18" style="vertical-align:-2.21957pt;width:24.025px;" version="1.1" viewbox="0 0 24.025 13.45" width="24.025" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.8766499" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.953588" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个解决方案(<gydF4y2Baa href="#EEq4">1。5</gydF4y2Baa>)当且仅当<gydF4y2Basvg height="13.45" id="M19" style="vertical-align:-2.21957pt;width:88.449997px;" version="1.1" viewbox="0 0 88.449997 13.45" width="88.449997" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.00336" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.63019" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.670578" y="0"> Φ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.210369" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.373867" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.250519" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.414017" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.327454" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.490952" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个解决方案</我><span class="equation" id="EEq6"> <svg height="18.4625" id="M20" 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,-1,147.54,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,153.47,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,162.7,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.067314" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.230814" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.195465" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.358963" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.285385" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.448887" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.687881" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,221.96,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.4087362" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.3231516" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="13.136752" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="16.051168" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="20.199615" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="23.114033" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,251.96,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.291889" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="212.78999" y="-0.46000001"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="216.95351" y="-0.46000001"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="223.205" y="-0.46000001"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="226.33075" y="-0.46000001"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="232.58224" y="-0.46000001"> )</gydF4y2Batspan> </text> </g> </g> </svg></span><i></i></span></p> <p>在本文中,我们的任务是定义的最大数量的非平凡周期轮(<gydF4y2Baa href="#EEq1">1。1</gydF4y2Baa>)。<gydF4y2Baspan class="list"><span class="list-item"><span class="list-label">(一)</gydF4y2Baspan><span class="list-content">我们假设<gydF4y2Basvg height="13.6125" id="M21" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个奇怪的多项式与简单的零和负系数主要术语(<gydF4y2Basvg height="13.6125" id="M22" style="vertical-align:-2.34499pt;width:87.962502px;" version="1.1" viewbox="0 0 87.962502 13.6125" width="87.962502" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.87953" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.457308" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.084137" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.124527" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.689083" y="0"> ∞</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="13.6125" id="M23" style="vertical-align:-2.34499pt;width:87.962502px;" version="1.1" viewbox="0 0 87.962502 13.6125" width="87.962502" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.87953" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.457308" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.084137" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.124527" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.689083" y="0"> ∞</gydF4y2Batspan> </text> </g> </g> </svg>)。一个零<gydF4y2Basvg height="7.375" id="M24" style="vertical-align:-0.17555pt;width:7.9250002px;" version="1.1" viewbox="0 0 7.9250002 7.375" width="7.9250002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.375)"> <g transform="translate(72,-66.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>被称为简单如果<gydF4y2Basvg height="13.6125" id="M25" style="vertical-align:-2.34499pt;width:53.224998px;" version="1.1" viewbox="0 0 53.224998 13.6125" width="53.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.553972" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.180801" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.221191" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="13.6375" id="M26" style="vertical-align:-2.34499pt;width:54.262501px;" version="1.1" viewbox="0 0 54.262501 13.6375" width="54.262501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.764843" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.928342" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.167339" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.406336" y="0"> ≠</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.058891" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></span></span></p> <p>一种原始的图像功能<gydF4y2Basvg height="19.424999" id="M27" style="vertical-align:-4.59964pt;width:106.525px;" version="1.1" viewbox="0 0 106.525 19.424999" width="106.525" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.425)"> <g transform="translate(72,-56.46)"> <text transform="matrix(1,0,0,-1,-71.95,61.09)"> <tspan style="font-size: 12.50px; " x="39.889999" y="0.02"> ∫</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.844181" y="0"> =</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-26.36,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="-1" y="11.46"> 0</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-18.96,61.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.816295" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.979794" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.63139" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>甚至是一个多项式与可能的多个局部极大值。</gydF4y2Bap> <p>这个函数<gydF4y2Basvg height="16.700001" id="M28" style="vertical-align:-2.34499pt;width:178.625px;" version="1.1" viewbox="0 0 178.625 16.700001" width="178.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.7)"> <g transform="translate(72,-58.64)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.818455" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.858845" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.423401" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.300049" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.463547" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-8.6,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-0.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,16.51,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,21.38,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,36.59,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,44.24,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,61.81,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,66.68,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个示例。</gydF4y2Bap> <p>我们将讨论重要的时期环形部分<gydF4y2Baa href="#sec2">2</gydF4y2Baa>。节<gydF4y2Baa href="#sec3">3</gydF4y2Baa>最大数量的<我>定期对</我>检测到。部分<gydF4y2Baa href="#sec4">4</gydF4y2Baa>致力于建设多项式<gydF4y2Basvg height="13.6125" id="M29" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>提供最大数量的吗<我>定期对</我>,或等价于非平凡周期轮(<gydF4y2Baa href="#EEq1">1。1</gydF4y2Baa>)。</gydF4y2Bap> <h4 id="nontrivial-period-annuli">2。非平凡周期轮</gydF4y2Bah4> <p>下面的结果提供了标准轮存在的重要的时期。</gydF4y2Bap> <p><span class="statement" id="thm2.1"><span class="statement-title">定理2.1(见[<gydF4y2Baa href="#B1">4</gydF4y2Baa>])。</gydF4y2Baspan><i>假设<gydF4y2Basvg height="13.6125" id="M30" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>在(<gydF4y2Baa href="#EEq1">1。1</gydF4y2Baa>)是一个使用简单的零多项式。假设<gydF4y2Basvg height="14.2375" id="M31" style="vertical-align:-3.13504pt;width:21.924999px;" version="1.1" viewbox="0 0 21.924999 14.2375" width="21.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.2375)"> <g transform="translate(72,-60.61)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.38,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="14.2375" id="M32" style="vertical-align:-3.13504pt;width:21.924999px;" version="1.1" viewbox="0 0 21.924999 14.2375" width="21.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.2375)"> <g transform="translate(72,-60.61)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.38,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>(<gydF4y2Basvg height="14.2375" id="M33" style="vertical-align:-3.13504pt;width:63.112499px;" version="1.1" viewbox="0 0 63.112499 14.2375" width="63.112499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.2375)"> <g transform="translate(72,-60.61)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.38,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.04,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-26.43,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>)nonneighboring点最大的原始功能<gydF4y2Basvg height="13.45" id="M34" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。假设其他局部最大值<gydF4y2Basvg height="13.45" id="M35" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>在这一期间<gydF4y2Basvg height="14.6" id="M36" style="vertical-align:-3.13504pt;width:60.650002px;" version="1.1" viewbox="0 0 60.650002 14.6" width="60.650002" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-55.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-50.35,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-32.57,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-27.7,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(严格)小于<gydF4y2Basvg height="14.7125" id="M37" style="vertical-align:-3.13504pt;width:138.96249px;" version="1.1" viewbox="0 0 138.96249 14.7125" width="138.96249" 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,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 米</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.203168" y="0"> n</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.618168" y="0"> {</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.619608" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.79681" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.960308" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-16.42,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-11.55,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ;</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.904535" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.068035" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,24.08,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,28.96,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> }</gydF4y2Batspan> </text> </g> </g> </svg>。</我><br><i>然后,存在一个非平凡周期环与一对相关联<gydF4y2Basvg height="14.6" id="M38" style="vertical-align:-3.13504pt;width:60.650002px;" version="1.1" viewbox="0 0 60.650002 14.6" width="60.650002" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-55.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-50.35,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-32.57,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-27.7,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</我></span></p> <p>很明显,如果<gydF4y2Basvg height="13.45" id="M39" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>有<gydF4y2Basvg height="7.1374998" id="M40" style="vertical-align:-0.10033pt;width:11.225px;" version="1.1" viewbox="0 0 11.225 7.1374998" width="11.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>对实证的极大值点<gydF4y2Basvg height="7.1374998" id="M41" style="vertical-align:-0.10033pt;width:11.225px;" version="1.1" viewbox="0 0 11.225 7.1374998" width="11.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>非平凡周期轮存在。</gydF4y2Bap> <p>考虑,例如,(<gydF4y2Baa href="#EEq1">1。1</gydF4y2Baa>),<gydF4y2Baspan class="equation" id="EEq7"> <svg height="16.5375" id="M42" 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,-5.14,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.7270937" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.890593" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.767242" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.406576" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.446964" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.01152" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.97617" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.139671" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.791985" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="82.13221" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="88.383705" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="94.635208" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="98.798706" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="108.45102" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="119.79124" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="126.04274" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="129.16849" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="135.42" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="141.67149" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="145.83499" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="155.4873" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="166.82753" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="173.07903" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="176.20477" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="182.45628" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="188.70778" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="192.87128" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="202.52359" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="213.86382" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="220.11531" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="223.24106" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="229.49257" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="235.74406" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="239.90756" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="249.55988" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="260.90012" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="267.15161" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="270.27734" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="276.52884" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="282.78036" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="286.94385" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="296.59616" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="307.94888" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="314.20038" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="317.32614" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="323.57764" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="329.81665" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="333.98013" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="343.63245" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="354.98517" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="361.23666" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="364.36243" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="370.61392" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="376.85294" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="381.01642" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="390.68124" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="402.02145" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="408.27295" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="411.39871" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="417.65021" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="423.88922" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="469.89001" y="0.63"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="474.0535" y="0.63"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="480.30499" y="0.63"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="483.43076" y="0.63"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="489.68225" y="0.63"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>等效系统交替“马鞍”和“中心”的图<gydF4y2Basvg height="13.45" id="M43" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>描绘在图<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/393875/fig1/" target="_blank">1</gydF4y2Baa>。</gydF4y2Bap> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-11bfda1e82bef512b7f3ae7cbf15d730"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/figures/393875.fig.001.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-11bfda1e82bef512b7f3ae7cbf15d730 partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/thumbnails/393875.fig.001_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-11bfda1e82bef512b7f3ae7cbf15d730 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图1</gydF4y2Baspan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/aaa/2011/393875/fig1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td></td> </tr> </tbody> </table> </div> </div> </div> </div> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-09b08ee9d434e3152ba0710c88656624"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/figures/393875.fig.002.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-09b08ee9d434e3152ba0710c88656624 partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/thumbnails/393875.fig.002_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-09b08ee9d434e3152ba0710c88656624 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图2</gydF4y2Baspan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/aaa/2011/393875/fig2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td>的相图(<gydF4y2Baa href="https://static.hindawi.com/articles/aaa/volume-2011/393875/figures/393875/">1。1</gydF4y2Baa>),<gydF4y2Basvg height="13.45" id="M44" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是在图<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/fig1/">1</gydF4y2Baa>。</gydF4y2Batd> </tr> </tbody> </table> </div> </div> </div> </div> <p>有三对实证轮存在的极大值点和三个重要的时期,是描绘在图<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/393875/fig2/" target="_blank">2</gydF4y2Baa>。</gydF4y2Bap> <h4 id="polynomials">3所示。多项式</gydF4y2Bah4> <p>考虑一个多项式<gydF4y2Basvg height="13.45" id="M45" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。的局部极大值点<gydF4y2Basvg height="11.05" id="M46" style="vertical-align:-3.2316pt;width:12.75px;" version="1.1" viewbox="0 0 12.75 11.05" width="12.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="12.975" id="M47" style="vertical-align:-4.77652pt;width:14.25px;" version="1.1" viewbox="0 0 14.25 12.975" width="14.25" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.975)"> <g transform="translate(72,-61.62)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>的<gydF4y2Basvg height="13.45" id="M48" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>如果时间间隔是实证<gydF4y2Basvg height="16.637501" id="M49" style="vertical-align:-4.77652pt;width:43.799999px;" version="1.1" viewbox="0 0 43.799999 16.637501" width="43.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.91,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.69,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-45.6,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-41.18,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>包含至少一个局部最大值的点<gydF4y2Basvg height="13.45" id="M50" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Bap> <p><span class="statement" id="deff3.1"><span class="statement-title"><i class="statement-title">定义3.1。</我></span>两个实证的极大值点<gydF4y2Basvg height="14.425" id="M51" style="vertical-align:-4.77652pt;width:46.262501px;" version="1.1" viewbox="0 0 46.262501 14.425" width="46.262501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.425)"> <g transform="translate(72,-60.46)"> <text transform="matrix(1,0,0,-1,-71.95,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.38,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-39.47,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>的<gydF4y2Basvg height="13.45" id="M52" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>将被称为<我>定期对</我>如果<gydF4y2Basvg height="16.75" id="M53" style="vertical-align:-4.77652pt;width:171.55px;" version="1.1" viewbox="0 0 171.55 16.75" width="171.55" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.75)"> <g transform="translate(72,-58.6)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.844181" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.884571" y="0"> 米</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.611904" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.087738" y="0"> n</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.502735" y="0"> {</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.504173" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.681381" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="82.844879" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,17.78,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,21,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.541948" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.705448" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,50.59,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,55.02,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> }</gydF4y2Batspan> </text> </g> </g> </svg>在任何其他点的最大躺在间隔<gydF4y2Basvg height="16.637501" id="M54" style="vertical-align:-4.77652pt;width:43.799999px;" version="1.1" viewbox="0 0 43.799999 16.637501" width="43.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.91,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.69,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-45.6,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-41.18,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></p> <p><span class="statement" id="thm3.1"><span class="statement-title">定理3.2。</gydF4y2Baspan><i>假设<gydF4y2Basvg height="13.6125" id="M55" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个多项式满足条件让<gydF4y2Basvg height="13.45" id="M56" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个原始的函数<gydF4y2Basvg height="13.6125" id="M57" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="7.1374998" id="M58" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>局部极大值<gydF4y2Basvg height="13.45" id="M59" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</我><br><i>然后,最大可能的常规双数量<gydF4y2Basvg height="10.8125" id="M60" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。</我></span></p> <p><span class="statement" id="proof1"><span class="statement-title"><i class="statement-title">证明。</我></span>用归纳法,让<gydF4y2Basvg height="11.0125" id="M61" style="vertical-align:-3.20526pt;width:81.925003px;" version="1.1" viewbox="0 0 81.925003 11.0125" width="81.925003" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0125)"> <g transform="translate(72,-63.19)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.2,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.11,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-43.24,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-11.36,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>连续的极大值点<gydF4y2Basvg height="13.45" id="M62" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="12.4625" id="M63" style="vertical-align:-3.20526pt;width:119.4px;" version="1.1" viewbox="0 0 119.4 12.4625" width="119.4" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.4625)"> <g transform="translate(72,-62.03)"> <text transform="matrix(1,0,0,-1,-71.95,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.73,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-37.81,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-29.46,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> ⋯</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.156996" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.197384" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,18.62,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。<gydF4y2Babr><span class="list"><span class="list-item"><span class="list-label">(1)</gydF4y2Baspan><span class="list-content">让<gydF4y2Basvg height="10.9125" id="M64" style="vertical-align:-0.17555pt;width:35.099998px;" version="1.1" viewbox="0 0 35.099998 10.9125" width="35.099998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.6773224" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.71771" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg>。以下三个点的组合都是可能的最大值:</gydF4y2Baspan></span></span><span class="list"><span class="list-item"><span class="list-label">(一)</gydF4y2Baspan><span class="list-content"> <svg height="14.75" id="M65" style="vertical-align:-3.25793pt;width:148.6125px;" version="1.1" viewbox="0 0 148.6125 14.75" width="148.6125" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.09,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,37.8,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,42.67,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,</gydF4y2Baspan></span><span class="list-item"><span class="list-label">(b)</gydF4y2Baspan><span class="list-content"> <svg height="14.75" id="M66" style="vertical-align:-3.25793pt;width:191.6875px;" version="1.1" viewbox="0 0 191.6875 14.75" width="191.6875" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.09,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.541948" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.705448" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,27.5,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,32.37,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,72.26,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,77.14,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,</gydF4y2Baspan></span><span class="list-item"><span class="list-label">(c)</gydF4y2Baspan><span class="list-content"> <svg height="14.75" id="M67" style="vertical-align:-3.25793pt;width:148.6125px;" version="1.1" viewbox="0 0 148.6125 14.75" width="148.6125" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.09,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,37.8,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,42.67,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,</gydF4y2Baspan></span><span class="list-item"><span class="list-label">(d)</gydF4y2Baspan><span class="list-content"> <svg height="14.75" id="M68" style="vertical-align:-3.25793pt;width:191.6875px;" version="1.1" viewbox="0 0 191.6875 14.75" width="191.6875" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.09,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.541948" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.705448" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,27.5,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,32.37,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,72.26,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,77.14,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></span></span><br>只有(b)提供<我>一双普通的</我>。在这种情况下,因此,最大数量的<我>定期对</我>是1。<gydF4y2Babr>(2)假设的任何序列<gydF4y2Basvg height="11.0625" id="M69" style="vertical-align:-0.30096pt;width:35.099998px;" version="1.1" viewbox="0 0 35.099998 11.0625" width="35.099998" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.6773224" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.71771" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg>命令的极大值点<gydF4y2Basvg height="13.45" id="M70" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>最大数量的<我>定期对</我>是<gydF4y2Basvg height="10.8125" id="M71" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。不失一般性,添加到右边一点的最大功能<gydF4y2Basvg height="13.45" id="M72" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。我们得到的序列<gydF4y2Basvg height="11.325" id="M73" style="vertical-align:-0.51414pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 11.325" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.325)"> <g transform="translate(72,-62.94)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>连续的最大点<gydF4y2Basvg height="11.0125" id="M74" style="vertical-align:-3.20526pt;width:81.925003px;" version="1.1" viewbox="0 0 81.925003 11.0125" width="81.925003" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0125)"> <g transform="translate(72,-63.19)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.2,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.11,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-43.24,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-11.36,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="11.375" id="M75" style="vertical-align:-3.49493pt;width:27.75px;" version="1.1" viewbox="0 0 27.75 11.375" width="27.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.375)"> <g transform="translate(72,-62.9)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="12.825" id="M76" style="vertical-align:-3.49493pt;width:167.5625px;" version="1.1" viewbox="0 0 167.5625 12.825" width="167.5625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.825)"> <g transform="translate(72,-61.74)"> <text transform="matrix(1,0,0,-1,-71.95,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.73,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-37.81,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-29.46,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.082218" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.122608" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,19.55,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,27.87,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,46.78,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>。让我们证明的最大数量<我>定期对</我>是<gydF4y2Basvg height="10.8125" id="M77" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>。为此,考虑以下可能的变体。<gydF4y2Babr><span class="list"><span class="list-item"><span class="list-label">(一)</gydF4y2Baspan><span class="list-content">这对夫妇<gydF4y2Basvg height="11.0125" id="M78" style="vertical-align:-3.20526pt;width:35.974998px;" version="1.1" viewbox="0 0 35.974998 11.0125" width="35.974998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0125)"> <g transform="translate(72,-63.19)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.2,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.11,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>是<我>一双普通的</我>。如果<gydF4y2Basvg height="14.6875" id="M79" style="vertical-align:-3.20526pt;width:92.612503px;" version="1.1" viewbox="0 0 92.612503 14.6875" width="92.612503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6875)"> <g transform="translate(72,-60.25)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.12,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="15.05" id="M80" style="vertical-align:-3.49493pt;width:105.55px;" version="1.1" viewbox="0 0 105.55 15.05" width="105.55" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.05)"> <g transform="translate(72,-59.96)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-36.51,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,3.38,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,8.23,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>那么,旁边<我>定期对</我>在这一期间<gydF4y2Basvg height="14.4625" id="M81" style="vertical-align:-3.20526pt;width:46.387501px;" version="1.1" viewbox="0 0 46.387501 14.4625" width="46.387501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4625)"> <g transform="translate(72,-60.43)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.91,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.04,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-43.95,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-39.1,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>,只有一个新<我>定期对</我>可以出现,即<gydF4y2Basvg height="11.375" id="M82" style="vertical-align:-3.49493pt;width:48.950001px;" version="1.1" viewbox="0 0 48.950001 11.375" width="48.950001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.375)"> <g transform="translate(72,-62.9)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.2,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.11,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>。的最大数量<我>定期对</我>可以由点<gydF4y2Basvg height="11.375" id="M83" style="vertical-align:-3.49493pt;width:116.0625px;" version="1.1" viewbox="0 0 116.0625 11.375" width="116.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.375)"> <g transform="translate(72,-62.9)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.2,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.11,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-43.24,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-11.36,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.51,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,5.58,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>,不大于<gydF4y2Basvg height="13.45" id="M84" style="vertical-align:-2.21957pt;width:121.85px;" version="1.1" viewbox="0 0 121.85 13.45" width="121.85" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.684044" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.024261" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.751598" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.791985" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="79.781647" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="91.121864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>。如果<gydF4y2Basvg height="14.6875" id="M85" style="vertical-align:-3.20526pt;width:92.612503px;" version="1.1" viewbox="0 0 92.612503 14.6875" width="92.612503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6875)"> <g transform="translate(72,-60.25)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.12,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>或<gydF4y2Basvg height="15.05" id="M86" style="vertical-align:-3.49493pt;width:105.55px;" version="1.1" viewbox="0 0 105.55 15.05" width="105.55" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.05)"> <g transform="translate(72,-59.96)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-36.51,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,3.38,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,8.23,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,那么额外的<我>定期对</我>没有出现。在一个特定的情况下<gydF4y2Basvg height="15.05" id="M87" style="vertical-align:-3.49493pt;width:253.925px;" version="1.1" viewbox="0 0 253.925 15.05" width="253.925" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.05)"> <g transform="translate(72,-59.96)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.09,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> ⋯</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.796329" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.83672" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.01392" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.177418" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,66.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,71.82,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,111.71,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,126.93,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="14.6875" id="M88" style="vertical-align:-3.20526pt;width:92.612503px;" version="1.1" viewbox="0 0 92.612503 14.6875" width="92.612503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6875)"> <g transform="translate(72,-60.25)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.12,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>以下<我>定期对</我>存在,也就是说,<gydF4y2Basvg height="10.925" id="M89" style="vertical-align:-3.13504pt;width:14.8125px;" version="1.1" viewbox="0 0 14.8125 10.925" width="14.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.925)"> <g transform="translate(72,-63.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="11.075" id="M90" style="vertical-align:-3.25793pt;width:14.8125px;" version="1.1" viewbox="0 0 14.8125 11.075" width="14.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.075)"> <g transform="translate(72,-63.14)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="10.925" id="M91" style="vertical-align:-3.13504pt;width:14.8125px;" version="1.1" viewbox="0 0 14.8125 10.925" width="14.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.925)"> <g transform="translate(72,-63.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="10.925" id="M92" style="vertical-align:-3.13504pt;width:14.8125px;" version="1.1" viewbox="0 0 14.8125 10.925" width="14.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.925)"> <g transform="translate(72,-63.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 4</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="1.8625" id="M93" style="vertical-align:-0.13794pt;width:18.362499px;" version="1.1" viewbox="0 0 18.362499 1.8625" width="18.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,1.8625)"> <g transform="translate(72,-70.51)"> <text transform="matrix(1,0,0,-1,-71.95,70.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> …</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="10.925" id="M94" style="vertical-align:-3.13504pt;width:14.8125px;" version="1.1" viewbox="0 0 14.8125 10.925" width="14.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.925)"> <g transform="translate(72,-63.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="11.0125" id="M95" style="vertical-align:-3.20526pt;width:14.775px;" version="1.1" viewbox="0 0 14.775 11.0125" width="14.775" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0125)"> <g transform="translate(72,-63.19)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,新的一对<gydF4y2Basvg height="10.925" id="M96" style="vertical-align:-3.13504pt;width:14.8125px;" version="1.1" viewbox="0 0 14.8125 10.925" width="14.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.925)"> <g transform="translate(72,-63.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="11.375" id="M97" style="vertical-align:-3.49493pt;width:27.75px;" version="1.1" viewbox="0 0 27.75 11.375" width="27.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.375)"> <g transform="translate(72,-62.9)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>出现,完全<gydF4y2Basvg height="10.8125" id="M98" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>对。</gydF4y2Baspan></span><span class="list-item"><span class="list-label">(b)</gydF4y2Baspan><span class="list-content">假设<gydF4y2Basvg height="11.0125" id="M99" style="vertical-align:-3.20526pt;width:35.974998px;" version="1.1" viewbox="0 0 35.974998 11.0125" width="35.974998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0125)"> <g transform="translate(72,-63.19)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.2,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.11,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>不是<我>一双普通的</我>。让<gydF4y2Basvg height="11.05" id="M100" style="vertical-align:-3.2316pt;width:12.75px;" version="1.1" viewbox="0 0 12.75 11.05" width="12.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="12.975" id="M101" style="vertical-align:-4.77652pt;width:14.25px;" version="1.1" viewbox="0 0 14.25 12.975" width="14.25" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.975)"> <g transform="translate(72,-61.62)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>是一个<我>定期对</我>,<ggydF4y2BaydF4y2Basvg height="13.6125" id="M102" style="vertical-align:-2.34499pt;width:84.8125px;" version="1.1" viewbox="0 0 84.8125 13.6125" width="84.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.7148314" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.119488" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.159878" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.486874" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.527264" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,没有其他<我>定期对</我><svg height="12.925" id="M103" style="vertical-align:-4.74141pt;width:35.875px;" version="1.1" viewbox="0 0 35.875 12.925" width="35.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.925)"> <g transform="translate(72,-61.66)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.3,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.21,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>这样<gydF4y2Basvg height="13.6125" id="M104" style="vertical-align:-2.34499pt;width:138.3875px;" version="1.1" viewbox="0 0 138.3875 13.6125" width="138.3875" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.7148314" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.34502" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.38541" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.737175" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.777561" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.117065" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.157455" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="92.34716" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="104.38755" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。让我们提到,如果这样的一对<gydF4y2Basvg height="12.975" id="M105" style="vertical-align:-4.77652pt;width:33.387501px;" version="1.1" viewbox="0 0 33.387501 12.975" width="33.387501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.975)"> <g transform="translate(72,-61.62)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-61.85,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-49.77,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>不存在,那么该函数<gydF4y2Basvg height="13.45" id="M106" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>没有<我>定期对</我>和序列<gydF4y2Basvg height="14.775" id="M107" style="vertical-align:-3.2316pt;width:52.162498px;" version="1.1" viewbox="0 0 52.162498 14.775" width="52.162498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.775)"> <g transform="translate(72,-60.18)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.178642" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.34214" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-45.73,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-40.49,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> }</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="12.8875" id="M108" style="vertical-align:-1.76814pt;width:73.662498px;" version="1.1" viewbox="0 0 73.662498 12.8875" width="73.662498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.8875)"> <g transform="translate(72,-61.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.239957" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.280346" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.531845" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.745598" y="0"> ⋯</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.398872" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.612625" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>单调。然后,如果<gydF4y2Basvg height="15.05" id="M109" style="vertical-align:-3.49493pt;width:49.625px;" version="1.1" viewbox="0 0 49.625 15.05" width="49.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.05)"> <g transform="translate(72,-59.96)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-36.51,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>大于任何其他最大,到底是什么<gydF4y2Basvg height="13.45" id="M110" style="vertical-align:-2.21957pt;width:121.85px;" version="1.1" viewbox="0 0 121.85 13.45" width="121.85" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.684044" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.024261" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.751598" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.791985" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="79.781647" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="91.121864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg><i>定期对</我>。</gydF4y2Baspan></span></span><br>否则,我们有两个可能性:<gydF4y2Babr><span class="list"><span class="list-item"><span class="list-label"></span><span class="list-content">要么<gydF4y2Basvg height="16.6" id="M111" style="vertical-align:-4.74141pt;width:90.462502px;" version="1.1" viewbox="0 0 90.462502 16.6" width="90.462502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6)"> <g transform="translate(72,-58.72)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.51,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-8.62,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-3.84,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="13.55" id="M112" style="vertical-align:-2.29482pt;width:101.7625px;" version="1.1" viewbox="0 0 101.7625 13.55" width="101.7625" 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,-67.78,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5772982" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.869186" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.082939" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.661434" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.875187" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.539288" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.879509" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>,</gydF4y2Baspan></span><span class="list-item"><span class="list-label"></span><span class="list-content">或<gydF4y2Basvg height="16.637501" id="M113" style="vertical-align:-4.77652pt;width:92.074997px;" version="1.1" viewbox="0 0 92.074997 16.637501" width="92.074997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-47.3,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-7.41,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.56,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="13.6125" id="M114" style="vertical-align:-2.34499pt;width:102.45px;" version="1.1" viewbox="0 0 102.45 13.6125" width="102.45" 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,-67.78,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1897049" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.230095" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.869427" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.209648" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.461147" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.6749" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.2659" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.467148" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></span></span><br>在第一种情况下,间隔<gydF4y2Basvg height="14.5" id="M115" style="vertical-align:-3.2316pt;width:44.349998px;" version="1.1" viewbox="0 0 44.349998 14.5" width="44.349998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5)"> <g transform="translate(72,-60.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.91,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.04,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-43.95,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-40.73,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>包含<gydF4y2Basvg height="9.9250002" id="M116" style="vertical-align:-0.13794pt;width:4.9875002px;" version="1.1" viewbox="0 0 4.9875002 9.9250002" width="4.9875002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.925)"> <g transform="translate(72,-64.06)"> <text transform="matrix(1,0,0,-1,-71.95,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>最大的点<gydF4y2Basvg height="13.45" id="M117" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="10.125" id="M118" style="vertical-align:-0.30096pt;width:32.137501px;" version="1.1" viewbox="0 0 32.137501 10.125" width="32.137501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.125)"> <g transform="translate(72,-63.9)"> <text transform="matrix(1,0,0,-1,-71.95,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.3517642" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.392153" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>的数量,因此<我>定期对</我>在这个时间间隔不超过<gydF4y2Basvg height="10.8625" id="M119" style="vertical-align:-0.13794pt;width:30.450001px;" version="1.1" viewbox="0 0 30.450001 10.8625" width="30.450001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8625)"> <g transform="translate(72,-63.31)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.6640992" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.00432" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。没有<我>定期对</我><svg height="12.925" id="M120" style="vertical-align:-4.74141pt;width:36.349998px;" version="1.1" viewbox="0 0 36.349998 12.925" width="36.349998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.925)"> <g transform="translate(72,-61.66)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.3,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.21,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>为<gydF4y2Basvg height="13.55" id="M121" style="vertical-align:-2.29482pt;width:59.224998px;" version="1.1" viewbox="0 0 59.224998 13.55" width="59.224998" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.7148314" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.34502" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.38541" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="12.3" id="M122" style="vertical-align:-1.29163pt;width:85.462502px;" version="1.1" viewbox="0 0 85.462502 12.3" width="85.462502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.3)"> <g transform="translate(72,-62.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.3517642" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.392153" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.644613" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.685001" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.67466" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.014881" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>。的时间间隔<gydF4y2Basvg height="14.825" id="M123" style="vertical-align:-3.49493pt;width:57.287498px;" version="1.1" viewbox="0 0 57.287498 14.825" width="57.287498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.825)"> <g transform="translate(72,-60.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.91,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.69,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-45.6,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-30.38,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>包含<gydF4y2Basvg height="13.45" id="M124" style="vertical-align:-2.21957pt;width:102.15px;" version="1.1" viewbox="0 0 102.15 13.45" width="102.15" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.684044" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.024261" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.187763" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.864365" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.204582" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.456085" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>最大的点<gydF4y2Basvg height="13.45" id="M125" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>的数量,因此<我>定期对</我>在这个时间间隔不超过<gydF4y2Basvg height="13.45" id="M126" style="vertical-align:-2.21957pt;width:177.28751px;" version="1.1" viewbox="0 0 177.28751 13.45" width="177.28751" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.684044" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.024261" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.187763" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.864365" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.204582" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.456085" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="84.395248" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.735474" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="105.46281" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="117.5032" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="126.49285" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="137.83307" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。完全,没有更多<我>定期对</我>比<gydF4y2Basvg height="13.45" id="M127" style="vertical-align:-2.21957pt;width:151.825px;" version="1.1" viewbox="0 0 151.825 13.45" width="151.825" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.827598" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.167818" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.419319" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.358482" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.698704" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.862206" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.864365" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.204582" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.093018" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="82.732353" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="94.760239" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="103.7624" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="115.10262" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。<gydF4y2Babr>在第二种情况下,的数量<我>定期对</我>在<gydF4y2Basvg height="16.424999" id="M128" style="vertical-align:-4.77652pt;width:43.799999px;" version="1.1" viewbox="0 0 43.799999 16.424999" width="43.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.425)"> <g transform="translate(72,-58.86)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.91,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.69,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-45.6,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-41.18,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>不超过<gydF4y2Basvg height="13.6125" id="M129" style="vertical-align:-2.34499pt;width:163.5px;" version="1.1" viewbox="0 0 163.5 13.6125" width="163.5" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6393328" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.979553" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.143053" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.807152" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.147373" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.398872" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.35054" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="65.690765" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.418098" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="87.445984" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.097816" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="106.43804" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="113.10213" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="124.44236" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>。在<gydF4y2Basvg height="16.424999" id="M130" style="vertical-align:-4.77652pt;width:58.799999px;" version="1.1" viewbox="0 0 58.799999 16.424999" width="58.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.425)"> <g transform="translate(72,-58.86)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.91,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.48,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-44.4,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-29.18,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>,有不超过<gydF4y2Basvg height="13.6125" id="M131" style="vertical-align:-2.34499pt;width:180.66251px;" version="1.1" viewbox="0 0 180.66251 13.6125" width="180.66251" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.684044" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.024261" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.187763" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.8396" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="72.179817" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.43132" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="85.370483" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="96.710709" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="106.43804" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="118.47843" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="127.46809" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="138.8083" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg><i>定期对</我>。的点<gydF4y2Basvg height="12.925" id="M132" style="vertical-align:-4.74141pt;width:14.6875px;" version="1.1" viewbox="0 0 14.6875 12.925" width="14.6875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.925)"> <g transform="translate(72,-61.66)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="13.55" id="M133" style="vertical-align:-2.29482pt;width:96.550003px;" version="1.1" viewbox="0 0 96.550003 13.55" width="96.550003" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5772982" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.869186" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.082939" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.661434" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.875187" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.539288" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.879509" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="12.925" id="M134" style="vertical-align:-4.74141pt;width:14.7875px;" version="1.1" viewbox="0 0 14.7875 12.925" width="14.7875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.925)"> <g transform="translate(72,-61.66)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="12.675" id="M135" style="vertical-align:-2.34499pt;width:65.112503px;" version="1.1" viewbox="0 0 65.112503 12.675" width="65.112503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.675)"> <g transform="translate(72,-61.86)"> <text transform="matrix(1,0,0,-1,-67.78,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.367388" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.569595" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.597481" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>并不会形成<我>定期对</我>的选择<gydF4y2Basvg height="12.925" id="M136" style="vertical-align:-4.74141pt;width:14.6875px;" version="1.1" viewbox="0 0 14.6875 12.925" width="14.6875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.925)"> <g transform="translate(72,-61.66)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="12.925" id="M137" style="vertical-align:-4.74141pt;width:14.7875px;" version="1.1" viewbox="0 0 14.7875 12.925" width="14.7875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.925)"> <g transform="translate(72,-61.66)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。的点<gydF4y2Basvg height="12.925" id="M138" style="vertical-align:-4.74141pt;width:14.6875px;" version="1.1" viewbox="0 0 14.6875 12.925" width="14.6875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.925)"> <g transform="translate(72,-61.66)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="13.55" id="M139" style="vertical-align:-2.29482pt;width:71.087502px;" version="1.1" viewbox="0 0 71.087502 13.55" width="71.087502" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5772982" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.869186" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.082939" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.661434" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.875187" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,加上<gydF4y2Basvg height="11.375" id="M140" style="vertical-align:-3.49493pt;width:27.75px;" version="1.1" viewbox="0 0 27.75 11.375" width="27.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.375)"> <g transform="translate(72,-62.9)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>(它是<gydF4y2Basvg height="11.325" id="M141" style="vertical-align:-0.51414pt;width:30.450001px;" version="1.1" viewbox="0 0 30.450001 11.325" width="30.450001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.325)"> <g transform="translate(72,-62.94)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.6640992" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.00432" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>th点的集合点)不超过形式<gydF4y2Basvg height="13.45" id="M142" style="vertical-align:-2.21957pt;width:116.0375px;" version="1.1" viewbox="0 0 116.0375 13.45" width="116.0375" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.827598" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.167818" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.419319" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.358482" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.698704" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.426041" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="68.466431" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.130524" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.470749" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg><i>定期对。</我>完全的数量<我>定期对</我>不大于<gydF4y2Basvg height="13.6125" id="M143" style="vertical-align:-2.34499pt;width:235.16251px;" version="1.1" viewbox="0 0 235.16251 13.6125" width="235.16251" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.143053" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.807152" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.147373" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.398872" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.35054" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="65.690765" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.854263" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.843918" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="90.184135" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.047806" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="101.99947" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="113.3397" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="117.5032" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="124.16729" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="135.50751" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="141.75902" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="149.39835" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="161.43874" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="170.42839" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="181.76862" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></p> <h4 id="existence-of-polynomials-with-optimal-distribution">4所示。的存在与最优多项式分布</gydF4y2Bah4> <p><span class="statement" id="thm4.1"><span class="statement-title">定理4.1。</gydF4y2Baspan><i>给定的数字<gydF4y2Basvg height="7.1374998" id="M144" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,一个多项式<gydF4y2Basvg height="13.6125" id="M145" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>可以建造这样的吗</我><span class="list"><span class="list-item"><span class="list-label">(一)</gydF4y2Baspan><span class="list-content"><i>条件(一)满意,</我></span></span><span class="list-item"><span class="list-label">(b)</gydF4y2Baspan><span class="list-content"><i>原始的函数<gydF4y2Basvg height="13.45" id="M146" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>正好有<gydF4y2Basvg height="7.1374998" id="M147" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>点的最大和定期对完全的数量<gydF4y2Basvg height="10.8125" id="M148" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。</我></span></span></span><i></i></span></p> <p><span class="statement" id="prooff1"><span class="statement-title"><i class="statement-title">证明。</我></span>考虑多项式<gydF4y2Baspan class="equation" id="EEq8"> <svg height="30.887501" id="M149" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 30.887501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,30.8875)"> <g transform="translate(72,-47.29)"> <text transform="matrix(1,0,0,-1,-6.39,56.1)"> <tspan style="font-size: 12.50px; " x="52.880001" y="4.9200001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="82.43" y="-7.25"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.50276" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.666259" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.54291" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.182241" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.22263" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.240002" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.892319" y="0"> +</gydF4y2Batspan> </text> <g> <path d="m 76.04,59.22 6.26,0" 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,-1,76.04,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.700001" y="-16.01"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.152317" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 122.74,59.22 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,-1,122.74,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.117323" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.49" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.142315" y="-8.7600002"> +</gydF4y2Batspan> </text> <g> <path d="m 169.43,59.22 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,-1,169.43,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.117323" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.49" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.142315" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 216.12,59.22 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,-1,216.12,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.129826" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.49" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.142315" y="-8.7600002"> +</gydF4y2Batspan> </text> <g> <path d="m 262.81,59.22 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,-1,262.81,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.139812" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 309.5,59.22 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,-1,309.5,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.139812" y="-8.7600002"> +</gydF4y2Batspan> </text> <g> <path d="m 356.19,59.22 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,-1,356.19,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.139812" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 402.88,59.22 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,-1,402.88,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.129999" y="-8.7600002"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.869999" y="-9.1800003"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.033501" y="-9.1800003"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="72.284996" y="-9.1800003"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.410751" y="-9.1800003"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="81.662247" y="-9.1800003"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>这是一个与图中所示图偶函数<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/393875/fig3/" target="_blank">3</gydF4y2Baa>。<gydF4y2Babr>考虑现在的多项式<gydF4y2Baspan class="equation" id="EEq9"> <svg height="31.012501" id="M150" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 31.012501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,31.0125)"> <g transform="translate(72,-47.19)"> <text transform="matrix(1,0,0,-1,-18.72,56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-9.54,52.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.72,56)"> <tspan style="font-size: 12.50px; " x="41.360001" y="4.9200001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.919998" y="-7.25"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.666979" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.707369" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.73" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.369812" y="0"> +</gydF4y2Batspan> </text> <g> <path d="m 68.2,59.12 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,-1,68.2,47.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.860001" y="-16.01"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.23" y="-8.7600002"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.557718" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.620001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.297321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.669998" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.322315" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 135.06,59.12 6.26,0" 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,-1,135.06,47.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.152317" y="-8.7600002"> +</gydF4y2Batspan> </text> <g> <path d="m 181.75,59.12 6.26,0" 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,-1,181.75,47.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.700001" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.152317" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 228.45,59.12 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,-1,228.45,47.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.117323" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.49" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.142315" y="-8.7600002"> +</gydF4y2Batspan> </text> <g> <path d="m 275.14,59.12 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,-1,275.14,47.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.117323" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.49" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.142315" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 321.83,59.12 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,-1,321.83,47.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.120001" y="-4.2600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.68" y="-16.43"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.48" y="-9.1800003"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.132317" y="-9.1800003"> +</gydF4y2Batspan> </text> <g> <path d="m 371.51,59.55 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,-1,371.51,47.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8299999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.129826" y="-3.8299999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.49" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.142315" y="-8.75"> −</gydF4y2Batspan> </text> <g> <path d="m 418.2,59.55 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,-1,418.2,47.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8299999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.129999" y="-8.75"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.549999" y="-8.8000002"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.713497" y="-8.8000002"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.965" y="-8.8000002"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.090748" y="-8.8000002"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.342247" y="-8.8000002"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>在哪里<gydF4y2Basvg height="11.0625" id="M151" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5147829" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.555172" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>是足够小。的图像<gydF4y2Basvg height="14.7125" id="M152" style="vertical-align:-3.2316pt;width:36.512501px;" version="1.1" viewbox="0 0 36.512501 14.7125" width="36.512501" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.04,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>与<gydF4y2Basvg height="10.9125" id="M153" style="vertical-align:-0.17555pt;width:46.612499px;" version="1.1" viewbox="0 0 46.612499 10.9125" width="46.612499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5147829" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.555172" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.806671" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.932423" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>描绘在图<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/393875/fig4/" target="_blank">4</gydF4y2Baa>。<gydF4y2Babr>表示的最大价值<gydF4y2Basvg height="13.45" id="M154" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="14.7125" id="M155" style="vertical-align:-3.2316pt;width:36.512501px;" version="1.1" viewbox="0 0 36.512501 14.7125" width="36.512501" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.04,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>的右边<gydF4y2Basvg height="10.9125" id="M156" style="vertical-align:-0.17555pt;width:35.924999px;" version="1.1" viewbox="0 0 35.924999 10.9125" width="35.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg> <svg height="18.075001" id="M157" style="vertical-align:-4.58821pt;width:45.0625px;" version="1.1" viewbox="0 0 45.0625 18.075001" width="45.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.075)"> <g transform="translate(72,-57.54)"> <text transform="matrix(1,0,0,-1,-71.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.58,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-42.49,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。表示的最大价值<gydF4y2Basvg height="13.45" id="M158" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="14.7125" id="M159" style="vertical-align:-3.2316pt;width:36.512501px;" version="1.1" viewbox="0 0 36.512501 14.7125" width="36.512501" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.04,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>左边的<gydF4y2Basvg height="15.9625" id="M160" style="vertical-align:-4.22832pt;width:88.675003px;" version="1.1" viewbox="0 0 88.675003 15.9625" width="88.675003" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.9625)"> <g transform="translate(72,-59.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.883369" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-28.18,68.5)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-21.69,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-7.6,68.5)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。一个有<gydF4y2Basvg height="13.45" id="M161" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>那<gydF4y2Basvg height="18.075001" id="M162" style="vertical-align:-4.58821pt;width:135.1375px;" version="1.1" viewbox="0 0 135.1375 18.075001" width="135.1375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.075)"> <g transform="translate(72,-57.54)"> <text transform="matrix(1,0,0,-1,-71.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-53.11,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-32.19,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-22.23,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-1.31,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,8.66,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,29.57,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。一个有<gydF4y2Basvg height="14.7125" id="M163" style="vertical-align:-3.2316pt;width:36.512501px;" version="1.1" viewbox="0 0 36.512501 14.7125" width="36.512501" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.04,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>那<gydF4y2Basvg height="18.075001" id="M164" style="vertical-align:-4.58821pt;width:135.1375px;" version="1.1" viewbox="0 0 135.1375 18.075001" width="135.1375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.075)"> <g transform="translate(72,-57.54)"> <text transform="matrix(1,0,0,-1,-71.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-53.11,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-32.19,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-22.23,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-1.31,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,8.66,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,29.57,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。然后,有两个常规双(职责。<gydF4y2Basvg height="14.775" id="M165" style="vertical-align:-4.22832pt;width:19.3375px;" version="1.1" viewbox="0 0 19.3375 14.775" width="19.3375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.775)"> <g transform="translate(72,-60.18)"> <text transform="matrix(1,0,0,-1,-71.95,64.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,69.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 1</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="18.075001" id="M166" style="vertical-align:-4.58821pt;width:19.3375px;" version="1.1" viewbox="0 0 19.3375 18.075001" width="19.3375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.075)"> <g transform="translate(72,-57.54)"> <text transform="matrix(1,0,0,-1,-71.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 2</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="18.075001" id="M167" style="vertical-align:-4.58821pt;width:19.3375px;" version="1.1" viewbox="0 0 19.3375 18.075001" width="19.3375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.075)"> <g transform="translate(72,-57.54)"> <text transform="matrix(1,0,0,-1,-71.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 2</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="14.775" id="M168" style="vertical-align:-4.22832pt;width:19.3375px;" version="1.1" viewbox="0 0 19.3375 14.775" width="19.3375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.775)"> <g transform="translate(72,-60.18)"> <text transform="matrix(1,0,0,-1,-71.95,64.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,69.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 2</gydF4y2Batspan> </text> </g> </g> </svg>)。<gydF4y2Babr>任意甚至<gydF4y2Basvg height="7.1374998" id="M169" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>的多项式<gydF4y2Baspan class="equation" id="EEq10"> <svg height="30.700001" id="M170" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 30.700001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,30.7)"> <g transform="translate(72,-47.44)"> <text transform="matrix(1,0,0,-1,3.6,56.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,12.78,53.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,19.6,56.25)"> <tspan style="font-size: 12.50px; " x="41.360001" y="4.9200001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.919998" y="-7.25"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.666979" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.707369" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.720001" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.372314" y="0"> +</gydF4y2Batspan> </text> <g> <path d="m 90.52,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,90.52,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.129826" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.49" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.142315" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 137.21,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,137.21,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.139812" y="-8.7600002"> +</gydF4y2Batspan> </text> <g> <path d="m 183.9,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,183.9,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.139812" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 230.59,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,230.59,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.129999" y="-8.7600002"> ⋯</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.880001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.240002" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.892315" y="-8.7600002"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.439999" y="-16.01"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="68.691498" y="-16.01"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.668655" y="-16.01"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="89.021378" y="-16.01"> 1</gydF4y2Batspan> </text> <g> <path d="m 293.03,59.37 32.84,0" 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,-1,306.32,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.74" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.417322" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.790001" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.442314" y="-8.7600002"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.98" y="-16.01"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.231499" y="-16.01"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.221153" y="-16.01"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.561378" y="-16.01"> 1</gydF4y2Batspan> </text> <g> <path d="m 366.3,59.37 32.84,0" 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,-1,379.6,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.74" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.42" y="-8.7600002"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="85.150002" y="-9.1099997"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="89.313499" y="-9.1099997"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.565002" y="-9.1099997"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="98.69075" y="-9.1099997"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="104.94225" y="-9.1099997"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>是被认为是最大的价值在哪里<gydF4y2Basvg height="18.237499" id="M171" style="vertical-align:-4.7111pt;width:101.9875px;" version="1.1" viewbox="0 0 101.9875 18.237499" width="101.9875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.2375)"> <g transform="translate(72,-57.41)"> <text transform="matrix(1,0,0,-1,-71.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.58,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-42.49,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-36,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.12,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="9.5699997"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.7828002" y="9.5699997"> 2</gydF4y2Batspan> </text> </g> </g> </svg>的右边<gydF4y2Basvg height="10.9125" id="M172" style="vertical-align:-0.17555pt;width:35.924999px;" version="1.1" viewbox="0 0 35.924999 10.9125" width="35.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>分别形成升序序列,和最大的价值<gydF4y2Basvg height="14.925" id="M173" style="vertical-align:-4.35121pt;width:101.9875px;" version="1.1" viewbox="0 0 101.9875 14.925" width="101.9875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.925)"> <g transform="translate(72,-60.06)"> <text transform="matrix(1,0,0,-1,-71.95,64.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,69.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.58,64.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-42.49,69.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-36,64.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.12,69.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="9.2200003"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.7828002" y="9.2200003"> 2</gydF4y2Batspan> </text> </g> </g> </svg>左边的<gydF4y2Basvg height="10.9125" id="M174" style="vertical-align:-0.17555pt;width:35.924999px;" version="1.1" viewbox="0 0 35.924999 10.9125" width="35.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>也形成升序序列。一个有<gydF4y2Basvg height="17.5375" id="M175" style="vertical-align:-4.1581pt;width:57.9375px;" version="1.1" viewbox="0 0 57.9375 17.5375" width="57.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.5375)"> <g transform="translate(72,-57.97)"> <text transform="matrix(1,0,0,-1,-71.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.0500002"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-53.11,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-32.19,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="8.6899996"> </gydF4y2Batspan> </text> </g> </g> </svg>对所有<gydF4y2Basvg height="9.9250002" id="M176" style="vertical-align:-0.13794pt;width:4.9875002px;" version="1.1" viewbox="0 0 4.9875002 9.9250002" width="4.9875002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.925)"> <g transform="translate(72,-64.06)"> <text transform="matrix(1,0,0,-1,-71.95,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。稍微改良多项式<gydF4y2Baspan class="equation" id="EEq11"> <svg height="30.700001" id="M177" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 30.700001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,30.7)"> <g transform="translate(72,-47.44)"> <text transform="matrix(1,0,0,-1,-6.95,56.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,2.23,53.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,9.05,56.25)"> <tspan style="font-size: 12.50px; " x="41.360001" y="4.9200001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.919998" y="-7.25"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.666979" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.707369" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.720001" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.372314" y="0"> +</gydF4y2Batspan> </text> <g> <path d="m 79.97,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,79.97,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.860001" y="-16.01"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.22" y="-8.7600002"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.560221" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.620001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.297321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.669998" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.322315" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 146.83,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,146.83,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.152317" y="-8.7600002"> +</gydF4y2Batspan> </text> <g> <path d="m 193.52,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,193.52,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.152317" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 240.21,59.37 6.26,0" 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,-1,240.21,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.139999" y="-8.7600002"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.810001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.169998" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.822315" y="-8.7600002"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.369999" y="-16.01"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.621498" y="-16.01"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.598656" y="-16.01"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="89.951378" y="-16.01"> 1</gydF4y2Batspan> </text> <g> <path d="m 303.58,59.37 32.83,0" 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,-1,316.87,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.74" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.417322" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.790001" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.442314" y="-8.7600002"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.98" y="-16.01"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.231499" y="-16.01"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.221153" y="-16.01"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.561378" y="-16.01"> 1</gydF4y2Batspan> </text> <g> <path d="m 376.85,59.37 32.84,0" 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,-1,390.15,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.74" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.42" y="-8.7600002"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="74.599998" y="-9.1099997"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.763496" y="-9.1099997"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="85.014999" y="-9.1099997"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="88.140747" y="-9.1099997"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="94.39225" y="-9.1099997"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>最大的值排列<gydF4y2Baspan class="equation" id="eq2"> <svg height="18.237499" id="M178" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 18.237499" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.2375)"> <g transform="translate(72,-57.41)"> <text transform="matrix(1,0,0,-1,102.17,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,111.05,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,121.02,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,141.93,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,151.9,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,172.81,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,182.78,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,203.7,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,213.66,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> ⋯</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.169498" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.209888" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,263.75,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="9.5699997"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.7828002" y="9.5699997"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,278.88,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,299.79,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="9.21"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.7828002" y="9.21"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,311.45,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="153.3" y="0.57999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="157.4635" y="0.57999998"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="163.715" y="0.57999998"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="166.84074" y="0.57999998"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="173.09225" y="0.57999998"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>因此,精确地存在<gydF4y2Basvg height="10.8125" id="M179" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg><i>定期对</我>,因此,<gydF4y2Basvg height="10.8125" id="M180" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>在微分方程非平凡周期轮(<gydF4y2Baa href="#EEq1">1。1</gydF4y2Baa>)。<gydF4y2Babr>如果<gydF4y2Basvg height="7.1374998" id="M181" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>多项式是奇数,那么<gydF4y2Baspan class="equation" id="EEq12"> <svg height="18.4625" id="M182" 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,-1,27.59,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.50276" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.666259" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.54291" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.182241" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.22263" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.787186" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,85.25,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,92.21,61.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.815815" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.156036" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.407536" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.659035" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.822536" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.47485" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.815071" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.066574" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.318069" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="79.481567" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="89.133888" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="100.47411" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="106.72561" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="112.9771" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="117.14061" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="126.79292" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="138.13315" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="144.38464" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="150.63614" y="0"> ⋯</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="166.37743" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="170.54092" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="180.20573" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="191.54596" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="195.70946" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="204.69911" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="216.03934" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="222.29083" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="226.45433" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="232.70584" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="236.86934" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="246.52165" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="257.87439" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="262.03787" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="271.02753" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="282.36774" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="288.61926" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="292.78275" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="372.54001" y="-0.44999999"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="376.70349" y="-0.44999999"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="382.95499" y="-0.44999999"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="386.08075" y="-0.44999999"> 6</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="392.33224" y="-0.44999999"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>与<gydF4y2Basvg height="7.1374998" id="M183" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>局部极大值是被考虑。maxima是递减的<gydF4y2Basvg height="11.0625" id="M184" style="vertical-align:-0.30096pt;width:35.924999px;" version="1.1" viewbox="0 0 35.924999 11.0625" width="35.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0625)"> <g transform="translate(72,-63.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>和提升<gydF4y2Basvg height="11.0625" id="M185" style="vertical-align:-0.30096pt;width:35.924999px;" version="1.1" viewbox="0 0 35.924999 11.0625" width="35.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0625)"> <g transform="translate(72,-63.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>。三个局部极大值的多项式是描绘在图<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/393875/fig5/" target="_blank">5</gydF4y2Baa>。<gydF4y2Babr>稍微修改多项式<gydF4y2Baspan class="equation" id="EEq13"> <svg height="18.4625" id="M186" 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,-1,17.5,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.50276" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.666259" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.54291" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.182241" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.22263" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.787186" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,75.17,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,82.13,61.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.803312" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.156036" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.183201" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.523422" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.574875" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.826374" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.989876" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.642189" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="82.982414" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="89.23391" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.485413" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="99.648911" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="109.30122" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="120.64145" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="126.89294" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="133.14444" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="137.30795" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="146.96027" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="158.30048" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="164.55199" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="170.80348" y="0"> ⋯</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="186.54475" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="190.70825" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="200.37308" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="211.7133" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="215.8768" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="224.86646" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="236.20668" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="242.45818" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="246.62167" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="252.87317" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="257.03668" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="266.689" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="278.02921" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="282.19272" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="291.19489" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="302.5351" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="308.78659" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="312.9501" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="382.62" y="-0.44999999"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="386.78351" y="-0.44999999"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="393.035" y="-0.44999999"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="396.16074" y="-0.44999999"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="402.41226" y="-0.44999999"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>有极大值不相等,被安排在一个最佳方式以产生最大(<gydF4y2Basvg height="10.8125" id="M187" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>)<我>定期对</我>。<gydF4y2Babr>的图像<gydF4y2Basvg height="14.7125" id="M188" style="vertical-align:-3.2316pt;width:36.512501px;" version="1.1" viewbox="0 0 36.512501 14.7125" width="36.512501" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.04,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>与<gydF4y2Basvg height="10.9125" id="M189" style="vertical-align:-0.17555pt;width:46.612499px;" version="1.1" viewbox="0 0 46.612499 10.9125" width="46.612499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5147829" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.555172" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.806671" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.932423" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>描绘在图<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/393875/fig6/" target="_blank">6</gydF4y2Baa>。</gydF4y2Baspan></p> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-ced3bc8d67bfa22c40693ae0ac9ebe79"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/figures/393875.fig.003.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-ced3bc8d67bfa22c40693ae0ac9ebe79 partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/thumbnails/393875.fig.003_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-ced3bc8d67bfa22c40693ae0ac9ebe79 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图3</gydF4y2Baspan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/aaa/2011/393875/fig3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td> <svg height="13.45" id="M190" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(固体)和<gydF4y2Basvg height="13.6375" id="M191" style="vertical-align:-2.34499pt" version="1.1" viewbox="0 0 81.199997 13.6375" width="81.199997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.790569" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.954067" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.830717" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.457548" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.497936" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.649414" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.812912" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.689564" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(虚线)。</gydF4y2Batd> </tr> </tbody> </table> </div> </div> </div> </div> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-36fe9465eefcf9effa1c2ecbd9ed166f"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/figures/393875.fig.004.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-36fe9465eefcf9effa1c2ecbd9ed166f partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/thumbnails/393875.fig.004_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-36fe9465eefcf9effa1c2ecbd9ed166f partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图4</gydF4y2Baspan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/aaa/2011/393875/fig4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td> <svg height="13.45" id="M192" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(实线),<gydF4y2Basvg height="14.7125" id="M193" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 36.512501 14.7125" width="36.512501" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.04,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(虚线),<gydF4y2Basvg height="14.7125" id="M194" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 84.650002 14.7125" width="84.650002" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.156515" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.496738" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-24.27,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-19.54,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(虚线)。</gydF4y2Batd> </tr> </tbody> </table> </div> </div> </div> </div> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-162c7239cebe0eb453a3660a4c8f9f45"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/figures/393875.fig.005.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-162c7239cebe0eb453a3660a4c8f9f45 partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/thumbnails/393875.fig.005_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-162c7239cebe0eb453a3660a4c8f9f45 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图5</gydF4y2Baspan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/aaa/2011/393875/fig5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td> <svg height="13.45" id="M195" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(固体)和<gydF4y2Basvg height="13.6375" id="M196" style="vertical-align:-2.34499pt" version="1.1" viewbox="0 0 81.199997 13.6375" width="81.199997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.790569" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.954067" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.830717" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.457548" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.497936" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.649414" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.812912" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.689564" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(虚线)。</gydF4y2Batd> </tr> </tbody> </table> </div> </div> </div> </div> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-4ba63a3c3926a23fe96272adfd544254"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/figures/393875.fig.006.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-4ba63a3c3926a23fe96272adfd544254 partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/thumbnails/393875.fig.006_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-4ba63a3c3926a23fe96272adfd544254 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图6</gydF4y2Baspan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/aaa/2011/393875/fig6/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td> <svg height="13.45" id="M197" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(固体)<gydF4y2Basvg height="14.7125" id="M198" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 36.512501 14.7125" width="36.512501" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.04,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(虚线),<gydF4y2Basvg height="14.7125" id="M199" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 84.650002 14.7125" width="84.650002" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.156515" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.496738" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-24.27,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-19.54,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(虚线)。</gydF4y2Batd> </tr> </tbody> </table> </div> </div> </div> </div> <h4 id="acknowledgments">确认</gydF4y2Bah4> <p>这项工作已经由ERAF项目没有。2010/0206/2DP / 2.1.1.2.0/10 /阿皮亚/ VIAA / 011和拉脱维亚科学委员会批准号09.1220。</gydF4y2Bap> </div> </div> <div class="ArticleReferences_xmlContent__p_40j"> <h4 class="ArticleReferences_references__GH2t_" id="references">引用</gydF4y2Bah4> <ol class="ArticleReferences_orderedReferences__mJr9M"> <li class="ArticleReferences_articleReference__ouEuh" id="B5"> <div class="referenceContent"> <p class="referenceText">m·萨巴蒂”Lienard极限环环形封闭时期,环形或封闭时期,“<我>落基山脉数学杂志》上</我>,35卷,不。1,第266 - 253页,2005。</gydF4y2Bap>视图:<gydF4y2Ba!-- --> <a href="https://doi.org/10.1216/rmjm/1181069780" target="_blank" rel="noreferrer">出版商的网站</gydF4y2Baa> <span class="sep">|</gydF4y2Baspan> <a href="https://scholar.google.com/scholar_lookup?title=Li%C3%A9nard%20limit%20cycles%20enclosing%20period%20annuli%2C%20or%20enclosed%20by%20period%20annuli&author=M.%20Sabatini&publication_year=2005" target="_blank" rel="noreferrer">谷歌学术搜索</gydF4y2Baa> <span class="sep">|</gydF4y2Baspan> <a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1084.34037" target="_blank" rel="noreferrer">Zentralblatt数学</gydF4y2Baa> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B2"> <div class="referenceContent"> <p class="referenceText">Atslega和f . Sadyrbaev”时期轮和非线性边值问题的正解”<我>第七届代表大会国际学会学报》进行分析,其应用和计算(艾萨克' 09)</我>2009年7月,<gydF4y2Baa target="_blank" href="http://www.isaac2009.org/Congress/Welcome.html">http://www.isaac2009.org/Congress/Welcome.html</gydF4y2Baa>。</gydF4y2Bap>视图:<gydF4y2Ba!-- --> <a href="https://scholar.google.com/scholar_lookup?title=Period%20annuli%20and%20positive%20solutions%20of%20nonlinear%20boundary%20value%20problems&author=S.%20Atslega&author=F.%20Sadyrbaev" target="_blank" rel="noreferrer">谷歌学术搜索</gydF4y2Baa> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B4"> <div class="referenceContent"> <p class="referenceText">m·萨巴蒂”的功能<米ath id="M200" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <msup> <mi> x</米我><米o> ”</米o> </msup> <mo> +</米o> <mi> f</米我><米row> <mo stretchy="false"> (</米o> <mi> x</米我><米o stretchy="false"> )</米o> </mrow> <msup> <msup> <mi> x</米我><米o> ′</米o> </msup> <mn> 2</米n></米sup> <mo> +</米o> <mi> g</米我><米row> <mo stretchy="false"> (</米o> <mi> x</米我><米o stretchy="false"> )</米o> </mrow> <mo> =</米o> <mn> 0</米n></米row> </math>”,<我>杂志的微分方程</我>,卷196,不。1,第168 - 151页,2004。</gydF4y2Bap>视图:<gydF4y2Ba!-- --> <a href="https://doi.org/10.1016/S0022-0396(03)00067-6" target="_blank" rel="noreferrer">出版商的网站</gydF4y2Baa> <span class="sep">|</gydF4y2Baspan> <a href="https://scholar.google.com/scholar_lookup?title=On%20the%20period%20function%20of%20x%E2%80%B3%2Bf(x)x%E2%80%B22%2Bg(x)%3D0&author=M.%20Sabatini&publication_year=2004" target="_blank" rel="noreferrer">谷歌学术搜索</gydF4y2Baa> <span class="sep">|</gydF4y2Baspan> <a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1048.34068" target="_blank" rel="noreferrer">Zentralblatt数学</gydF4y2Baa> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B1"> <div class="referenceContent"> <p class="referenceText">美国Atslega和f . Sadyrbaev二阶非线性诺伊曼BVP多个解决方案,”<我>学报第六届国际会议上微分方程和动力系统</我>Watam出版社,页100 - 103年,巴尔的摩,马里兰州,美国,2009年5月。</gydF4y2Bap>视图:<gydF4y2Ba!-- --> <a href="https://scholar.google.com/scholar_lookup?title=Multiple%20solutions%20of%20the%20second%20order%20nonlinear%20Neumann%20BVP&author=S.%20Atslega&author=F.%20Sadyrbaev" target="_blank" rel="noreferrer">谷歌学术搜索</gydF4y2Baa> </div></li> </ol> </div> <h4 class="copyright-title" id="copyright">版权</gydF4y2Bah4> <div class="copyright-body"> 版权©2011叶莲娜Kozmina和Felix Sadyrbaev。这是一个开放的分布式下文章<gydF4y2Baa rel="license" href="http://creativecommons.org/licenses/by/3.0/">知识共享归属许可</gydF4y2Baa>,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。</gydF4y2Badiv> <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/2011/393875.pdf" 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𝑥 ″ + 𝑔 ( 𝑥 ) = 0 , where is a polynomial, allowing the equation to have multiple period annuli. We detect the maximal number of possible period annuli for polynomials of odd degree and show how the respective optimal polynomials can be constructed."> 上轮数量最大的时期</gydF4y2Batitle> <link rel="preload stylesheet" as="style" type="text/css" href="https://cdn.bibblio.org/rcm/4.28.0/bib-related-content.min.css"> <link rel="preload" href="https://static.hindawi.com/new/next_assets/2023-08-03-0017a694320dbe69a559e8120be98c/_next/static/css/b2661f2cd4bd618b.css" as="style"> <link rel="stylesheet" href="https://static.hindawi.com/new/next_assets/2023-08-03-0017a694320dbe69a559e8120be98c/_next/static/css/b2661f2cd4bd618b.css" data-n-g=""> <style id="__jsx-903e4b2e5d3241e4">div#__next{display:-webkit-box;display:-webkit-flex;display:-moz-box;display:-ms-flexbox;display:flex;min-height:100vh;-webkit-box-orient:vertical;-webkit-box-direction:normal;-webkit-flex-direction:column;-moz-box-orient:vertical;-moz-box-direction:normal;-ms-flex-direction:column;flex-direction:column}</style> </head> 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class="ArticleMiddleSection_articleMiddleSection__gAv9z"> <div class="articleHeader"> <div class="articleHeader__specialIssue"> <span class="articleHeader__specialIssue_tag">特殊的问题</gydF4y2Baspan> <h2 class="articleHeader__specialIssue_title">最近的进展微分和差分方程</gydF4y2Bah2> <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</gydF4y2Baa> </div> <strong>研究文章|<gydF4y2Ba!-- -->开放获取</gydF4y2Bastrong> <div class="articleHeader__meta"> <span>体积<gydF4y2Ba!-- -->2011年<gydF4y2Ba!-- -->|</gydF4y2Baspan> <span>文章的ID<gydF4y2Ba!-- -->393875年<gydF4y2Ba!-- -->|</gydF4y2Baspan> <span class="articleHeader__meta_doiLink"><a href="https://doi.org/10.1155/2011/393875" aria-label="Doi-link" target="_blank" rel="noreferrer">https://doi.org/10.1155/2011/393875</gydF4y2Baa></span> </div> <div class="simpleShowMore"> <button class="simpleShowMore__button">显示引用</gydF4y2Babutton> </div> <h1 class="articleHeader__title">上轮数量最大的时期</gydF4y2Bah1> <div class="articleHeader__authors"> <span class="articleHeader__authors_author">叶莲娜Kozmina<gydF4y2Basup>1</gydF4y2Basup></span> <span class="articleHeader__authors_author">和<gydF4y2Bastrong>Felix Sadyrbaev</gydF4y2Bastrong><a href="//www.newsama.com/cdn-cgi/l/email-protection" aria-label="Mail Option"><span role="img" class="anticon"> <svg version="1.0" xmlns="http://www.w3.org/2000/svg" width="1em" height="1em" viewbox="0 0 1401 1101"> <path fill="#6ba439" d="M132.5 2.1C101.4 6 71.1 20.5 48.3 42.4c-22.7 21.7-37.5 48.3-44.6 80l-2.2 10.1v837l2.2 10.1c6.7 30 19.3 53.9 39.8 75.3 23.3 24.3 56.4 40.9 90 45 12.8 1.6 1122.2 1.6 1135 0 38.9-4.8 75.9-25.6 100-56.4 15-19.3 24.2-39 29.8-63.9l2.2-10.1v-837l-2.2-10.1c-7.1-31.8-21.9-58.3-44.6-80.1-20.2-19.2-43.9-31.7-73.6-38.5l-9.6-2.3L705 1.4c-321.9-.1-568.5.2-572.5.7zm1123.4 99.5c1.7.4 3.1 1 3.1 1.4 0 .5-125.6 87.7-279 194L700.9 490.2 422 297C268.5 190.7 143 103.4 143 103c0-.5 1-1.1 2.3-1.3 3.5-.7 1107.1-.8 1110.6-.1zM401 404c164.4 113.8 299.4 207 300 207 .6 0 135.6-93.2 300.1-207 164.5-113.9 299.3-207 299.5-207 .2 0 .4 170.9.4 379.7 0 417.9.5 386-6.1 398.3-6.2 11.6-19 21.4-31.9 24.4-5.8 1.4-67.4 1.6-562 1.6s-556.2-.2-562-1.6c-12.9-3-25.7-12.8-31.9-24.4-6.6-12.3-6.1 19.6-6.1-398.3 0-208.8.2-379.7.5-379.7S236.6 290.1 401 404z"></path> </svg></span></a><sup>2</gydF4y2Basup></span> </div> <div class="simpleShowMore"> <button class="simpleShowMore__button">显示更多</gydF4y2Babutton> </div> <div class="articleHeader__academicEditor"> <strong>学术编辑器:</gydF4y2Bastrong> <span>埃琳娜·布雷弗曼</gydF4y2Baspan> </div> <div class="articleHeader__timeline"> <div class="articleHeader__timeline_item "> <strong>收到了</gydF4y2Bastrong> <span>2010年10月30日</gydF4y2Baspan> </div> <div class="articleHeader__timeline_item "> <strong>接受</gydF4y2Bastrong> <span>2010年12月30日</gydF4y2Baspan> </div> <div class="articleHeader__timeline_item articleHeader__timeline_item_sticky"> <strong>发表</gydF4y2Bastrong> <span>2011年1月27日</gydF4y2Baspan> </div> </div> </div> <div class="articleBody"> <div class="xml-content"> <h4 class="header" id="abstract">文摘</gydF4y2Bah4> <p>我们考虑方程<gydF4y2Basvg height="15.475" id="M1" style="vertical-align:-2.34499pt;width:88.337502px;" version="1.1" viewbox="0 0 88.337502 15.475" width="88.337502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.475)"> <g transform="translate(72,-59.62)"> <text transform="matrix(1,0,0,-1,-71.95,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-55.85,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.491697" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.655195" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.531845" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.171181" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.211567" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>,在那里<gydF4y2Basvg height="13.6125" id="M2" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个多项式,允许方程有多个环形。我们检测的最大可能数轮多项式的奇怪程度和展示各自的最优多项式可以构造。</gydF4y2Bap> <span class="end-abs"></span> <h4 id="introduction">1。介绍</gydF4y2Bah4> <p>考虑方程<gydF4y2Baspan class="equation" id="EEq1"> <svg height="17.25" id="M3" 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,-1,172.32,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,179.2,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,188.43,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.08" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.2435" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.12015" y="-0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.746979" y="-0.0099999998"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.787369" y="-0.0099999998"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.038868" y="-0.0099999998"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="276.32001" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="280.48349" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="286.73499" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="289.86075" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="296.11224" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>在哪里<gydF4y2Basvg height="13.6125" id="M4" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个奇怪的多项式与简单的0。</gydF4y2Bap> <p>等价的微分系统<gydF4y2Baspan class="equation" id="EEq2"> <svg height="16.5375" id="M5" 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,-1,148.71,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.8766499" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.953348" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.993736" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.195225" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.502258" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="67.703743" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="74.780441" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.820831" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.385384" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="104.12498" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="108.28848" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="115.16513" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="316.04001" y="0.63"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="320.20349" y="0.63"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="326.45499" y="0.63"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="329.58075" y="0.63"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="335.83224" y="0.63"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>在临界点<gydF4y2Basvg height="14.7125" id="M6" style="vertical-align:-3.2316pt;width:36.525002px;" version="1.1" viewbox="0 0 36.525002 14.7125" width="36.525002" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-61.67,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.45,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.452748" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,在那里<gydF4y2Basvg height="11.05" id="M7" style="vertical-align:-3.2316pt;width:11.7875px;" version="1.1" viewbox="0 0 11.7875 11.05" width="11.7875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.84,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>是零<gydF4y2Basvg height="13.6125" id="M8" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。回想一下,一个临界点<gydF4y2Basvg height="10.75" id="M9" style="vertical-align:-0.13794pt;width:11.875px;" version="1.1" viewbox="0 0 11.875 10.75" width="11.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>(<gydF4y2Baa href="#EEq2">1。2</gydF4y2Baa>)是<我>一个中心</我>如果它有被刺破小区覆盖重要的周期。</gydF4y2Bap> <p>我们将使用以下定义。</gydF4y2Bap> <p><span class="statement" id="deff1.1"><span class="statement-title"><i class="statement-title">定义1.1(见[<gydF4y2Baa href="#B5">1</gydF4y2Baa>])。</我></span>一个<我>中部地区</我>是最大的连接周边地区覆盖周期<gydF4y2Basvg height="10.75" id="M10" style="vertical-align:-0.13794pt;width:11.875px;" version="1.1" viewbox="0 0 11.875 10.75" width="11.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></p> <p><span class="statement" id="deff1.2"><span class="statement-title"><i class="statement-title">定义1.2(见[<gydF4y2Baa href="#B5">1</gydF4y2Baa>])。</我></span>一个<我>期环</我>是每个连通区域覆盖着重要的同心周期。</gydF4y2Baspan></p> <p><span class="statement" id="deff1.3"><span class="statement-title"><i class="statement-title">定义1.3。</我></span>我们将调用一个时期环中部地区<我>一段小环。</我>周期轨迹的一个微不足道的环包围一个临界点的中心。</gydF4y2Baspan></p> <p><span class="statement" id="deff1.4"><span class="statement-title"><i class="statement-title">定义1.4。</我></span>分别一段时间环封闭数(不止一个)将称为临界点<我>重要的环。</我></span></p> <p>例如,有四个中部地区和三个非平凡周期轮相图描绘在图<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/393875/fig2/" target="_blank">2</gydF4y2Baa>。</gydF4y2Bap> <p>内轮的连续周期解。他们可以用于构造非线性方程组的例子有规定数量的狄利克雷问题的解决方案<gydF4y2Baspan class="equation" id="eq1"> <svg height="17.2875" id="M11" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 17.2875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.2875)"> <g transform="translate(72,-58.17)"> <text transform="matrix(1,0,0,-1,97.72,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,104.59,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,113.82,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.08" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.2435" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.12015" y="-0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.746979" y="-0.0099999998"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.787369" y="-0.0099999998"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.038868" y="-0.0099999998"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.345901" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.29805" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="99.461548" y="-0.0099999998"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="105.71304" y="-0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="113.35238" y="-0.0099999998"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="125.39277" y="-0.0099999998"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="131.64427" y="-0.0099999998"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="160.95129" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="169.90344" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="174.06696" y="-0.0099999998"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="180.31845" y="-0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="187.95778" y="-0.0099999998"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="199.99817" y="-0.0099999998"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="206.24966" y="-0.0099999998"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="350.92999" y="0.02"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="355.09351" y="0.02"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="361.345" y="0.02"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="364.47076" y="0.02"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="370.72226" y="0.02"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>或者一个给定数量的正解(<gydF4y2Baa href="#B2">2</gydF4y2Baa>]同样的问题。</gydF4y2Bap> <p>在某些情况下,环形时期(<gydF4y2Baa href="#EEq1">1。1</gydF4y2Baa>)在一个耗散方程产生极限环<gydF4y2Baspan class="equation" id="EEq3"> <svg height="17.2875" id="M12" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 17.2875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.2875)"> <g transform="translate(72,-58.17)"> <text transform="matrix(1,0,0,-1,144.03,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,150.9,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,160.13,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.870001" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.033499" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.910149" y="-0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.149147" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.025795" y="-0.0099999998"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.414829" y="-0.0099999998"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.755051" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="72.494644" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="76.65815" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.534798" y="-0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="91.174126" y="-0.0099999998"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="103.21452" y="-0.0099999998"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="109.46602" y="-0.0099999998"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="304.62" y="0.02"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="308.78351" y="0.02"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="315.035" y="0.02"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="318.16074" y="0.02"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="324.41226" y="0.02"> )</gydF4y2Batspan> </text> </g> </g> </svg></span></p> <p>Lienard方程quadratical术语<gydF4y2Baspan class="equation" id="EEq4"> <svg height="18.700001" id="M13" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 18.700001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.7)"> <g transform="translate(72,-57.04)"> <text transform="matrix(1,0,0,-1,143.15,60.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,150.03,65.84)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,159.26,60.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.855244" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.018744" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.895393" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.146893" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.023544" y="0"> ′</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,208.9,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,216.55,60.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.079819" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.243317" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.119967" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.7593" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.787186" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="248.2" y="-0.55000001"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="252.36349" y="-0.55000001"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="258.61499" y="-0.55000001"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="261.74075" y="-0.55000001"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="267.99225" y="-0.55000001"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>可以减少的形式(<gydF4y2Baa href="#EEq1">1。1</gydF4y2Baa>)萨巴蒂的转换<gydF4y2Baa href="#B4">3</gydF4y2Baa>]<gydF4y2Baspan class="equation" id="EEq5"> <svg height="37.012501" id="M14" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 37.012501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,37.0125)"> <g transform="translate(72,-42.39)"> <text transform="matrix(1,0,0,-1,147.88,54.06)"> <tspan style="font-size: 12.50px; " x="70.160004" y="7.6900001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.3897533" y="0"> ∶</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.819176" y="0"> Φ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.446964" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.610462" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.487114" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.113945" y="0"> =</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,225.05,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> 0</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,232.44,54.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,238.01,59.06)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.4087362" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.3231516" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="12.174032" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,253.59,54.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.152916" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="211.16" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="215.3235" y="-0.0099999998"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="221.575" y="-0.0099999998"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="224.70074" y="-0.0099999998"> 6</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="230.95226" y="-0.0099999998"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>在哪里<gydF4y2Basvg height="19.424999" id="M15" style="vertical-align:-4.59964pt;width:105.7px;" version="1.1" viewbox="0 0 105.7 19.424999" width="105.7" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.425)"> <g transform="translate(72,-56.46)"> <text transform="matrix(1,0,0,-1,-71.95,61.09)"> <tspan style="font-size: 12.50px; " x="38.439999" y="0.02"> ∫</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.7268538" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.890353" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.767002" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.393833" y="0"> =</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-27.81,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="-1" y="11.46"> 0</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-20.41,61.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.603985" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.767483" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.419079" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。自<gydF4y2Basvg height="11.0625" id="M16" style="vertical-align:-0.30096pt;width:64.300003px;" version="1.1" viewbox="0 0 64.300003 11.0625" width="64.300003" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.578018" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.053852" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.705448" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.045429" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.085819" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>,这是一一对应,逆函数<gydF4y2Basvg height="13.45" id="M17" style="vertical-align:-2.21957pt;width:54.525002px;" version="1.1" viewbox="0 0 54.525002 13.45" width="54.525002" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.257021" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.420521" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.346943" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是定义良好的。</gydF4y2Bap> <p><span class="statement" id="lem1"><span class="statement-title">引理1.5(见[<gydF4y2Baa href="#B4">3</gydF4y2Baa>引理1])。</gydF4y2Baspan><i>这个函数<gydF4y2Basvg height="13.45" id="M18" style="vertical-align:-2.21957pt;width:24.025px;" version="1.1" viewbox="0 0 24.025 13.45" width="24.025" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.8766499" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.953588" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个解决方案(<gydF4y2Baa href="#EEq4">1。5</gydF4y2Baa>)当且仅当<gydF4y2Basvg height="13.45" id="M19" style="vertical-align:-2.21957pt;width:88.449997px;" version="1.1" viewbox="0 0 88.449997 13.45" width="88.449997" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.00336" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.63019" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.670578" y="0"> Φ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.210369" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.373867" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.250519" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.414017" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.327454" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.490952" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个解决方案</我><span class="equation" id="EEq6"> <svg height="18.4625" id="M20" 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,-1,147.54,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,153.47,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9756801" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,162.7,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.067314" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.230814" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.195465" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.358963" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.285385" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.448887" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.687881" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,221.96,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.4087362" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.3231516" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="13.136752" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="16.051168" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="20.199615" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="23.114033" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,251.96,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.291889" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="212.78999" y="-0.46000001"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="216.95351" y="-0.46000001"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="223.205" y="-0.46000001"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="226.33075" y="-0.46000001"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="232.58224" y="-0.46000001"> )</gydF4y2Batspan> </text> </g> </g> </svg></span><i></i></span></p> <p>在本文中,我们的任务是定义的最大数量的非平凡周期轮(<gydF4y2Baa href="#EEq1">1。1</gydF4y2Baa>)。<gydF4y2Baspan class="list"><span class="list-item"><span class="list-label">(一)</gydF4y2Baspan><span class="list-content">我们假设<gydF4y2Basvg height="13.6125" id="M21" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个奇怪的多项式与简单的零和负系数主要术语(<gydF4y2Basvg height="13.6125" id="M22" style="vertical-align:-2.34499pt;width:87.962502px;" version="1.1" viewbox="0 0 87.962502 13.6125" width="87.962502" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.87953" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.457308" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.084137" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.124527" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.689083" y="0"> ∞</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="13.6125" id="M23" style="vertical-align:-2.34499pt;width:87.962502px;" version="1.1" viewbox="0 0 87.962502 13.6125" width="87.962502" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.87953" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.457308" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.084137" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.124527" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.689083" y="0"> ∞</gydF4y2Batspan> </text> </g> </g> </svg>)。一个零<gydF4y2Basvg height="7.375" id="M24" style="vertical-align:-0.17555pt;width:7.9250002px;" version="1.1" viewbox="0 0 7.9250002 7.375" width="7.9250002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.375)"> <g transform="translate(72,-66.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>被称为简单如果<gydF4y2Basvg height="13.6125" id="M25" style="vertical-align:-2.34499pt;width:53.224998px;" version="1.1" viewbox="0 0 53.224998 13.6125" width="53.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.553972" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.180801" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.221191" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="13.6375" id="M26" style="vertical-align:-2.34499pt;width:54.262501px;" version="1.1" viewbox="0 0 54.262501 13.6375" width="54.262501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.764843" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.928342" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.167339" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.406336" y="0"> ≠</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.058891" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></span></span></p> <p>一种原始的图像功能<gydF4y2Basvg height="19.424999" id="M27" style="vertical-align:-4.59964pt;width:106.525px;" version="1.1" viewbox="0 0 106.525 19.424999" width="106.525" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.425)"> <g transform="translate(72,-56.46)"> <text transform="matrix(1,0,0,-1,-71.95,61.09)"> <tspan style="font-size: 12.50px; " x="39.889999" y="0.02"> ∫</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.844181" y="0"> =</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-26.36,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="-1" y="11.46"> 0</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-18.96,61.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.816295" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.979794" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.63139" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>甚至是一个多项式与可能的多个局部极大值。</gydF4y2Bap> <p>这个函数<gydF4y2Basvg height="16.700001" id="M28" style="vertical-align:-2.34499pt;width:178.625px;" version="1.1" viewbox="0 0 178.625 16.700001" width="178.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.7)"> <g transform="translate(72,-58.64)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.818455" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.858845" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.423401" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.300049" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.463547" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-8.6,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-0.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,16.51,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,21.38,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,36.59,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,44.24,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,61.81,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,66.68,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个示例。</gydF4y2Bap> <p>我们将讨论重要的时期环形部分<gydF4y2Baa href="#sec2">2</gydF4y2Baa>。节<gydF4y2Baa href="#sec3">3</gydF4y2Baa>最大数量的<我>定期对</我>检测到。部分<gydF4y2Baa href="#sec4">4</gydF4y2Baa>致力于建设多项式<gydF4y2Basvg height="13.6125" id="M29" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>提供最大数量的吗<我>定期对</我>,或等价于非平凡周期轮(<gydF4y2Baa href="#EEq1">1。1</gydF4y2Baa>)。</gydF4y2Bap> <h4 id="nontrivial-period-annuli">2。非平凡周期轮</gydF4y2Bah4> <p>下面的结果提供了标准轮存在的重要的时期。</gydF4y2Bap> <p><span class="statement" id="thm2.1"><span class="statement-title">定理2.1(见[<gydF4y2Baa href="#B1">4</gydF4y2Baa>])。</gydF4y2Baspan><i>假设<gydF4y2Basvg height="13.6125" id="M30" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>在(<gydF4y2Baa href="#EEq1">1。1</gydF4y2Baa>)是一个使用简单的零多项式。假设<gydF4y2Basvg height="14.2375" id="M31" style="vertical-align:-3.13504pt;width:21.924999px;" version="1.1" viewbox="0 0 21.924999 14.2375" width="21.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.2375)"> <g transform="translate(72,-60.61)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.38,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="14.2375" id="M32" style="vertical-align:-3.13504pt;width:21.924999px;" version="1.1" viewbox="0 0 21.924999 14.2375" width="21.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.2375)"> <g transform="translate(72,-60.61)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.38,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>(<gydF4y2Basvg height="14.2375" id="M33" style="vertical-align:-3.13504pt;width:63.112499px;" version="1.1" viewbox="0 0 63.112499 14.2375" width="63.112499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.2375)"> <g transform="translate(72,-60.61)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.38,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.04,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-26.43,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>)nonneighboring点最大的原始功能<gydF4y2Basvg height="13.45" id="M34" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。假设其他局部最大值<gydF4y2Basvg height="13.45" id="M35" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>在这一期间<gydF4y2Basvg height="14.6" id="M36" style="vertical-align:-3.13504pt;width:60.650002px;" version="1.1" viewbox="0 0 60.650002 14.6" width="60.650002" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-55.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-50.35,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-32.57,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-27.7,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(严格)小于<gydF4y2Basvg height="14.7125" id="M37" style="vertical-align:-3.13504pt;width:138.96249px;" version="1.1" viewbox="0 0 138.96249 14.7125" width="138.96249" 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,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 米</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.203168" y="0"> n</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.618168" y="0"> {</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.619608" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.79681" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.960308" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-16.42,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-11.55,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ;</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.904535" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.068035" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,24.08,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,28.96,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> }</gydF4y2Batspan> </text> </g> </g> </svg>。</我><br><i>然后,存在一个非平凡周期环与一对相关联<gydF4y2Basvg height="14.6" id="M38" style="vertical-align:-3.13504pt;width:60.650002px;" version="1.1" viewbox="0 0 60.650002 14.6" width="60.650002" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-55.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-50.35,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-32.57,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-27.7,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</我></span></p> <p>很明显,如果<gydF4y2Basvg height="13.45" id="M39" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>有<gydF4y2Basvg height="7.1374998" id="M40" style="vertical-align:-0.10033pt;width:11.225px;" version="1.1" viewbox="0 0 11.225 7.1374998" width="11.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>对实证的极大值点<gydF4y2Basvg height="7.1374998" id="M41" style="vertical-align:-0.10033pt;width:11.225px;" version="1.1" viewbox="0 0 11.225 7.1374998" width="11.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>非平凡周期轮存在。</gydF4y2Bap> <p>考虑,例如,(<gydF4y2Baa href="#EEq1">1。1</gydF4y2Baa>),<gydF4y2Baspan class="equation" id="EEq7"> <svg height="16.5375" id="M42" 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,-5.14,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.7270937" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.890593" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.767242" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.406576" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.446964" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.01152" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.97617" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.139671" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.791985" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="82.13221" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="88.383705" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="94.635208" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="98.798706" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="108.45102" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="119.79124" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="126.04274" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="129.16849" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="135.42" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="141.67149" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="145.83499" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="155.4873" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="166.82753" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="173.07903" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="176.20477" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="182.45628" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="188.70778" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="192.87128" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="202.52359" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="213.86382" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="220.11531" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="223.24106" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="229.49257" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="235.74406" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="239.90756" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="249.55988" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="260.90012" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="267.15161" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="270.27734" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="276.52884" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="282.78036" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="286.94385" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="296.59616" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="307.94888" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="314.20038" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="317.32614" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="323.57764" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="329.81665" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="333.98013" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="343.63245" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="354.98517" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="361.23666" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="364.36243" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="370.61392" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="376.85294" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="381.01642" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="390.68124" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="402.02145" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="408.27295" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="411.39871" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="417.65021" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="423.88922" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="469.89001" y="0.63"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="474.0535" y="0.63"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="480.30499" y="0.63"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="483.43076" y="0.63"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="489.68225" y="0.63"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>等效系统交替“马鞍”和“中心”的图<gydF4y2Basvg height="13.45" id="M43" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>描绘在图<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/393875/fig1/" target="_blank">1</gydF4y2Baa>。</gydF4y2Bap> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-11bfda1e82bef512b7f3ae7cbf15d730"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/figures/393875.fig.001.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-11bfda1e82bef512b7f3ae7cbf15d730 partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/thumbnails/393875.fig.001_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-11bfda1e82bef512b7f3ae7cbf15d730 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图1</gydF4y2Baspan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/aaa/2011/393875/fig1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td></td> </tr> </tbody> </table> </div> </div> </div> </div> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-09b08ee9d434e3152ba0710c88656624"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/figures/393875.fig.002.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-09b08ee9d434e3152ba0710c88656624 partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/thumbnails/393875.fig.002_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-09b08ee9d434e3152ba0710c88656624 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图2</gydF4y2Baspan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/aaa/2011/393875/fig2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td>的相图(<gydF4y2Baa href="https://static.hindawi.com/articles/aaa/volume-2011/393875/figures/393875/">1。1</gydF4y2Baa>),<gydF4y2Basvg height="13.45" id="M44" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是在图<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/fig1/">1</gydF4y2Baa>。</gydF4y2Batd> </tr> </tbody> </table> </div> </div> </div> </div> <p>有三对实证轮存在的极大值点和三个重要的时期,是描绘在图<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/393875/fig2/" target="_blank">2</gydF4y2Baa>。</gydF4y2Bap> <h4 id="polynomials">3所示。多项式</gydF4y2Bah4> <p>考虑一个多项式<gydF4y2Basvg height="13.45" id="M45" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。的局部极大值点<gydF4y2Basvg height="11.05" id="M46" style="vertical-align:-3.2316pt;width:12.75px;" version="1.1" viewbox="0 0 12.75 11.05" width="12.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="12.975" id="M47" style="vertical-align:-4.77652pt;width:14.25px;" version="1.1" viewbox="0 0 14.25 12.975" width="14.25" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.975)"> <g transform="translate(72,-61.62)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>的<gydF4y2Basvg height="13.45" id="M48" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>如果时间间隔是实证<gydF4y2Basvg height="16.637501" id="M49" style="vertical-align:-4.77652pt;width:43.799999px;" version="1.1" viewbox="0 0 43.799999 16.637501" width="43.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.91,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.69,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-45.6,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-41.18,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>包含至少一个局部最大值的点<gydF4y2Basvg height="13.45" id="M50" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Bap> <p><span class="statement" id="deff3.1"><span class="statement-title"><i class="statement-title">定义3.1。</我></span>两个实证的极大值点<gydF4y2Basvg height="14.425" id="M51" style="vertical-align:-4.77652pt;width:46.262501px;" version="1.1" viewbox="0 0 46.262501 14.425" width="46.262501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.425)"> <g transform="translate(72,-60.46)"> <text transform="matrix(1,0,0,-1,-71.95,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.38,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-39.47,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>的<gydF4y2Basvg height="13.45" id="M52" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>将被称为<我>定期对</我>如果<gydF4y2Basvg height="16.75" id="M53" style="vertical-align:-4.77652pt;width:171.55px;" version="1.1" viewbox="0 0 171.55 16.75" width="171.55" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.75)"> <g transform="translate(72,-58.6)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.844181" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.884571" y="0"> 米</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.611904" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.087738" y="0"> n</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.502735" y="0"> {</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.504173" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.681381" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="82.844879" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,17.78,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,21,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.541948" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.705448" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,50.59,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,55.02,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> }</gydF4y2Batspan> </text> </g> </g> </svg>在任何其他点的最大躺在间隔<gydF4y2Basvg height="16.637501" id="M54" style="vertical-align:-4.77652pt;width:43.799999px;" version="1.1" viewbox="0 0 43.799999 16.637501" width="43.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.91,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.69,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-45.6,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-41.18,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></p> <p><span class="statement" id="thm3.1"><span class="statement-title">定理3.2。</gydF4y2Baspan><i>假设<gydF4y2Basvg height="13.6125" id="M55" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个多项式满足条件让<gydF4y2Basvg height="13.45" id="M56" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是一个原始的函数<gydF4y2Basvg height="13.6125" id="M57" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="7.1374998" id="M58" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>局部极大值<gydF4y2Basvg height="13.45" id="M59" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</我><br><i>然后,最大可能的常规双数量<gydF4y2Basvg height="10.8125" id="M60" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。</我></span></p> <p><span class="statement" id="proof1"><span class="statement-title"><i class="statement-title">证明。</我></span>用归纳法,让<gydF4y2Basvg height="11.0125" id="M61" style="vertical-align:-3.20526pt;width:81.925003px;" version="1.1" viewbox="0 0 81.925003 11.0125" width="81.925003" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0125)"> <g transform="translate(72,-63.19)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.2,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.11,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-43.24,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-11.36,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>连续的极大值点<gydF4y2Basvg height="13.45" id="M62" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="12.4625" id="M63" style="vertical-align:-3.20526pt;width:119.4px;" version="1.1" viewbox="0 0 119.4 12.4625" width="119.4" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.4625)"> <g transform="translate(72,-62.03)"> <text transform="matrix(1,0,0,-1,-71.95,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.73,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-37.81,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-29.46,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> ⋯</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.156996" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.197384" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,18.62,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。<gydF4y2Babr><span class="list"><span class="list-item"><span class="list-label">(1)</gydF4y2Baspan><span class="list-content">让<gydF4y2Basvg height="10.9125" id="M64" style="vertical-align:-0.17555pt;width:35.099998px;" version="1.1" viewbox="0 0 35.099998 10.9125" width="35.099998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.6773224" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.71771" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg>。以下三个点的组合都是可能的最大值:</gydF4y2Baspan></span></span><span class="list"><span class="list-item"><span class="list-label">(一)</gydF4y2Baspan><span class="list-content"> <svg height="14.75" id="M65" style="vertical-align:-3.25793pt;width:148.6125px;" version="1.1" viewbox="0 0 148.6125 14.75" width="148.6125" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.09,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,37.8,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,42.67,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,</gydF4y2Baspan></span><span class="list-item"><span class="list-label">(b)</gydF4y2Baspan><span class="list-content"> <svg height="14.75" id="M66" style="vertical-align:-3.25793pt;width:191.6875px;" version="1.1" viewbox="0 0 191.6875 14.75" width="191.6875" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.09,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.541948" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.705448" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,27.5,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,32.37,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,72.26,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,77.14,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,</gydF4y2Baspan></span><span class="list-item"><span class="list-label">(c)</gydF4y2Baspan><span class="list-content"> <svg height="14.75" id="M67" style="vertical-align:-3.25793pt;width:148.6125px;" version="1.1" viewbox="0 0 148.6125 14.75" width="148.6125" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.09,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,37.8,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,42.67,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,</gydF4y2Baspan></span><span class="list-item"><span class="list-label">(d)</gydF4y2Baspan><span class="list-content"> <svg height="14.75" id="M68" style="vertical-align:-3.25793pt;width:191.6875px;" version="1.1" viewbox="0 0 191.6875 14.75" width="191.6875" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.09,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.541948" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.705448" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,27.5,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,32.37,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,72.26,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,77.14,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></span></span><br>只有(b)提供<我>一双普通的</我>。在这种情况下,因此,最大数量的<我>定期对</我>是1。<gydF4y2Babr>(2)假设的任何序列<gydF4y2Basvg height="11.0625" id="M69" style="vertical-align:-0.30096pt;width:35.099998px;" version="1.1" viewbox="0 0 35.099998 11.0625" width="35.099998" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.6773224" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.71771" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg>命令的极大值点<gydF4y2Basvg height="13.45" id="M70" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>最大数量的<我>定期对</我>是<gydF4y2Basvg height="10.8125" id="M71" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。不失一般性,添加到右边一点的最大功能<gydF4y2Basvg height="13.45" id="M72" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。我们得到的序列<gydF4y2Basvg height="11.325" id="M73" style="vertical-align:-0.51414pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 11.325" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.325)"> <g transform="translate(72,-62.94)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>连续的最大点<gydF4y2Basvg height="11.0125" id="M74" style="vertical-align:-3.20526pt;width:81.925003px;" version="1.1" viewbox="0 0 81.925003 11.0125" width="81.925003" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0125)"> <g transform="translate(72,-63.19)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.2,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.11,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-43.24,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-11.36,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="11.375" id="M75" style="vertical-align:-3.49493pt;width:27.75px;" version="1.1" viewbox="0 0 27.75 11.375" width="27.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.375)"> <g transform="translate(72,-62.9)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="12.825" id="M76" style="vertical-align:-3.49493pt;width:167.5625px;" version="1.1" viewbox="0 0 167.5625 12.825" width="167.5625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.825)"> <g transform="translate(72,-61.74)"> <text transform="matrix(1,0,0,-1,-71.95,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.73,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-37.81,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-29.46,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.082218" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.122608" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,19.55,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,27.87,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,46.78,62.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>。让我们证明的最大数量<我>定期对</我>是<gydF4y2Basvg height="10.8125" id="M77" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>。为此,考虑以下可能的变体。<gydF4y2Babr><span class="list"><span class="list-item"><span class="list-label">(一)</gydF4y2Baspan><span class="list-content">这对夫妇<gydF4y2Basvg height="11.0125" id="M78" style="vertical-align:-3.20526pt;width:35.974998px;" version="1.1" viewbox="0 0 35.974998 11.0125" width="35.974998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0125)"> <g transform="translate(72,-63.19)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.2,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.11,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>是<我>一双普通的</我>。如果<gydF4y2Basvg height="14.6875" id="M79" style="vertical-align:-3.20526pt;width:92.612503px;" version="1.1" viewbox="0 0 92.612503 14.6875" width="92.612503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6875)"> <g transform="translate(72,-60.25)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.12,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="15.05" id="M80" style="vertical-align:-3.49493pt;width:105.55px;" version="1.1" viewbox="0 0 105.55 15.05" width="105.55" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.05)"> <g transform="translate(72,-59.96)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-36.51,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,3.38,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,8.23,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>那么,旁边<我>定期对</我>在这一期间<gydF4y2Basvg height="14.4625" id="M81" style="vertical-align:-3.20526pt;width:46.387501px;" version="1.1" viewbox="0 0 46.387501 14.4625" width="46.387501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4625)"> <g transform="translate(72,-60.43)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.91,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.04,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-43.95,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-39.1,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>,只有一个新<我>定期对</我>可以出现,即<gydF4y2Basvg height="11.375" id="M82" style="vertical-align:-3.49493pt;width:48.950001px;" version="1.1" viewbox="0 0 48.950001 11.375" width="48.950001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.375)"> <g transform="translate(72,-62.9)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.2,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.11,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>。的最大数量<我>定期对</我>可以由点<gydF4y2Basvg height="11.375" id="M83" style="vertical-align:-3.49493pt;width:116.0625px;" version="1.1" viewbox="0 0 116.0625 11.375" width="116.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.375)"> <g transform="translate(72,-62.9)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.2,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.11,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-43.24,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-11.36,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.51,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,5.58,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>,不大于<gydF4y2Basvg height="13.45" id="M84" style="vertical-align:-2.21957pt;width:121.85px;" version="1.1" viewbox="0 0 121.85 13.45" width="121.85" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.684044" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.024261" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.751598" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.791985" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="79.781647" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="91.121864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>。如果<gydF4y2Basvg height="14.6875" id="M85" style="vertical-align:-3.20526pt;width:92.612503px;" version="1.1" viewbox="0 0 92.612503 14.6875" width="92.612503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6875)"> <g transform="translate(72,-60.25)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.12,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>或<gydF4y2Basvg height="15.05" id="M86" style="vertical-align:-3.49493pt;width:105.55px;" version="1.1" viewbox="0 0 105.55 15.05" width="105.55" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.05)"> <g transform="translate(72,-59.96)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-36.51,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,3.38,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,8.23,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,那么额外的<我>定期对</我>没有出现。在一个特定的情况下<gydF4y2Basvg height="15.05" id="M87" style="vertical-align:-3.49493pt;width:253.925px;" version="1.1" viewbox="0 0 253.925 15.05" width="253.925" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.05)"> <g transform="translate(72,-59.96)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.09,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> ⋯</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.796329" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.83672" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.01392" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.177418" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,66.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,71.82,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,111.71,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,126.93,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="14.6875" id="M88" style="vertical-align:-3.20526pt;width:92.612503px;" version="1.1" viewbox="0 0 92.612503 14.6875" width="92.612503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6875)"> <g transform="translate(72,-60.25)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.86,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.12,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>以下<我>定期对</我>存在,也就是说,<gydF4y2Basvg height="10.925" id="M89" style="vertical-align:-3.13504pt;width:14.8125px;" version="1.1" viewbox="0 0 14.8125 10.925" width="14.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.925)"> <g transform="translate(72,-63.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="11.075" id="M90" style="vertical-align:-3.25793pt;width:14.8125px;" version="1.1" viewbox="0 0 14.8125 11.075" width="14.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.075)"> <g transform="translate(72,-63.14)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="10.925" id="M91" style="vertical-align:-3.13504pt;width:14.8125px;" version="1.1" viewbox="0 0 14.8125 10.925" width="14.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.925)"> <g transform="translate(72,-63.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="10.925" id="M92" style="vertical-align:-3.13504pt;width:14.8125px;" version="1.1" viewbox="0 0 14.8125 10.925" width="14.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.925)"> <g transform="translate(72,-63.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 4</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="1.8625" id="M93" style="vertical-align:-0.13794pt;width:18.362499px;" version="1.1" viewbox="0 0 18.362499 1.8625" width="18.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,1.8625)"> <g transform="translate(72,-70.51)"> <text transform="matrix(1,0,0,-1,-71.95,70.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> …</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="10.925" id="M94" style="vertical-align:-3.13504pt;width:14.8125px;" version="1.1" viewbox="0 0 14.8125 10.925" width="14.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.925)"> <g transform="translate(72,-63.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="11.0125" id="M95" style="vertical-align:-3.20526pt;width:14.775px;" version="1.1" viewbox="0 0 14.775 11.0125" width="14.775" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0125)"> <g transform="translate(72,-63.19)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,新的一对<gydF4y2Basvg height="10.925" id="M96" style="vertical-align:-3.13504pt;width:14.8125px;" version="1.1" viewbox="0 0 14.8125 10.925" width="14.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.925)"> <g transform="translate(72,-63.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="11.375" id="M97" style="vertical-align:-3.49493pt;width:27.75px;" version="1.1" viewbox="0 0 27.75 11.375" width="27.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.375)"> <g transform="translate(72,-62.9)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>出现,完全<gydF4y2Basvg height="10.8125" id="M98" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>对。</gydF4y2Baspan></span><span class="list-item"><span class="list-label">(b)</gydF4y2Baspan><span class="list-content">假设<gydF4y2Basvg height="11.0125" id="M99" style="vertical-align:-3.20526pt;width:35.974998px;" version="1.1" viewbox="0 0 35.974998 11.0125" width="35.974998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0125)"> <g transform="translate(72,-63.19)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.2,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.11,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>不是<我>一双普通的</我>。让<gydF4y2Basvg height="11.05" id="M100" style="vertical-align:-3.2316pt;width:12.75px;" version="1.1" viewbox="0 0 12.75 11.05" width="12.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="12.975" id="M101" style="vertical-align:-4.77652pt;width:14.25px;" version="1.1" viewbox="0 0 14.25 12.975" width="14.25" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.975)"> <g transform="translate(72,-61.62)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>是一个<我>定期对</我>,<ggydF4y2BaydF4y2Basvg height="13.6125" id="M102" style="vertical-align:-2.34499pt;width:84.8125px;" version="1.1" viewbox="0 0 84.8125 13.6125" width="84.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.7148314" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.119488" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.159878" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.486874" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.527264" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,没有其他<我>定期对</我><svg height="12.925" id="M103" style="vertical-align:-4.74141pt;width:35.875px;" version="1.1" viewbox="0 0 35.875 12.925" width="35.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.925)"> <g transform="translate(72,-61.66)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.3,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.21,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>这样<gydF4y2Basvg height="13.6125" id="M104" style="vertical-align:-2.34499pt;width:138.3875px;" version="1.1" viewbox="0 0 138.3875 13.6125" width="138.3875" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.7148314" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.34502" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.38541" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.737175" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.777561" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.117065" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.157455" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="92.34716" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="104.38755" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。让我们提到,如果这样的一对<gydF4y2Basvg height="12.975" id="M105" style="vertical-align:-4.77652pt;width:33.387501px;" version="1.1" viewbox="0 0 33.387501 12.975" width="33.387501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.975)"> <g transform="translate(72,-61.62)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-61.85,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-49.77,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>不存在,那么该函数<gydF4y2Basvg height="13.45" id="M106" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>没有<我>定期对</我>和序列<gydF4y2Basvg height="14.775" id="M107" style="vertical-align:-3.2316pt;width:52.162498px;" version="1.1" viewbox="0 0 52.162498 14.775" width="52.162498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.775)"> <g transform="translate(72,-60.18)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.178642" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.34214" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-45.73,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-40.49,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> }</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="12.8875" id="M108" style="vertical-align:-1.76814pt;width:73.662498px;" version="1.1" viewbox="0 0 73.662498 12.8875" width="73.662498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.8875)"> <g transform="translate(72,-61.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.239957" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.280346" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.531845" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.745598" y="0"> ⋯</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.398872" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.612625" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>单调。然后,如果<gydF4y2Basvg height="15.05" id="M109" style="vertical-align:-3.49493pt;width:49.625px;" version="1.1" viewbox="0 0 49.625 15.05" width="49.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.05)"> <g transform="translate(72,-59.96)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-36.51,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>大于任何其他最大,到底是什么<gydF4y2Basvg height="13.45" id="M110" style="vertical-align:-2.21957pt;width:121.85px;" version="1.1" viewbox="0 0 121.85 13.45" width="121.85" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.684044" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.024261" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.751598" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.791985" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="79.781647" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="91.121864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg><i>定期对</我>。</gydF4y2Baspan></span></span><br>否则,我们有两个可能性:<gydF4y2Babr><span class="list"><span class="list-item"><span class="list-label"></span><span class="list-content">要么<gydF4y2Basvg height="16.6" id="M111" style="vertical-align:-4.74141pt;width:90.462502px;" version="1.1" viewbox="0 0 90.462502 16.6" width="90.462502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6)"> <g transform="translate(72,-58.72)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.51,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-8.62,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-3.84,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="13.55" id="M112" style="vertical-align:-2.29482pt;width:101.7625px;" version="1.1" viewbox="0 0 101.7625 13.55" width="101.7625" 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,-67.78,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5772982" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.869186" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.082939" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.661434" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.875187" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.539288" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.879509" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>,</gydF4y2Baspan></span><span class="list-item"><span class="list-label"></span><span class="list-content">或<gydF4y2Basvg height="16.637501" id="M113" style="vertical-align:-4.77652pt;width:92.074997px;" version="1.1" viewbox="0 0 92.074997 16.637501" width="92.074997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-51.73,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-47.3,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.007919" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-7.41,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.56,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="13.6125" id="M114" style="vertical-align:-2.34499pt;width:102.45px;" version="1.1" viewbox="0 0 102.45 13.6125" width="102.45" 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,-67.78,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1897049" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.230095" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.869427" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.209648" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.461147" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.6749" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.2659" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.467148" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></span></span><br>在第一种情况下,间隔<gydF4y2Basvg height="14.5" id="M115" style="vertical-align:-3.2316pt;width:44.349998px;" version="1.1" viewbox="0 0 44.349998 14.5" width="44.349998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5)"> <g transform="translate(72,-60.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.91,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.04,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-43.95,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-40.73,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>包含<gydF4y2Basvg height="9.9250002" id="M116" style="vertical-align:-0.13794pt;width:4.9875002px;" version="1.1" viewbox="0 0 4.9875002 9.9250002" width="4.9875002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.925)"> <g transform="translate(72,-64.06)"> <text transform="matrix(1,0,0,-1,-71.95,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>最大的点<gydF4y2Basvg height="13.45" id="M117" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="10.125" id="M118" style="vertical-align:-0.30096pt;width:32.137501px;" version="1.1" viewbox="0 0 32.137501 10.125" width="32.137501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.125)"> <g transform="translate(72,-63.9)"> <text transform="matrix(1,0,0,-1,-71.95,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.3517642" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.392153" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>的数量,因此<我>定期对</我>在这个时间间隔不超过<gydF4y2Basvg height="10.8625" id="M119" style="vertical-align:-0.13794pt;width:30.450001px;" version="1.1" viewbox="0 0 30.450001 10.8625" width="30.450001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8625)"> <g transform="translate(72,-63.31)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.6640992" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.00432" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。没有<我>定期对</我><svg height="12.925" id="M120" style="vertical-align:-4.74141pt;width:36.349998px;" version="1.1" viewbox="0 0 36.349998 12.925" width="36.349998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.925)"> <g transform="translate(72,-61.66)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.3,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.21,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>为<gydF4y2Basvg height="13.55" id="M121" style="vertical-align:-2.29482pt;width:59.224998px;" version="1.1" viewbox="0 0 59.224998 13.55" width="59.224998" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.7148314" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.34502" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.38541" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="12.3" id="M122" style="vertical-align:-1.29163pt;width:85.462502px;" version="1.1" viewbox="0 0 85.462502 12.3" width="85.462502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.3)"> <g transform="translate(72,-62.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.3517642" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.392153" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.644613" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.685001" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.67466" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.014881" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>。的时间间隔<gydF4y2Basvg height="14.825" id="M123" style="vertical-align:-3.49493pt;width:57.287498px;" version="1.1" viewbox="0 0 57.287498 14.825" width="57.287498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.825)"> <g transform="translate(72,-60.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.91,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.69,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-45.6,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-30.38,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>包含<gydF4y2Basvg height="13.45" id="M124" style="vertical-align:-2.21957pt;width:102.15px;" version="1.1" viewbox="0 0 102.15 13.45" width="102.15" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.684044" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.024261" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.187763" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.864365" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.204582" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.456085" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>最大的点<gydF4y2Basvg height="13.45" id="M125" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>的数量,因此<我>定期对</我>在这个时间间隔不超过<gydF4y2Basvg height="13.45" id="M126" style="vertical-align:-2.21957pt;width:177.28751px;" version="1.1" viewbox="0 0 177.28751 13.45" width="177.28751" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.684044" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.024261" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.187763" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.864365" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.204582" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.456085" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="84.395248" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.735474" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="105.46281" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="117.5032" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="126.49285" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="137.83307" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。完全,没有更多<我>定期对</我>比<gydF4y2Basvg height="13.45" id="M127" style="vertical-align:-2.21957pt;width:151.825px;" version="1.1" viewbox="0 0 151.825 13.45" width="151.825" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.827598" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.167818" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.419319" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.358482" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.698704" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.862206" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.864365" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.204582" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.093018" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="82.732353" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="94.760239" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="103.7624" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="115.10262" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。<gydF4y2Babr>在第二种情况下,的数量<我>定期对</我>在<gydF4y2Basvg height="16.424999" id="M128" style="vertical-align:-4.77652pt;width:43.799999px;" version="1.1" viewbox="0 0 43.799999 16.424999" width="43.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.425)"> <g transform="translate(72,-58.86)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.91,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.69,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-45.6,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-41.18,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>不超过<gydF4y2Basvg height="13.6125" id="M129" style="vertical-align:-2.34499pt;width:163.5px;" version="1.1" viewbox="0 0 163.5 13.6125" width="163.5" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6393328" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.979553" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.143053" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.807152" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.147373" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.398872" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.35054" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="65.690765" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.418098" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="87.445984" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.097816" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="106.43804" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="113.10213" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="124.44236" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>。在<gydF4y2Basvg height="16.424999" id="M130" style="vertical-align:-4.77652pt;width:58.799999px;" version="1.1" viewbox="0 0 58.799999 16.424999" width="58.799999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.425)"> <g transform="translate(72,-58.86)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.91,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.48,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-44.4,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-29.18,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>,有不超过<gydF4y2Basvg height="13.6125" id="M131" style="vertical-align:-2.34499pt;width:180.66251px;" version="1.1" viewbox="0 0 180.66251 13.6125" width="180.66251" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.684044" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.024261" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.187763" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.8396" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="72.179817" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.43132" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="85.370483" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="96.710709" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="106.43804" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="118.47843" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="127.46809" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="138.8083" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg><i>定期对</我>。的点<gydF4y2Basvg height="12.925" id="M132" style="vertical-align:-4.74141pt;width:14.6875px;" version="1.1" viewbox="0 0 14.6875 12.925" width="14.6875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.925)"> <g transform="translate(72,-61.66)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="13.55" id="M133" style="vertical-align:-2.29482pt;width:96.550003px;" version="1.1" viewbox="0 0 96.550003 13.55" width="96.550003" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5772982" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.869186" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.082939" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.661434" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.875187" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.539288" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.879509" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="12.925" id="M134" style="vertical-align:-4.74141pt;width:14.7875px;" version="1.1" viewbox="0 0 14.7875 12.925" width="14.7875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.925)"> <g transform="translate(72,-61.66)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="12.675" id="M135" style="vertical-align:-2.34499pt;width:65.112503px;" version="1.1" viewbox="0 0 65.112503 12.675" width="65.112503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.675)"> <g transform="translate(72,-61.86)"> <text transform="matrix(1,0,0,-1,-67.78,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.367388" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.569595" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.597481" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>并不会形成<我>定期对</我>的选择<gydF4y2Basvg height="12.925" id="M136" style="vertical-align:-4.74141pt;width:14.6875px;" version="1.1" viewbox="0 0 14.6875 12.925" width="14.6875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.925)"> <g transform="translate(72,-61.66)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="12.925" id="M137" style="vertical-align:-4.74141pt;width:14.7875px;" version="1.1" viewbox="0 0 14.7875 12.925" width="14.7875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.925)"> <g transform="translate(72,-61.66)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。的点<gydF4y2Basvg height="12.925" id="M138" style="vertical-align:-4.74141pt;width:14.6875px;" version="1.1" viewbox="0 0 14.6875 12.925" width="14.6875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.925)"> <g transform="translate(72,-61.66)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="13.55" id="M139" style="vertical-align:-2.29482pt;width:71.087502px;" version="1.1" viewbox="0 0 71.087502 13.55" width="71.087502" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5772982" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.869186" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.082939" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.661434" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.875187" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,加上<gydF4y2Basvg height="11.375" id="M140" style="vertical-align:-3.49493pt;width:27.75px;" version="1.1" viewbox="0 0 27.75 11.375" width="27.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.375)"> <g transform="translate(72,-62.9)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>(它是<gydF4y2Basvg height="11.325" id="M141" style="vertical-align:-0.51414pt;width:30.450001px;" version="1.1" viewbox="0 0 30.450001 11.325" width="30.450001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.325)"> <g transform="translate(72,-62.94)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.6640992" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.00432" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>th点的集合点)不超过形式<gydF4y2Basvg height="13.45" id="M142" style="vertical-align:-2.21957pt;width:116.0375px;" version="1.1" viewbox="0 0 116.0375 13.45" width="116.0375" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.827598" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.167818" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.419319" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.358482" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.698704" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.426041" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="68.466431" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.130524" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.470749" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg><i>定期对。</我>完全的数量<我>定期对</我>不大于<gydF4y2Basvg height="13.6125" id="M143" style="vertical-align:-2.34499pt;width:235.16251px;" version="1.1" viewbox="0 0 235.16251 13.6125" width="235.16251" 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"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.143053" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.807152" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.147373" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.398872" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.35054" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="65.690765" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.854263" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.843918" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="90.184135" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.047806" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="101.99947" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="113.3397" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="117.5032" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="124.16729" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="135.50751" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="141.75902" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="149.39835" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="161.43874" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="170.42839" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="181.76862" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></p> <h4 id="existence-of-polynomials-with-optimal-distribution">4所示。的存在与最优多项式分布</gydF4y2Bah4> <p><span class="statement" id="thm4.1"><span class="statement-title">定理4.1。</gydF4y2Baspan><i>给定的数字<gydF4y2Basvg height="7.1374998" id="M144" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,一个多项式<gydF4y2Basvg height="13.6125" id="M145" style="vertical-align:-2.34499pt;width:26.8125px;" version="1.1" viewbox="0 0 26.8125 13.6125" width="26.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.1514759" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.314975" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.191626" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>可以建造这样的吗</我><span class="list"><span class="list-item"><span class="list-label">(一)</gydF4y2Baspan><span class="list-content"><i>条件(一)满意,</我></span></span><span class="list-item"><span class="list-label">(b)</gydF4y2Baspan><span class="list-content"><i>原始的函数<gydF4y2Basvg height="13.45" id="M146" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>正好有<gydF4y2Basvg height="7.1374998" id="M147" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>点的最大和定期对完全的数量<gydF4y2Basvg height="10.8125" id="M148" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。</我></span></span></span><i></i></span></p> <p><span class="statement" id="prooff1"><span class="statement-title"><i class="statement-title">证明。</我></span>考虑多项式<gydF4y2Baspan class="equation" id="EEq8"> <svg height="30.887501" id="M149" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 30.887501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,30.8875)"> <g transform="translate(72,-47.29)"> <text transform="matrix(1,0,0,-1,-6.39,56.1)"> <tspan style="font-size: 12.50px; " x="52.880001" y="4.9200001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="82.43" y="-7.25"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.50276" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.666259" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.54291" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.182241" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.22263" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.240002" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.892319" y="0"> +</gydF4y2Batspan> </text> <g> <path d="m 76.04,59.22 6.26,0" 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,-1,76.04,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.700001" y="-16.01"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.152317" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 122.74,59.22 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,-1,122.74,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.117323" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.49" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.142315" y="-8.7600002"> +</gydF4y2Batspan> </text> <g> <path d="m 169.43,59.22 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,-1,169.43,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.117323" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.49" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.142315" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 216.12,59.22 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,-1,216.12,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.129826" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.49" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.142315" y="-8.7600002"> +</gydF4y2Batspan> </text> <g> <path d="m 262.81,59.22 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,-1,262.81,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.139812" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 309.5,59.22 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,-1,309.5,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.139812" y="-8.7600002"> +</gydF4y2Batspan> </text> <g> <path d="m 356.19,59.22 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,-1,356.19,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.139812" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 402.88,59.22 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,-1,402.88,47.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.129999" y="-8.7600002"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.869999" y="-9.1800003"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.033501" y="-9.1800003"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="72.284996" y="-9.1800003"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.410751" y="-9.1800003"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="81.662247" y="-9.1800003"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>这是一个与图中所示图偶函数<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/393875/fig3/" target="_blank">3</gydF4y2Baa>。<gydF4y2Babr>考虑现在的多项式<gydF4y2Baspan class="equation" id="EEq9"> <svg height="31.012501" id="M150" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 31.012501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,31.0125)"> <g transform="translate(72,-47.19)"> <text transform="matrix(1,0,0,-1,-18.72,56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-9.54,52.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.72,56)"> <tspan style="font-size: 12.50px; " x="41.360001" y="4.9200001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.919998" y="-7.25"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.666979" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.707369" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.73" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.369812" y="0"> +</gydF4y2Batspan> </text> <g> <path d="m 68.2,59.12 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,-1,68.2,47.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.860001" y="-16.01"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.23" y="-8.7600002"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.557718" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.620001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.297321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.669998" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.322315" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 135.06,59.12 6.26,0" 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,-1,135.06,47.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.152317" y="-8.7600002"> +</gydF4y2Batspan> </text> <g> <path d="m 181.75,59.12 6.26,0" 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,-1,181.75,47.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.700001" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.152317" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 228.45,59.12 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,-1,228.45,47.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.117323" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.49" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.142315" y="-8.7600002"> +</gydF4y2Batspan> </text> <g> <path d="m 275.14,59.12 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,-1,275.14,47.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.117323" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.49" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.142315" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 321.83,59.12 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,-1,321.83,47.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.120001" y="-4.2600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.68" y="-16.43"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.48" y="-9.1800003"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.132317" y="-9.1800003"> +</gydF4y2Batspan> </text> <g> <path d="m 371.51,59.55 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,-1,371.51,47.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8299999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.129826" y="-3.8299999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.49" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.142315" y="-8.75"> −</gydF4y2Batspan> </text> <g> <path d="m 418.2,59.55 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,-1,418.2,47.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8299999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.129999" y="-8.75"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.549999" y="-8.8000002"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.713497" y="-8.8000002"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.965" y="-8.8000002"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.090748" y="-8.8000002"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.342247" y="-8.8000002"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>在哪里<gydF4y2Basvg height="11.0625" id="M151" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5147829" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.555172" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>是足够小。的图像<gydF4y2Basvg height="14.7125" id="M152" style="vertical-align:-3.2316pt;width:36.512501px;" version="1.1" viewbox="0 0 36.512501 14.7125" width="36.512501" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.04,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>与<gydF4y2Basvg height="10.9125" id="M153" style="vertical-align:-0.17555pt;width:46.612499px;" version="1.1" viewbox="0 0 46.612499 10.9125" width="46.612499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5147829" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.555172" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.806671" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.932423" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>描绘在图<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/393875/fig4/" target="_blank">4</gydF4y2Baa>。<gydF4y2Babr>表示的最大价值<gydF4y2Basvg height="13.45" id="M154" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="14.7125" id="M155" style="vertical-align:-3.2316pt;width:36.512501px;" version="1.1" viewbox="0 0 36.512501 14.7125" width="36.512501" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.04,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>的右边<gydF4y2Basvg height="10.9125" id="M156" style="vertical-align:-0.17555pt;width:35.924999px;" version="1.1" viewbox="0 0 35.924999 10.9125" width="35.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg> <svg height="18.075001" id="M157" style="vertical-align:-4.58821pt;width:45.0625px;" version="1.1" viewbox="0 0 45.0625 18.075001" width="45.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.075)"> <g transform="translate(72,-57.54)"> <text transform="matrix(1,0,0,-1,-71.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.58,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-42.49,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。表示的最大价值<gydF4y2Basvg height="13.45" id="M158" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="14.7125" id="M159" style="vertical-align:-3.2316pt;width:36.512501px;" version="1.1" viewbox="0 0 36.512501 14.7125" width="36.512501" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.04,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>左边的<gydF4y2Basvg height="15.9625" id="M160" style="vertical-align:-4.22832pt;width:88.675003px;" version="1.1" viewbox="0 0 88.675003 15.9625" width="88.675003" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.9625)"> <g transform="translate(72,-59.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.883369" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-28.18,68.5)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-21.69,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-7.6,68.5)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。一个有<gydF4y2Basvg height="13.45" id="M161" style="vertical-align:-2.21957pt;width:30.6px;" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>那<gydF4y2Basvg height="18.075001" id="M162" style="vertical-align:-4.58821pt;width:135.1375px;" version="1.1" viewbox="0 0 135.1375 18.075001" width="135.1375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.075)"> <g transform="translate(72,-57.54)"> <text transform="matrix(1,0,0,-1,-71.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-53.11,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-32.19,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-22.23,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-1.31,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,8.66,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,29.57,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。一个有<gydF4y2Basvg height="14.7125" id="M163" style="vertical-align:-3.2316pt;width:36.512501px;" version="1.1" viewbox="0 0 36.512501 14.7125" width="36.512501" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.04,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>那<gydF4y2Basvg height="18.075001" id="M164" style="vertical-align:-4.58821pt;width:135.1375px;" version="1.1" viewbox="0 0 135.1375 18.075001" width="135.1375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.075)"> <g transform="translate(72,-57.54)"> <text transform="matrix(1,0,0,-1,-71.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-53.11,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-32.19,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-22.23,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-1.31,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,8.66,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,29.57,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。然后,有两个常规双(职责。<gydF4y2Basvg height="14.775" id="M165" style="vertical-align:-4.22832pt;width:19.3375px;" version="1.1" viewbox="0 0 19.3375 14.775" width="19.3375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.775)"> <g transform="translate(72,-60.18)"> <text transform="matrix(1,0,0,-1,-71.95,64.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,69.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 1</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="18.075001" id="M166" style="vertical-align:-4.58821pt;width:19.3375px;" version="1.1" viewbox="0 0 19.3375 18.075001" width="19.3375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.075)"> <g transform="translate(72,-57.54)"> <text transform="matrix(1,0,0,-1,-71.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 2</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="18.075001" id="M167" style="vertical-align:-4.58821pt;width:19.3375px;" version="1.1" viewbox="0 0 19.3375 18.075001" width="19.3375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.075)"> <g transform="translate(72,-57.54)"> <text transform="matrix(1,0,0,-1,-71.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 2</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="14.775" id="M168" style="vertical-align:-4.22832pt;width:19.3375px;" version="1.1" viewbox="0 0 19.3375 14.775" width="19.3375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.775)"> <g transform="translate(72,-60.18)"> <text transform="matrix(1,0,0,-1,-71.95,64.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,69.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 2</gydF4y2Batspan> </text> </g> </g> </svg>)。<gydF4y2Babr>任意甚至<gydF4y2Basvg height="7.1374998" id="M169" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>的多项式<gydF4y2Baspan class="equation" id="EEq10"> <svg height="30.700001" id="M170" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 30.700001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,30.7)"> <g transform="translate(72,-47.44)"> <text transform="matrix(1,0,0,-1,3.6,56.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,12.78,53.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,19.6,56.25)"> <tspan style="font-size: 12.50px; " x="41.360001" y="4.9200001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.919998" y="-7.25"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.666979" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.707369" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.720001" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.372314" y="0"> +</gydF4y2Batspan> </text> <g> <path d="m 90.52,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,90.52,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4400001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.129826" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.49" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.142315" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 137.21,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,137.21,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.139812" y="-8.7600002"> +</gydF4y2Batspan> </text> <g> <path d="m 183.9,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,183.9,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.139812" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 230.59,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,230.59,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.129999" y="-8.7600002"> ⋯</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.880001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.240002" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.892315" y="-8.7600002"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.439999" y="-16.01"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="68.691498" y="-16.01"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.668655" y="-16.01"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="89.021378" y="-16.01"> 1</gydF4y2Batspan> </text> <g> <path d="m 293.03,59.37 32.84,0" 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,-1,306.32,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.74" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.417322" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.790001" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.442314" y="-8.7600002"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.98" y="-16.01"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.231499" y="-16.01"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.221153" y="-16.01"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.561378" y="-16.01"> 1</gydF4y2Batspan> </text> <g> <path d="m 366.3,59.37 32.84,0" 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,-1,379.6,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.74" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.42" y="-8.7600002"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="85.150002" y="-9.1099997"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="89.313499" y="-9.1099997"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.565002" y="-9.1099997"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="98.69075" y="-9.1099997"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="104.94225" y="-9.1099997"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>是被认为是最大的价值在哪里<gydF4y2Basvg height="18.237499" id="M171" style="vertical-align:-4.7111pt;width:101.9875px;" version="1.1" viewbox="0 0 101.9875 18.237499" width="101.9875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.2375)"> <g transform="translate(72,-57.41)"> <text transform="matrix(1,0,0,-1,-71.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.58,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-42.49,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-36,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.12,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="9.5699997"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.7828002" y="9.5699997"> 2</gydF4y2Batspan> </text> </g> </g> </svg>的右边<gydF4y2Basvg height="10.9125" id="M172" style="vertical-align:-0.17555pt;width:35.924999px;" version="1.1" viewbox="0 0 35.924999 10.9125" width="35.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>分别形成升序序列,和最大的价值<gydF4y2Basvg height="14.925" id="M173" style="vertical-align:-4.35121pt;width:101.9875px;" version="1.1" viewbox="0 0 101.9875 14.925" width="101.9875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.925)"> <g transform="translate(72,-60.06)"> <text transform="matrix(1,0,0,-1,-71.95,64.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,69.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.58,64.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-42.49,69.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-36,64.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.12,69.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="9.2200003"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.7828002" y="9.2200003"> 2</gydF4y2Batspan> </text> </g> </g> </svg>左边的<gydF4y2Basvg height="10.9125" id="M174" style="vertical-align:-0.17555pt;width:35.924999px;" version="1.1" viewbox="0 0 35.924999 10.9125" width="35.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>也形成升序序列。一个有<gydF4y2Basvg height="17.5375" id="M175" style="vertical-align:-4.1581pt;width:57.9375px;" version="1.1" viewbox="0 0 57.9375 17.5375" width="57.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.5375)"> <g transform="translate(72,-57.97)"> <text transform="matrix(1,0,0,-1,-71.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.07,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.0500002"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-53.11,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-32.19,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="8.6899996"> </gydF4y2Batspan> </text> </g> </g> </svg>对所有<gydF4y2Basvg height="9.9250002" id="M176" style="vertical-align:-0.13794pt;width:4.9875002px;" version="1.1" viewbox="0 0 4.9875002 9.9250002" width="4.9875002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.925)"> <g transform="translate(72,-64.06)"> <text transform="matrix(1,0,0,-1,-71.95,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。稍微改良多项式<gydF4y2Baspan class="equation" id="EEq11"> <svg height="30.700001" id="M177" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 30.700001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,30.7)"> <g transform="translate(72,-47.44)"> <text transform="matrix(1,0,0,-1,-6.95,56.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,2.23,53.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,9.05,56.25)"> <tspan style="font-size: 12.50px; " x="41.360001" y="4.9200001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.919998" y="-7.25"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.666979" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.707369" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.720001" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.372314" y="0"> +</gydF4y2Batspan> </text> <g> <path d="m 79.97,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,79.97,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.860001" y="-16.01"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.22" y="-8.7600002"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.560221" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.620001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.297321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.669998" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.322315" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 146.83,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,146.83,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.152317" y="-8.7600002"> +</gydF4y2Batspan> </text> <g> <path d="m 193.52,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,193.52,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.689999" y="-16.01"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.127321" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.5" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.152317" y="-8.7600002"> −</gydF4y2Batspan> </text> <g> <path d="m 240.21,59.37 6.26,0" 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,-1,240.21,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.4499998" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.139999" y="-8.7600002"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.810001" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.169998" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.822315" y="-8.7600002"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.369999" y="-16.01"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.621498" y="-16.01"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.598656" y="-16.01"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="89.951378" y="-16.01"> 1</gydF4y2Batspan> </text> <g> <path d="m 303.58,59.37 32.83,0" 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,-1,316.87,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.74" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.417322" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.790001" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.442314" y="-8.7600002"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.98" y="-16.01"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.231499" y="-16.01"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.221153" y="-16.01"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.561378" y="-16.01"> 1</gydF4y2Batspan> </text> <g> <path d="m 376.85,59.37 32.84,0" 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,-1,390.15,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.74" y="-3.8399999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.42" y="-8.7600002"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="74.599998" y="-9.1099997"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.763496" y="-9.1099997"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="85.014999" y="-9.1099997"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="88.140747" y="-9.1099997"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="94.39225" y="-9.1099997"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>最大的值排列<gydF4y2Baspan class="equation" id="eq2"> <svg height="18.237499" id="M178" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 18.237499" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.2375)"> <g transform="translate(72,-57.41)"> <text transform="matrix(1,0,0,-1,102.17,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,111.05,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,121.02,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,141.93,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,151.9,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,172.81,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,182.78,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,203.7,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,213.66,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> ⋯</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.169498" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.209888" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,263.75,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.5699997"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="9.5699997"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.7828002" y="9.5699997"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,278.88,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,299.79,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.21"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3497438" y="9.21"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.7828002" y="9.21"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,311.45,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="153.3" y="0.57999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="157.4635" y="0.57999998"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="163.715" y="0.57999998"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="166.84074" y="0.57999998"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="173.09225" y="0.57999998"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>因此,精确地存在<gydF4y2Basvg height="10.8125" id="M179" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg><i>定期对</我>,因此,<gydF4y2Basvg height="10.8125" id="M180" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>在微分方程非平凡周期轮(<gydF4y2Baa href="#EEq1">1。1</gydF4y2Baa>)。<gydF4y2Babr>如果<gydF4y2Basvg height="7.1374998" id="M181" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>多项式是奇数,那么<gydF4y2Baspan class="equation" id="EEq12"> <svg height="18.4625" id="M182" 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,-1,27.59,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.50276" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.666259" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.54291" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.182241" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.22263" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.787186" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,85.25,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,92.21,61.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.815815" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.156036" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.407536" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.659035" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.822536" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.47485" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.815071" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.066574" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.318069" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="79.481567" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="89.133888" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="100.47411" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="106.72561" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="112.9771" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="117.14061" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="126.79292" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="138.13315" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="144.38464" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="150.63614" y="0"> ⋯</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="166.37743" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="170.54092" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="180.20573" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="191.54596" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="195.70946" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="204.69911" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="216.03934" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="222.29083" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="226.45433" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="232.70584" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="236.86934" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="246.52165" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="257.87439" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="262.03787" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="271.02753" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="282.36774" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="288.61926" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="292.78275" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="372.54001" y="-0.44999999"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="376.70349" y="-0.44999999"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="382.95499" y="-0.44999999"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="386.08075" y="-0.44999999"> 6</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="392.33224" y="-0.44999999"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>与<gydF4y2Basvg height="7.1374998" id="M183" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>局部极大值是被考虑。maxima是递减的<gydF4y2Basvg height="11.0625" id="M184" style="vertical-align:-0.30096pt;width:35.924999px;" version="1.1" viewbox="0 0 35.924999 11.0625" width="35.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0625)"> <g transform="translate(72,-63.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>和提升<gydF4y2Basvg height="11.0625" id="M185" style="vertical-align:-0.30096pt;width:35.924999px;" version="1.1" viewbox="0 0 35.924999 11.0625" width="35.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0625)"> <g transform="translate(72,-63.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.339981" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.380369" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>。三个局部极大值的多项式是描绘在图<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/393875/fig5/" target="_blank">5</gydF4y2Baa>。<gydF4y2Babr>稍微修改多项式<gydF4y2Baspan class="equation" id="EEq13"> <svg height="18.4625" id="M186" 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,-1,17.5,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.50276" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.666259" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.54291" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.182241" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.22263" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.787186" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,75.17,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,82.13,61.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.803312" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.156036" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.183201" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.523422" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.574875" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.826374" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.989876" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.642189" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="82.982414" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="89.23391" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.485413" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="99.648911" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="109.30122" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="120.64145" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="126.89294" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="133.14444" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="137.30795" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="146.96027" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="158.30048" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="164.55199" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="170.80348" y="0"> ⋯</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="186.54475" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="190.70825" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="200.37308" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="211.7133" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="215.8768" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="224.86646" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="236.20668" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="242.45818" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="246.62167" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="252.87317" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="257.03668" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="266.689" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="278.02921" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="282.19272" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="291.19489" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="302.5351" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="308.78659" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="312.9501" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="382.62" y="-0.44999999"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="386.78351" y="-0.44999999"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="393.035" y="-0.44999999"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="396.16074" y="-0.44999999"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="402.41226" y="-0.44999999"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>有极大值不相等,被安排在一个最佳方式以产生最大(<gydF4y2Basvg height="10.8125" id="M187" style="vertical-align:-0.10033pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 10.8125" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>)<我>定期对</我>。<gydF4y2Babr>的图像<gydF4y2Basvg height="14.7125" id="M188" style="vertical-align:-3.2316pt;width:36.512501px;" version="1.1" viewbox="0 0 36.512501 14.7125" width="36.512501" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.04,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>与<gydF4y2Basvg height="10.9125" id="M189" style="vertical-align:-0.17555pt;width:46.612499px;" version="1.1" viewbox="0 0 46.612499 10.9125" width="46.612499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5147829" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.555172" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.806671" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.932423" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>描绘在图<gydF4y2Baa href="//www.newsama.com/journals/aaa/2011/393875/fig6/" target="_blank">6</gydF4y2Baa>。</gydF4y2Baspan></p> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-ced3bc8d67bfa22c40693ae0ac9ebe79"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/figures/393875.fig.003.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-ced3bc8d67bfa22c40693ae0ac9ebe79 partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/thumbnails/393875.fig.003_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-ced3bc8d67bfa22c40693ae0ac9ebe79 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图3</gydF4y2Baspan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/aaa/2011/393875/fig3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td> <svg height="13.45" id="M190" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(固体)和<gydF4y2Basvg height="13.6375" id="M191" style="vertical-align:-2.34499pt" version="1.1" viewbox="0 0 81.199997 13.6375" width="81.199997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.790569" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.954067" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.830717" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.457548" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.497936" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.649414" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.812912" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.689564" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(虚线)。</gydF4y2Batd> </tr> </tbody> </table> </div> </div> </div> </div> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-36fe9465eefcf9effa1c2ecbd9ed166f"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/figures/393875.fig.004.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-36fe9465eefcf9effa1c2ecbd9ed166f partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/thumbnails/393875.fig.004_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-36fe9465eefcf9effa1c2ecbd9ed166f partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图4</gydF4y2Baspan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/aaa/2011/393875/fig4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td> <svg height="13.45" id="M192" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(实线),<gydF4y2Basvg height="14.7125" id="M193" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 36.512501 14.7125" width="36.512501" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.04,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(虚线),<gydF4y2Basvg height="14.7125" id="M194" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 84.650002 14.7125" width="84.650002" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.156515" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.496738" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-24.27,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-19.54,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(虚线)。</gydF4y2Batd> </tr> </tbody> </table> </div> </div> </div> </div> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-162c7239cebe0eb453a3660a4c8f9f45"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/figures/393875.fig.005.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-162c7239cebe0eb453a3660a4c8f9f45 partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/thumbnails/393875.fig.005_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-162c7239cebe0eb453a3660a4c8f9f45 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图5</gydF4y2Baspan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/aaa/2011/393875/fig5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td> <svg height="13.45" id="M195" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(固体)和<gydF4y2Basvg height="13.6375" id="M196" style="vertical-align:-2.34499pt" version="1.1" viewbox="0 0 81.199997 13.6375" width="81.199997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6375)"> <g transform="translate(72,-61.09)"> <text transform="matrix(1,0,0,-1,-71.95,63.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.790569" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.954067" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.830717" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.457548" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.497936" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.649414" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.812912" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.689564" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(虚线)。</gydF4y2Batd> </tr> </tbody> </table> </div> </div> </div> </div> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-4ba63a3c3926a23fe96272adfd544254"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/figures/393875.fig.006.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-4ba63a3c3926a23fe96272adfd544254 partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/aaa/volume-2011/393875/thumbnails/393875.fig.006_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-4ba63a3c3926a23fe96272adfd544254 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图6</gydF4y2Baspan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/aaa/2011/393875/fig6/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td> <svg height="13.45" id="M197" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 30.6 13.45" width="30.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(固体)<gydF4y2Basvg height="14.7125" id="M198" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 36.512501 14.7125" width="36.512501" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.04,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(虚线),<gydF4y2Basvg height="14.7125" id="M199" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 84.650002 14.7125" width="84.650002" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.217352" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.156515" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.496738" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-24.27,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-19.54,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>(虚线)。</gydF4y2Batd> </tr> </tbody> </table> </div> </div> </div> </div> <h4 id="acknowledgments">确认</gydF4y2Bah4> <p>这项工作已经由ERAF项目没有。2010/0206/2DP / 2.1.1.2.0/10 /阿皮亚/ VIAA / 011和拉脱维亚科学委员会批准号09.1220。</gydF4y2Bap> </div> </div> <div class="ArticleReferences_xmlContent__p_40j"> <h4 class="ArticleReferences_references__GH2t_" id="references">引用</gydF4y2Bah4> <ol class="ArticleReferences_orderedReferences__mJr9M"> <li class="ArticleReferences_articleReference__ouEuh" id="B5"> <div class="referenceContent"> <p class="referenceText">m·萨巴蒂”Lienard极限环环形封闭时期,环形或封闭时期,“<我>落基山脉数学杂志》上</我>,35卷,不。1,第266 - 253页,2005。</gydF4y2Bap>视图:<gydF4y2Ba!-- --> <a href="https://doi.org/10.1216/rmjm/1181069780" target="_blank" rel="noreferrer">出版商的网站</gydF4y2Baa> <span class="sep">|</gydF4y2Baspan> <a href="https://scholar.google.com/scholar_lookup?title=Li%C3%A9nard%20limit%20cycles%20enclosing%20period%20annuli%2C%20or%20enclosed%20by%20period%20annuli&author=M.%20Sabatini&publication_year=2005" target="_blank" rel="noreferrer">谷歌学术搜索</gydF4y2Baa> <span class="sep">|</gydF4y2Baspan> <a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1084.34037" target="_blank" rel="noreferrer">Zentralblatt数学</gydF4y2Baa> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B2"> <div class="referenceContent"> <p class="referenceText">Atslega和f . Sadyrbaev”时期轮和非线性边值问题的正解”<我>第七届代表大会国际学会学报》进行分析,其应用和计算(艾萨克' 09)</我>2009年7月,<gydF4y2Baa target="_blank" href="http://www.isaac2009.org/Congress/Welcome.html">http://www.isaac2009.org/Congress/Welcome.html</gydF4y2Baa>。</gydF4y2Bap>视图:<gydF4y2Ba!-- --> <a href="https://scholar.google.com/scholar_lookup?title=Period%20annuli%20and%20positive%20solutions%20of%20nonlinear%20boundary%20value%20problems&author=S.%20Atslega&author=F.%20Sadyrbaev" target="_blank" rel="noreferrer">谷歌学术搜索</gydF4y2Baa> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B4"> <div class="referenceContent"> <p class="referenceText">m·萨巴蒂”的功能<米ath id="M200" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <msup> <mi> x</米我><米o> ”</米o> </msup> <mo> +</米o> <mi> f</米我><米row> <mo stretchy="false"> (</米o> <mi> x</米我><米o stretchy="false"> )</米o> </mrow> <msup> <msup> <mi> x</米我><米o> ′</米o> </msup> <mn> 2</米n></米sup> <mo> +</米o> <mi> g</米我><米row> <mo stretchy="false"> (</米o> <mi> x</米我><米o stretchy="false"> )</米o> </mrow> <mo> =</米o> <mn> 0</米n></米row> </math>”,<我>杂志的微分方程</我>,卷196,不。1,第168 - 151页,2004。</gydF4y2Bap>视图:<gydF4y2Ba!-- --> <a href="https://doi.org/10.1016/S0022-0396(03)00067-6" target="_blank" rel="noreferrer">出版商的网站</gydF4y2Baa> <span class="sep">|</gydF4y2Baspan> <a href="https://scholar.google.com/scholar_lookup?title=On%20the%20period%20function%20of%20x%E2%80%B3%2Bf(x)x%E2%80%B22%2Bg(x)%3D0&author=M.%20Sabatini&publication_year=2004" target="_blank" rel="noreferrer">谷歌学术搜索</gydF4y2Baa> <span class="sep">|</gydF4y2Baspan> <a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1048.34068" target="_blank" rel="noreferrer">Zentralblatt数学</gydF4y2Baa> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B1"> <div class="referenceContent"> <p class="referenceText">美国Atslega和f . Sadyrbaev二阶非线性诺伊曼BVP多个解决方案,”<我>学报第六届国际会议上微分方程和动力系统</我>Watam出版社,页100 - 103年,巴尔的摩,马里兰州,美国,2009年5月。</gydF4y2Bap>视图:<gydF4y2Ba!-- --> <a href="https://scholar.google.com/scholar_lookup?title=Multiple%20solutions%20of%20the%20second%20order%20nonlinear%20Neumann%20BVP&author=S.%20Atslega&author=F.%20Sadyrbaev" target="_blank" rel="noreferrer">谷歌学术搜索</gydF4y2Baa> </div></li> </ol> </div> <h4 class="copyright-title" id="copyright">版权</gydF4y2Bah4> <div class="copyright-body"> 版权©2011叶莲娜Kozmina和Felix Sadyrbaev。这是一个开放的分布式下文章<gydF4y2Baa rel="license" href="http://creativecommons.org/licenses/by/3.0/">知识共享归属许可</gydF4y2Baa>,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。</gydF4y2Badiv> <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/2011/393875.pdf" 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