𝜂𝐾(𝑡) and improve some well-known results."> 单调性、凸性和不平等包括Agard失真函数</gydF4y2Batitle> <link href="//www.newsama.com/static/themes/hindawi/base.css" rel="stylesheet"> <link href="https://static-01.hindawi.com/next_assets/qodxNOfMTKPqd5jUhs9lE/static/lib/basictable.css" rel="stylesheet" media="none" class="next-head"> <link rel="stylesheet" href="https://static-01.hindawi.com/next_assets/qodxNOfMTKPqd5jUhs9lE/static/lib/owl.carousel.min.css" media="none" class="next-head"> <link rel="stylesheet" href="https://static-01.hindawi.com/next_assets/qodxNOfMTKPqd5jUhs9lE/static/lib/owl.theme.default.min.css" media="none" class="next-head"> <link rel="stylesheet" type="text/css" href="https://cdn.bibblio.org/rcm/4.18/bib-related-content.min.css" media="none" class="next-head"> <link rel="stylesheet" type="text/css" href="https://cdn.bibblio.org/rcm/4.18/bib-related-content.min.css" media="none" class="next-head"> <link rel="stylesheet" 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no-repeat 6px;background-position:center;margin-top:10px;min-width:55px;display:none;} @media (min-width:768px){.jfJGTx .floats-partial-section .floats-partial-footer .floats-partial-caption .expand_btn{display:none;}} .jfJGTx .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{-webkit-flex:9;-ms-flex:9;flex:9;text-align:left;padding:21px 37px 10px 0px;font-size:16px;font-weight:700;} @media (min-width:768px){.jfJGTx .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{padding:19px 18px 10px 18px;}} @media (min-width:992px){.jfJGTx .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{padding:19px 21px 10px 21px;}} .jfJGTx .floats-partial-section .floats-partial-footer .floats-partial-caption 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no-repeat 6px;background-position:center;padding:16px 0 16px 0;min-width:62px;max-width:62px;} @media (min-width:768px){.jfJGTx .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url{padding:16px 0 17px 0;min-width:52px;max-width:52px;}} @media (min-width:992px){.jfJGTx .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url{padding:15px 0 17px 0;min-width:60px;max-width:60px;}} .jfJGTx .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url:hover{-webkit-text-decoration:none;text-decoration:none;} .jfJGTx .floats-partial-section .floats-partial-footer .floats-partial-caption-text{font-size:14px;padding:0px 18px 17px 22px;} @media (min-width:768px){.jfJGTx .floats-partial-section .floats-partial-footer .floats-partial-caption-text{padding:0px 15px 15px 18px;}} @media (min-width:992px){.jfJGTx .floats-partial-section .floats-partial-footer .floats-partial-caption-text{padding:0px 18px 19px 21px;}} .jfJGTx .floats-partial-section .floats-partial-footer .floats-partial-caption-text figcaption{margin:0;padding:0;} .jfJGTx .floats-partial-section .floats-partial-footer .floats-partial-caption-text svg{max-width:100%;} .jfJGTx ol{font-size:16px;padding-left:32px;font-family:STIXGeneral-Regular;line-height:24px;margin:15px 0;} .jfJGTx ol li{margin:10px 0;padding-left:10px;word-break:normal;} .jfJGTx ol li a{word-break:break-all;} .jfJGTx ol li .reflinks{display:block;} .jfJGTx ol li .reflinks a{color:#4D8A17;-webkit-text-decoration:none;text-decoration:none;cursor:pointer;} .jfJGTx ol li .reflinks a:hover{-webkit-text-decoration:underline;text-decoration:underline;} .jfJGTx ol li .reflinks .sep{color:#000000;} .jfJGTx .table-wrapper{width:auto;overflow-x:auto;} .jfJGTx .table-wrapper::-webkit-scrollbar{-webkit-appearance:none;width:5px;height:5px;} .jfJGTx .table-wrapper::-webkit-scrollbar-thumb{border-radius:5px;background-color:rgba(0,0,0,.5);-webkit-box-shadow:0 0 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src="data:image/svg+xml;base64,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" 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href="//www.newsama.com/journals/aaa/" aria-label="Abstract and Applied Analysis">抽象和应用分析</一个>/<gydF4y2Ba一个class="sc-htpNat bUhGXt link sc-cpHetk jUUanO breadCrumb" href="//www.newsama.com/journals/aaa/contents/year/2011/" aria-label="2011">2011年</一个>/<gydF4y2Ba年代pan class="sc-nrwXf drSekm">文章</年代pan> </div> <div class="threeColumn__ThreeColumnWrapper-sc-1bf4078-0 comSpQ threeColumnWrapper"> <div class="threeColumn__LeftWrapper-sc-1bf4078-1 fkVFlF leftWrapper"> <button type="button" class="sc-ePZHVD kXdKQA section__button " id="sectionButton"><span class="sc-htoDjs diutvq icon__dots dots__detector icon-colored _3n-7Ho7DlfjMlZbrRr9Q4a icon-themeable" title="" font-size="22"></span>文章部分</gydF4y2Babutton> <div class="sc-jtRlXQ dncNEX static_contents__section_links links__hidden "> <div id="leftSectionMenu" class="sc-lkqHmb yGOZn sc-jeCdPy eVPlap left_section_menu"> <p>在这一页上</gydF4y2Bap> <span class="sc-bEjcJn iLzNBj grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-bGbJRg ihXRQF" href="#abstract" aria-label="">文摘</一个></年代pan> <span class="sc-bEjcJn iLzNBj grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-bGbJRg ihXRQF" href="#introduction" aria-label="">介绍</一个></年代pan> <span class="sc-bEjcJn iLzNBj grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-bGbJRg ihXRQF" href="#acknowledgments" aria-label="">确认</一个></年代pan> <span class="sc-bEjcJn iLzNBj grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-bGbJRg ihXRQF" href="#references" aria-label="">引用</一个></年代pan> <span class="sc-bEjcJn iLzNBj grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-bGbJRg ihXRQF" href="#copyright" aria-label="">版权</一个></年代pan> </div> </div> </div> <div class="threeColumn__ContentWrapper-sc-1bf4078-3 bbzREB contentWrapper"> <div class="threeColumn__Content-sc-1bf4078-4 jknsZc content"> <div class="articleContent__ArticleContentsWrapper-sc-2yl9jy-0 eSvjPB article_contents"> <div class="articleContent__ArticleContentsSectionsWrapper-sc-2yl9jy-1 jntdRu article_contents__sections_wrapper"> <div class="articleContent__ArticleWrapper-sc-2yl9jy-2 hAzjHP"> <div class="sc-iBEsjs kOIDmJ article_header_class"> <p class="sc-fcdeBU jSVooP article_type">研究文章|<gydF4y2Ba!-- -->开放获取</gydF4y2Bap> <div class="sc-gmeYpB edbFGD article_citation"> 体积<gydF4y2Ba!-- --> <!-- -->2011年<gydF4y2Ba!-- --> <span class="sc-RcBXQ euBwsC">|</年代pan>文章的ID<gydF4y2Ba!-- --> <!-- -->671765年<gydF4y2Ba!-- --> <span class="sc-RcBXQ euBwsC">|</年代pan> <a class="sc-htpNat bUhGXt link sc-iSDuPN kDGfWF" href="https://doi.org/10.1155/2011/671765" aria-label="Doi-link">https://doi.org/10.1155/2011/671765</一个></div> <div class="sc-jKVCRD kVmHSX article_full_citation"> <div class="sc-LKuAh eHdRBi isHide"> <p>楚,徼Miao-Kun Wang江Yue-Ping Song-Liang秋<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> <!-- -->”<年代pan class="adjust-article-svg-size">单调性、凸性和不平等包括Agard失真函数</年代pan>”,<gydF4y2Ba!-- --><i>抽象和应用分析</我>,<ggydF4y2BaydF4y2Ba!-- --> <!-- -->卷。<gydF4y2Ba!-- -->2011年<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> <!-- -->文章的ID<gydF4y2Ba!-- -->671765年<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> <!-- -->8<gydF4y2Ba!-- --> <!-- --> <!-- --> <!-- -->页面<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> <!-- -->2011年<gydF4y2Ba!-- -->。<gydF4y2Ba!-- --> <!-- -->https://doi.org/10.1155/2011/671765</gydF4y2Bap> </div> <button class="sc-iAyFgw irxuxk sc-kaNhvL hZfccF" color="">显示引用</gydF4y2Babutton> </div> <h1 class="sc-gPEVay iUuzmH sc-kZmsYB blFFOf article_title adjust-article-svg-size heading-title">单调性、凸性和不平等包括Agard失真函数</gydF4y2Bah1> </div> <div class="sc-kQsIoO ilXkOX article_authors"> <hr class="sc-iQtOjA bpnzQO hr__author"> <span class=""><b>徼楚</gydF4y2Bab><a class="sc-htpNat bUhGXt link" href="mailto:" aria-label="Mail Option"><span class="sc-htoDjs kNoiZu sc-gPzReC kIRihs icon-colored _2zt-1j0LmaF8UjTQAM413G icon-themeable" title="" font-size="16"></span></a>,<年代up>1</年代up></span> <span class="">Miao-Kun王<gydF4y2Ba!-- -->,<年代up>1</年代up></span> <span class="">Yue-Ping江<gydF4y2Ba!-- -->,<年代up>2</年代up> <!-- -->和</年代pan> <span class="">Song-Liang邱<年代up>3</年代up></span> <div class="sc-iybRtq hqlWOa isHide"> <p><sup>1</年代up><span>湖州师范学院数学系,湖州313000年,中国</年代pan></p> <p><sup>2</年代up><span>大学数学和计量经济学,湖南大学,410082年长沙,中国</年代pan></p> <p><sup>3</年代up><span>浙江科技大学数学系,310018年杭州,中国</年代pan></p> </div> <button class="sc-iAyFgw irxuxk sc-hjRWVT erRKjF" color="">显示更多</gydF4y2Babutton> </div> <div class="articleContent__EditorWrapper-sc-2yl9jy-3 evMkvU"> <div class="articleContent__TextWrapper-sc-2yl9jy-8 fYrLtk"> <b>学术编辑器:</gydF4y2Bab>马丁·d·Schechter</gydF4y2Badiv> <div class="articleContent__PublicationTimeLineWrapper-sc-2yl9jy-4 fjviok"> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">收到了</年代pan> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2011年6月22日</年代pan> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">接受</年代pan> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2011年11月10</年代pan> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC isPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">发表</年代pan> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2011年12月15日</年代pan> </div> </div> </div> <article class="sc-hzDEsm jfJGTx article_body "> <div> <div class="xml-content"> <h4 class="header" id="abstract">文摘</gydF4y2Bah4> <p>我们现在一些单调性、凸性和不平等的Agard失真函数<年代vg height="14.6" id="M1" style="vertical-align:-3.13504pt;width:33.075001px;" version="1.1" viewbox="0 0 33.075001 14.6" width="33.075001" 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> </text> <text transform="matrix(1,0,0,-1,-65.7,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.83,63.5)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和改善一些著名的结果。</gydF4y2Bap> <span class="end-abs"></span> <h4 id="introduction">1。介绍</gydF4y2Bah4> <p>为<年代vg height="13.125" id="M2" style="vertical-align:-1.95624pt;width:58.4375px;" version="1.1" viewbox="0 0 58.4375 13.125" width="58.4375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.125)"> <g transform="translate(72,-61.5)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.604944" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.768442" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.019943" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.233692" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.485195" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>Lengedre完全椭圆积分的第一和第二种<一个href="#B1">1</一个>)是由<年代pan class="equation" id="EEq1.1"> <svg height="166.05" id="M3" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 166.05" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,166.05)"> <g transform="translate(72,60.84)"> <text transform="matrix(1,0,0,-1,110.6,52.01)"> <tspan style="font-size: 12.50px; " x="71.760002" y="7.6999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.078857" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.119247" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.822777" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.986275" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.087498" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.714329" y="0"> =</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,189.36,66.03)"> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> 0</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.3212161" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="7.754272" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,204.08,49.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.52"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.877166" y="-2.52"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.217386" y="-2.52"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,235.4,57.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,240.28,52.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 年代</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> n</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,256.95,57.26)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,261.83,52.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.5500002" y="2.52"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,274.23,59.9)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.37112" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="12.804176" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,291.91,52.01)"> <tspan style="font-size: 12.50px; " x="-208.94" y="33.189999"> </gydF4y2Batspan> <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="13.190665" y="0"> ,</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,95.59,24.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,101.15,18.82)"> <tspan style="font-size: 12.50px; " x="43.639999" y="2.52"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.490002" y="0"> </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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.891554" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.931942" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,155.74,23.82)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,159.21,16.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="79.059998" y="-9.7700005"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.52"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.07103" y="-2.52"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.762054" y="-2.52"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.925552" y="-2.52"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.177055" y="-2.52"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="65.816383" y="-2.52"> =</gydF4y2Batspan> </text> <g> <path d="m 238.27,21.94 7.6,0" 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,-1,238.94,10.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-56.82" y="36.599998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.1300001" y="-8.7600002"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.42453" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.115555" y="-8.7600002"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.279053" y="-8.7600002"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.530552" y="-8.7600002"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.169884" y="-8.7600002"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="82.210274" y="-8.7600002"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.788055" y="-8.7600002"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="225.81" y="-27.82"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="229.9735" y="-27.82"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="236.22501" y="-27.82"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="239.35075" y="-27.82"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="245.60225" y="-27.82"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-122.11" y="28.91"> ℰ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-109.25691" y="28.91"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-97.229027" y="28.91"> ℰ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-85.763779" y="28.91"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-81.600281" y="28.91"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-76.499054" y="28.91"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-68.859726" y="28.91"> =</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,189.12,-4.82)"> <tspan style="font-size: 8.75px; " x="-1.25" y="25.52"> 0</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.3212161" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="7.754272" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,203.84,-21.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.877166" y="-2.51"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.217386" y="-2.51"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,235.16,-13.85)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,240.04,-18.85)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 年代</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.863667" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.3395014" y="0"> n</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,256.71,-13.59)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,261.59,-18.85)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.5500002" y="2.51"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,273.99,-10.96)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.8090558" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,285.67,-18.85)"> <tspan style="font-size: 12.50px; " x="-191.47" y="33.189999"> ℰ</gydF4y2Batspan> <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="13.203168" y="0"> ,</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,103.58,-46.73)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,109.13,-52.03)"> <tspan style="font-size: 12.50px; " x="40.400002" y="2.52"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.259998" y="0.0099999998"> </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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.904057" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.931942" y="0"> ℰ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,160.49,-47.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,163.96,-54.55)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.82" y="-9.7700005"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.9400001" y="-2.51"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.058529" y="-2.51"> ℰ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.529999" y="-2.52"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.693501" y="-2.52"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.945" y="-2.52"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.571831" y="-2.52"> =</gydF4y2Batspan> </text> <g> <path d="m 239.78,-48.91 7.6,0" 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,-1,240.45,-60.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.1199999" y="-8.75"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.25103" y="-8.75"> ℰ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.720001" y="-8.7600002"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.883499" y="-8.7600002"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.134998" y="-8.7600002"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.761829" y="-8.7600002"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="74.802216" y="-8.7600002"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="81.053719" y="-8.7600002"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="224.3" y="-27.82"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="228.4635" y="-27.82"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="234.715" y="-27.82"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="237.84074" y="-27.82"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="244.09225" y="-27.82"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>分别。接下来,我们组<年代vg height="20.4125" id="M5" style="vertical-align:-2.10545pt;width:82.675003px;" version="1.1" viewbox="0 0 82.675003 20.4125" width="82.675003" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.4125)"> <g transform="translate(72,-55.67)"> <text transform="matrix(1,0,0,-1,-71.95,57.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-66.85,62.82)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.9,57.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.04" y="-1.14"> √</gydF4y2Batspan> </text> <g> <path d="m -36.26,70.71 30.35,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,-36.26,57.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.367388" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-10.79,61.26)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Bap> <p>让<年代vg height="13.55" id="M6" style="vertical-align:-2.29482pt;width:26.424999px;" version="1.1" viewbox="0 0 26.424999 13.55" width="26.424999" 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="7.6018238" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.765323" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.866547" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>的模量计划Grotzsch戒指<年代vg height="17.450001" id="M7" style="vertical-align:-2.78387pt;width:62.875px;" version="1.1" viewbox="0 0 62.875 17.450001" width="62.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.45)"> <g transform="translate(72,-58.04)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.61,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-55.96,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⧵</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.3147354" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.478234" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.729734" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.943485" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.044708" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>为<年代vg height="13.45" id="M8" style="vertical-align:-2.21957pt;width:58.4375px;" version="1.1" viewbox="0 0 58.4375 13.45" width="58.4375" 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="8.5645552" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.604944" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.768442" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.019943" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.233692" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.485195" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,在那里<年代vg height="13.9875" id="M9" style="vertical-align:-0.0pt;width:16.637501px;" version="1.1" viewbox="0 0 16.637501 13.9875" width="16.637501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.9875)"> <g transform="translate(72,-60.81)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.61,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>是单位圆盘。然后,它遵循从[<一个href="#B2">2</一个>),<gydF4y2Ba年代pan class="equation" id="EEq1.3"> <svg height="36.912498" id="M10" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 36.912498" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,36.9125)"> <g transform="translate(72,-42.47)"> <text transform="matrix(1,0,0,-1,163.42,53.48)"> <tspan style="font-size: 12.50px; " x="39.830002" y="-7.25"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.6898251" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.853324" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.954548" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.593882" y="0"> =</gydF4y2Batspan> </text> <g> <path d="m 203.25,56.6 7.6,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,203.93,44.72)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.3100004" y="-16.98"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,225.86,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,231.42,61.7)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> </text> <g> <path d="m 213.24,56.6 31.6,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,214.98,44.72)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.7" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.863499" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.964724" y="-0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.23" y="-8.7600002"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="249.77" y="-8.7600002"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="253.9335" y="-8.7600002"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="260.185" y="-8.7600002"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="263.31076" y="-8.7600002"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="269.56226" y="-8.7600002"> )</gydF4y2Batspan> </text> </g> </g> </svg></span></p> <p>为<年代vg height="13.45" id="M11" style="vertical-align:-2.21957pt;width:70.625px;" version="1.1" viewbox="0 0 70.625 13.45" width="70.625" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,Hersch-Pfluger失真函数<年代vg height="14.6" id="M12" style="vertical-align:-3.13504pt;width:37.150002px;" version="1.1" viewbox="0 0 37.150002 14.6" width="37.150002" 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> </text> <text transform="matrix(1,0,0,-1,-63.62,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-55.76,63.5)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>被定义为<年代pan class="equation" id="EEq1.4"> <svg height="38.575001" id="M13" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 38.575001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,38.575)"> <g transform="translate(72,-41.14)"> <text transform="matrix(1,0,0,-1,35.93,53.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,44.26,50.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,54.21,53.45)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.891554" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.931942" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,90.76,58.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,103.72,46.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.57" y="-15.63"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.259825" y="-15.63"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.423325" y="-15.63"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.524548" y="-15.63"> )</gydF4y2Batspan> </text> <g> <path d="m 114.29,56.57 23.12,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,120.59,44.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.02" y="-1.4299999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.439999" y="-8.7600002"> f</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.215904" y="-8.7600002"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.467407" y="-8.7600002"> r</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.781902" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.358955" y="-8.7600002"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="80.474846" y="-8.7600002"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="84.638344" y="-8.7600002"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="90.889847" y="-8.7600002"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="96.1036" y="-8.7600002"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="102.35509" y="-8.7600002"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="108.6066" y="-8.7600002"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="133.73763" y="-8.7600002"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,262.66,50.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,272.61,53.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.054333" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.082218" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,311.03,50.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,320.98,53.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.354164" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.694386" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.421719" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.462109" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.713608" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="143.77" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="147.9335" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="154.185" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="157.31075" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="163.56226" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>虽然Agard失真函数<年代vg height="14.6" id="M14" style="vertical-align:-3.13504pt;width:33.075001px;" version="1.1" viewbox="0 0 33.075001 14.6" width="33.075001" 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> </text> <text transform="matrix(1,0,0,-1,-65.7,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.83,63.5)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和线性失真函数<年代vg height="13.45" id="M15" style="vertical-align:-2.21957pt;width:30.9px;" version="1.1" viewbox="0 0 30.9 13.45" width="30.9" 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="6.764123" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.927622" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.454908" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是由<年代pan class="equation" id="EEq1.5"> <svg height="40.837502" id="M16" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 40.837502" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,40.8375)"> <g transform="translate(72,-39.33)"> <text transform="matrix(1,0,0,-1,38.91,51.63)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,45.16,48.51)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,55.11,51.64)"> <tspan style="font-size: 12.50px; " x="27.75" y="7.3299999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.439999" y="-9.1300001"> </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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.703768" y="0"> =</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,103.88,57.65)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,113.83,60.78)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> </text> <g> <path d="m 90.41,54.76 41.99,0" 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,-1,90.41,42.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,98.74,39.75)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.8090558" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,115.5,42.89)"> <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,-1,124.76,46.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,128.24,42.89)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.3499999" y="-1.42"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.79" y="-8.7399998"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.956139" y="-8.7399998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.808262" y="-8.7399998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.971764" y="-8.7399998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.499287" y="-8.7399998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.126118" y="-8.7399998"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="72.166504" y="-8.7399998"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,206.67,48.51)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,216.62,51.64)"> <tspan style="font-size: 12.50px; " x="52.450001" y="6.2199998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.653996" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.832638" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.397194" y="0"> =</gydF4y2Batspan> </text> <g> <path d="m 283.12,70.71 26.68,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,294.5,58.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <g> <path d="m 284.31,54.76 24.29,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,284.31,42.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.367388" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.450001" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.826771" y="-8.75"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.955158" y="-8.75"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.11866" y="-8.75"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="67.370155" y="-8.75"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="72.571404" y="-8.75"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="84.149185" y="-8.75"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="90.400688" y="-8.75"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="180.44" y="-8.75"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="184.6035" y="-8.75"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="190.855" y="-8.75"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="193.98074" y="-8.75"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="200.23225" y="-8.75"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>分别。</gydF4y2Bap> <p>众所周知,功能<年代vg height="14.6" id="M17" style="vertical-align:-3.13504pt;width:33.075001px;" version="1.1" viewbox="0 0 33.075001 14.6" width="33.075001" 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> </text> <text transform="matrix(1,0,0,-1,-65.7,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.83,63.5)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<年代vg height="13.45" id="M18" style="vertical-align:-2.21957pt;width:30.9px;" version="1.1" viewbox="0 0 30.9 13.45" width="30.9" 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="6.764123" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.927622" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.454908" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>扮演非常重要的角色在共理论中,quasiregular理论,以及其他一些相关领域(<一个href="#B3">3</一个>- - - - - -<一个href="#B8">8</一个>]。例如,马丁[<一个href="#B8">8</一个>)发现,肖特基的大幅上界定理可以表达的<年代vg height="14.6" id="M19" style="vertical-align:-3.13504pt;width:33.075001px;" version="1.1" viewbox="0 0 33.075001 14.6" width="33.075001" 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> </text> <text transform="matrix(1,0,0,-1,-65.7,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.83,63.5)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,在(<一个href="#B9">9</一个>- - - - - -<一个href="#B15">15</一个>]作者建立了一个数量的显著属性Agard失真函数<年代vg height="14.6" id="M20" style="vertical-align:-3.13504pt;width:33.075001px;" version="1.1" viewbox="0 0 33.075001 14.6" width="33.075001" 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> </text> <text transform="matrix(1,0,0,-1,-65.7,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.83,63.5)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Bap> <p>在[<一个href="#B14">14</一个>),作者证明了这一点<年代pan class="equation" id="EEq1.6"> <svg height="48" id="M21" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,48)"> <g transform="translate(72,-33.6)"> <text transform="matrix(1,0,0,-1,144.7,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,150.27,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.3124642" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.2268801" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="14.895904" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="20.891024" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="25.267023" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,182.43,61.03)"> <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="20.880011" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.043509" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.571033" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.210369" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.238255" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,243.24,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3935041" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="7.30792" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="13.976944" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="19.972063" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="24.348064" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,271.01,61.49)"> <tspan style="font-size: 12.50px; " x="-133.71001" y="24.09"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="193.74001" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="197.9035" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="204.155" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="207.28075" y="0"> 6</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="213.53224" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,142.87,42.4)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.11344" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="7.0278559" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="13.69688" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="19.691999" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="24.068001" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="26.501057" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="33.170078" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,182.92,37.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.880011" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.043509" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.571033" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.210369" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.250755" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,243.74,42.4)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.3124642" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.2268801" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="14.895904" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="20.891024" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="25.267023" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="27.700081" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="34.369102" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,464.75,37.85)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.540749" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>对所有<年代vg height="13.45" id="M23" style="vertical-align:-2.21957pt;width:70.625px;" version="1.1" viewbox="0 0 70.625 13.45" width="70.625" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,在那里<年代vg height="20.4125" id="M24" style="vertical-align:-2.55817pt;width:209.3875px;" version="1.1" viewbox="0 0 209.3875 20.4125" width="209.3875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.4125)"> <g transform="translate(72,-55.67)"> <text transform="matrix(1,0,0,-1,-71.95,58.27)"> <tspan style="font-size: 12.50px; " x="73.949997" y="-0.69"> √</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.7398367" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.780226" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.943726" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.195225" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.671059" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.272884" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.436382" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.05191" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="64.215408" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.466911" y="0"> /</gydF4y2Batspan> </text> <g> <path d="m 13.6,70.71 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,-1,13.6,58.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,24.02,63.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,32.37,58.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.405136" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.656635" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.908134" y="0"> 6</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.159637" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.499138" y="0"> …</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="10.9125" id="M25" style="vertical-align:-0.17555pt;width:46.862499px;" version="1.1" viewbox="0 0 46.862499 10.9125" width="46.862499" 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="9.3397408" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.380131" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.656635" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.132469" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。最近,安德森et al。<一个href="#B15">15</一个>),<gydF4y2Ba年代pan class="equation" id="EEq1.8"> <svg height="48.075001" id="M26" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.075001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,48.075)"> <g transform="translate(72,-33.54)"> <text transform="matrix(1,0,0,-1,156.6,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.8396206" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.00312" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.530645" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.169979" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.210369" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,205.38,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.2268801" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="14.222" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="18.33544" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="20.768496" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="27.437519" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="30.351936" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="33.266354" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="39.935375" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="45.930496" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="50.306496" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,259.11,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-173.32001" y="23.690001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="205.64" y="-0.46000001"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="209.8035" y="-0.46000001"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="216.05499" y="-0.46000001"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="219.18076" y="-0.46000001"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="225.43225" y="-0.46000001"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,91.35,42.34)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.3474722" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="9.7234716" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="15.561056" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="19.937056" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="25.932177" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="28.846592" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="33.240097" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="39.235214" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="41.66827" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="46.044273" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="51.873104" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="56.249104" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="59.163521" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="61.596577" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="68.265602" y="0"> ]</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="71.180016" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="74.094429" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="80.763458" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="86.758575" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="91.134575" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,189.38,37.34)"> <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="20.880011" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.043509" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.571033" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.210369" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.238255" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,250.19,42.34)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.2356319" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="14.230752" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="17.145168" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="21.538671" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="27.533792" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="29.966848" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="34.34285" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="40.180431" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="44.556431" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="47.470848" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="49.903904" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="56.572929" y="0"> ]</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="59.487343" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="62.40176" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="69.070786" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="75.065903" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="79.441902" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,464.75,37.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.540749" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>对所有<年代vg height="13.45" id="M28" style="vertical-align:-2.21957pt;width:70.625px;" version="1.1" viewbox="0 0 70.625 13.45" width="70.625" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,在那里<年代vg height="7.1750002" id="M29" style="vertical-align:-0.1254pt;width:7.9749999px;" version="1.1" viewbox="0 0 7.9749999 7.1750002" width="7.9749999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.175)"> <g transform="translate(72,-66.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>和<年代vg height="10.7375" id="M30" style="vertical-align:-0.13794pt;width:7.4749999px;" version="1.1" viewbox="0 0 7.4749999 10.7375" width="7.4749999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.7375)"> <g transform="translate(72,-63.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>被定义为在不平等(<一个href="#EEq1.6">1.6</一个>)和(<一个href="#EEq1.6">1.7</一个>),分别。</gydF4y2Bap> <p>本文的目的是提出新的单调性,Agard失真函数凸性和不平等<年代vg height="14.6" id="M31" style="vertical-align:-3.13504pt;width:33.075001px;" version="1.1" viewbox="0 0 33.075001 14.6" width="33.075001" 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> </text> <text transform="matrix(1,0,0,-1,-65.7,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.83,63.5)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和改善不平等(<一个href="#EEq1.6">1.6</一个>)- (<一个href="#EEq1.8">1.9</一个>)。</gydF4y2Bap> <p>我们的主要结果是定理<一个href="#thm1.1">1.1</一个>和<一个href="#thm1.2">1.2</一个>如下。</gydF4y2Bap> <p><span class="statement" id="thm1.1"><span class="statement-title">定理1.1。</年代pan><i>让<年代vg height="13.45" id="M32" style="vertical-align:-2.21957pt;width:70.625px;" version="1.1" viewbox="0 0 70.625 13.45" width="70.625" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="20.4125" id="M33" style="vertical-align:-2.55817pt;width:209.3875px;" version="1.1" viewbox="0 0 209.3875 20.4125" width="209.3875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.4125)"> <g transform="translate(72,-55.67)"> <text transform="matrix(1,0,0,-1,-71.95,58.27)"> <tspan style="font-size: 12.50px; " x="73.949997" y="-0.69"> √</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.7398367" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.780226" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.943726" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.195225" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.671059" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.272884" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.436382" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.05191" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="64.215408" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.466911" y="0"> /</gydF4y2Batspan> </text> <g> <path d="m 13.6,70.71 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,-1,13.6,58.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,24.02,63.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,32.37,58.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.405136" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.656635" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.908134" y="0"> 6</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.159637" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.499138" y="0"> …</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="10.9125" id="M34" style="vertical-align:-0.17555pt;width:46.862499px;" version="1.1" viewbox="0 0 46.862499 10.9125" width="46.862499" 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="9.3397408" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.380131" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.656635" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.132469" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="10.8875" id="M35" style="vertical-align:-0.33858pt;width:37.674999px;" version="1.1" viewbox="0 0 37.674999 10.8875" width="37.674999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8875)"> <g transform="translate(72,-63.29)"> <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="8.6520758" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> ℝ</gydF4y2Batspan> </text> </g> </g> </svg>。然后,下面的陈述是真实的。</我><年代pan class="list"><span class="list-item"><span class="list-label">(1)</年代pan><span class="list-content"><i> <svg height="14.125" id="M36" style="vertical-align:-2.34499pt;width:104.4875px;" version="1.1" viewbox="0 0 104.4875 14.125" width="104.4875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.125)"> <g transform="translate(72,-60.7)"> <text transform="matrix(1,0,0,-1,-71.95,63.09)"> <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="20.62995" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.256781" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.297169" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.061291" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.224792" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.752075" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="64.915573" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="68.391411" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,6.98,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>是严格增加从<年代vg height="13.45" id="M37" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>到<年代vg height="13.45" id="M38" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>为<年代vg height="11.25" id="M39" style="vertical-align:-1.29163pt;width:33.849998px;" version="1.1" viewbox="0 0 33.849998 11.25" width="33.849998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.25)"> <g transform="translate(72,-63)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>;如果<年代vg height="8.8500004" id="M40" style="vertical-align:-0.30096pt;width:33.849998px;" version="1.1" viewbox="0 0 33.849998 8.8500004" width="33.849998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,8.85)"> <g transform="translate(72,-64.92)"> <text transform="matrix(1,0,0,-1,-71.95,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,然后存在<年代vg height="14.75" id="M41" style="vertical-align:-3.25793pt;width:76.724998px;" version="1.1" viewbox="0 0 76.724998 14.75" width="76.724998" 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> </text> <text transform="matrix(1,0,0,-1,-62.42,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-54.08,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.203888" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.455387" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.656635" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.234413" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,这样<年代vg height="13.4875" id="M42" style="vertical-align:-2.34499pt;width:10.675px;" version="1.1" viewbox="0 0 10.675 13.4875" width="10.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.4875)"> <g transform="translate(72,-61.21)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>严格递减<年代vg height="14.75" id="M43" style="vertical-align:-3.25793pt;width:42.862499px;" version="1.1" viewbox="0 0 42.862499 14.75" width="42.862499" 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="4.1634989" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.8,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-41.92,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>并严格增加<年代vg height="14.75" id="M44" style="vertical-align:-3.25793pt;width:49.525002px;" version="1.1" viewbox="0 0 49.525002 14.75" width="49.525002" 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="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.26,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-53.39,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.791529" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。特别是,不平等<年代vg height="13.9625" id="M45" style="vertical-align:-2.21957pt;width:69.150002px;" version="1.1" viewbox="0 0 69.150002 13.9625" width="69.150002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.9625)"> <g transform="translate(72,-60.83)"> <text transform="matrix(1,0,0,-1,-71.95,63.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.764123" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.927622" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.454908" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.081738" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.122128" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-21.29,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>适用于所有<年代vg height="13.45" id="M46" style="vertical-align:-2.21957pt;width:70.625px;" version="1.1" viewbox="0 0 70.625 13.45" width="70.625" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>与最好的常数<年代vg height="7.1875" id="M47" style="vertical-align:-0.13794pt;width:33.849998px;" version="1.1" viewbox="0 0 33.849998 7.1875" width="33.849998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1875)"> <g transform="translate(72,-66.25)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。</我></年代pan></span><span class="list-item"><span class="list-label">(2)</年代pan><span class="list-content"><i> <svg height="14.7125" id="M48" style="vertical-align:-3.13504pt;width:217.91251px;" version="1.1" viewbox="0 0 217.91251 14.7125" width="217.91251" 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"> </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="19.84226" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.469091" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.50948" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.672977" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.148811" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.400314" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.815311" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-1.87,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,6,63.41)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.0036" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.083656" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.498657" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.412094" y="0"> ]</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.575596" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.05143" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.214928" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="74.517883" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="85.858101" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="92.109604" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是凸的<年代vg height="13.45" id="M49" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>固定<年代vg height="13.45" id="M50" style="vertical-align:-2.21957pt;width:63.612499px;" version="1.1" viewbox="0 0 63.612499 13.45" width="63.612499" 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="7.37677" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.580658" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.04591" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.623688" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</我></年代pan></span><span class="list-item"><span class="list-label">(3)</年代pan><span class="list-content"><i>如果<年代vg height="12.3" id="M51" style="vertical-align:-1.29163pt;width:32.224998px;" version="1.1" viewbox="0 0 32.224998 12.3" width="32.224998" 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="7.37677" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>和<年代vg height="20.4125" id="M52" style="vertical-align:-3.66795pt;width:90.400002px;" version="1.1" viewbox="0 0 90.400002 20.4125" width="90.400002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.4125)"> <g transform="translate(72,-55.67)"> <text transform="matrix(1,0,0,-1,-71.95,59.38)"> <tspan style="font-size: 12.50px; " x="20.610001" y="0.41999999"> √</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> =</gydF4y2Batspan> </text> <g> <path d="m -39.74,70.71 40.01,0" 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,-39.74,59.38)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.913439" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.3892732" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.552772" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.579939" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.920158" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.833599" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,然后<年代vg height="14.7125" id="M53" style="vertical-align:-3.13504pt;width:235.5px;" version="1.1" viewbox="0 0 235.5 14.7125" width="235.5" 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"> ℎ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.214231" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.37773" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.905016" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.531845" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.572235" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.735733" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.211567" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.463066" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="64.878067" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-0.81,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,7.06,63.41)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.083656" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.498657" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.412094" y="0"> ]</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.575596" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.05143" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.214928" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="74.517883" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="85.870605" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="92.122101" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.597939" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="105.12522" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是严格增加从<年代vg height="13.45" id="M54" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>到<年代vg height="15.7125" id="M55" style="vertical-align:-2.21957pt;width:191.46249px;" version="1.1" viewbox="0 0 191.46249 15.7125" width="191.46249" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.7125)"> <g transform="translate(72,-59.43)"> <text transform="matrix(1,0,0,-1,-71.95,61.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.030525" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-22.88,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-19.4,61.7)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.428222" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.904057" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.707129" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.308952" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.92448" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.087978" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.189201" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.352699" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.828537" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,60.05,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,63.53,61.7)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.428222" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</我></年代pan></span></span><i></i></span></p> <p><span class="statement" id="thm1.2"><span class="statement-title">定理1.2。</年代pan><i>让<年代vg height="13.45" id="M56" style="vertical-align:-2.21957pt;width:63.612499px;" version="1.1" viewbox="0 0 63.612499 13.45" width="63.612499" 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="7.37677" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.580658" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.04591" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.623688" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="20.4125" id="M57" style="vertical-align:-3.66795pt;width:90.400002px;" version="1.1" viewbox="0 0 90.400002 20.4125" width="90.400002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.4125)"> <g transform="translate(72,-55.67)"> <text transform="matrix(1,0,0,-1,-71.95,59.38)"> <tspan style="font-size: 12.50px; " x="20.610001" y="0.41999999"> √</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> =</gydF4y2Batspan> </text> <g> <path d="m -39.74,70.71 40.01,0" 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,-39.74,59.38)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.913439" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.3892732" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.552772" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.579939" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.920158" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.833599" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="20.4125" id="M58" style="vertical-align:-2.55817pt;width:179.425px;" version="1.1" viewbox="0 0 179.425 20.4125" width="179.425" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.4125)"> <g transform="translate(72,-55.67)"> <text transform="matrix(1,0,0,-1,-71.95,58.27)"> <tspan style="font-size: 12.50px; " x="73.949997" y="-0.69"> √</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.7398367" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.780226" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.943726" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.195225" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.671059" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.272884" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.436382" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.05191" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="64.215408" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.466911" y="0"> /</gydF4y2Batspan> </text> <g> <path d="m 13.6,70.71 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,-1,13.6,58.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,24.02,63.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,28.89,58.27)"> <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="14.553492" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.593882" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.870388" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.346222" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="16.637501" id="M59" style="vertical-align:-2.29482pt;width:111.975px;" version="1.1" viewbox="0 0 111.975 16.637501" width="111.975" 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,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9646511" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.12815" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.229374" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.856203" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.896591" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-26.44,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-21.57,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6393328" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.890833" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.492657" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.656157" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.75738" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.920879" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="18.612499" id="M60" style="vertical-align:-2.21957pt;width:256.41251px;" version="1.1" viewbox="0 0 256.41251 18.612499" width="256.41251" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.6125)"> <g transform="translate(72,-57.11)"> <text transform="matrix(1,0,0,-1,-71.95,59.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.7020884" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.865587" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.96681" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.593641" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.634029" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.885529" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.501057" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.664555" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="65.765778" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.929276" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,10.6,64.68)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,14.08,59.37)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,27.5,64.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,32.38,59.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ℰ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.540749" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.704248" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.805471" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.744637" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.084858" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,78.57,64.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="3.47" y="-1.66"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,86.92,59.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.615527" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.043749" y="0"> ]</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.207249" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.683083" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,128.2,64.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="14.825" id="M61" style="vertical-align:-3.2316pt;width:272.04999px;" version="1.1" viewbox="0 0 272.04999 14.825" width="272.04999" 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,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.22,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.66,63.41)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.330118" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.358006" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.885288" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.04879" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.212288" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.688122" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.939621" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.367126" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,17.96,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,25.83,63.41)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.083656" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.498657" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.412094" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.575596" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.05143" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.214928" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="74.53038" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="85.870605" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="92.122101" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="99.061272" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="110.40149" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="115.59023" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>。然后,下面的陈述是真实的。</我><年代pan class="list"><span class="list-item"><span class="list-label">(1)</年代pan><span class="list-content"><i> <svg height="14.7125" id="M62" style="vertical-align:-3.2316pt;width:37.8125px;" version="1.1" viewbox="0 0 37.8125 14.7125" width="37.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.66,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是严格递减的<年代vg height="13.45" id="M63" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>到<年代vg height="13.625" id="M64" style="vertical-align:-2.21957pt;width:157.64999px;" version="1.1" viewbox="0 0 157.64999 13.625" width="157.64999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.625)"> <g transform="translate(72,-61.1)"> <text transform="matrix(1,0,0,-1,-71.95,63.36)"> <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="12.728054" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.305832" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.50708" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.758579" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.374107" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.537605" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.638828" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.80233" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="74.417854" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.031219" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="82.194725" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="87.295944" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="91.459442" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="94.93528" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="105.31277" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="116.66549" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="121.85424" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>为<年代vg height="13.45" id="M65" style="vertical-align:-2.21957pt;width:53.987499px;" version="1.1" viewbox="0 0 53.987499 13.45" width="53.987499" 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="8.6520758" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.657116" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.820614" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.921841" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。如果<年代vg height="13.45" id="M66" style="vertical-align:-2.21957pt;width:53.987499px;" version="1.1" viewbox="0 0 53.987499 13.45" width="53.987499" 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="8.6520758" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.657116" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.820614" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.921841" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,然后<年代vg height="14.7125" id="M67" style="vertical-align:-3.2316pt;width:37.8125px;" version="1.1" viewbox="0 0 37.8125 14.7125" width="37.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.66,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是严格递减的<年代vg height="13.45" id="M68" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>到<年代vg height="16.35" id="M69" style="vertical-align:-2.73372pt;width:290.58749px;" version="1.1" viewbox="0 0 290.58749 16.35" width="290.58749" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.35)"> <g transform="translate(72,-58.92)"> <text transform="matrix(1,0,0,-1,-71.95,61.7)"> <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="13.12815" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.291649" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.392874" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.332039" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.67226" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.011761" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.487595" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.739094" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.154091" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.181259" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="89.521477" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="92.997314" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="99.248817" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="109.67632" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="113.58975" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="118.791" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="125.0425" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="137.65804" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="141.82153" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="146.92276" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="151.08626" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,91.76,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,95.24,61.7)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.428222" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.904057" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.281546" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.621765" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.586418" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.749916" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.851143" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.014641" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。此外,<年代pan class="equation" id="EEq1.10"> <svg height="20.950001" id="M70" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 20.950001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.95)"> <g transform="translate(72,-55.24)"> <text transform="matrix(1,0,0,-1,28.3,59.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.913439" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,37.78,64.04)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="9.5834398" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="15.57856" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="19.954559" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="22.868977" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="25.783392" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="32.058575" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="34.972992" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="38.543808" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="41.458225" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="47.453342" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="50.36776" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="53.282177" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="59.557362" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="62.471775" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="66.042595" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="68.957008" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="74.952126" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="80.78096" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="83.21402" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="87.590019" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="93.427597" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="97.803596" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="103.79872" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="106.23177" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="110.60777" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="116.44536" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="119.18474" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="122.09915" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="124.53221" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="131.20123" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="134.11565" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,178.78,59.04)"> <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,-1,197.07,55.92)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,207.03,59.05)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.703768" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.744158" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.657597" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,244.25,64.04)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="9.5834398" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="15.57856" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="19.954559" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="22.868977" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="25.783392" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="32.058575" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="34.972992" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="38.543808" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="41.458225" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="47.453342" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="50.36776" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="53.282177" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="57.658176" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="66.488945" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="69.403358" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="72.974174" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="75.888596" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,328.97,67.71)"> <tspan style="font-size: 6.25px; " x="0" y="0"> ′</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,331.28,64.04)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.4852319" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="9.3996477" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="11.832704" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="17.145168" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="23.140287" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="29.415472" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="32.329887" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="35.900703" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="38.815121" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="41.729534" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="44.162594" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="50.831615" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="53.746033" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,458.49,59.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.540749" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.043749" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>对所有<年代vg height="13.45" id="M71" style="vertical-align:-2.21957pt;width:63.612499px;" version="1.1" viewbox="0 0 63.612499 13.45" width="63.612499" 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="7.37677" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.580658" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.04591" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.623688" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<年代vg height="13.45" id="M72" style="vertical-align:-2.21957pt;width:70.625px;" version="1.1" viewbox="0 0 70.625 13.45" width="70.625" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。特别是,如果<年代vg height="10.825" id="M73" style="vertical-align:-0.11285pt;width:32.224998px;" version="1.1" viewbox="0 0 32.224998 10.825" width="32.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.825)"> <g transform="translate(72,-63.34)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>,然后(<一个href="#EEq1.10">1.10</一个>)成为<年代pan class="equation" id="EEq1.11"> <svg height="18.5375" id="M74" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 18.5375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.5375)"> <g transform="translate(72,-57.17)"> <text transform="matrix(1,0,0,-1,85.67,60.97)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,91.24,65.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="9.5834398" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="15.57856" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="19.954559" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="22.868977" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="25.783392" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="31.095856" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="37.090977" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="40.00539" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="42.919807" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="48.241024" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="54.236145" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="60.073727" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="62.506783" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="66.882782" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="72.720367" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="77.096367" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="80.01078" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="82.44384" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="89.112862" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="92.027283" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,190.15,60.97)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.880011" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.043509" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.571033" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.210369" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.250755" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,250.97,65.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="9.5834398" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="15.57856" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="19.954559" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="22.868977" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="25.783392" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="31.095856" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="37.090977" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="40.00539" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="42.919807" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="47.313313" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="53.308434" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="58.629646" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="61.544064" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="63.977119" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="70.646141" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="73.560562" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,327.95,60.97)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="130.53999" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="134.70351" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="140.955" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="144.08075" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="150.33224" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="156.58376" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span></i></span></span><span class="list-item"><span class="list-label">(2)</年代pan><span class="list-content"><i>如果<年代vg height="13.45" id="M75" style="vertical-align:-2.21957pt;width:53.662498px;" version="1.1" viewbox="0 0 53.662498 13.45" width="53.662498" 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="8.6520758" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.394552" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.558052" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.659275" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,然后<年代vg height="14.7125" id="M76" style="vertical-align:-3.2316pt;width:37.8125px;" version="1.1" viewbox="0 0 37.8125 14.7125" width="37.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.66,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是严格增加从<年代vg height="13.45" id="M77" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>到<年代vg height="15.7125" id="M78" style="vertical-align:-2.21957pt;width:146.77499px;" version="1.1" viewbox="0 0 146.77499 15.7125" width="146.77499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.7125)"> <g transform="translate(72,-59.43)"> <text transform="matrix(1,0,0,-1,-71.95,61.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.030525" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.29525" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.458748" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-22.88,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-19.4,61.7)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.428222" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.904057" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.281546" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.621765" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.810513" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.011761" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.589539" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。此外,<年代pan class="equation" id="EEq1.12"> <svg height="20.950001" id="M79" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 20.950001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.95)"> <g transform="translate(72,-55.24)"> <text transform="matrix(1,0,0,-1,108.29,59.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,114.54,55.92)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,124.49,59.05)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.703768" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.744158" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.657597" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,161.72,64.04)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="9.5834398" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="15.57856" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="19.954559" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="22.868977" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="25.783392" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="31.874784" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="34.7892" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="38.360016" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="41.274433" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="47.26955" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="50.183968" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="53.098385" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="57.474384" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="66.305153" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="69.219566" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="72.790382" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="75.704803" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,246.26,67.71)"> <tspan style="font-size: 6.25px; " x="0" y="0"> ′</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,248.56,64.04)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.4852319" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="9.3996477" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="11.832704" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="17.153919" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="23.14904" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="29.240433" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="32.154846" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="35.725662" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="38.640079" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="41.554497" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="43.987553" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="50.656574" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="53.570992" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,458.49,59.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.540749" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.043749" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>对所有<年代vg height="13.45" id="M80" style="vertical-align:-2.21957pt;width:63.612499px;" version="1.1" viewbox="0 0 63.612499 13.45" width="63.612499" 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="7.37677" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.580658" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.04591" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.623688" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<年代vg height="13.45" id="M81" style="vertical-align:-2.21957pt;width:70.625px;" version="1.1" viewbox="0 0 70.625 13.45" width="70.625" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。特别是,如果<年代vg height="10.825" id="M82" style="vertical-align:-0.11285pt;width:32.224998px;" version="1.1" viewbox="0 0 32.224998 10.825" width="32.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.825)"> <g transform="translate(72,-63.34)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>,然后(<一个href="#EEq1.12">1.12</一个>)成为<年代pan class="equation" id="EEq1.13"> <svg height="18.4625" id="M83" 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,-1,121.51,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.8396206" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.00312" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.530645" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.169979" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.197865" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,170.28,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="9.5834398" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="15.57856" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="19.954559" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="22.868977" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="25.783392" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="29.896832" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="35.891953" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="38.80637" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="42.919807" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="45.352863" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="52.021889" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="54.936302" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,232.11,61.03)"> <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,-1,249.71,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.11344" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="7.0278559" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="13.69688" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="19.691999" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="22.606417" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="26.982416" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="29.415472" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="36.084496" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="38.998913" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,292.12,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="166.37" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="170.53349" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="176.785" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="179.91075" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="186.16225" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="192.41374" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span></i></span></span><span class="list-item"><span class="list-label">(3)</年代pan><span class="list-content"><i>如果<年代vg height="13.45" id="M84" style="vertical-align:-2.21957pt;width:101.0375px;" version="1.1" viewbox="0 0 101.0375 13.45" width="101.0375" 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="8.7020884" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.865587" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.96681" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.593641" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.634029" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.298611" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.338997" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="67.30365" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.467148" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="76.568375" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,然后存在<年代vg height="14.6" id="M85" style="vertical-align:-3.13504pt;width:76.724998px;" version="1.1" viewbox="0 0 76.724998 14.6" width="76.724998" 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> </text> <text transform="matrix(1,0,0,-1,-62.42,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-54.08,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.203888" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.455387" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.656635" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.234413" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>这样<年代vg height="14.7125" id="M86" style="vertical-align:-3.2316pt;width:37.8125px;" version="1.1" viewbox="0 0 37.8125 14.7125" width="37.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.66,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是严格递减上<年代vg height="14.6" id="M87" style="vertical-align:-3.13504pt;width:42.862499px;" version="1.1" viewbox="0 0 42.862499 14.6" width="42.862499" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.8,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-41.92,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和严格的增加<年代vg height="14.6" id="M88" style="vertical-align:-3.13504pt;width:49.525002px;" version="1.1" viewbox="0 0 49.525002 14.6" width="49.525002" 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,-58.26,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-53.39,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.791529" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</我></年代pan></span><span class="list-item"><span class="list-label">(4)</年代pan><span class="list-content"><i> <svg height="14.7125" id="M89" style="vertical-align:-3.2316pt;width:37.8125px;" version="1.1" viewbox="0 0 37.8125 14.7125" width="37.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.66,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是凸的<年代vg height="13.45" id="M90" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</我></年代pan></span></span><i></i></span></p> <h4 id="lemmas">2。前题</gydF4y2Bah4> <p>为了证明我们的主要结果,我们需要一些公式和前题,我们在这一节中。</gydF4y2Bap> <p>下面的公式提出了在<一个href="#B14">14</一个>附录E,页474 - 475)。让<年代vg height="13.45" id="M91" style="vertical-align:-2.21957pt;width:63.612499px;" version="1.1" viewbox="0 0 63.612499 13.45" width="63.612499" 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="7.37677" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.580658" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.04591" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.623688" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="13.45" id="M92" style="vertical-align:-2.21957pt;width:75.837502px;" version="1.1" viewbox="0 0 75.837502 13.45" width="75.837502" 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,-67.78,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="20.4125" id="M93" style="vertical-align:-3.66795pt;width:142.33749px;" version="1.1" viewbox="0 0 142.33749 20.4125" width="142.33749" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.4125)"> <g transform="translate(72,-55.67)"> <text transform="matrix(1,0,0,-1,-71.95,59.38)"> <tspan style="font-size: 12.50px; " x="20.610001" y="0.41999999"> √</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> =</gydF4y2Batspan> </text> <g> <path d="m -39.74,70.71 40.01,0" 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,-39.74,59.38)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.913439" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.3892732" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.552772" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.579939" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.920158" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.833599" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.472931" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.513321" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.676819" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="65.928322" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.142067" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.39357" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="14.6" id="M94" style="vertical-align:-3.13504pt;width:63.412498px;" version="1.1" viewbox="0 0 63.412498 14.6" width="63.412498" 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="8.9646511" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.005039" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-42.61,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-34.74,63.5)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。然后,<年代pan class="equation" id="eq1"> <svg height="261.92499" id="M95" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 261.92499" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,261.925)"> <g transform="translate(72,137.54)"> <text transform="matrix(1,0,0,-1,67.08,59.37)"> <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="21.342621" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.506121" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.607344" y="0"> )</gydF4y2Batspan> </text> <g> <path d="m 67.08,54.27 34.78,0" 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,-1,78.6,42.4)"> <tspan style="font-size: 12.50px; " x="27.93" y="-8.75"> =</gydF4y2Batspan> <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="41.16" y="-16.969999"> ℰ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.612747" y="-16.969999"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.776245" y="-16.969999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.877472" y="-16.969999"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="68.82914" y="-16.969999"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="80.169357" y="-16.969999"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,163.88,64.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="3.47" y="-1.66"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,172.22,59.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.691025" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.854525" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.955748" y="0"> )</gydF4y2Batspan> </text> <g> <path d="m 119.76,54.27 80.59,0" 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,-1,150.78,40.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.1012239" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,160.98,43.81)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="3.48" y="-1.66"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,201.55,51.15)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.5" y="-8.2200003"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.151596" y="-8.2200003"> ℰ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.604343" y="-8.2200003"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.767841" y="-8.2200003"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.869068" y="-8.2200003"> )</gydF4y2Batspan> </text> <g> <path d="m 232.05,54.27 31.54,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,241.94,42.4)"> <tspan style="font-size: 12.50px; " x="26.32" y="-8.75"> =</gydF4y2Batspan> <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="39.549999" y="-16.969999"> ℰ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.002747" y="-16.969999"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.166248" y="-16.969999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.267471" y="-16.969999"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="67.206635" y="-16.969999"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.54686" y="-16.969999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.250381" y="-16.969999"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="97.413887" y="-16.969999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="102.51511" y="-16.969999"> )</gydF4y2Batspan> </text> <g> <path d="m 281.49,54.27 67.14,0" 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,-1,312.51,42.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.310001" y="-8.75"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-221.00999" y="23.6"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-206.31897" y="23.6"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-202.15547" y="23.6"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-197.05424" y="23.6"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-190.80275" y="23.6"> ℰ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,131.09,24.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,136.65,18.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1599998" y="0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.2612238" y="0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.20039" y="0.0099999998"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.540609" y="0.0099999998"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,176.81,24.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,182.37,18.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1599998" y="0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.2612238" y="0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.500221" y="0.0099999998"> ℰ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.965471" y="0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.128971" y="0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.230194" y="0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.169361" y="0.0099999998"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.522083" y="0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.213112" y="0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="73.37661" y="0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.477829" y="0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="84.729332" y="0.0099999998"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,279.72,24.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,285.28,18.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.129999" y="-7.2399998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1599998" y="0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.2612238" y="0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.888054" y="0.0099999998"> =</gydF4y2Batspan> </text> <g> <path d="m 315.41,21.92 7.6,0" 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,-1,316.09,10.05)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.1199999" y="-8.75"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-164.22" y="18.84"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-157.56841" y="18.84"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-147.87859" y="18.84"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-143.71507" y="18.84"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-138.61386" y="18.84"> )</gydF4y2Batspan> </text> <g> <path d="m 151.87,-13.96 29.78,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,160.88,-25.84)"> <tspan style="font-size: 12.50px; " x="68.860001" y="-16"> </gydF4y2Batspan> <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="25.440001" y="-8.75"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.467888" y="-8.75"> −</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,237.34,-4.84)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <g> <path d="m 208.12,-13.96 55.72,0" 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,-1,208.12,-27.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.352724" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,224.57,-24.51)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="3.47" y="-1.67"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,232.92,-27.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.615527" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,258.96,-22.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,265.03,-17.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-197.39999" y="35.580002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-191.01097" y="35.580002"> </gydF4y2Batspan> </text> <g> <path d="m 67.63,-56.79 11.89,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,67.83,-68.67)"> <tspan style="font-size: 12.50px; " x="16.360001" y="-8.75"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.3890328" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.59" y="-16.969999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.09132" y="-16.969999"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,108.43,-46.7)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="3.47" y="-1.67"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,116.77,-51.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.703528" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.867027" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.368347" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.607344" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,160,-46.39)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,165.56,-51.69)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <g> <path d="m 97.42,-56.79 81.97,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,98.22,-70.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.1012239" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,108.43,-67.26)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="3.47" y="-1.66"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,116.77,-70.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.703528" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.867027" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.96825" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.207249" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,159.6,-65.39)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,165.16,-70.69)"> <tspan style="font-size: 12.50px; " x="15.42" y="-10.77"> ,</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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.43" y="-18.02"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.819035" y="-18.02"> </gydF4y2Batspan> </text> <g> <path d="m 211.08,-56.79 16.92,0" 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,-1,211.08,-68.67)"> <tspan style="font-size: 12.50px; " x="21.59" y="-8.75"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.759998" y="-16"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.3890328" y="0"> </gydF4y2Batspan> </text> <g> <path d="m 245.9,-56.79 18.13,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,245.9,-68.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6018238" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.33" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.83132" y="-8.75"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,276.23,-54.92)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="3.47" y="-1.67"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,284.58,-59.92)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.691025" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.854525" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.355844" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.607344" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,327.8,-54.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,333.36,-59.91)"> <tspan style="font-size: 12.50px; " x="-184.77" y="35.41"> </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="9.6648188" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.903816" y="0"> ,</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,156.91,-98.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,164.78,-95.32)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,178.21,-90.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,185.86,-95.32)"> <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,-1,205.53,-98.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.8090558" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,220.21,-97.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,231.16,-90.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,234.64,-97.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,240.49,-87.79)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,248.83,-95.32)"> <tspan style="font-size: 12.50px; " x="-227.49001" y="31.129999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.291889" y="0"> ,</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,27.59,-129.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,37.54,-126.44)"> <tspan style="font-size: 12.50px; " x="27.75" y="4.9299998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.049999" y="-7.2399998"> </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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.703768" y="0"> =</gydF4y2Batspan> </text> <g> <path d="m 73.85,-123.32 8.97,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,73.85,-135.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,79.35,-131.76)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,84.02,-131.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,91.62,-115.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,96.5,-126.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.33" y="-9.1400003"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.706532" y="-9.1400003"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,135.47,-120.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,145.42,-117.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1599998" y="0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.0734386" y="0.0099999998"> )</gydF4y2Batspan> </text> <g> <path d="m 122.83,-123.32 34.83,0" 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,-1,131.78,-135.2)"> <tspan style="font-size: 12.50px; " x="30.549999" y="-8.75"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.720001" y="-16"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.3890328" y="0"> </gydF4y2Batspan> </text> <g> <path d="m 175.56,-123.32 18.13,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,175.56,-135.2)"> <tspan style="font-size: 12.50px; " x="19.33" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6018238" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,201.14,-129.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,211.09,-126.44)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.315935" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.019463" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.182961" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.68428" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.923279" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,268.64,-121.14)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,274.2,-126.44)"> <tspan style="font-size: 12.50px; " x="38.970001" y="-7.2399998"> 2</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="9.6648188" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.291649" y="0"> =</gydF4y2Batspan> </text> <g> <path d="m 304.73,-123.32 23.13,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,304.73,-135.2)"> <tspan style="font-size: 12.50px; " x="24.32" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.6898251" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.853324" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.954548" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,341.67,-121.14)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,345.14,-126.44)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,358.97,-121.27)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,363.85,-126.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,370.1,-129.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,380.05,-126.44)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.315935" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="84.699997" y="-90.540001"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="88.863503" y="-90.540001"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.114998" y="-90.540001"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="98.240746" y="-90.540001"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="104.49225" y="-90.540001"> )</gydF4y2Batspan> </text> </g> </g> </svg></span></p> <p><span class="statement" id="lem2.1"><span class="statement-title">引理2.1(见[<一个href="#B14">14</一个>定理1.25])。</年代pan><i>为<年代vg height="10.9375" id="M96" style="vertical-align:-0.30096pt;width:113.1375px;" version="1.1" viewbox="0 0 113.1375 10.9375" width="113.1375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9375)"> <g transform="translate(72,-63.25)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.605663" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.646053" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.398392" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.438782" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.778526" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.818909" y="0"> ∞</gydF4y2Batspan> </text> </g> </g> </svg>,让<年代vg height="13.4875" id="M97" style="vertical-align:-2.34499pt;width:111.825px;" version="1.1" viewbox="0 0 111.825 13.4875" width="111.825" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.4875)"> <g transform="translate(72,-61.21)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.140413" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.767723" y="0"> ∶</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.632589" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.796089" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.072594" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.273842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.150253" y="0"> ]</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.877586" y="0"> →</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="80.006699" y="0"> ℝ</gydF4y2Batspan> </text> </g> </g> </svg>上是连续的<年代vg height="13" id="M98" style="vertical-align:-1.95624pt;width:32.237499px;" version="1.1" viewbox="0 0 32.237499 13" width="32.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13)"> <g transform="translate(72,-61.6)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <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="10.440005" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.641253" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.517662" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>和可微的<年代vg height="13.45" id="M99" style="vertical-align:-2.21957pt;width:32.237499px;" version="1.1" viewbox="0 0 32.237499 13.45" width="32.237499" 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="10.440005" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.641253" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.517662" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,让<年代vg height="15.475" id="M100" style="vertical-align:-2.34499pt;width:55.512501px;" version="1.1" viewbox="0 0 55.512501 15.475" width="55.512501" 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,-65.3,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-61.82,62)"> <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="17.279146" y="0"> ≠</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.919199" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>在<年代vg height="13.45" id="M101" style="vertical-align:-2.21957pt;width:32.237499px;" version="1.1" viewbox="0 0 32.237499 13.45" width="32.237499" 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="10.440005" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.641253" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.517662" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。如果<年代vg height="15.5625" id="M102" style="vertical-align:-2.34499pt;width:70.025002px;" version="1.1" viewbox="0 0 70.025002 15.5625" width="70.025002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.5625)"> <g transform="translate(72,-59.55)"> <text transform="matrix(1,0,0,-1,-71.95,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.51,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.04,61.94)"> <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="15.203648" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.679482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-34.71,66.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-31.23,61.94)"> <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>增加(减少)<年代vg height="13.45" id="M103" style="vertical-align:-2.21957pt;width:32.237499px;" version="1.1" viewbox="0 0 32.237499 13.45" width="32.237499" 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="10.440005" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.641253" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.517662" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,那么是</我><年代pan class="equation" id="eq2"> <svg height="35" id="M104" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 35" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,35)"> <g transform="translate(72,-44)"> <text transform="matrix(1,0,0,-1,128.27,63.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.678522" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.555172" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.50684" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.847061" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.374588" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.538086" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.81459" y="0"> )</gydF4y2Batspan> </text> <g> <path d="m 128.27,58.27 64.98,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,130.06,46.39)"> <tspan style="font-size: 12.50px; " x="64.389999" y="-8.75"> ,</gydF4y2Batspan> <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="26.71891" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.059132" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.786224" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.949726" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.226231" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="90.720001" y="-17.1"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="101.23502" y="-17.1"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="105.39852" y="-17.1"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="112.27517" y="-17.1"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="119.21434" y="-17.1"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="130.55457" y="-17.1"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="141.08208" y="-17.1"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="145.24559" y="-17.1"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="151.12199" y="-17.1"> )</gydF4y2Batspan> </text> <g> <path d="m 220.78,58.27 64.57,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,222.56,46.39)"> <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="26.71891" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.059132" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.798729" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.962227" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.838638" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.990002" y="-8.75"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="242.19" y="-8.75"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="246.3535" y="-8.75"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="252.605" y="-8.75"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="255.73074" y="-8.75"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="261.98224" y="-8.75"> )</gydF4y2Batspan> </text> </g> </g> </svg></span><i>如果<年代vg height="15.5625" id="M105" style="vertical-align:-2.34499pt;width:70.025002px;" version="1.1" viewbox="0 0 70.025002 15.5625" width="70.025002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.5625)"> <g transform="translate(72,-59.55)"> <text transform="matrix(1,0,0,-1,-71.95,61.94)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.51,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.04,61.94)"> <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="15.203648" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.679482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-34.71,66.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-31.23,61.94)"> <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>严格单调,单调性的结论也是严格的。</我></年代pan></p> <p>(可以找到下面的引理<一个href="#B14">14</一个>定理3.21(1)和(7),引理3.32(1)和定理5.13 (2)]。</gydF4y2Bap> <p><span class="statement" id="lem2.2"><span class="statement-title">引理2.2。</年代pan><i>(1)<年代vg height="16.775" id="M106" style="vertical-align:-2.21957pt;width:123.05px;" version="1.1" viewbox="0 0 123.05 16.775" width="123.05" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.775)"> <g transform="translate(72,-58.58)"> <text transform="matrix(1,0,0,-1,-71.95,60.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ℰ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.540749" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.704248" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.805471" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.744637" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.084858" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.186081" y="0"> ′</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-22.14,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-17.27,60.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.615527" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.043749" y="0"> ]</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.207249" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.683083" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,21.51,65.84)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>是严格增加从<年代vg height="13.45" id="M107" style="vertical-align:-2.21957pt;width:32.674999px;" version="1.1" viewbox="0 0 32.674999 13.45" width="32.674999" 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"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.867746" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>到<年代vg height="13.45" id="M108" style="vertical-align:-2.21957pt;width:46.525002px;" version="1.1" viewbox="0 0 46.525002 13.45" width="46.525002" 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="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.75282" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.228654" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.480154" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.693905" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.945404" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>;</我><br><i>(2)<年代vg height="14.2125" id="M109" style="vertical-align:-2.21957pt;width:49.287498px;" version="1.1" viewbox="0 0 49.287498 14.2125" width="49.287498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.2125)"> <g transform="translate(72,-60.63)"> <text transform="matrix(1,0,0,-1,-71.95,62.9)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.1012239" y="0"> ′</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.24,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.67,62.9)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.615527" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是严格递减的<年代vg height="13.45" id="M110" style="vertical-align:-2.21957pt;width:32.674999px;" version="1.1" viewbox="0 0 32.674999 13.45" width="32.674999" 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"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.867746" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>到<年代vg height="13.45" id="M111" style="vertical-align:-2.21957pt;width:46.525002px;" version="1.1" viewbox="0 0 46.525002 13.45" width="46.525002" 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="4.1634989" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.218071" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.693905" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.945404" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>当且仅当<年代vg height="12.3" id="M112" style="vertical-align:-1.29163pt;width:45.974998px;" version="1.1" viewbox="0 0 45.974998 12.3" width="45.974998" 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="8.6520758" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.943966" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.4198" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>;</我><br><i>(3)<年代vg height="13.625" id="M113" style="vertical-align:-2.21957pt;width:69.75px;" version="1.1" viewbox="0 0 69.75 13.625" width="69.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.625)"> <g transform="translate(72,-61.1)"> <text transform="matrix(1,0,0,-1,-71.95,63.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.615527" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.043749" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.659275" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.272644" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.436142" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.537365" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>严格递减<年代vg height="20.4125" id="M114" style="vertical-align:-2.55817pt;width:59.337502px;" version="1.1" viewbox="0 0 59.337502 20.4125" width="59.337502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.4125)"> <g transform="translate(72,-55.67)"> <text transform="matrix(1,0,0,-1,-71.95,58.27)"> <tspan style="font-size: 12.50px; " x="15.62" y="-0.69"> √</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> </text> <g> <path d="m -44.72,70.71 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,-44.72,58.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.978834" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>并严格增加<年代vg height="20.4125" id="M115" style="vertical-align:-2.55817pt;width:59.337502px;" version="1.1" viewbox="0 0 59.337502 20.4125" width="59.337502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.4125)"> <g transform="translate(72,-55.67)"> <text transform="matrix(1,0,0,-1,-71.95,58.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1599998" y="-0.69"> √</gydF4y2Batspan> </text> <g> <path d="m -56.18,70.71 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,-56.18,58.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.978834" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.180082" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.431581" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>;</我><br><i>(4)<年代vg height="14.2" id="M116" style="vertical-align:-2.73372pt;width:75.637497px;" version="1.1" viewbox="0 0 75.637497 14.2" width="75.637497" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.2)"> <g transform="translate(72,-60.64)"> <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="7.6018238" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.765323" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.866547" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.818214" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.158436" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.63427" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.885769" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.30077" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>是严格递减的<年代vg height="13.45" id="M117" style="vertical-align:-2.21957pt;width:32.674999px;" version="1.1" viewbox="0 0 32.674999 13.45" width="32.674999" 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"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.867746" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>到<年代vg height="14.2" id="M118" style="vertical-align:-2.73372pt;width:57.862499px;" version="1.1" viewbox="0 0 57.862499 14.2" width="57.862499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.2)"> <g transform="translate(72,-60.64)"> <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="4.1634989" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.092081" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.34358" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.758579" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.010078" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</我></年代pan></p> <p><span class="statement" id="lem2.3"><span class="statement-title">引理2.3。</年代pan><i>让<年代vg height="20.4125" id="M119" style="vertical-align:-2.55817pt;width:85.099998px;" version="1.1" viewbox="0 0 85.099998 20.4125" width="85.099998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.4125)"> <g transform="translate(72,-55.67)"> <text transform="matrix(1,0,0,-1,-71.95,58.27)"> <tspan style="font-size: 12.50px; " x="34.5" y="-0.69"> √</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.604944" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.768442" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.019943" y="0"> /</gydF4y2Batspan> </text> <g> <path d="m -25.84,70.71 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,-25.84,58.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.452748" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.704248" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="13.45" id="M120" style="vertical-align:-2.21957pt;width:70.625px;" version="1.1" viewbox="0 0 70.625 13.45" width="70.625" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="14.6" id="M121" style="vertical-align:-3.13504pt;width:63.412498px;" version="1.1" viewbox="0 0 63.412498 14.6" width="63.412498" 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="8.9646511" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.005039" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-42.61,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-34.74,63.5)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。然后,<年代vg height="16.9" id="M122" style="vertical-align:-2.29482pt;width:241.89999px;" version="1.1" viewbox="0 0 241.89999 16.9" width="241.89999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.9)"> <g transform="translate(72,-58.48)"> <text transform="matrix(1,0,0,-1,-71.95,60.81)"> <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="22.867987" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.494818" y="0"> ≡</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.535206" y="0"> {</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.536648" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.13847" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.614304" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.777802" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.029305" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="82.644829" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.808327" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="92.309647" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="96.473145" y="0"> ]</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="100.63665" y="0"> }</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,34.7,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,42.35,60.81)"> <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="15.50372" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.118048" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.281546" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.382771" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.546268" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.022102" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.63763" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.250996" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.414497" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="65.915817" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.079315" y="0"> ]</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,116.59,65.82)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>是严格递减的<年代vg height="13.45" id="M123" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>到<年代vg height="16.75" id="M124" style="vertical-align:-2.21957pt;width:180.0125px;" version="1.1" viewbox="0 0 180.0125 16.75" width="180.0125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.75)"> <g transform="translate(72,-58.6)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.392393" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.555893" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.657116" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-38.13,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-33.26,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.09136" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.25486" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.356085" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-3.74,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,1.14,60.86)"> <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,-1,13.95,65.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,18.82,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6393328" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.890833" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.506359" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.669859" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.771084" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,58.76,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,63.63,60.86)"> <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></年代pan></p> <p><span class="statement" id="proof1"><span class="statement-title"><i class="statement-title">证明。</我></年代pan>很明显<年代vg height="16.75" id="M125" style="vertical-align:-2.21957pt;width:134.1375px;" version="1.1" viewbox="0 0 134.1375 16.75" width="134.1375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.75)"> <g transform="translate(72,-58.6)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.1772022" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-52.36,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-45.86,60.86)"> <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> </text> <text transform="matrix(1,0,0,-1,-18.59,65.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-13.71,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6393328" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.890833" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.506359" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.669859" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.771084" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,26.22,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,31.1,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="16.75" id="M126" style="vertical-align:-2.21957pt;width:152.55px;" version="1.1" viewbox="0 0 152.55 16.75" width="152.55" 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,-71.95,60.86)"> <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="21.905256" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.483032" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.109863" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.150253" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.18,66.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-2.7,60.86)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,10.73,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,15.6,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.09136" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.25486" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.356085" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,45.12,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。区分<年代vg height="13.45" id="M127" style="vertical-align:-2.21957pt;width:33.912498px;" version="1.1" viewbox="0 0 33.912498 13.45" width="33.912498" 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="22.867987" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,一个<年代pan class="equation" id="EEq2.1"> <svg height="113.35" id="M128" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 113.35" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,113.35)"> <g transform="translate(72,18.68)"> <text transform="matrix(1,0,0,-1,76.32,56.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,85.75,61.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,91.31,56.25)"> <tspan style="font-size: 12.50px; " x="41.5" y="-7.25"> 4</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="14.678522" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.317856" y="0"> =</gydF4y2Batspan> </text> <g> <path d="m 126.87,59.37 18.13,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,126.87,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.5893211" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.32" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.934326" y="-8.7600002"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.097826" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.199051" y="-8.7600002"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,167.23,61.42)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,172.11,56.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.691025" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.854525" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.355844" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.607344" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,215.34,61.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,218.81,56.25)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,232.64,61.42)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,245.59,53.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.79" y="-2.52"> ℰ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,259.76,61.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,265.32,56.25)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.59148" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.944204" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,298.77,61.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,303.64,56.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,316.26,61.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,321.81,56.25)"> <tspan style="font-size: 12.50px; " x="13.83" y="2.52"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-198.91" y="32.549999"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-184.91" y="25.290001"> </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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <g> <path d="m 135.44,26.83 10.53,0" 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,-1,135.44,14.95)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.72" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.34" y="-8.7600002"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.503498" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.004818" y="-8.7600002"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,173.61,28.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,184.48,23.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,197.09,29.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,202.65,23.71)"> <tspan style="font-size: 12.50px; " x="15.91" y="4.9200001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.65" y="0.0099999998"> ℰ</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="9.6648188" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.110001" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.273499" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.774818" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.713985" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.054207" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,269.21,28.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="3.48" y="-1.66"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,277.56,23.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.530001" y="4.9099998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-163.92999" y="33.419998"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-144.75" y="26.17"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.7" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.863499" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.364819" y="-0.0099999998"> )</gydF4y2Batspan> </text> <g> <path d="m 126.87,-6.59 18.13,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,126.87,-18.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.5893211" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.32" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.935528" y="-8.75"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.099026" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.600346" y="-8.75"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,172.64,-4.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,183.5,-9.72)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,196.12,-4.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,199.59,-9.71)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,213.42,-4.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,224.29,-9.72)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,233.47,-12.84)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,240.43,-9.71)"> <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="14.678522" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.930021" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="224.32001" y="-33.240002"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="228.48351" y="-33.240002"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="234.735" y="-33.240002"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="237.86075" y="-33.240002"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="244.11224" y="-33.240002"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>在哪里<年代vg height="19.762501" id="M129" style="vertical-align:-3.13504pt;width:439.04999px;" version="1.1" viewbox="0 0 439.04999 19.762501" width="439.04999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.7625)"> <g transform="translate(72,-56.19)"> <text transform="matrix(1,0,0,-1,-71.95,59.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,56.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.9,59.37)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.317616" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.358006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.521503" y="0"> ℰ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-10.99,64.68)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-7.52,59.37)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.603985" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.944204" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,25.93,64.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,30.81,59.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,43.42,64.68)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,46.9,59.37)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.828318" y="0"> ]</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.991817" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.607344" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.770844" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.272163" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,91.33,64.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,96.21,59.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6018238" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.765323" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.866547" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,117.25,64.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,124.9,59.37)"> <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,-1,143.85,64.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,148.72,59.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ℰ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.540749" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.704248" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.205568" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.144733" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.484955" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,195.71,64.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="3.48" y="-1.66"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,204.06,59.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.615527" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.280346" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.443846" y="0"> ]</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.607344" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,247.28,64.68)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,250.76,59.37)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,264.59,64.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,269.46,59.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> 4</gydF4y2Batspan> </text> </g> </g> </svg>。<gydF4y2Babr>从引理<一个href="#lem2.2">2。2</一个>(1)和(2),我们清楚地看到这一点<年代vg height="14.6" id="M130" style="vertical-align:-3.13504pt;width:40.012501px;" version="1.1" viewbox="0 0 40.012501 14.6" width="40.012501" 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> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.9,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>严格递减<年代vg height="13.45" id="M131" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。此外,<年代pan class="equation" id="EEq2.2"> <svg height="81.875" id="M132" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 81.875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,81.875)"> <g transform="translate(72,-6.5)"> <text transform="matrix(1,0,0,-1,17.66,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> 米</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,13.26,44.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.8307676" y="0"> →</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="18.387953" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,36.03,48.49)"> <tspan style="font-size: 6.25px; " x="0" y="0"> +</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,40.81,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,49.99,50.65)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,56.95,53.79)"> <tspan style="font-size: 12.50px; " x="34.360001" y="2.52"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.150002" y="0.0099999998"> ℰ</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="14.678522" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.317856" y="0"> =</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,105.48,59.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,111.04,53.79)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.191385" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.544109" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,143.69,58.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,148.56,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,161.18,59.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,166.74,53.79)"> <tspan style="font-size: 12.50px; " x="13.42" y="2.52"> </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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.299999" y="0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.915527" y="0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.079025" y="0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.180248" y="0.0099999998"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,213.08,58.96)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,217.95,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.614327" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.777826" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.879049" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,239,58.96)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,246.65,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.54" y="-7.25"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,266.79,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <g> <path d="m 259.19,56.91 12.48,0" 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,-1,262.3,45.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.64" y="-3.8299999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.379999" y="-8.75"> ℰ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832748" y="-8.75"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.996246" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.097469" y="-8.75"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.049137" y="-8.75"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.389359" y="-8.75"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,324.8,58.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="3.47" y="-1.66"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,333.14,53.78)"> <tspan style="font-size: 12.50px; " x="28.129999" y="4.9200001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.950001" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.691025" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.854525" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.955748" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,381.71,59.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,385.18,53.79)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,398.61,58.96)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,79.28,15.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.23" y="-7.25"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,100.11,27.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <g> <path d="m 92.51,18.43 12.47,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,95.62,6.55)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.56" y="-8.75"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,118.8,20.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,122.27,15.31)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,135.7,20.48)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,140.57,15.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,149.75,12.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,156.71,15.31)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.50372" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="308.04001" y="-20.809999"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="312.20349" y="-20.809999"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="318.45499" y="-20.809999"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="321.58075" y="-20.809999"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="327.83224" y="-20.809999"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>在哪里<年代vg height="17.924999" id="M133" style="vertical-align:-3.13504pt;width:357.875px;" version="1.1" viewbox="0 0 357.875 17.924999" width="357.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.925)"> <g transform="translate(72,-57.66)"> <text transform="matrix(1,0,0,-1,-71.95,60.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,57.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.9,60.84)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.891554" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.931942" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.54747" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.710968" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.812191" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.975693" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.139191" y="0"> ℰ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="68.516441" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="72.129807" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="76.293304" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="81.394531" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="88.333694" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="99.686417" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,46.89,65.84)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,51.76,60.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.615527" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.228893" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.392393" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.493616" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.657116" y="0"> ]</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.596279" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.936501" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.552029" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="64.165398" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="68.328896" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="73.430122" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.59362" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="81.757118" y="0"> ℰ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="91.134369" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.297867" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="100.39909" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="107.35076" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="118.69098" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="123.79221" y="0"> ′</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,179.17,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,184.04,60.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.615527" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.880251" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.043749" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>也是严格减少吗<年代vg height="13.45" id="M134" style="vertical-align:-2.21957pt;width:32.674999px;" version="1.1" viewbox="0 0 32.674999 13.45" width="32.674999" 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"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.867746" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。因此,<年代vg height="21.125" id="M135" style="vertical-align:-3.13504pt;width:143.5125px;" version="1.1" viewbox="0 0 143.5125 21.125" width="143.5125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,21.125)"> <g transform="translate(72,-55.1)"> <text transform="matrix(1,0,0,-1,-71.95,58.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,55.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.9,58.27)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.891554" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.931942" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-19.78,55.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-14.91,58.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1700001" y="-0.69"> √</gydF4y2Batspan> </text> <g> <path d="m 0.86,70.71 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,-1,0.86,58.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.978834" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.605663" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.646053" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>为<年代vg height="20.4125" id="M136" style="vertical-align:-2.55817pt;width:85.099998px;" version="1.1" viewbox="0 0 85.099998 20.4125" width="85.099998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.4125)"> <g transform="translate(72,-55.67)"> <text transform="matrix(1,0,0,-1,-71.95,58.27)"> <tspan style="font-size: 12.50px; " x="34.5" y="-0.69"> √</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.604944" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.768442" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.019943" y="0"> /</gydF4y2Batspan> </text> <g> <path d="m -25.84,70.71 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,-25.84,58.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.452748" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.704248" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="16.475" id="M137" style="vertical-align:-3.13504pt;width:130.5px;" version="1.1" viewbox="0 0 130.5 16.475" width="130.5" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.475)"> <g transform="translate(72,-58.82)"> <text transform="matrix(1,0,0,-1,-71.95,61.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.77,58.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.9,61.99)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.317616" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.358006" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-15.36,58.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-10.48,61.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-0.07,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,6.43,61.99)"> <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"> 0</gydF4y2Batspan> </text> </g> </g> </svg>为<年代vg height="13.45" id="M138" style="vertical-align:-2.21957pt;width:70.625px;" version="1.1" viewbox="0 0 70.625 13.45" width="70.625" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。<gydF4y2Babr>因此,的单调性<年代vg height="13.45" id="M139" style="vertical-align:-2.21957pt;width:33.912498px;" version="1.1" viewbox="0 0 33.912498 13.45" width="33.912498" 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="22.867987" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>遵循从(<一个href="#EEq2.1">2。3</一个>)和(<一个href="#EEq2.2">2。4</一个>)这一事实<年代vg height="14.6" id="M140" style="vertical-align:-3.13504pt;width:67.212502px;" version="1.1" viewbox="0 0 67.212502 14.6" width="67.212502" 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> </text> <text transform="matrix(1,0,0,-1,-62.77,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.9,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.317616" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.358006" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>为<年代vg height="13.45" id="M141" style="vertical-align:-2.21957pt;width:70.625px;" version="1.1" viewbox="0 0 70.625 13.45" width="70.625" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</年代pan></p> <h4 id="proofs-of-theorems-1.1-and-1.2">3所示。定理的证明<一个href="#thm1.1">1.1</一个>和<一个href="#thm1.2">1.2</一个></h4> <p><span class="statement" id="proofthm1"><span class="statement-title"><i class="statement-title">定理的证明<一个href="#thm1.1">1.1</一个>。</我></年代pan>(1)部分,清楚<年代vg height="15.5" id="M142" style="vertical-align:-2.34499pt;width:62.337502px;" version="1.1" viewbox="0 0 62.337502 15.5" width="62.337502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.5)"> <g transform="translate(72,-59.6)"> <text transform="matrix(1,0,0,-1,-71.95,61.99)"> <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"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-54.6,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.1,61.99)"> <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"> 1</gydF4y2Batspan> </text> </g> </g> </svg>。让<年代vg height="16.637501" id="M143" style="vertical-align:-2.29482pt;width:103.3875px;" version="1.1" viewbox="0 0 103.3875 16.637501" width="103.3875" 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,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.604944" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-43.72,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-32.85,61.03)"> <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="11.75282" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.228654" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.392153" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.643654" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.17094" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.334438" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg>为<年代vg height="13.45" id="M144" style="vertical-align:-2.21957pt;width:70.625px;" version="1.1" viewbox="0 0 70.625 13.45" width="70.625" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,然后<年代vg height="16.75" id="M145" style="vertical-align:-2.21957pt;width:88.224998px;" version="1.1" viewbox="0 0 88.224998 16.75" width="88.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.75)"> <g transform="translate(72,-58.6)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.764123" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.927622" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.454908" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.081738" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.122128" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.285625" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.386848" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.862682" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-13.98,65.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-10.5,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-6.34,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="20.4125" id="M146" style="vertical-align:-2.55817pt;width:85.099998px;" version="1.1" viewbox="0 0 85.099998 20.4125" width="85.099998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.4125)"> <g transform="translate(72,-55.67)"> <text transform="matrix(1,0,0,-1,-71.95,58.27)"> <tspan style="font-size: 12.50px; " x="34.5" y="-0.69"> √</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.604944" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.768442" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.019943" y="0"> /</gydF4y2Batspan> </text> <g> <path d="m -25.84,70.71 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,-25.84,58.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.452748" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.704248" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<年代pan class="equation" id="EEq3.1"> <svg height="83.487503" id="M147" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 83.487503" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,83.4875)"> <g transform="translate(72,-5.21)"> <text transform="matrix(1,0,0,-1,86.97,62.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </gydF4y2Batspan> </text> <g> <path d="m 84.26,58.4 17.18,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,84.26,46.52)"> <tspan style="font-size: 12.50px; " x="21.85" y="-8.75"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.759998" y="-16"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </gydF4y2Batspan> </text> <g> <path d="m 119.34,58.4 7.6,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,119.34,46.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.8000002" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.901224" y="-8.75"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,138.34,60.27)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="3.48" y="-1.67"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,146.69,55.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,159.31,60.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,162.78,55.28)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,176.21,60.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,181.08,55.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.33" y="-8.2200003"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.981598" y="-8.2200003"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.821217" y="-8.2200003"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.984715" y="-8.2200003"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.512241" y="-8.2200003"> )</gydF4y2Batspan> </text> <g> <path d="m 207.41,58.4 34.36,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,216,46.52)"> <tspan style="font-size: 12.50px; " x="30.440001" y="-8.75"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.34" y="-16"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </gydF4y2Batspan> </text> <g> <path d="m 259.67,58.4 7.6,0" 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,-1,259.67,46.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.8000002" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.639622" y="-8.75"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.80312" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.330647" y="-8.75"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.569641" y="-8.75"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,310.87,60.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,314.34,55.28)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,327.77,60.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,332.64,55.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="132.11" y="-0.75999999"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="136.2735" y="-0.75999999"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="142.52499" y="-0.75999999"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="145.65074" y="-0.75999999"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="151.90225" y="-0.75999999"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-205.91" y="37.02"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-202.43417" y="37.02"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-198.95833" y="37.02"> 米</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,119.87,10.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.8220158" y="0"> →</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="18.387953" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="24.383072" y="0"> ∞</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,152.36,18.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.678522" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.206047" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.845383" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.985794" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.461628" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.937462" y="0"> 米</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,197.25,10.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.0236478" y="0"> →</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="14.589584" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,217.41,26.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,222.52,31.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,227.39,26.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,240,31.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,245.56,26.48)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> </text> <g> <path d="m 217.41,21.38 41.58,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,217.41,7.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,222.52,10.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="3.47" y="-1.66"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,230.86,7.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.691025" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.854525" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.955748" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.799999" y="-10.78"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.827885" y="-10.78"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.392441" y="-10.78"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="64.970222" y="-10.78"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="233.89" y="-10.73"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="238.0535" y="-10.73"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="244.30499" y="-10.73"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="247.43076" y="-10.73"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="253.68225" y="-10.73"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>利用(<一个href="#EEq3.1">3.1</一个>),我们有<年代pan class="equation" id="EEq3.3"> <svg height="37.912498" id="M149" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 37.912498" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,37.9125)"> <g transform="translate(72,-41.67)"> <text transform="matrix(1,0,0,-1,100.43,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,110.95,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="3.6320801" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="9.6272001" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,125.46,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,133.9,66.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,139.45,61.04)"> <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="14.691025" y="0"> )</gydF4y2Batspan> </text> <g> <path d="m 100.43,55.81 57.88,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,115.52,43.93)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.8396206" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.00312" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.530645" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.459999" y="-8.75"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.487885" y="-8.75"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,181.95,49.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,188.91,52.69)"> <tspan style="font-size: 12.50px; " x="36.240002" y="-7.2399998"> 4</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="14.691025" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.317856" y="0"> ≡</gydF4y2Batspan> </text> <g> <path d="m 224.47,55.81 7.6,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,224.47,43.93)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.8000002" y="-8.75"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,245.89,57.99)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,251.44,52.69)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.50372" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.207249" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.370747" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.47197" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.411137" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.763859" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.952606" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="213.31" y="0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="217.4735" y="0.0099999998"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="223.72501" y="0.0099999998"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="226.85075" y="0.0099999998"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="233.10225" y="0.0099999998"> )</gydF4y2Batspan> </text> </g> </g> </svg></span><br>它遵循从引理<一个href="#lem2.2">2。2</一个>(3),<gydF4y2Ba年代vg height="14.6" id="M150" style="vertical-align:-3.13504pt;width:37.212502px;" version="1.1" viewbox="0 0 37.212502 14.6" width="37.212502" 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> </text> <text transform="matrix(1,0,0,-1,-65.01,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.14,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是严格增加从<年代vg height="13.45" id="M151" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>到<年代vg height="13.45" id="M152" style="vertical-align:-2.21957pt;width:63.5px;" version="1.1" viewbox="0 0 63.5 13.45" width="63.5" 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="13.215671" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.555893" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.744637" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.958389" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.536167" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。然后,从(<一个href="#EEq3.1">3.2</一个>)和(<一个href="#EEq3.3">3.3</一个>),我们知道<年代vg height="13.4875" id="M153" style="vertical-align:-2.34499pt;width:10.675px;" version="1.1" viewbox="0 0 10.675 13.4875" width="10.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.4875)"> <g transform="translate(72,-61.21)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>是严格增加从<年代vg height="13.45" id="M154" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>到<年代vg height="13.45" id="M155" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>为<年代vg height="11.25" id="M156" style="vertical-align:-1.29163pt;width:33.849998px;" version="1.1" viewbox="0 0 33.849998 11.25" width="33.849998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.25)"> <g transform="translate(72,-63)"> <text transform="matrix(1,0,0,-1,-71.95,64.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。如果<年代vg height="8.8500004" id="M157" style="vertical-align:-0.30096pt;width:33.849998px;" version="1.1" viewbox="0 0 33.849998 8.8500004" width="33.849998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,8.85)"> <g transform="translate(72,-64.92)"> <text transform="matrix(1,0,0,-1,-71.95,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,然后存在<年代vg height="14.75" id="M158" style="vertical-align:-3.25793pt;width:76.724998px;" version="1.1" viewbox="0 0 76.724998 14.75" width="76.724998" 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> </text> <text transform="matrix(1,0,0,-1,-62.42,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-54.08,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.203888" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.455387" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.656635" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.234413" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>这样<年代vg height="13.4875" id="M159" style="vertical-align:-2.34499pt;width:10.675px;" version="1.1" viewbox="0 0 10.675 13.4875" width="10.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.4875)"> <g transform="translate(72,-61.21)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>严格递减<年代vg height="14.75" id="M160" style="vertical-align:-3.25793pt;width:42.862499px;" version="1.1" viewbox="0 0 42.862499 14.75" width="42.862499" 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="4.1634989" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.8,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-41.92,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>并严格增加<年代vg height="14.75" id="M161" style="vertical-align:-3.25793pt;width:49.525002px;" version="1.1" viewbox="0 0 49.525002 14.75" width="49.525002" 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="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.26,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-53.39,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.791529" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。此外,不平等<年代vg height="13.9625" id="M162" style="vertical-align:-2.21957pt;width:69.150002px;" version="1.1" viewbox="0 0 69.150002 13.9625" width="69.150002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.9625)"> <g transform="translate(72,-60.83)"> <text transform="matrix(1,0,0,-1,-71.95,63.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.764123" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.927622" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.454908" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.081738" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.122128" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-21.29,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>适用于所有<年代vg height="13.45" id="M163" style="vertical-align:-2.21957pt;width:70.625px;" version="1.1" viewbox="0 0 70.625 13.45" width="70.625" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>与最好的常数<年代vg height="7.1875" id="M164" style="vertical-align:-0.13794pt;width:33.849998px;" version="1.1" viewbox="0 0 33.849998 7.1875" width="33.849998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1875)"> <g transform="translate(72,-66.25)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。<gydF4y2Babr>(2)部分,表示<年代vg height="20.4125" id="M165" style="vertical-align:-3.66795pt;width:90.400002px;" version="1.1" viewbox="0 0 90.400002 20.4125" width="90.400002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.4125)"> <g transform="translate(72,-55.67)"> <text transform="matrix(1,0,0,-1,-71.95,59.38)"> <tspan style="font-size: 12.50px; " x="20.610001" y="0.41999999"> √</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> =</gydF4y2Batspan> </text> <g> <path d="m -39.74,70.71 40.01,0" 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,-39.74,59.38)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.913439" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.3892732" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.552772" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.579939" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.920158" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.833599" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。区分<年代vg height="13.6125" id="M166" style="vertical-align:-2.34499pt;width:30.137501px;" version="1.1" viewbox="0 0 30.137501 13.6125" width="30.137501" 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="19.84226" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,我们得到<年代pan class="equation" id="EEq3.4"> <svg height="43.537498" id="M167" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 43.537498" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,43.5375)"> <g transform="translate(72,-37.17)"> <text transform="matrix(1,0,0,-1,73.09,50.28)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,79.75,55.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,85.3,50.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1700001" y="0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.685023" y="0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.324356" y="0.0099999998"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.57" y="-10.57"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.821499" y="-10.57"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,139.73,66.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,143.21,60.86)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,157.03,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,163.99,60.86)"> <tspan style="font-size: 12.50px; " x="81.040001" y="2.52"> </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="16.466452" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.806671" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.05817" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.309673" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.785507" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.487835" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.651333" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.752556" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.691719" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.889999" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="90.365837" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="96.617332" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="104.94433" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,275.19,57.73)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,285.15,60.86)"> <tspan style="font-size: 12.50px; " x="48.330002" y="2.52"> </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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.0036" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.083656" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.410656" y="0"> </gydF4y2Batspan> </text> <g> <path d="m 120.87,53.41 218.47,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,208.55,39.43)"> <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="16.466452" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.806671" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.05817" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,246.78,44.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,340.53,50.28)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="124.22" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="128.3835" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="134.63499" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="137.76074" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="144.01225" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span><br>让<年代vg height="17.887501" id="M168" style="vertical-align:-3.13504pt;width:319.27499px;" version="1.1" viewbox="0 0 319.27499 17.887501" width="319.27499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.8875)"> <g transform="translate(72,-57.69)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.8,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.92,60.86)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.317616" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.358006" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.609505" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-8.69,66.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-5.22,60.86)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,8.61,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,13.48,60.86)"> <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="16.466452" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.806671" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.05817" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.221672" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.697506" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.311832" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.47533" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.576553" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="65.528221" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="76.868446" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="81.031944" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="84.507774" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="90.759277" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="101.17428" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,120.91,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,128.78,60.86)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.083656" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.498657" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.412094" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<年代vg height="17.887501" id="M169" style="vertical-align:-3.13504pt;width:109.4875px;" version="1.1" viewbox="0 0 109.4875 17.887501" width="109.4875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.8875)"> <g transform="translate(72,-57.69)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.8,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.92,60.86)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.317616" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.358006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.521503" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.824455" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.164677" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="67.416176" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,10.67,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>,然后<年代vg height="14.6" id="M170" style="vertical-align:-3.13504pt;width:110.725px;" version="1.1" viewbox="0 0 110.725 14.6" width="110.725" 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> </text> <text transform="matrix(1,0,0,-1,-65.8,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.92,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.041828" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.082218" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-24.68,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-19.81,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.041828" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.082218" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="14.625" id="M171" style="vertical-align:-3.13504pt;width:130.58749px;" version="1.1" viewbox="0 0 130.58749 14.625" width="130.58749" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.625)"> <g transform="translate(72,-60.3)"> <text transform="matrix(1,0,0,-1,-71.95,63.47)"> <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="23.455627" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.082458" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.122849" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-22.67,60.35)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-17.79,63.47)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.330118" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,9.69,60.35)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,14.56,63.47)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<年代pan class="equation" id="EEq3.5"> <svg height="42.174999" id="M172" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 42.174999" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,42.175)"> <g transform="translate(72,-38.26)"> <text transform="matrix(1,0,0,-1,69.49,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,75.64,57.79)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.8699999" y="-9.2200003"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,86.07,62.01)"> <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="14.678522" y="0"> )</gydF4y2Batspan> </text> <g> <path d="m 69.49,54.9 35.43,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,69.49,43.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,75.64,38.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.8699999" y="-8.1499996"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,86.07,43.03)"> <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="14.678522" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.52" y="-8.7399998"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.56039" y="-8.7399998"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,127.78,48.65)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,134.74,51.78)"> <tspan style="font-size: 12.50px; " x="59.52" y="-7.25"> 2</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="14.691025" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.317856" y="0"> ≡</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.133911" y="0"> −</gydF4y2Batspan> </text> <g> <path d="m 184.42,54.9 25.92,0" 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,-1,184.42,40.92)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.614327" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.777826" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.879049" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,205.47,46.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,213.62,49.26)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.79" y="-2.51"> ℰ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,227.79,57.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,233.34,51.78)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.603985" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.944204" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,266.79,56.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,271.67,51.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,284.28,57.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,289.84,51.78)"> <tspan style="font-size: 12.50px; " x="13.83" y="2.52"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.700001" y="0.0099999998"> </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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,323.16,57.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,326.63,51.78)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,340.46,56.95)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,345.33,51.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="119.42" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="123.5835" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="129.83499" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="132.96075" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="139.21225" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>很明显,<年代vg height="14.75" id="M173" style="vertical-align:-3.25793pt;width:36.224998px;" version="1.1" viewbox="0 0 36.224998 14.75" width="36.224998" 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> </text> <text transform="matrix(1,0,0,-1,-65.8,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.92,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>严格增加<年代vg height="13.45" id="M174" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。然后,(<一个href="#EEq3.5">3.5</一个>)和引理<一个href="#lem2.1">2。1</一个>导致的结论<年代vg height="13.6375" id="M175" style="vertical-align:-2.34499pt;width:34.650002px;" version="1.1" viewbox="0 0 34.650002 13.6375" width="34.650002" 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="23.455627" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>严格增加<年代vg height="13.45" id="M176" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。因此,<年代vg height="13.6125" id="M177" style="vertical-align:-2.34499pt;width:30.137501px;" version="1.1" viewbox="0 0 30.137501 13.6125" width="30.137501" 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="19.84226" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是凸的<年代vg height="13.45" id="M178" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。<gydF4y2Babr>(3)部分,如果<年代vg height="12.3" id="M179" style="vertical-align:-1.29163pt;width:32.224998px;" version="1.1" viewbox="0 0 32.224998 12.3" width="32.224998" 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="7.37677" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>,然后<年代vg height="20.4125" id="M180" style="vertical-align:-2.55817pt;width:60.362499px;" version="1.1" viewbox="0 0 60.362499 20.4125" width="60.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.4125)"> <g transform="translate(72,-55.67)"> <text transform="matrix(1,0,0,-1,-71.95,58.27)"> <tspan style="font-size: 12.50px; " x="20.610001" y="-0.69"> √</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> ≥</gydF4y2Batspan> </text> <g> <path d="m -39.74,70.71 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,-39.74,58.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>。让<年代vg height="14.7125" id="M181" style="vertical-align:-3.13504pt;width:162.8px;" version="1.1" viewbox="0 0 162.8 14.7125" width="162.8" 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"> ℎ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.74,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.86,63.41)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.317616" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.358006" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.833839" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.085339" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.500336" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-0.1,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,7.77,63.41)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.083656" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.498657" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>和<年代vg height="14.7125" id="M182" style="vertical-align:-3.13504pt;width:111.825px;" version="1.1" viewbox="0 0 111.825 14.7125" width="111.825" 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"> ℎ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.74,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.86,63.41)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.317616" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.358006" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.660957" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.001179" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.252678" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.728508" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,然后<年代vg height="14.7125" id="M183" style="vertical-align:-3.13504pt;width:113.3875px;" version="1.1" viewbox="0 0 113.3875 14.7125" width="113.3875" 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"> ℎ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.74,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.86,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.041828" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.082218" y="0"> ℎ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-22.56,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-17.68,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.041828" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.082218" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="14.7125" id="M184" style="vertical-align:-3.13504pt;width:130.05px;" version="1.1" viewbox="0 0 130.05 14.7125" width="130.05" 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"> ℎ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.214231" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.37773" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.905016" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.531845" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.572235" y="0"> ℎ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-24.16,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-19.28,63.41)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.330118" y="0"> ℎ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,9.26,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,14.14,63.41)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<年代pan class="equation" id="EEq3.6"> <svg height="40.737499" id="M185" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 40.737499" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,40.7375)"> <g transform="translate(72,-39.41)"> <text transform="matrix(1,0,0,-1,121.65,61.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ℎ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,128.87,58.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.8699999" y="-8.3800001"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,139.3,61.7)"> <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="14.691025" y="0"> )</gydF4y2Batspan> </text> <g> <path d="m 121.65,55.68 36.51,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,121.65,42.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ℎ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,128.87,39.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.8699999" y="-8.3900003"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,139.3,42.6)"> <tspan style="font-size: 12.50px; " x="23.52" y="-9.96"> =</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="14.691025" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.759998" y="-18.26"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.011501" y="-18.26"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,194.92,66.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,198.4,60.86)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,212.23,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,217.1,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.165659" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.329159" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.430382" y="0"> )</gydF4y2Batspan> </text> <g> <path d="m 176.06,55.68 67.64,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,189,41.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.0146627" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.367388" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,219.9,46.88)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,248.37,52.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.73" y="-8.3000002"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.981501" y="-8.3000002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.671326" y="-8.3000002"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.834824" y="-8.3000002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.936047" y="-8.3000002"> )</gydF4y2Batspan> </text> <g> <path d="m 261.61,55.68 30.36,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,261.61,43.8)"> <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="26.193785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.559999" y="-8.7600002"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="203.14" y="-8.7600002"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="207.3035" y="-8.7600002"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="213.55499" y="-8.7600002"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="216.68076" y="-8.7600002"> 6</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="222.93225" y="-8.7600002"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>在哪里<年代vg height="13.45" id="M186" style="vertical-align:-2.21957pt;width:33.912498px;" version="1.1" viewbox="0 0 33.912498 13.45" width="33.912498" 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="22.867987" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>引理的定义是<一个href="#lem2.2">2。2</一个>。<gydF4y2Babr>因此,<年代vg height="13.5625" id="M187" style="vertical-align:-2.21957pt;width:31.4625px;" version="1.1" viewbox="0 0 31.4625 13.5625" width="31.4625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.5625)"> <g transform="translate(72,-61.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ℎ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.214231" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.37773" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.905016" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>严格增加<年代vg height="13.45" id="M188" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>为<年代vg height="12.3" id="M189" style="vertical-align:-1.29163pt;width:32.224998px;" version="1.1" viewbox="0 0 32.224998 12.3" width="32.224998" 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="7.37677" y="0"> ≥</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>之前的前题<一个href="#lem2.1">2。1</一个>和<一个href="#lem2.2">2。2</一个>在一起(<一个href="#EEq3.6">3.6</一个>)。此外,利用洛必达法则<年代vg height="15.7125" id="M190" style="vertical-align:-2.21957pt;width:145.9875px;" version="1.1" viewbox="0 0 145.9875 15.7125" width="145.9875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.7125)"> <g transform="translate(72,-59.43)"> <text transform="matrix(1,0,0,-1,-71.95,61.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ℎ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.214231" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.37773" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-54.32,66.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-47.83,61.7)"> <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"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.918718" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.534245" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.697746" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.798969" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.962467" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,16.76,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,20.23,61.7)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.428222" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.904057" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="15.7125" id="M191" style="vertical-align:-2.21957pt;width:136.71249px;" version="1.1" viewbox="0 0 136.71249 15.7125" width="136.71249" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.7125)"> <g transform="translate(72,-59.43)"> <text transform="matrix(1,0,0,-1,-71.95,61.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ℎ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.214231" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.37773" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.955507" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.582338" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.622726" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.224552" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.840076" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="67.003578" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="72.104797" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="76.268303" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="79.744133" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,20.42,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,23.89,61.7)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</年代pan></p> <p><span class="statement" id="proofthm2"><span class="statement-title"><i class="statement-title">定理的证明<一个href="#thm1.2">1.2</一个>。</我></年代pan>区分<年代vg height="14.7125" id="M192" style="vertical-align:-3.2316pt;width:37.8125px;" version="1.1" viewbox="0 0 37.8125 14.7125" width="37.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.66,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>给了<年代pan class="equation" id="EEq3.7"> <svg height="102.8125" id="M193" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 102.8125" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,102.8125)"> <g transform="translate(72,10.25)"> <text transform="matrix(1,0,0,-1,-8.51,49.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,1.03,54.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="-1.8099999" y="8.1300001"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,6.59,49.61)"> <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="14.691025" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.317856" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.560001" y="-9.1300001"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.035835" y="-9.1300001"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.287334" y="-9.1300001"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.61433" y="-9.1300001"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,66.47,55.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,76.42,58.75)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.083656" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.423161" y="0"> </gydF4y2Batspan> </text> <g> <path d="m 42.15,52.73 82.61,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,68.5,40.85)"> <tspan style="font-size: 12.50px; " x="103.5" y="0.98000002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="112.96" y="-16.82"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.302952" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.643173" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.23" y="-8.75"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.570221" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="79.53463" y="-8.75"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="90.874855" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="118.81" y="-19.33"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="125.0615" y="-19.33"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,206.17,65.49)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,209.65,60.18)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,223.48,65.35)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,230.44,60.18)"> <tspan style="font-size: 12.50px; " x="38.220001" y="2.51"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="91.050003" y="2.51"> </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="16.453947" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.806671" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.05817" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.16" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.635834" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.325661" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.489159" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="68.590385" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="79.705551" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="96.900002" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="100.37583" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="106.62733" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="114.95433" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,351.66,57.05)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,361.61,60.18)"> <tspan style="font-size: 12.50px; " x="48.34" y="2.51"> </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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.0036" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.083656" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.410656" y="0"> </gydF4y2Batspan> </text> <g> <path d="m 181.46,52.73 234.34,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,277.08,38.75)"> <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="16.453947" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.806671" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.05817" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,315.3,43.92)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,416.99,39.87)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-388.07001" y="37"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-374.84" y="26.43"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-368.5885" y="26.43"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,61.02,18.75)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,64.49,13.45)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,78.32,18.62)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,83.2,13.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.639999" y="2.51"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.61" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.773499" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.07645" y="-0.0099999998"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.416672" y="-0.0099999998"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.668171" y="-0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.907169" y="-0.0099999998"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.383003" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.085335" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.248833" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.350052" y="-0.0099999998"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="82.289223" y="-0.0099999998"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="99.5" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="102.97584" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="109.22733" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="117.55433" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,207.01,10.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,216.96,13.45)"> <tspan style="font-size: 12.50px; " x="48.34" y="2.52"> </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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.083656" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.423161" y="0"> </gydF4y2Batspan> </text> <g> <path d="m 42.15,5.99 229,0" 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,-1,135.1,-7.98)"> <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="16.466452" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.806671" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.05817" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,173.33,-2.81)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,275.12,2.87)"> <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="16.528967" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="189.63" y="-24.879999"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="193.7935" y="-24.879999"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="200.045" y="-24.879999"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="203.17075" y="-24.879999"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="209.42226" y="-24.879999"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>让<年代pan class="equation" id="EEq3.8"> <svg height="43.537498" id="M194" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 43.537498" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,43.5375)"> <g transform="translate(72,-37.17)"> <text transform="matrix(1,0,0,-1,63.15,50.28)"> <tspan style="font-size: 12.50px; " x="49.68" y="-8.0600004"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.115887" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.806911" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.446243" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.470001" y="-10.58"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.7215" y="-10.58"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,136.49,66.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,139.96,60.86)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,153.79,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,158.67,60.86)"> <tspan style="font-size: 12.50px; " x="79.519997" y="2.52"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="87.089996" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="98.43" y="2.52"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.603024" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.766523" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.069475" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.409695" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.661198" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.912697" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.388531" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.090858" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="70.254356" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.355583" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="103.22" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="106.69583" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="112.94733" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="121.27433" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,286.2,57.73)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,296.16,60.86)"> <tspan style="font-size: 12.50px; " x="48.330002" y="2.52"> </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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.0036" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.083656" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.410656" y="0"> </gydF4y2Batspan> </text> <g> <path d="m 112.83,53.41 236.45,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,209.51,39.43)"> <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="16.453947" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.806671" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.05817" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,247.73,44.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,350.48,50.28)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="114.27" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="118.4335" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="124.685" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="127.81075" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="134.06226" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span> <svg height="17.887501" id="M195" style="vertical-align:-3.13504pt;width:337.13751px;" version="1.1" viewbox="0 0 337.13751 17.887501" width="337.13751" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.8875)"> <g transform="translate(72,-57.69)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-61.03,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.16,60.86)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.317616" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.358006" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.609505" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-3.93,66.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-0.45,60.86)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,13.37,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,18.25,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5272856" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.690785" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.993736" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.333958" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.585457" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.748959" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.224792" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.839119" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.002617" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="68.103844" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.043007" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.383224" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="90.546722" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="94.02256" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="100.27406" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="110.70156" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,135.21,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,143.07,60.86)"> <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="8.0769377" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.016103" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.356323" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.832157" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.083656" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.498657" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.412094" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="17.887501" id="M196" style="vertical-align:-3.13504pt;width:115.45px;" version="1.1" viewbox="0 0 115.45 17.887501" width="115.45" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.8875)"> <g transform="translate(72,-57.69)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-61.03,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.16,60.86)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.317616" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.358006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.521503" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.824455" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.164677" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="67.416176" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,15.43,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>,然后<年代vg height="14.6" id="M197" style="vertical-align:-3.13504pt;width:143.925px;" version="1.1" viewbox="0 0 143.925 14.6" width="143.925" 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="10.915119" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.078618" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.605904" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.232735" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.273125" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-16.75,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-11.88,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.854284" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.330118" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,20.37,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,25.24,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="14.6" id="M198" style="vertical-align:-3.13504pt;width:122.6375px;" version="1.1" viewbox="0 0 122.6375 14.6" width="122.6375" 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> </text> <text transform="matrix(1,0,0,-1,-61.03,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.16,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.041828" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.082218" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-15.16,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-10.28,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.041828" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.082218" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>,<年代pan class="equation" id="EEq3.9"> <svg height="42.75" id="M199" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 42.75" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,42.75)"> <g transform="translate(72,-37.8)"> <text transform="matrix(1,0,0,-1,70.16,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,81.08,57.79)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.8699999" y="-9.2200003"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,91.51,62.01)"> <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="14.691025" y="0"> )</gydF4y2Batspan> </text> <g> <path d="m 70.16,54.9 40.21,0" 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,-1,70.16,42.18)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,81.08,37.85)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.8699999" y="-9.2200003"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,91.51,42.19)"> <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="14.691025" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.52" y="-9.5799999"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.56039" y="-9.5799999"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,137.99,48.65)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,144.95,51.78)"> <tspan style="font-size: 12.50px; " x="47.799999" y="-7.25"> 4</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="14.678522" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.317856" y="0"> ≡</gydF4y2Batspan> </text> <g> <path d="m 180.51,54.9 30.73,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,180.51,43.02)"> <tspan style="font-size: 12.50px; " x="34" y="-3.8299999"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.740002" y="-8.75"> ℰ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.5893211" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.291649" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.455149" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.556372" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.200001" y="-8.7600002"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.363499" y="-8.7600002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.864819" y="-8.7600002"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="67.803986" y="-8.7600002"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="79.144203" y="-8.7600002"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,265.17,56.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="3.47" y="-1.66"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,273.51,51.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.530001" y="4.9200001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.349998" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.7" y="-0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.863499" y="-0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.364819" y="-0.0099999998"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,322.48,57.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,325.95,51.78)"> <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="9.6648188" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,339.78,56.95)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,344.66,51.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="120.09" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="124.2535" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="130.505" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="133.63075" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="139.88225" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span><br>显然,这<年代vg height="14.75" id="M200" style="vertical-align:-3.25793pt;width:42.174999px;" version="1.1" viewbox="0 0 42.174999 14.75" width="42.174999" 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> </text> <text transform="matrix(1,0,0,-1,-61.03,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.16,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>严格增加<年代vg height="13.45" id="M201" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>遵循从引理<一个href="#lem2.2">2。2</一个>(1)和(2)。然后,从(<一个href="#EEq3.8">3.8</一个>)和(<一个href="#EEq3.9">3.9</一个>)一起引理<一个href="#lem2.1">2。1</一个>,我们知道<年代vg height="13.45" id="M202" style="vertical-align:-2.21957pt;width:36.087502px;" version="1.1" viewbox="0 0 36.087502 13.45" width="36.087502" 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="10.915119" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.078618" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.605904" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>严格增加<年代vg height="13.45" id="M203" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。此外,洛必达法则导致<年代pan class="equation" id="EEq3.10"> <svg height="23.9" id="M204" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 23.9" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,23.9)"> <g transform="translate(72,-52.88)"> <text transform="matrix(1,0,0,-1,96.45,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> 米</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,94.44,55.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.8307676" y="0"> →</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="18.387953" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,117.21,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.115887" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.806911" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.446243" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.486633" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.776844" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.940342" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.041565" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.280563" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="104.28752" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="107.76336" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="111.23919" y="0"> 米</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,217.63,55.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.8307676" y="0"> →</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="18.387953" y="0"> ∞</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,244.13,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.115887" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.806911" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.446243" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.486633" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.526783" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.690281" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="68.791504" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.043007" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="214.36" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="218.5235" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="224.77499" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="227.90074" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="234.15225" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="240.40375" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span><br>(1)部分,如果<年代vg height="13.45" id="M205" style="vertical-align:-2.21957pt;width:53.987499px;" version="1.1" viewbox="0 0 53.987499 13.45" width="53.987499" 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="8.6520758" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.657116" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.820614" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.921841" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,然后从(<一个href="#EEq3.7">3.7</一个>)和(<一个href="#EEq3.8">3.8</一个>),我们知道<年代vg height="14.75" id="M206" style="vertical-align:-3.2316pt;width:69.525002px;" version="1.1" viewbox="0 0 69.525002 14.75" width="69.525002" 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,-71.95,63.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.22,60.35)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.66,63.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ′</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.6133671" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.776866" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.304152" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.943485" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.971371" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>为<年代vg height="13.45" id="M207" style="vertical-align:-2.21957pt;width:70.625px;" version="1.1" viewbox="0 0 70.625 13.45" width="70.625" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<年代vg height="14.7125" id="M208" style="vertical-align:-3.2316pt;width:37.8125px;" version="1.1" viewbox="0 0 37.8125 14.7125" width="37.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.66,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>严格递减<年代vg height="13.45" id="M209" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。此外,<年代pan class="equation" id="EEq3.11"> <svg height="26.475" id="M210" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 26.475" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,26.475)"> <g transform="translate(72,-50.82)"> <text transform="matrix(1,0,0,-1,57.74,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> 米</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,55.74,53.34)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.8220158" y="0"> →</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="18.387953" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,78.51,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,86.24,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,92.89,61.14)"> <tspan style="font-size: 12.50px; " x="34.360001" y="2.52"> </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="14.678522" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.317856" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.150002" y="0.0099999998"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.401501" y="0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.099998" y="7.1054274e-015"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="64.263496" y="7.1054274e-015"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.364723" y="7.1054274e-015"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.603722" y="7.1054274e-015"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,181.12,66.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,186.68,61.14)"> <tspan style="font-size: 12.50px; " x="26.59" y="2.52"> </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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.50372" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.979553" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.16" y="0.0099999998"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.487717" y="0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.676464" y="0.0099999998"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="79.683426" y="0.0099999998"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.159256" y="0.0099999998"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.635094" y="0.0099999998"> 米</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,262.5,53.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.8220158" y="0"> →</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="18.387953" y="0"> ∞</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,289,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,296.72,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,303.38,61.14)"> <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="14.678522" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.317856" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.358246" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.922798" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.500576" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="155.11" y="0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="159.2735" y="0.0099999998"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="165.52499" y="0.0099999998"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="168.65074" y="0.0099999998"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="174.90225" y="0.0099999998"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="181.15375" y="0.0099999998"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>如果<年代vg height="13.45" id="M211" style="vertical-align:-2.21957pt;width:53.987499px;" version="1.1" viewbox="0 0 53.987499 13.45" width="53.987499" 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="8.6520758" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.657116" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.820614" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.921841" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,然后<年代vg height="14.7125" id="M212" style="vertical-align:-3.2316pt;width:37.8125px;" version="1.1" viewbox="0 0 37.8125 14.7125" width="37.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.66,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>也是严格减少吗<年代vg height="13.45" id="M213" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<年代vg height="16.9625" id="M214" style="vertical-align:-3.2316pt;width:208.3875px;" version="1.1" viewbox="0 0 208.3875 16.9625" width="208.3875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.9625)"> <g transform="translate(72,-58.43)"> <text transform="matrix(1,0,0,-1,-71.95,61.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.22,58.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.66,61.7)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-49.24,66.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-42.75,61.7)"> <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="19.667219" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.830717" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.082218" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.697746" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.861244" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.962467" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.125965" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,26,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,29.48,61.7)"> <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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.428222" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.904057" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> ]</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.432543" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.785267" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.749916" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.913418" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.014641" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,从引理<一个href="#lem2.2">2。2</一个>(4)<gydF4y2Ba年代pan class="equation" id="EEq3.12"> <svg height="58.8125" id="M215" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 58.8125" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,58.8125)"> <g transform="translate(72,-24.95)"> <text transform="matrix(1,0,0,-1,47.81,56.53)"> <tspan style="font-size: 12.50px; " x="0" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> 米</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,43.95,48.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.8220158" y="0"> →</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="18.3792" y="0"> ∞</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,70.44,56.53)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,78.17,53.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,84.82,56.54)"> <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="14.691025" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.317856" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.221672" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.697506" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.17334" y="0"> 米</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,119.19,48.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.8220158" y="0"> →</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="18.3792" y="0"> ∞</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,156.56,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <g> <path d="m 146.88,59.66 29.9,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,146.88,47.78)"> <tspan style="font-size: 12.50px; " x="33.18" y="-6.2399998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.010002" y="-6.2399998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="80.860001" y="-8.75"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.290449" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.643173" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.970001" y="-8.75"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.534554" y="-8.75"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.861553" y="-8.75"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.337387" y="-8.75"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="64.58889" y="-8.75"> g</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,233.25,61.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,236.72,54.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.919998" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.77" y="-2.51"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.970221" y="-2.51"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.221722" y="-2.51"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,283.99,61.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,287.47,54.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="80.550003" y="7.1054274e-015"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.51"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.970221" y="-2.51"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.02" y="-2.52"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.183498" y="-2.52"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.284721" y="-2.52"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.223888" y="-2.52"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.56411" y="-2.52"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.039944" y="-2.52"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="68.291443" y="-2.52"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="76.630943" y="-2.52"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-180.32001" y="25.27"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-168.29211" y="25.27"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-157.23946" y="25.27"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-153.07596" y="25.27"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-147.97473" y="25.27"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-141.03557" y="25.27"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-129.69536" y="25.27"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-121.35585" y="25.27"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-117.88002" y="25.27"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-111.62852" y="25.27"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-103.28902" y="25.27"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-94.261848" y="25.27"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-82.921631" y="25.27"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-79.445793" y="25.27"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-73.194298" y="25.27"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-64.854797" y="25.27"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-60.941357" y="25.27"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="171.02" y="8.6700001"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="175.1835" y="8.6700001"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="181.435" y="8.6700001"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="184.56075" y="8.6700001"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="190.81226" y="8.6700001"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="197.06375" y="8.6700001"> )</gydF4y2Batspan> </text> </g> </g> </svg></span><br>因此,不平等(<一个href="#EEq1.10">1.10</一个>)和(<一个href="#EEq1.11">1.11</一个>从()之前<一个href="#EEq3.12">3.12</一个>)的单调性<年代vg height="14.7125" id="M216" style="vertical-align:-3.2316pt;width:37.8125px;" version="1.1" viewbox="0 0 37.8125 14.7125" width="37.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.66,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>当<年代vg height="13.45" id="M217" style="vertical-align:-2.21957pt;width:53.987499px;" version="1.1" viewbox="0 0 53.987499 13.45" width="53.987499" 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="8.6520758" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.657116" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.820614" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.921841" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。<gydF4y2Babr>(2)部分,如果<年代vg height="13.45" id="M218" style="vertical-align:-2.21957pt;width:53.662498px;" version="1.1" viewbox="0 0 53.662498 13.45" width="53.662498" 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="8.6520758" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.394552" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.558052" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.659275" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,那<年代vg height="14.7125" id="M219" style="vertical-align:-3.2316pt;width:37.8125px;" version="1.1" viewbox="0 0 37.8125 14.7125" width="37.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.66,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>严格增加<年代vg height="13.45" id="M220" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>遵循从(<一个href="#EEq3.7">3.7</一个>)和(<一个href="#EEq3.8">3.8</一个>)。请注意,<年代pan class="equation" id="EEq3.13"> <svg height="26.475" id="M221" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 26.475" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,26.475)"> <g transform="translate(72,-50.82)"> <text transform="matrix(1,0,0,-1,57.74,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.9516678" y="0"> 米</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,55.74,53.34)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.8220158" y="0"> →</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="18.387953" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,78.51,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,86.24,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,92.89,61.14)"> <tspan style="font-size: 12.50px; " x="34.360001" y="2.52"> </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="14.678522" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.317856" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.150002" y="0.0099999998"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.401501" y="0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.099998" y="7.1054274e-015"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="64.263496" y="7.1054274e-015"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.364723" y="7.1054274e-015"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="75.603722" y="7.1054274e-015"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,181.12,66.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,186.68,61.14)"> <tspan style="font-size: 12.50px; " x="26.59" y="2.52"> </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="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.50372" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.979553" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.16" y="0.0099999998"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.487717" y="0.0099999998"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.676464" y="0.0099999998"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="79.683426" y="0.0099999998"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.159256" y="0.0099999998"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.635094" y="0.0099999998"> 米</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,262.5,53.54)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="8.8220158" y="0"> →</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="18.387953" y="0"> ∞</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,289,61.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,296.72,58.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,303.38,61.14)"> <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="14.678522" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.317856" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.358246" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.922798" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.500576" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="155.11" y="0.0099999998"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="159.2735" y="0.0099999998"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="165.52499" y="0.0099999998"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="168.65074" y="0.0099999998"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="174.90225" y="0.0099999998"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="181.15375" y="0.0099999998"> )</gydF4y2Batspan> </text> </g> </g> </svg></span><br>因此,不平等(<一个href="#EEq1.12">1.12</一个>)和(<一个href="#EEq1.13">1.13</一个>)根据(<一个href="#EEq3.13">3.13</一个>)的单调性<年代vg height="14.7125" id="M222" style="vertical-align:-3.2316pt;width:37.8125px;" version="1.1" viewbox="0 0 37.8125 14.7125" width="37.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.66,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>当<年代vg height="13.45" id="M223" style="vertical-align:-2.21957pt;width:53.662498px;" version="1.1" viewbox="0 0 53.662498 13.45" width="53.662498" 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="8.6520758" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.394552" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.558052" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.659275" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。<gydF4y2Babr>(3)部分,如果<年代vg height="13.45" id="M224" style="vertical-align:-2.21957pt;width:101.0375px;" version="1.1" viewbox="0 0 101.0375 13.45" width="101.0375" 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="8.7020884" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.865587" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.96681" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.593641" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.634029" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.298611" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.338997" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="67.30365" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.467148" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="76.568375" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,然后从(<一个href="#EEq3.7">3.7</一个>)和(<一个href="#EEq3.8">3.8</一个>)的单调性<年代vg height="13.45" id="M225" style="vertical-align:-2.21957pt;width:36.087502px;" version="1.1" viewbox="0 0 36.087502 13.45" width="36.087502" 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="10.915119" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.078618" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.605904" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>我们清楚地看到,存在<年代vg height="14.6" id="M226" style="vertical-align:-3.13504pt;width:76.724998px;" version="1.1" viewbox="0 0 76.724998 14.6" width="76.724998" 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> </text> <text transform="matrix(1,0,0,-1,-62.42,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-54.08,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.203888" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.455387" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.656635" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.234413" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,这样<年代vg height="16.5875" id="M227" style="vertical-align:-3.2316pt;width:65.912498px;" version="1.1" viewbox="0 0 65.912498 16.5875" width="65.912498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5875)"> <g transform="translate(72,-58.73)"> <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,-62.41,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="-1.8099999" y="8.1300001"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.94,62)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.330118" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.358006" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>为<年代vg height="14.6" id="M228" style="vertical-align:-3.13504pt;width:74.162498px;" version="1.1" viewbox="0 0 74.162498 14.6" width="74.162498" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-21.76,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-16.89,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<年代vg height="16.5875" id="M229" style="vertical-align:-3.2316pt;width:65.912498px;" version="1.1" viewbox="0 0 65.912498 16.5875" width="65.912498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5875)"> <g transform="translate(72,-58.73)"> <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,-62.41,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="-1.8099999" y="8.1300001"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.94,62)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.330118" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.358006" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>为<年代vg height="14.6" id="M230" style="vertical-align:-3.13504pt;width:80.8125px;" version="1.1" viewbox="0 0 80.8125 14.6" width="80.8125" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-33.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-28.35,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.779026" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。因此,<年代vg height="14.7125" id="M231" style="vertical-align:-3.2316pt;width:37.8125px;" version="1.1" viewbox="0 0 37.8125 14.7125" width="37.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.22,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.66,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>严格递减<年代vg height="14.6" id="M232" style="vertical-align:-3.13504pt;width:42.862499px;" version="1.1" viewbox="0 0 42.862499 14.6" width="42.862499" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.8,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-41.92,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>并严格增加<年代vg height="14.6" id="M233" style="vertical-align:-3.13504pt;width:49.525002px;" version="1.1" viewbox="0 0 49.525002 14.6" width="49.525002" 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,-58.26,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-53.39,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.791529" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。<gydF4y2Babr>(4)遵循从部分(<一个href="#EEq3.7">3.7</一个>)和(<一个href="#EEq3.8">3.8</一个>)的单调性<年代vg height="13.45" id="M234" style="vertical-align:-2.21957pt;width:36.087502px;" version="1.1" viewbox="0 0 36.087502 13.45" width="36.087502" 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="10.915119" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.078618" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.605904" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</年代pan></p> <p>采取<年代vg height="10.825" id="M235" style="vertical-align:-0.11285pt;width:32.224998px;" version="1.1" viewbox="0 0 32.224998 10.825" width="32.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.825)"> <g transform="translate(72,-63.34)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>在定理<一个href="#thm1.2">1.2</一个>,我们得到下面的推论。</gydF4y2Bap> <p><span class="statement" id="coro3.1"><span class="statement-title">推论3.1。</年代pan><i>让<年代vg height="7.1750002" id="M236" style="vertical-align:-0.1254pt;width:7.9749999px;" version="1.1" viewbox="0 0 7.9749999 7.1750002" width="7.9749999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.175)"> <g transform="translate(72,-66.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>和<年代vg height="10.7375" id="M237" style="vertical-align:-0.13794pt;width:7.4749999px;" version="1.1" viewbox="0 0 7.4749999 10.7375" width="7.4749999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.7375)"> <g transform="translate(72,-63.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>被定义为在定理<一个href="#thm1.2">1.2</一个>,<gydF4y2Ba年代vg height="10.8875" id="M238" style="vertical-align:-0.33858pt;width:37.674999px;" version="1.1" viewbox="0 0 37.674999 10.8875" width="37.674999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8875)"> <g transform="translate(72,-63.29)"> <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="8.6520758" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> ℝ</gydF4y2Batspan> </text> </g> </g> </svg>,<年代vg height="14.825" id="M239" style="vertical-align:-3.2316pt;width:225.7625px;" version="1.1" viewbox="0 0 225.7625 14.825" width="225.7625" 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,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.01,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.44,63.41)"> <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="13.690785" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.317616" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.358006" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.885288" y="0"> {</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.88673" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.050228" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.526062" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.777561" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="73.192558" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="79.956688" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="84.120186" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.647469" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="97.810966" y="0"> ]</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="101.97446" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="105.4503" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="109.6138" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="121.91676" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="133.26947" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="139.52098" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="146.46014" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="157.80037" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="162.98911" y="0"> }</gydF4y2Batspan> </text> </g> </g> </svg>。然后,</我><年代pan class="list"><span class="list-item"><span class="list-label">(1)</年代pan><span class="list-content"><i>如果<年代vg height="8.8500004" id="M240" style="vertical-align:-0.30096pt;width:35.5px;" version="1.1" viewbox="0 0 35.5 8.8500004" width="35.5" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,8.85)"> <g transform="translate(72,-64.92)"> <text transform="matrix(1,0,0,-1,-71.95,65.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,然后<年代vg height="14.7125" id="M241" style="vertical-align:-3.2316pt;width:36.825001px;" version="1.1" viewbox="0 0 36.825001 14.7125" width="36.825001" 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,-65.01,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.44,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是严格递减的<年代vg height="13.45" id="M242" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>到<年代vg height="13.45" id="M243" style="vertical-align:-2.21957pt;width:74.212502px;" version="1.1" viewbox="0 0 74.212502 13.45" width="74.212502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.728054" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.305832" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.50708" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.559254" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.911976" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.100719" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>;如果<年代vg height="7.2249999" id="M244" style="vertical-align:-0.16302pt;width:35.5px;" version="1.1" viewbox="0 0 35.5 7.2249999" width="35.5" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.225)"> <g transform="translate(72,-66.22)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,然后<年代vg height="14.7125" id="M245" style="vertical-align:-3.2316pt;width:36.825001px;" version="1.1" viewbox="0 0 36.825001 14.7125" width="36.825001" 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,-65.01,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.44,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是严格递减的<年代vg height="13.45" id="M246" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>到<年代vg height="14.2" id="M247" style="vertical-align:-2.73372pt;width:122.6125px;" version="1.1" viewbox="0 0 122.6125 14.2" width="122.6125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.2)"> <g transform="translate(72,-60.64)"> <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="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.540989" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.88121" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.220711" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.696545" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.948044" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.363045" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.614544" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="65.828293" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="74.88047" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.220688" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.82251" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>;</我></年代pan></span><span class="list-item"><span class="list-label">(2)</年代pan><span class="list-content"><i>如果<年代vg height="12.175" id="M248" style="vertical-align:-1.29163pt;width:33.349998px;" version="1.1" viewbox="0 0 33.349998 12.175" width="33.349998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.175)"> <g transform="translate(72,-62.26)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> ≤</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,然后<年代vg height="14.7125" id="M249" style="vertical-align:-3.2316pt;width:36.825001px;" version="1.1" viewbox="0 0 36.825001 14.7125" width="36.825001" 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,-65.01,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.44,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是严格增加从<年代vg height="13.45" id="M250" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>到<年代vg height="13.45" id="M251" style="vertical-align:-2.21957pt;width:63.5px;" version="1.1" viewbox="0 0 63.5 13.45" width="63.5" 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="13.215671" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.555893" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.744637" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.958389" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.536167" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>;</我></年代pan></span><span class="list-item"><span class="list-label">(3)</年代pan><span class="list-content"><i>如果<年代vg height="10.9375" id="M252" style="vertical-align:-0.30096pt;width:62.237499px;" version="1.1" viewbox="0 0 62.237499 10.9375" width="62.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9375)"> <g transform="translate(72,-63.25)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.3397408" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.380131" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.044708" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.085098" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,然后存在<年代vg height="14.6" id="M253" style="vertical-align:-3.13504pt;width:76.724998px;" version="1.1" viewbox="0 0 76.724998 14.6" width="76.724998" 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> </text> <text transform="matrix(1,0,0,-1,-62.42,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-54.08,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.203888" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.455387" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.656635" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.234413" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,这样<年代vg height="14.7125" id="M254" style="vertical-align:-3.2316pt;width:36.825001px;" version="1.1" viewbox="0 0 36.825001 14.7125" width="36.825001" 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,-65.01,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.44,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>严格递减<年代vg height="14.6" id="M255" style="vertical-align:-3.13504pt;width:42.862499px;" version="1.1" viewbox="0 0 42.862499 14.6" width="42.862499" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-46.8,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-41.92,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>并严格增加<年代vg height="14.6" id="M256" style="vertical-align:-3.13504pt;width:49.525002px;" version="1.1" viewbox="0 0 49.525002 14.6" width="49.525002" 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,-58.26,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-53.39,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.791529" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>;</我></年代pan></span><span class="list-item"><span class="list-label">(4)</年代pan><span class="list-content"><i> <svg height="14.7125" id="M257" style="vertical-align:-3.2316pt;width:36.825001px;" version="1.1" viewbox="0 0 36.825001 14.7125" width="36.825001" 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,-65.01,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.44,63.5)"> <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="13.690785" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是凸的<年代vg height="13.45" id="M258" style="vertical-align:-2.21957pt;width:39.337502px;" version="1.1" viewbox="0 0 39.337502 13.45" width="39.337502" 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"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.194025" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</我></年代pan></span></span><i></i></span></p> <p>不平等(<一个href="#EEq1.11">1.11</一个>)和(<一个href="#EEq1.13">1.13</一个>)导致以下推论,改善不平等(<一个href="#EEq1.6">1.6</一个>)- (<一个href="#EEq1.8">1.9</一个>)。</gydF4y2Bap> <p><span class="statement" id="coro3.2"><span class="statement-title">推论3.2。</年代pan><i>让<年代vg height="7.1750002" id="M259" style="vertical-align:-0.1254pt;width:7.9749999px;" version="1.1" viewbox="0 0 7.9749999 7.1750002" width="7.9749999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.175)"> <g transform="translate(72,-66.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>和<年代vg height="10.7375" id="M260" style="vertical-align:-0.13794pt;width:7.4749999px;" version="1.1" viewbox="0 0 7.4749999 10.7375" width="7.4749999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.7375)"> <g transform="translate(72,-63.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>被定义为在定理<一个href="#thm1.2">1.2</一个>,然后下面的不平等</我><年代pan class="equation" id="eq3"> <svg height="19.549999" id="M261" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 19.549999" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.55)"> <g transform="translate(72,-56.36)"> <text transform="matrix(1,0,0,-1,39.04,60.97)"> <tspan style="font-size: 12.50px; " x="25.700001" y="2.51"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.889999" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> 米</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> 一个</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.278666" y="0"> x</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,77.49,65.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="9.5834398" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="15.57856" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="19.954559" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="22.868977" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="25.783392" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="31.104609" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="37.099728" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="40.014145" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="42.928558" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="48.249775" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="54.244896" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="60.082481" y="0"> l</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="62.515537" y="0"> o</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="66.891533" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="72.720367" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="77.096367" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="80.01078" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="82.44384" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="89.112862" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="92.027283" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,172.94,60.97)"> <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,-1,183.71,65.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.11344" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="7.0278559" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="13.69688" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="19.691999" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="22.606417" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="26.982416" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="29.415472" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="36.084496" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="38.998913" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,226.12,58.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.67" y="-2.51"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.697886" y="-2.51"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.550011" y="-2.51"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.713509" y="-2.51"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.241035" y="-2.51"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.867867" y="-2.51"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="65.908257" y="-2.51"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,297.6,65.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="9.5834398" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="15.57856" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="19.954559" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="22.868977" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="25.783392" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="31.104609" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="37.099728" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="40.014145" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="42.928558" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="47.322063" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="53.317184" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="58.638401" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="61.552814" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="63.98587" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="70.6549" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="73.569313" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,374.58,60.97)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.910004" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="88.073502" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="94.324997" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="97.450752" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="103.70225" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="109.95375" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span><i>适用于所有<年代vg height="13.45" id="M262" style="vertical-align:-2.21957pt;width:70.625px;" version="1.1" viewbox="0 0 70.625 13.45" width="70.625" 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="12.990617" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.031006" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.446007" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.659756" y="0"> ∞</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</我></年代pan></p> <h4 id="acknowledgments">确认</gydF4y2Bah4> <p>这项研究受到了中国自然科学基金会(授予号。11071059,11071059,11171307)和教育部创新团队基础浙江省(批准号T200924)。</gydF4y2Bap> </div> <div class="xml-content"> <h4 class="references" id="references">引用</gydF4y2Bah4> <ol> <li id="B1">f·鲍曼<我>介绍椭圆函数的应用程序</我>,多佛出版物,纽约,纽约,美国,1961年。<年代pan class="reflinks"></span></li> <li id="B2">o . Lehto和k . i。维尔塔宁<我>共平面的映射</我>施普林格,纽约,纽约,美国,第二版,1973年版。<年代pan class="reflinks"></span></li> <li id="B3">b . c . Berndt<我>Ramanujan的笔记本。第三部分</我>施普林格,纽约,纽约,美国,1991年。<年代pan class="reflinks"></span></li> <li id="B4">a . Beurling和l . Ahlfors”共下的边界对应的映射,<我>数学学报</我>卷,96年,第142 - 125页,1956年。<年代pan class="reflinks">视图:<一个href="https://doi.org/10.1007/BF02392360">出版商的网站</一个><年代pan class="sep">|</年代pan><a href="https://scholar.google.com/scholar_lookup?title=The%20boundary%20correspondence%20under%20quasiconformal%20mappings&author=A. Beurling &author=L. Ahlfors&publication_year=1956" target="_blank">谷歌学术搜索</一个><年代pan class="sep">|</年代pan><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A0072.29602">Zentralblatt数学</一个></年代pan></li> <li id="B5">s . b . Agard和f·w·格林”角度和共映射,<我>伦敦数学学会学报》上。第三个系列</我>,14卷21,1965页。<年代pan class="reflinks">视图:<一个href="https://scholar.google.com/scholar_lookup?title=Angles%20and%20quasiconformal%20mappings&author=S. B. Agard &author=F. W. Gehring&publication_year=1965" target="_blank">谷歌学术搜索</一个><年代pan class="sep">|</年代pan><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A0131.07902">Zentralblatt数学</一个></年代pan></li> <li id="B6">s . l .秋,“有些失真的性质<我>K</gydF4y2Ba我>共映射和一种改进的估计Mori的常数,”<我>《数学学报》</我>,35卷,不。4,第504 - 492页,1992年(中国)。<年代pan class="reflinks">视图:<一个href="https://scholar.google.com/scholar_lookup?title=Some%20distortion%20properties%20of%20K-quasiconformal%20mappings%20and%20an%20improved%20estimate%20of%20Mori's%20constant&author=S. L. Qiu&publication_year=1992" target="_blank">谷歌学术搜索</一个></年代pan></li> <li id="B7">g·d·安德森和m . k . Vamanamurthy”共失真函数的一些性质。”<我>新西兰数学杂志》上</我>,24卷,不。1、1 - 15,1995页。<年代pan class="reflinks">视图:<一个href="https://scholar.google.com/scholar_lookup?title=Some%20properties%20of%20quasiconformal%20distortion%20functions&author=G. D. Anderson &author=M. K. Vamanamurthy&publication_year=1995" target="_blank">谷歌学术搜索</一个><年代pan class="sep">|</年代pan><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A0857.30019">Zentralblatt数学</一个></年代pan></li> <li id="B8">g·j·马丁,“失真定理共映射,肖特基定理和正则的动作,“<我>美国数学学会学报》上</我>,卷125,不。4、1095 - 1103年,1997页。<年代pan class="reflinks">视图:<一个href="https://doi.org/10.1090/S0002-9939-97-03677-0">出版商的网站</一个><年代pan class="sep">|</年代pan><a href="https://scholar.google.com/scholar_lookup?title=The%20distortion%20theorem%20for%20quasiconformal%20mappings,%20Schottky's%20theorem%20and%20holomorphic%20motions&author=G. J. Martin&publication_year=1997" target="_blank">谷歌学术搜索</一个><年代pan class="sep">|</年代pan><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A0870.30017">Zentralblatt数学</一个></年代pan></li> <li id="B9">g·d·安德森,m . k . Vamanamurthy和m . Vuorinen“失真函数平面共映射,”<我>以色列《数学</我>,卷62,不。1,硕士论文,1988页。<年代pan class="reflinks">视图:<一个href="https://doi.org/10.1007/BF02767349">出版商的网站</一个><年代pan class="sep">|</年代pan><a href="https://scholar.google.com/scholar_lookup?title=Distortion%20functions%20for%20plane%20quasiconformal%20mappings&author=G. D. Anderson&author=M. K. Vamanamurthy&author=&author=M. Vuorinen&publication_year=1988" target="_blank">谷歌学术搜索</一个><年代pan class="sep">|</年代pan><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A0652.30013">Zentralblatt数学</一个></年代pan></li> <li id="B10">S.-L。邱和m . Vuorinen Quasimultiplicative属性<我>η</gydF4y2Ba我>变形功能”,<我>复杂的变量。理论和应用</我>,30卷,不。1,第96 - 77页,1996。<年代pan class="reflinks">视图:<一个href="https://scholar.google.com/scholar_lookup?title=Quasimultiplicative%20properties%20for%20the%20?-distortion%20function&author=S.-L. Qiu &author=M. Vuorinen&publication_year=1996" target="_blank">谷歌学术搜索</一个></年代pan></li> <li id="B11">g·d·安德森,s .秋和m . k . Vuorinen”Hersch-Pfluger和Belinskii失真函数,边界”<我>计算方法和功能理论1997(尼科西亚)</我>11卷<我>爵士。约。Decompos。</我>,页9-22,世界科学、河流边,新泽西,美国,1999年。<年代pan class="reflinks">视图:<一个href="https://scholar.google.com/scholar_lookup?title=Bounds%20for%20the%20Hersch-Pfluger%20and%20Belinskii%20distortion%20functions&author=G. D. Anderson&author=S. Qiu&author=&author=M. K. Vuorinen&publication_year=1999" target="_blank">谷歌学术搜索</一个></年代pan></li> <li id="B12">美国秋,”阿加德<我>η</gydF4y2Ba我>失真函数和肖特基定理”,<我>在中国科学。一个系列</我>,40卷,不。1、1 - 9,1997页。<年代pan class="reflinks">视图:<一个href="https://doi.org/10.1007/BF03182864">出版商的网站</一个><年代pan class="sep">|</年代pan><a href="https://scholar.google.com/scholar_lookup?title=Agard's%20?-distortion%20function%20and%20Schottky's%20theorem&author=S. Qiu&publication_year=1997" target="_blank">谷歌学术搜索</一个></年代pan></li> <li id="B13">g·d·安德森,S.-L。秋,m . k . Vamanamurthy和m . Vuorinen“广义椭圆积分和模块化的方程,<我>太平洋数学杂志</我>,卷192,不。1,1-37,2000页。<年代pan class="reflinks">视图:<一个href="https://doi.org/10.2140/pjm.2000.192.1">出版商的网站</一个><年代pan class="sep">|</年代pan><a href="https://scholar.google.com/scholar_lookup?title=Generalized%20elliptic%20integrals%20and%20modular%20equations&author=G. D. Anderson&author=S.-L. Qiu&author=M. K. Vamanamurthy&author=&author=M. Vuorinen&publication_year=2000" target="_blank">谷歌学术搜索</一个><年代pan class="sep">|</年代pan><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A0951.33012">Zentralblatt数学</一个></年代pan></li> <li id="B14">g·d·安德森,m . k . Vamanamurthy和m . k . Vuorinen<我>共形不变性、不平等和共地图</我>,加拿大数学学会系列专著和先进的文本,约翰威利& Sons,纽约,纽约,美国,1997年。<年代pan class="reflinks"></span></li> <li id="B15">g·d·安德森,S.-L。秋和m . Vuorinen“模块化方程和变形功能,”<我>Ramanujan杂志</我>,18卷,不。2、147 - 169年,2009页。<年代pan class="reflinks">视图:<一个href="https://doi.org/10.1007/s11139-007-9047-3">出版商的网站</一个><年代pan class="sep">|</年代pan><a href="https://scholar.google.com/scholar_lookup?title=Modular%20equations%20and%20distortion%20functions&author=G. D. Anderson&author=S.-L. Qiu&author=&author=M. Vuorinen&publication_year=2009" target="_blank">谷歌学术搜索</一个><年代pan class="sep">|</年代pan><a href="https://www.zentralblatt-math.org/zmath/en/advanced/?q=an%3A1205.30015">Zentralblatt数学</一个></年代pan></li> </ol> </div> <div class="xml-content"> <h4 class="copyright" id="copyright">版权</gydF4y2Bah4> <p>版权©2011徼楚等。这是一个开放的分布式下文章<一个rel="license" href="http://creativecommons.org/licenses/by/3.0/">知识共享归属许可</一个>,它允许无限制的使用、分配和复制在任何媒介,提供最初的工作是正确引用。</gydF4y2Bap> </div> </div> </article> </div> </div> </div> <div class="biblio__Wrapper-sc-1nou1lz-0 eyHfWh journal_article__BiblioIntegratorWidget-sc-12fk6zy-5 dbAANp article_widget biblioWrapper hide"> <hr> <h4 class="biblio__H4-sc-1nou1lz-2 kgAKHb hrTitleRef">更多相关文章</gydF4y2Bah4> <div id="biblio_widget" class="biblio__BiblioWrapper-sc-1nou1lz-1 ghauYU"></div> </div> </div> </div> <div class="threeColumn__RightWrapper-sc-1bf4078-2 jzTMLK rightWrapper" id="rightSectionMenu"> <div> <div class="journal_article__ArticleStickyTopToolbar-sc-12fk6zy-0 gbrQxi 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height="24"><span class="sc-bfYoXt jLRaNL">下载其他格式</年代pan><span class="sc-gbOuXE kvCIiS">更多的</年代pan></span> <span class="sc-htoDjs bMdQcY sc-eAKXzc bmKKdh icon-colored _1CwL9R82TPl2HxDleeYGDR icon-themeable" title="" font-size="11"></span> </div> <div class="sc-cTjmhe fEoWte"> <a class="sc-htpNat bUhGXt link sc-cugefK irOfVO open_panel" href="//www.newsama.com/downloads/journals/aaa/2011/671765.epub" aria-label="ePub" property="background-color" color="#D8D8D8"> <div class="sc-fnwBNb gUqhXf"> ePub</gydF4y2Badiv><img alt="" class="sc-EHOje jOLhQl sc-iNhVCk fhBqDd" title="" role="presentation" 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height="24"><span class="sc-bfYoXt jLRaNL">订单打印副本</年代pan><span class="sc-gbOuXE kvCIiS">订单</年代pan></span><span class="sc-htoDjs kNoiZu sc-eAKXzc bmKKdh right__icon icon-colored _32KP5uexH-Bgs7Kj8Gk1Tz icon-themeable" title="" font-size="16"></span></a> <div class="sc-bFADNz dxRcBT"> <div class="sc-cqpYsc bTgkQB"> <div> 的观点<年代pan>571年</年代pan> </div> <div> 下载<年代pan>465年</年代pan> </div> </div> <div> <div class="sc-hBbWxd exhBez"> <span class="__dimensions_badge_embed__" data-doi="10.1155/2011/671765" data-style="small_circle"></span>引用</gydF4y2Badiv> </div> </div> <nav class="sc-Rmtcm hZsedb sc-dRFtgE evqjui" id="toolbar__iconNav"> <h3 class="sc-csuQGl idXHYp">分享文章</gydF4y2Bah3> <ul class="sc-bRBYWo keayzM"> <li class="iconBorder"><a class="sc-htpNat bUhGXt link" href="https://twitter.com/share?url=https://doi.org/10.1155/2011/671765&via=Hindawi" aria-label="Sharing on Twitter" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje jOLhQl socialTwitter" title="" 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