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no-repeat 6px;background-position:center;margin-top:10px;min-width:55px;display:none;} @media (min-width:768px){.cwnXnj .floats-partial-section .floats-partial-footer .floats-partial-caption .expand_btn{display:none;}} .cwnXnj .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){.cwnXnj .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{padding:19px 18px 10px 18px;}} @media (min-width:992px){.cwnXnj .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{padding:19px 21px 10px 21px;}} .cwnXnj .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){.cwnXnj .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){.cwnXnj .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url{padding:15px 0 17px 0;min-width:60px;max-width:60px;}} .cwnXnj .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url:hover{-webkit-text-decoration:none;text-decoration:none;} .cwnXnj .floats-partial-section .floats-partial-footer .floats-partial-caption-text{font-size:14px;padding:0px 18px 17px 22px;} @media (min-width:768px){.cwnXnj .floats-partial-section .floats-partial-footer .floats-partial-caption-text{padding:0px 15px 15px 18px;}} @media (min-width:992px){.cwnXnj .floats-partial-section .floats-partial-footer .floats-partial-caption-text{padding:0px 18px 19px 21px;}} .cwnXnj .floats-partial-section .floats-partial-footer .floats-partial-caption-text figcaption{margin:0;padding:0;} .cwnXnj .floats-partial-section .floats-partial-footer .floats-partial-caption-text svg{max-width:100%;} .cwnXnj ol{font-size:16px;padding-left:32px;font-family:STIXGeneral-Regular;line-height:24px;margin:15px 0;} .cwnXnj ol li{margin:10px 0;padding-left:10px;word-break:normal;} .cwnXnj ol li a{word-break:break-all;} .cwnXnj ol li .reflinks{display:block;} .cwnXnj ol li .reflinks a{color:#4D8A17;-webkit-text-decoration:none;text-decoration:none;cursor:pointer;} .cwnXnj ol li .reflinks a:hover{-webkit-text-decoration:underline;text-decoration:underline;} .cwnXnj ol li .reflinks .sep{color:#000000;} .cwnXnj .table-wrapper{width:auto;overflow-x:auto;} .cwnXnj .table-wrapper::-webkit-scrollbar{-webkit-appearance:none;width:5px;height:5px;} .cwnXnj .table-wrapper::-webkit-scrollbar-thumb{border-radius:5px;background-color:rgba(0,0,0,.5);-webkit-box-shadow:0 0 1px rgba(255,255,255,.5);} @media (min-width:768px){.cwnXnj .table-wrapper{overflow-x:auto;width:auto;-webkit-break-word:word-break;break-word:word-break;margin:0 auto;}} @media (min-width:992px){.cwnXnj .table-wrapper{width:auto;}} @media (min-width:1324px){.cwnXnj .table-wrapper{width:auto;}} @media (min-width:320px){.cwnXnj{margin-bottom:33px;padding:0;}} @media (min-width:992px){.cwnXnj{padding:0;}} @media (min-width:1325px){} .cwnXnj .owl-stage{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;} .cwnXnj .floats-partial-middle--thumbs{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;} .cwnXnj .floats-partial-middle--thumbs .partial-carousel-dot svg{fill:#4D8A17;} .cwnXnj .floats-partial-middle--thumbs .partial-carousel-dot strong{color:#4D8A17;font-weight:500;} .cwnXnj .floats-partial-middle--thumbs .partial-carousel-dot.active strong{color:#007B8B;} .cwnXnj .floats-partial-middle--thumbs .partial-carousel-dot.active 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href="//www.newsama.com/journals/cin/" aria-label="Computational Intelligence and Neuroscience">计算智能和神经科学</一个>/<gydF4y2Ba一个class="sc-htpNat bUhGXt link sc-eitiEO jXeALb breadCrumb" href="//www.newsama.com/journals/cin/contents/year/2011/" aria-label="2011">2011年</一个>/<gydF4y2Ba年代pan class="sc-bhlBdH UVThf">文章</年代pan> </div> <div class="threeColumn__ThreeColumnWrapper-sc-1bf4078-0 dDyxFF threeColumnWrapper"> <div class="threeColumn__LeftWrapper-sc-1bf4078-1 fkVFlF leftWrapper"> <button type="button" class="sc-eKZiaR dzZrgS 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-bEjcJn jLUVhb static_contents__section_links links__hidden "> <div id="leftSectionMenu" class="sc-cbkKFq prcY sc-bGbJRg dVCLgr left_section_menu"> <p>在这一页上</gydF4y2Bap> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#abstract" aria-label="">文摘</一个></年代pan> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#introduction" aria-label="">介绍</一个></年代pan> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#methods-and-results" aria-label="">方法和结果</一个></年代pan> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#conclusion" aria-label="">结论</一个></年代pan> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#appendix" aria-label="">附录</一个></年代pan> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#references" aria-label="">引用</一个></年代pan> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#copyright" aria-label="">版权</一个></年代pan> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#related-articles" aria-label="">相关文章</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-chbbiW mBGSe article_header_class"> <div class="sc-kxynE fgGykB"> <span class="sc-cooIXK gQxyld">特殊的问题</年代pan> <h2 class="sc-fcdeBU bVtmCk">学术软件应用电磁大脑映射使用梅格和脑电图</gydF4y2Bah2> <a class="sc-htpNat bUhGXt link sc-gmeYpB hSHJbi" href="//www.newsama.com/journals/cin/si/138743/" aria-label="">把这个特殊的问题</一个><hr class="sc-clNaTc ktFfKO"> </div> <p class="sc-kZmsYB bkiEfx article_type">研究文章|<!gydF4y2Ba-- -->开放获取</gydF4y2Bap> <div class="sc-RcBXQ ztvYg article_citation"> 体积<!gydF4y2Ba-- --> 2011年<!gydF4y2Ba-- --> <span class="sc-fZwumE cUsFHx">|</年代pan>文章的ID<!gydF4y2Ba-- --> 747290年<!gydF4y2Ba-- --> <span class="sc-fZwumE cUsFHx">|</年代pan> <a class="sc-htpNat bUhGXt link sc-fQejPQ duuwge" href="https://doi.org/10.1155/2011/747290" aria-label="Doi-link">https://doi.org/10.1155/2011/747290</一个></div> <div class="sc-LKuAh lcOiDF article_full_citation"> <div class="sc-hzNEM gsmOCv isHide"> <p>Eleni g . Christodoulou范吉利斯Sakkalis, Vassilis Tsiaras Ioannis g . Tollis<!gydF4y2Ba-- -->,<!gydF4y2Ba-- --> ”<年代pan class="adjust-article-svg-size">BrainNetVis:开放获取工具有效地量化和可视化的大脑网络</年代pan>”,<!gydF4y2Ba-- --><i>计算智能和神经科学</gydF4y2Bai>,<!gydF4y2Ba-- --> 卷。<!gydF4y2Ba-- -->2011年<!gydF4y2Ba-- -->,<!gydF4y2Ba-- --> 文章的ID<!gydF4y2Ba-- -->747290年<!gydF4y2Ba-- -->,<!gydF4y2Ba-- --> 12<!gydF4y2Ba-- -->   页面<!gydF4y2Ba-- -->,<!gydF4y2Ba-- --> 2011年<!gydF4y2Ba-- -->。<!gydF4y2Ba-- --> https://doi.org/10.1155/2011/747290</gydF4y2Bap> </div> <button class="sc-hSdWYo etauus sc-iBEsjs kPshFw" color="">显示引用</gydF4y2Babutton> </div> <h1 class="sc-iRbamj jZOxOO sc-iSDuPN oGHBT article_title adjust-article-svg-size heading-title">BrainNetVis:开放获取工具有效地量化和可视化的大脑网络</gydF4y2Bah1> </div> <div class="sc-jrIrqw eHMFfo article_authors"> <hr class="sc-cEvuZC XkrFe hr__author"> <span class=""><b>Eleni g . Christodoulou</gydF4y2Bab><a class="sc-htpNat bUhGXt link" href="mailto:" aria-label="Mail Option"><span class="sc-htoDjs kNoiZu sc-hjRWVT irNWJI icon-colored _2zt-1j0LmaF8UjTQAM413G icon-themeable" title="" font-size="16"></span></a>,<年代up>1</年代up></span> <span class="">范吉利斯Sakkalis<!gydF4y2Ba-- -->,<年代up>1</年代up></span> <span class="">Vassilis Tsiaras<!gydF4y2Ba-- -->,<年代up>2</年代up> 和</年代pan> <span class="">Ioannis g . Tollis<年代up>1<!gydF4y2Ba-- -->,<!gydF4y2Ba-- -->2</年代up></span> <div class="sc-fHxwqH dMuGGA isHide"> <p><sup>1</年代up><span>计算机科学学院(ICS),基础研究和Technology-Hellas(出来),n . Plastira 100 gr - 70013伊拉克里翁,希腊</年代pan></p> <p><sup>2</年代up><span>大学计算机科学系克里特岛,希腊gr - 71409伊拉克里翁</年代pan></p> </div> <button class="sc-hSdWYo etauus sc-iQtOjA kfDwZY" 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>Sylvain Baillet</dgydF4y2Baiv> <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">2010年9月17日</年代pan> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">修改后的</年代pan> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2010年11月25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">2010年12月31日</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3月14日</年代pan> </div> </div> </div> <article class="sc-jtRlXQ cwnXnj article_body "> <div> <div class="xml-content"> <h4 class="header" id="abstract">文摘</gydF4y2Bah4> <p>摘要介绍BrainNetVis,大脑网络建模和可视化服务的一个工具,通过提供定量和定性的大脑互连网络的措施。它强调这个工具的需求导致创建领域呈现类似的作品和描述我们的工具导致现有的风景。它还描述了图表的方法用于计算指标(全球网络指标和顶点指标),携带大脑网络信息。明确的方法和可以理解的,我们使用一个整个论文范例数据集,计算和可视化。这个数据集包含一个酒鬼和一个对照组的主题。</gydF4y2Bap> <span class="end-abs"></span> <h4 id="introduction">1。介绍</gydF4y2Bah4> <p>在神经科学的一个主要问题是描述不同的大脑区域如何相互交流在感知、认知、行动以及在违约或静息状态的自发活动。主要是两种不同的方法来捕获和本地化的大脑活动提出了主题;基于单变量光谱分析和功能连通性分析(<一个href="#B43">1</一个>]。Friston [<一个href="#B14">2</一个>]定义功能连通性之间的统计依赖不同,经常布置得井然有序的激活神经元数量。</gydF4y2Bap> <p>网络模型和图论提供了一个通用的框架来描述大脑功能连通性(<一个href="#B9">3</一个>- - - - - -<一个href="#B11">5</一个>]。脑区之间的相互依存是估计使用多变量神经生理学信号(EEG、MEG ECoG)和/或血液动力学的响应图像(fMRI)。然后,网络是由相应的大脑区域或渠道顶点和通过考虑两个顶点之间的边当且仅当估计的相互依存是超过一个阈值。关于阈值的选择,重要的是要注意,这是一个相当棘手的部分,目前还没有建立支持一个特定的阈值的方法。在实践中,广泛的阈值用于描述网络。然而,作者提出两种方法在选择之间的阈值要么基于组统计具体用措施下的人口分析(<一个href="#B26">6</一个>]或利用ieee选择最优阈值使用可视化技术代理(人工生成的数据旨在揭示最显著的耦合的大脑区域)数据集的正确识别最重要的关联模式(<一个href="#B42">7</一个>]。下一步的分析、边缘识别、衡量后一些网络统计和描述网络。然后,使用网络特性的讨论,我们可以得出结论的影响疾病或认知负荷的功能连通性<一个href="#B26">6</一个>- - - - - -<一个href="#B25">11</一个>]。</gydF4y2Bap> <p>在这项研究中,我们简要参考双(二元)和多元相互依存的措施,以及线性和非线性的,已成功地用于大脑接触的指数(<一个href="#B39">12</一个>]。这个信息是重要的正确使用工具,特别是对于非专家用户来说,这些措施的应用程序在原始脑电图数据产生的输入我们的工具。BrainNetVis工具提供了一个高度复杂的潜在神经机制的动态快照通过图形可视化(<一个href="#B15">13</一个>]。BrainNetVis是开放获取多平台工具,由ICS-FORTH,和大脑网络可视化图形表示。请注意,BrainNetVis计算以下指标的<gydF4y2Bai>同步矩阵</gydF4y2Bai>(邻接矩阵),用户应该提前计算!然而,预处理部分(部分<gydF4y2Bai></i>3.2)简要提出了一些广泛使用的技术来评估脑功能连接和邻接矩阵。</gydF4y2Bap> <p>在这一点上,我们将一些已经存在的工具。这些工具比BrainNetVis捕获不同的脑电图信息,他们可以使用互补。其中一个是EEGLAB [<一个href="#B1">14</一个>),我们已经广泛使用了更好的感知的大脑区域。EEGLAB是一个互动的Matlab工具箱处理连续与事件相关的脑电图,梅格,和其他电生理数据结合独立分量分析(ICA),时间/频率分析,工件拒绝,与事件相关的统计数据,和一些有用的可视化方式的平均和实验数据。EEGlab也提供了偶极子定位功能。的一些指标,我们实现也已经在大脑中实现连接工具箱(由Rubinov matlab工具箱)和斯波恩<一个href="#B28">15</一个>]。其他相关工具箱包括MEA-Tools [<一个href="#B29">16</一个>]和ERPWAVELAB [<一个href="#B17">17</一个>]。然而在这些工具箱,办法量化通道相互作用主要局限于颞互相关(<一个href="#B29">16</一个>)和相干谱(<一个href="#B17">17</一个>,<gydF4y2Ba一个href="#B3">18</一个>]。然而,更复杂的相互依赖技术解决不仅线性非线性同步和因果关系也可以应用在某些疾病如癫痫(<一个href="#B39">12</一个>]。这些措施可以补充图理论指标,描述大脑网络讨论(<一个href="#B34">19</一个>),可以用作BrainNetVis输入。</gydF4y2Bap> <p>本文组织如下。部分<一个href="#sec2">2</一个>提出了基本信息在不同的图形建模和操作方式,使用BrainNetVis。部分<一个href="#sec3">3</一个>指的是所需的预处理(部分<一个href="#sec3.2">3所示。2</一个>),最常用的菜单调用和GUI(部分<一个href="#sec3.3">3所示。3</一个>),和可能的图形可视化选项(部分<一个href="#sec3.4">3所示。4</一个>)。我们的结论部分给出<一个href="#sec4">4</一个>。</gydF4y2Bap> <h4 id="network-analysis">2。网络分析</gydF4y2Bah4> <p>BrainNetVis之前,重要的是在这里提供了图论的一些基本概念。</gydF4y2Bap> <p>一个<gydF4y2Bai>图</gydF4y2Bai> <svg height="13.45" id="M1" style="vertical-align:-2.21957pt;width:68.050003px;" version="1.1" viewbox="0 0 68.050003 13.45" width="68.050003" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.640533" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="24.680922" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.033646" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="41.247398" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.174538" y="0"> )</t年代pan> </text> </g> </g> </svg>定义在一组<gydF4y2Bai>顶点</gydF4y2Bai> <svg height="14.75" id="M2" style="vertical-align:-3.20526pt;width:102.725px;" version="1.1" viewbox="0 0 102.725 14.75" width="102.725" 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,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.652556" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="22.692945" y="0"> {</t年代pan> <tspan style="font-size: 12.50px; " x="28.694386" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-36.92,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,-32.05,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-0.72,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,4.13,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> }</t年代pan> </text> </g> </g> </svg>和<gydF4y2Bai>边缘</gydF4y2Bai> <svg height="14.75" id="M3" style="vertical-align:-3.20526pt;width:105.325px;" version="1.1" viewbox="0 0 105.325 14.75" width="105.325" 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,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.390473" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="24.430862" y="0"> {</t年代pan> <tspan style="font-size: 12.50px; " x="30.432302" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-35.95,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,-31.07,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-0.5,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,6.21,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> }</t年代pan> </text> </g> </g> </svg>,每条边<年代vgheight="10.75" id="M4" style="vertical-align:-0.33858pt;width:38.5625px;" version="1.1" viewbox="0 0 38.5625 10.75" width="38.5625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> ∈</t年代pan> <tspan style="font-size: 12.50px; " x="21.067554" y="0"> </t年代pan> </text> </g> </g> </svg>是一个有序或无序的顶点。一个有序对<年代vgheight="13.45" id="M5" style="vertical-align:-2.21957pt;width:116.5375px;" version="1.1" viewbox="0 0 116.5375 13.45" width="116.5375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.067554" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="25.231054" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="31.157476" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="36.371227" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="42.697746" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="50.324574" y="0"> ∈</t年代pan> <tspan style="font-size: 12.50px; " x="62.364964" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.329857" y="0"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="83.119942" y="0"> </t年代pan> </text> </g> </g> </svg>被称为<gydF4y2Bai>导演的边缘</gydF4y2Bai>,而一个无序<年代vgheight="13.575" id="M6" style="vertical-align:-2.26974pt;width:63.299999px;" version="1.1" viewbox="0 0 63.299999 13.575" width="63.299999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.575)"> <g transform="translate(72,-61.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.067554" y="0"> {</t年代pan> <tspan style="font-size: 12.50px; " x="27.068995" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.995419" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="38.209167" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.535686" y="0"> }</t年代pan> </text> </g> </g> </svg>,在那里<年代vgheight="12.5375" id="M7" style="vertical-align:-1.76814pt;width:53.849998px;" version="1.1" viewbox="0 0 53.849998 12.5375" width="53.849998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.5375)"> <g transform="translate(72,-61.97)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9264221" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="11.12767" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.930021" y="0"> ∈</t年代pan> <tspan style="font-size: 12.50px; " x="32.970409" y="0"> </t年代pan> </text> </g> </g> </svg>,被称为<gydF4y2Bai>无向边</gydF4y2Bai>。以防<年代vgheight="7.4250002" id="M8" style="vertical-align:-0.11285pt;width:34.825001px;" version="1.1" viewbox="0 0 34.825001 7.4250002" width="34.825001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.3897533" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.430141" y="0"> </t年代pan> </text> </g> </g> </svg>,<年代vgheight="7.1875" id="M9" style="vertical-align:-0.13794pt;width:7.0749998px;" version="1.1" viewbox="0 0 7.0749998 7.1875" width="7.0749998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1875)"> <g transform="translate(72,-66.25)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>被称为<gydF4y2Bai>自身环</gydF4y2Bai>。在我们的研究中,我们考虑<gydF4y2Bai>简单的</gydF4y2Bai>没有self-loops图表,图表。的基数<年代vgheight="10.575" id="M10" style="vertical-align:-0.20064pt;width:12.625px;" version="1.1" viewbox="0 0 12.625 10.575" width="12.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.575)"> <g transform="translate(72,-63.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>用<年代vgheight="7.1374998" id="M11" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>(例如,<年代vgheight="13.45" id="M12" style="vertical-align:-2.21957pt;width:42.512501px;" version="1.1" viewbox="0 0 42.512501 13.45" width="42.512501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.6773224" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.71771" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="24.218311" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="31.407536" y="0"> |</t年代pan> </text> </g> </g> </svg>)。</gydF4y2Bap> <p>一个<gydF4y2Bai>加权网络</gydF4y2Bai> <svg height="13.45" id="M13" style="vertical-align:-2.21957pt;width:85.212502px;" version="1.1" viewbox="0 0 85.212502 13.45" width="85.212502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.640533" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="24.680922" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.033646" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="41.247398" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.174538" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="55.375786" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="63.890331" y="0"> )</t年代pan> </text> </g> </g> </svg>由图的顶点集<年代vgheight="10.575" id="M14" style="vertical-align:-0.20064pt;width:12.625px;" version="1.1" viewbox="0 0 12.625 10.575" width="12.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.575)"> <g transform="translate(72,-63.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和边集<年代vgheight="10.325" id="M15" style="vertical-align:-0.0pt;width:12.225px;" version="1.1" viewbox="0 0 12.225 10.325" width="12.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>增强边缘值函数<年代vgheight="10.675" id="M16" style="vertical-align:-0.16302pt;width:79.574997px;" version="1.1" viewbox="0 0 79.574997 10.675" width="79.574997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.675)"> <g transform="translate(72,-63.46)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.977874" y="0"> ∶</t年代pan> <tspan style="font-size: 12.50px; " x="21.842741" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="37.071396" y="0"> →</t年代pan> <tspan style="font-size: 12.50px; " x="54.213009" y="0"> ℝ</t年代pan> </text> </g> </g> </svg>分配到每一个优势<年代vgheight="10.75" id="M17" style="vertical-align:-0.33858pt;width:38.5625px;" version="1.1" viewbox="0 0 38.5625 10.75" width="38.5625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> ∈</t年代pan> <tspan style="font-size: 12.50px; " x="21.067554" y="0"> </t年代pan> </text> </g> </g> </svg>一个真正的价值<年代vgheight="13.45" id="M18" style="vertical-align:-2.21957pt;width:28.137501px;" version="1.1" viewbox="0 0 28.137501 13.45" width="28.137501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5145426" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.678042" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.241877" y="0"> )</t年代pan> </text> </g> </g> </svg>。每一个加权网络<年代vgheight="13.45" id="M19" style="vertical-align:-2.21957pt;width:85.212502px;" version="1.1" viewbox="0 0 85.212502 13.45" width="85.212502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.640533" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="24.680922" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.033646" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="41.247398" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.174538" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="55.375786" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="63.890331" y="0"> )</t年代pan> </text> </g> </g> </svg>对应于一个真正的<年代vgheight="8.7875004" id="M20" style="vertical-align:-0.3135pt;width:32.612499px;" version="1.1" viewbox="0 0 32.612499 8.7875004" width="32.612499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,8.7875)"> <g transform="translate(72,-64.97)"> <text transform="matrix(1,0,0,-1,-71.95,65.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="19.767242" y="0"> </t年代pan> </text> </g> </g> </svg>矩阵<年代vgheight="16.637501" id="M21" style="vertical-align:-4.77652pt;width:65.287498px;" version="1.1" viewbox="0 0 65.287498 16.637501" width="65.287498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.916079" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="26.956469" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="31.119967" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-31.13,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-23.98,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> </text> </g> </g> </svg>,<年代vgheight="13.675" id="M22" style="vertical-align:-2.34499pt;width:113.1375px;" version="1.1" viewbox="0 0 113.1375 13.675" width="113.1375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.675)"> <g transform="translate(72,-61.06)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="3.888433" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="9.0896807" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.429182" y="0"> ∈</t年代pan> <tspan style="font-size: 12.50px; " x="29.46957" y="0"> {</t年代pan> <tspan style="font-size: 12.50px; " x="35.471012" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="41.722511" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="46.923759" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="53.175259" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="58.389011" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="72.980011" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="78.181259" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="84.395248" y="0"> }</t年代pan> </text> </g> </g> </svg>,在那里<年代vgheight="13.2625" id="M23" style="vertical-align:-4.77652pt;width:21.174999px;" version="1.1" viewbox="0 0 21.174999 13.2625" width="21.174999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.2625)"> <g transform="translate(72,-61.39)"> <text transform="matrix(1,0,0,-1,-71.95,66.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-62.26,63.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> </g> </g> </svg>等于价值<年代vgheight="13.45" id="M24" style="vertical-align:-2.21957pt;width:28.137501px;" version="1.1" viewbox="0 0 28.137501 13.45" width="28.137501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5145426" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.678042" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.241877" y="0"> )</t年代pan> </text> </g> </g> </svg>的边缘<年代vgheight="16.637501" id="M25" style="vertical-align:-4.77652pt;width:68.762497px;" version="1.1" viewbox="0 0 68.762497 16.637501" width="68.762497" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.067554" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="25.231054" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-40.39,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-37.17,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-25.63,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-21.2,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> </text> </g> </g> </svg>如果<年代vgheight="10.75" id="M26" style="vertical-align:-0.33858pt;width:38.5625px;" version="1.1" viewbox="0 0 38.5625 10.75" width="38.5625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> ∈</t年代pan> <tspan style="font-size: 12.50px; " x="21.067554" y="0"> </t年代pan> </text> </g> </g> </svg>否则,或为0。如果我们保留值0表示没有优势的情况下,然后之间的对应关系<年代vgheight="10.75" id="M27" style="vertical-align:-0.15048pt;width:11.9125px;" version="1.1" viewbox="0 0 11.9125 10.75" width="11.9125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vgheight="10.575" id="M28" style="vertical-align:-0.20064pt;width:17.9625px;" version="1.1" viewbox="0 0 17.9625 10.575" width="17.9625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.575)"> <g transform="translate(72,-63.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是一比一。在这项工作中,我们考虑加权网络的一个子集,我们称之为<gydF4y2Bai>同步网络</gydF4y2Bai>限于区间,边缘值<年代vgheight="13.45" id="M29" 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"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="15.616247" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="21.867746" y="0"> ]</t年代pan> </text> </g> </g> </svg>和解释为强度顶点之间的依赖。</gydF4y2Bap> <p>在同步网络,提高边缘值显示更强的依赖性。定义一条边的长度,我们至少应该扭转的顺序通过应用边缘值,例如,逆函数<年代vgheight="13.6125" id="M30" style="vertical-align:-2.34499pt;width:135.3125px;" version="1.1" viewbox="0 0 135.3125 13.6125" width="135.3125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.6148071" y="0"> ∶</t年代pan> <tspan style="font-size: 12.50px; " x="19.479673" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="23.643173" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="29.894672" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="35.108425" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="41.359924" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="51.074757" y="0"> →</t年代pan> <tspan style="font-size: 12.50px; " x="68.21637" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="72.379868" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="78.631371" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="83.832619" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="92.397171" y="0"> ∞</t年代pan> <tspan style="font-size: 12.50px; " x="103.97495" y="0"> )</t年代pan> </text> </g> </g> </svg>,也就是说,<年代pan class="equation" id="EEq1"> <svg height="30.8375" id="M31" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 30.8375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,30.8375)"> <g transform="translate(72,-47.33)"> <text transform="matrix(1,0,0,-1,182.45,56.25)"> <tspan style="font-size: 12.50px; " x="40.959999" y="-7.25"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.7270937" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.890593" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.767242" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="27.406576" y="0"> =</t年代pan> </text> <g> <path d="m 223.1,59.37 6.88,0" 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,-1,223.1,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0699997" y="-9.0500002"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="251.02" y="-9.0500002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="255.1835" y="-9.0500002"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="261.435" y="-9.0500002"> )</t年代pan> </text> </g> </g> </svg></span>我们也提出另一个函数<年代vgheight="13.6125" id="M32" style="vertical-align:-2.34499pt;width:135.3125px;" version="1.1" viewbox="0 0 135.3125 13.6125" width="135.3125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.6148071" y="0"> ∶</t年代pan> <tspan style="font-size: 12.50px; " x="19.479673" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="23.643173" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="29.894672" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="35.108425" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="41.359924" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="51.074757" y="0"> →</t年代pan> <tspan style="font-size: 12.50px; " x="68.21637" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="72.379868" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="78.631371" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="83.832619" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="92.397171" y="0"> ∞</t年代pan> <tspan style="font-size: 12.50px; " x="103.97495" y="0"> )</t年代pan> </text> </g> </g> </svg>,在那里<年代pan class="equation" id="EEq2"> <svg height="16.5375" id="M33" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 16.5375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5375)"> <g transform="translate(72,-58.77)"> <text transform="matrix(1,0,0,-1,156.79,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.7270937" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.890593" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.767242" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="27.406576" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="39.446964" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="48.474133" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="59.81435" y="0"> l</t年代pan> <tspan style="font-size: 12.50px; " x="63.290188" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="69.541687" y="0"> g</t年代pan> </text> <text transform="matrix(1,0,0,-1,234.67,60.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,241.63,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.21" y="0.63"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="232.49001" y="0.63"> (</t年代pan> <tspan style="font-size: 12.50px; " x="236.6535" y="0.63"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="242.905" y="0.63"> )</t年代pan> </text> </g> </g> </svg></span></p> <p>这些定义如何变换边长的同步网络。这两个函数的性能更好取决于图形结构和指标或可视化方法,使用这些功能。当选择合适的配方,一个应该考虑的功能<年代vgheight="10.9125" id="M34" style="vertical-align:-0.17555pt;width:20.875px;" version="1.1" viewbox="0 0 20.875 10.9125" width="20.875" 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"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> </t年代pan> </text> </g> </g> </svg>倾向于<年代vgheight="9.3125" id="M35" style="vertical-align:-0.51414pt;width:25.299999px;" version="1.1" viewbox="0 0 25.299999 9.3125" width="25.299999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.3125)"> <g transform="translate(72,-64.55)"> <text transform="matrix(1,0,0,-1,-71.95,65.11)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> ∞</t年代pan> </text> </g> </g> </svg>速度比函数<年代vgheight="14.75" id="M36" style="vertical-align:-3.17262pt;width:75.875px;" version="1.1" viewbox="0 0 75.875 14.75" width="75.875" 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,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="20.367388" y="0"> l</t年代pan> <tspan style="font-size: 12.50px; " x="23.843222" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="30.094721" y="0"> g</t年代pan> </text> <text transform="matrix(1,0,0,-1,-31.43,60.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,-26.56,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</t年代pan> </text> </g> </g> </svg>当<年代vgheight="12.7875" id="M37" style="vertical-align:-0.17555pt;width:53.012501px;" version="1.1" viewbox="0 0 53.012501 12.7875" width="53.012501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.7875)"> <g transform="translate(72,-61.77)"> <text transform="matrix(1,0,0,-1,-71.95,61.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.427982" y="0"> →</t年代pan> <tspan style="font-size: 12.50px; " x="29.557093" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,-36.13,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</t年代pan> </text> </g> </g> </svg>。因此,边缘与小值指定的时间长度<年代vgheight="10.9125" id="M38" style="vertical-align:-0.17555pt;width:20.875px;" version="1.1" viewbox="0 0 20.875 10.9125" width="20.875" 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"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> </t年代pan> </text> </g> </g> </svg>比的函数<年代vgheight="14.75" id="M39" style="vertical-align:-3.17262pt;width:75.875px;" version="1.1" viewbox="0 0 75.875 14.75" width="75.875" 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,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="20.367388" y="0"> l</t年代pan> <tspan style="font-size: 12.50px; " x="23.843222" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="30.094721" y="0"> g</t年代pan> </text> <text transform="matrix(1,0,0,-1,-31.43,60.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,-26.56,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</t年代pan> </text> </g> </g> </svg>函数。</gydF4y2Bap> <p>从顶点的路径的长度<年代vgheight="7.1624999" id="M40" style="vertical-align:-0.11285pt;width:7.5374999px;" version="1.1" viewbox="0 0 7.5374999 7.1624999" width="7.5374999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>到顶点<年代vgheight="7.4250002" id="M41" style="vertical-align:-0.11285pt;width:8.0375004px;" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是边缘的长度的总和的路径。从顶点的最短路径距离<年代vgheight="7.1624999" id="M42" style="vertical-align:-0.11285pt;width:7.5374999px;" version="1.1" viewbox="0 0 7.5374999 7.1624999" width="7.5374999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>到顶点<年代vgheight="7.4250002" id="M43" style="vertical-align:-0.11285pt;width:8.0375004px;" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>用<年代vgheight="14.725" id="M44" style="vertical-align:-3.24037pt;width:49.549999px;" version="1.1" viewbox="0 0 49.549999 14.725" width="49.549999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.725)"> <g transform="translate(72,-60.22)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.3,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-58.2,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="15.291169" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> )</t年代pan> </text> </g> </g> </svg>。如果顶点<年代vgheight="7.4250002" id="M45" style="vertical-align:-0.11285pt;width:8.0375004px;" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>从顶点是遥不可及的<年代vgheight="7.1624999" id="M46" style="vertical-align:-0.11285pt;width:7.5374999px;" version="1.1" viewbox="0 0 7.5374999 7.1624999" width="7.5374999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,然后<年代vgheight="14.725" id="M47" style="vertical-align:-3.24037pt;width:94.112503px;" version="1.1" viewbox="0 0 94.112503 14.725" width="94.112503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.725)"> <g transform="translate(72,-60.22)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.3,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-58.2,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.089921" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="15.291169" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.257021" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="41.297409" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="49.861965" y="0"> ∞</t年代pan> </text> </g> </g> </svg>。</gydF4y2Bap> <h4 id="methods-and-results">3所示。方法和结果</gydF4y2Bah4> <h5 id="sec3.1">3.1。范例的情况</gydF4y2Bah5> <p>接下来,我们使用一个特定的数据用例,包括酒精和对照组,以提供具体使用的应用程序的例子。简单,具体研究包括30对照组和30酒精科目。每个主题都配备了一个61 -铅电极帽(ECI, Electro-Cap国际)。头皮电极都是指<年代vgheight="14.4875" id="M48" style="vertical-align:-3.25793pt;width:16.6875px;" version="1.1" viewbox="0 0 16.6875 14.4875" width="16.6875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.4875)"> <g transform="translate(72,-60.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-63.56,60.58)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。在这个实验中,每个主体被曝光的图片对象选择从1980年史诺德和Vanderwart图片设置<一个href="#B31">20.</一个>]。刺激在每个试验是随机的(但不重复)和被展示在白色背景为300 ms的电脑显示器的中心。它们的大小大约是5 - 10厘米×5 - 10厘米,因此弧的视角为0,05年°0,1°。十个试验表明,试验中固定的间隔3.2秒。参与者被要求记住图片为了以后能够识别它们。为每个主题和为每个审判和频带(8—13赫兹0.5 4赫兹,4 - 8赫兹,13-30 Hz, 30 - 45 Hz)每个通道的相互依存(有<年代vgheight="13.575" id="M49" style="vertical-align:-2.21957pt;width:82.025002px;" version="1.1" viewbox="0 0 82.025002 13.575" width="82.025002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.575)"> <g transform="translate(72,-61.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="14.578498" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="18.741997" y="0"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="34.020664" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="45.373386" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="51.624886" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="55.788387" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="59.264221" y="0"> 2</t年代pan> </text> </g> </g> </svg>通道对由于活动脑电图通道的数量是61)是计算使用一致性和边缘的方法。结果存储在<年代vgheight="11.2" id="M50" style="vertical-align:-0.3135pt;width:48.325001px;" version="1.1" viewbox="0 0 48.325001 11.2" width="48.325001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.2)"> <g transform="translate(72,-63.04)"> <text transform="matrix(1,0,0,-1,-71.95,63.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="15.278666" y="0"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="26.056252" y="0"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="32.307751" y="0"> 1</t年代pan> </text> </g> </g> </svg>相互依存关系矩阵<年代vgheight="10.575" id="M51" style="vertical-align:-0.20064pt;width:17.9625px;" version="1.1" viewbox="0 0 17.9625 10.575" width="17.9625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.575)"> <g transform="translate(72,-63.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>元素从0到1。本研究的主要发现,使用BrainNetVis,是酒精科目有受损的大脑活动同步和损失的偏侧性在排练过程中与对照组相比。</gydF4y2Bap> <h5 id="sec3.2">3.2。预处理</gydF4y2Bah5> <p>为了创建一个图,一个矩阵包含脑电图通道成对相关性是必需的。因此,需要计算相关性在所有成对的电极和演绎各自的邻接矩阵,<gydF4y2Bai>同步矩阵</gydF4y2Bai>。存在一系列的措施,抓住线性和非线性时间序列之间的联系在一个频段为了计算所需的相关性(在脑电图分析上下文他们被称为同步指数)。三项措施已被选定在一个广泛的研究线性和非线性同步措施(<一个href="#B39">12</一个>:典型的平方级相干方法(MSC) (<一个href="#B24">21</一个>),广义的非线性二维测量同步(RIM) [<一个href="#B4">22</一个>)和部分直接相干(PDC) (<一个href="#B5">23</一个>]。平方级一致性的优点是众所周知和被广泛接受的。RIM的优势是,它能够捕捉非线性模式可用的信号,而PDC可以测量因果关系。</gydF4y2Bap> <p><span class="statement" id="head1"><span class="statement-title"><i class="statement-title"><i>(1)平方级相干(MSC)</gydF4y2Bai></i></span><br>MSC(或者只是一致性)的和传统工具调查两个信号或脑电图通道之间的线性关系。让我们假设我们有两个同时测量离散时间序列<年代vgheight="11.05" id="M52" style="vertical-align:-3.2316pt;width:12.75px;" version="1.1" viewbox="0 0 12.75 11.05" width="12.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vgheight="11.025" id="M53" style="vertical-align:-3.2316pt;width:11.9px;" version="1.1" viewbox="0 0 11.9 11.025" width="11.9" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.025)"> <g transform="translate(72,-63.18)"> <text transform="matrix(1,0,0,-1,-71.95,66.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.75,63.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,<年代vgheight="10.8625" id="M54" style="vertical-align:-0.13794pt;width:67.737503px;" version="1.1" viewbox="0 0 67.737503 10.8625" width="67.737503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8625)"> <g transform="translate(72,-63.31)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.3517642" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="19.392153" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="27.731653" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="42.31015" y="0"> </t年代pan> </text> </g> </g> </svg>。MSC是交叉谱密度函数<年代vgheight="16.6" id="M55" style="vertical-align:-4.74141pt;width:41.4375px;" version="1.1" viewbox="0 0 41.4375 16.6" width="41.4375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6)"> <g transform="translate(72,-58.72)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-63.82,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.8136001" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-54.17,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> )</t年代pan> </text> </g> </g> </svg>通过傅里叶变换,这只是派生的互相关,规范化的个人autospectral密度函数。因此,MSC使用韦尔奇的计算方法<年代pan class="equation" id="eq1"> <svg height="49.5" id="M56" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 49.5" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,49.5)"> <g transform="translate(72,-32.4)"> <text transform="matrix(1,0,0,-1,123.45,47.76)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,129.8,44.63)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.8136001" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,141.54,47.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="58.93" y="-12.48"> |</t年代pan> <tspan style="font-size: 12.50px; " x="58.93" y="-9"> |</t年代pan> <tspan style="font-size: 12.50px; " x="61.43" y="-8.2200003"> </t年代pan> <tspan style="font-size: 12.50px; " x="68.660004" y="-10.73"> </t年代pan> <tspan style="font-size: 12.50px; " x="4.1599998" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.599525" y="0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="20.226355" y="0.0099999998"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,218.33,55.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.8136001" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,230.07,58.51)"> <tspan style="font-size: 12.50px; " x="16.76" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.07" y="-1.74"> |</t年代pan> <tspan style="font-size: 12.50px; " x="26.07" y="1.74"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.590521" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,258.64,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 175.01,50.88 113.97,0" 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,-1,175.01,38.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="3.1600001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="2.5" y="1.59"> ⟨</t年代pan> <tspan style="font-size: 12.50px; " x="7.5012002" y="1.59"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,190.64,34.06)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.8136001" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,202.85,37.19)"> <tspan style="font-size: 12.50px; " x="23.85" y="-1.58"> |</t年代pan> <tspan style="font-size: 12.50px; " x="23.85" y="1.58"> |</t年代pan> <tspan style="font-size: 12.50px; " x="28.43" y="-1.74"> |</t年代pan> <tspan style="font-size: 12.50px; " x="28.43" y="1.74"> |</t年代pan> <tspan style="font-size: 12.50px; " x="30.940001" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.16" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.590521" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="16.754021" y="0"> ⟩</t年代pan> </text> <text transform="matrix(1,0,0,-1,249.14,34.06)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.340992" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,260.4,37.19)"> <tspan style="font-size: 12.50px; " x="16.77" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.08" y="-1.74"> |</t年代pan> <tspan style="font-size: 12.50px; " x="26.08" y="1.74"> |</t年代pan> <tspan style="font-size: 12.50px; " x="29.780001" y="-10.57"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.603024" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="213.72" y="-11.89"> (</t年代pan> <tspan style="font-size: 12.50px; " x="217.8835" y="-11.89"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="224.13499" y="-11.89"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vgheight="14.6" id="M57" style="vertical-align:-2.67102pt;width:17.1px;" version="1.1" viewbox="0 0 17.1 14.6" width="17.1" 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,-71.95,63.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⟨</t年代pan> <tspan style="font-size: 12.50px; " x="5.0012002" y="0"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="8.5770578" y="0"> ⟩</t年代pan> </text> </g> </g> </svg>显示窗口平均。估计MSC对于一个给定的频率<年代vgheight="13.4875" id="M58" style="vertical-align:-2.34499pt;width:10.675px;" version="1.1" viewbox="0 0 10.675 13.4875" width="10.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.4875)"> <g transform="translate(72,-61.21)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>范围从0(无耦合)和1(最大线性相互依赖)。</年代pan></p> <p><span class="statement" id="head2"><span class="statement-title"><i class="statement-title"><i>(2)一个健壮的相互依存测量(RIM)</gydF4y2Bai></i></span><br>给定两个标量时间序列<年代vgheight="14.95" id="M59" style="vertical-align:-3.37204pt;width:57.862499px;" version="1.1" viewbox="0 0 57.862499 14.95" width="57.862499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.95)"> <g transform="translate(72,-60.04)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代pan> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.87809" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="17.04159" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.955029" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="25.118526" y="0"> }</t年代pan> </text> <text transform="matrix(1,0,0,-1,-40.83,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="8.7344961" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vgheight="14.95" id="M60" style="vertical-align:-3.37204pt;width:57.025002px;" version="1.1" viewbox="0 0 57.025002 14.95" width="57.025002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.95)"> <g transform="translate(72,-60.04)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代pan> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.202928" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="16.366426" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.279865" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="24.443365" y="0"> }</t年代pan> </text> <text transform="matrix(1,0,0,-1,-41.51,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="8.7344961" y="0"> </t年代pan> </text> </g> </g> </svg>与<年代vgheight="13.575" id="M61" style="vertical-align:-2.26974pt;width:95.125px;" version="1.1" viewbox="0 0 95.125 13.575" width="95.125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.575)"> <g transform="translate(72,-61.14)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.052412" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="22.0928" y="0"> {</t年代pan> <tspan style="font-size: 12.50px; " x="28.09424" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="34.345741" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="39.55949" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="54.137989" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="59.351742" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="69.991791" y="0"> }</t年代pan> </text> </g> </g> </svg>从动力系统,测量了<年代vgheight="10.325" id="M62" style="vertical-align:-0.0pt;width:13.4125px;" version="1.1" viewbox="0 0 13.4125 10.325" width="13.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vgheight="10.325" id="M63" style="vertical-align:-0.0pt;width:11.6125px;" version="1.1" viewbox="0 0 11.6125 10.325" width="11.6125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,系统重构的动态使用延迟坐标(<一个href="#B33">24</一个>]<gydF4y2Ba年代pan class="equation" id="eq2"> <svg height="18.424999" id="M64" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 18.424999" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.425)"> <g transform="translate(72,-57.26)"> <text transform="matrix(1,0,0,-1,93.34,61.06)"> <tspan style="font-size: 12.50px; " x="36.34" y="0.039999999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="219.2" y="0.039999999"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5770578" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.740557" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="16.653996" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="24.293329" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="40.5" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="49.452148" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="53.615646" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="57.529087" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="63.780586" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="68.994339" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="77.946487" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="82.109985" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="88.799088" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="100.15181" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="106.55335" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="112.79234" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="118.0061" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="132.59709" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="137.79834" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="146.763" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="150.9265" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="157.6156" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="168.95583" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="173.11932" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="184.78462" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="196.12485" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="202.37634" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="208.62784" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="215.02937" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,316.7,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,474.12,61.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> )</t年代pan> </text> </g> </g> </svg></span>同样我们重建<年代vgheight="13.8875" id="M65" style="vertical-align:-2.5707pt;width:23.237499px;" version="1.1" viewbox="0 0 23.237499 13.8875" width="23.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.8875)"> <g transform="translate(72,-60.89)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.328438" y="0"> )</t年代pan> </text> </g> </g> </svg>从<年代vgheight="14.95" id="M66" style="vertical-align:-3.37204pt;width:57.025002px;" version="1.1" viewbox="0 0 57.025002 14.95" width="57.025002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.95)"> <g transform="translate(72,-60.04)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代pan> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.202928" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="16.366426" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.279865" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="24.443365" y="0"> }</t年代pan> </text> <text transform="matrix(1,0,0,-1,-41.51,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="8.7344961" y="0"> </t年代pan> </text> </g> </g> </svg>嵌入维数<年代vgheight="7.1374998" id="M67" style="vertical-align:-0.10033pt;width:11.225px;" version="1.1" viewbox="0 0 11.225 7.1374998" width="11.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和一个延迟时间<年代vgheight="6.8874998" id="M68" style="vertical-align:-0.0627pt;width:8.125px;" version="1.1" viewbox="0 0 8.125 6.8874998" width="8.125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,6.8875)"> <g transform="translate(72,-66.49)"> <text transform="matrix(1,0,0,-1,-71.95,66.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>为<年代vgheight="15.3875" id="M69" style="vertical-align:-2.26974pt;width:132.55px;" version="1.1" viewbox="0 0 132.55 15.3875" width="132.55" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.3875)"> <g transform="translate(72,-59.69)"> <text transform="matrix(1,0,0,-1,-71.95,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.6773224" y="0"> ∈</t年代pan> <tspan style="font-size: 12.50px; " x="21.71771" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="28.306791" y="0"> ′</t年代pan> <tspan style="font-size: 12.50px; " x="35.395992" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="47.436382" y="0"> {</t年代pan> <tspan style="font-size: 12.50px; " x="53.43782" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="59.689323" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="64.890572" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="79.481567" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="84.69532" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,24.51,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,27.99,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> }</t年代pan> </text> </g> </g> </svg>,在那里<年代vgheight="15.325" id="M70" style="vertical-align:-2.21957pt;width:124.4875px;" version="1.1" viewbox="0 0 124.4875 15.325" width="124.4875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.325)"> <g transform="translate(72,-59.74)"> <text transform="matrix(1,0,0,-1,-71.95,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-60.18,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-53.24,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.456108" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="36.796329" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="40.959827" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="52.612625" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="63.952847" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="70.204346" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="74.367844" y="0"> </t年代pan> </text> </g> </g> </svg>。关于<年代vgheight="6.8874998" id="M71" style="vertical-align:-0.0627pt;width:8.125px;" version="1.1" viewbox="0 0 8.125 6.8874998" width="8.125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,6.8875)"> <g transform="translate(72,-66.49)"> <text transform="matrix(1,0,0,-1,-71.95,66.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vgheight="7.1374998" id="M72" style="vertical-align:-0.10033pt;width:11.225px;" version="1.1" viewbox="0 0 11.225 7.1374998" width="11.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>这些参数<年代vgheight="10.725" id="M73" style="vertical-align:-0.0pt;width:4.6374998px;" version="1.1" viewbox="0 0 4.6374998 10.725" width="4.6374998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.725)"> <g transform="translate(72,-63.42)"> <text transform="matrix(1,0,0,-1,-71.95,63.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ′</t年代pan> </text> </g> </g> </svg>年代的方法(<一个href="#B21">25</一个>]。拍摄的<一个href="#B33">24</一个>)嵌入定理及其续集(例如,<一个href="#B40">26</一个>)存在的证据,但他们不直接展示如何得到一个合适的时间延迟<年代vgheight="6.8874998" id="M74" style="vertical-align:-0.0627pt;width:8.125px;" version="1.1" viewbox="0 0 8.125 6.8874998" width="8.125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,6.8875)"> <g transform="translate(72,-66.49)"> <text transform="matrix(1,0,0,-1,-71.95,66.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>或者从一个有限的时间序列嵌入维数米。经验和启发式受聘为选择标准<年代vgheight="6.8874998" id="M75" style="vertical-align:-0.0627pt;width:8.125px;" version="1.1" viewbox="0 0 8.125 6.8874998" width="8.125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,6.8875)"> <g transform="translate(72,-66.49)"> <text transform="matrix(1,0,0,-1,-71.95,66.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和m。通常,一个选择<年代vgheight="6.8874998" id="M76" style="vertical-align:-0.0627pt;width:8.125px;" version="1.1" viewbox="0 0 8.125 6.8874998" width="8.125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,6.8875)"> <g transform="translate(72,-66.49)"> <text transform="matrix(1,0,0,-1,-71.95,66.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是自相关函数的价值第一次通过零,而m是决定使用不同的假近邻统计(<一个href="#B8">27</一个>- - - - - -<一个href="#B19">29日</一个>]。参数<年代vgheight="6.8874998" id="M77" style="vertical-align:-0.0627pt;width:8.125px;" version="1.1" viewbox="0 0 8.125 6.8874998" width="8.125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,6.8875)"> <g transform="translate(72,-66.49)"> <text transform="matrix(1,0,0,-1,-71.95,66.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>也可以使用的方法计算弗雷泽(<一个href="#B13">30.</一个>]。<gydF4y2Babr>让<年代vgheight="12.975" id="M78" style="vertical-align:-4.77652pt;width:18.200001px;" version="1.1" viewbox="0 0 18.200001 12.975" width="18.200001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.975)"> <g transform="translate(72,-61.62)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.85,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="4.9273758" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vgheight="12.975" id="M79" style="vertical-align:-4.77652pt;width:18.700001px;" version="1.1" viewbox="0 0 18.700001 12.975" width="18.700001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.975)"> <g transform="translate(72,-61.62)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.45,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="4.9273758" y="0"> </t年代pan> </text> </g> </g> </svg>,<年代vgheight="13.6125" id="M80" style="vertical-align:-2.34499pt;width:73.137497px;" version="1.1" viewbox="0 0 73.137497 13.6125" width="73.137497" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="20.367388" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="26.618887" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="31.832638" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="46.411137" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="51.624886" y="0"> </t年代pan> </text> </g> </g> </svg>,表示的时间指标<年代vgheight="10.7375" id="M81" style="vertical-align:-0.13794pt;width:8.6000004px;" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.7375)"> <g transform="translate(72,-63.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>最近的欧几里得的邻居<年代vgheight="13.45" id="M82" style="vertical-align:-2.21957pt;width:23.237499px;" version="1.1" viewbox="0 0 23.237499 13.45" width="23.237499" 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"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.328438" y="0"> )</t年代pan> </text> </g> </g> </svg>和<年代vgheight="13.8875" id="M83" style="vertical-align:-2.5707pt;width:23.237499px;" version="1.1" viewbox="0 0 23.237499 13.8875" width="23.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.8875)"> <g transform="translate(72,-60.89)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.328438" y="0"> )</t年代pan> </text> </g> </g> </svg>,分别。暂时相关邻居被排除在外的赛尔更正:<年代vgheight="16.637501" id="M84" style="vertical-align:-4.77652pt;width:96.887497px;" version="1.1" viewbox="0 0 96.887497 16.637501" width="96.887497" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="2.5006001" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-64.35,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="4.9273758" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-52.21,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.241157" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="21.21759" y="0"> ></t年代pan> <tspan style="font-size: 12.50px; " x="33.25798" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.910774" y="0"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="51.262299" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vgheight="16.637501" id="M85" style="vertical-align:-4.77652pt;width:97.387497px;" version="1.1" viewbox="0 0 97.387497 16.637501" width="97.387497" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="2.5006001" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-63.95,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="4.9273758" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-51.81,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.241157" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="21.21759" y="0"> ></t年代pan> <tspan style="font-size: 12.50px; " x="33.25798" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.910774" y="0"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="51.262299" y="0"> </t年代pan> </text> </g> </g> </svg>。为每一个<年代vgheight="12.975" id="M86" style="vertical-align:-0.33858pt;width:39.174999px;" version="1.1" viewbox="0 0 39.174999 12.975" width="39.174999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.975)"> <g transform="translate(72,-61.62)"> <text transform="matrix(1,0,0,-1,-71.95,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.37677" y="0"> ∈</t年代pan> <tspan style="font-size: 12.50px; " x="19.417158" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-44.19,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,平均平方距离的<年代vgheight="13.8875" id="M87" style="vertical-align:-2.5707pt;width:23.237499px;" version="1.1" viewbox="0 0 23.237499 13.8875" width="23.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.8875)"> <g transform="translate(72,-60.89)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.328438" y="0"> )</t年代pan> </text> </g> </g> </svg>所有剩余的点<年代vgheight="16.700001" id="M88" style="vertical-align:-4.77652pt;width:61.287498px;" version="1.1" viewbox="0 0 61.287498 16.700001" width="61.287498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.7)"> <g transform="translate(72,-58.64)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代pan> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.25294" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="16.416439" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.280106" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="25.443605" y="0"> }</t年代pan> </text> <text transform="matrix(1,0,0,-1,-40.5,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.4045279" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="9.3996477" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="14.011952" y="0"> </t年代pan> </text> </g> </g> </svg>是由<年代pan class="equation" id="eq3"> <svg height="55.125" id="M89" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 55.125" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,55.125)"> <g transform="translate(72,-27.9)"> <text transform="matrix(1,0,0,-1,113.83,45.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,123.09,42.67)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,128.41,45.8)"> <tspan style="font-size: 12.50px; " x="48.900002" y="-7.25"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="20.980034" y="0"> =</t年代pan> </text> <g> <path d="m 162.63,48.92 35.61,0" 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,-1,162.63,36.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,174.4,41.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,180.65,36.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,210.67,61.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,218.91,65.24)"> <tspan style="font-size: 6.25px; " x="0" y="0"> ′</t年代pan> </text> <text transform="matrix(1,0,0,-1,207.86,39.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,199.44,32.06)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.4045279" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="9.3996477" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="13.775648" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="17.416479" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="22.807713" y="0"> ≠</t年代pan> <tspan style="font-size: 8.75px; " x="30.255665" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,232.44,47.38)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="3.1600001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="59.98" y="-7.1054274e-015"> |</t年代pan> <tspan style="font-size: 12.50px; " x="59.98" y="3.1600001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="2.5" y="1.59"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.077058" y="1.59"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.240557" y="1.59"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.153996" y="1.59"> )</t年代pan> <tspan style="font-size: 12.50px; " x="26.105663" y="1.59"> −</t年代pan> <tspan style="font-size: 12.50px; " x="37.445885" y="1.59"> </t年代pan> <tspan style="font-size: 12.50px; " x="46.035446" y="1.59"> (</t年代pan> <tspan style="font-size: 12.50px; " x="50.198944" y="1.59"> </t年代pan> <tspan style="font-size: 12.50px; " x="55.812794" y="1.59"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,294.92,52.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,299.79,45.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="174.33" y="-1.03"> (</t年代pan> <tspan style="font-size: 12.50px; " x="178.4935" y="-1.03"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="184.745" y="-1.03"> )</t年代pan> </text> </g> </g> </svg></span>为每一个<年代vgheight="11.3375" id="M90" style="vertical-align:-3.21404pt;width:11.9875px;" version="1.1" viewbox="0 0 11.9875 11.3375" width="11.9875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.3375)"> <g transform="translate(72,-62.93)"> <text transform="matrix(1,0,0,-1,-71.95,66.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.7,63.06)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,X-conditioned意味着平方欧氏距离定义为<年代pan class="equation" id="eq4"> <svg height="52.762501" id="M91" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 52.762501" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,52.7625)"> <g transform="translate(72,-29.79)"> <text transform="matrix(1,0,0,-1,121.42,47.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,130.67,53.74)"> <tspan style="font-size: 8.75px; " x="0" y="9.8199997"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="7.658" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,143.82,42.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.2799997" y="-12.17"> </t年代pan> </text> <g> <path d="m 152.38,50.81 10.63,0" 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,-1,152.38,38.93)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.83" y="-3.8399999"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.9" y="-8.7600002"> =</t年代pan> <tspan style="font-size: 12.50px; " x="36.400002" y="-16.01"> 1</t年代pan> </text> <g> <path d="m 188.51,50.81 6.78,0" 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,-1,188.51,38.93)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,202.19,63.63)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,196.49,41.14)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,197.68,33.96)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.4045279" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="9.3996477" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,212.64,49.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="3.54"> |</t年代pan> <tspan style="font-size: 12.50px; " x="46.029999" y="4.29"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.889999" y="1.77"> </t年代pan> <tspan style="font-size: 12.50px; " x="2.5" y="1.77"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.077058" y="1.77"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.240557" y="1.77"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.153996" y="1.77"> )</t年代pan> <tspan style="font-size: 12.50px; " x="26.105663" y="1.77"> −</t年代pan> <tspan style="font-size: 12.50px; " x="37.445885" y="1.77"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,269.63,44.56)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="4.9273758" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,278.98,45.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-4.29"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-0.75"> |</t年代pan> </text> <text transform="matrix(1,0,0,-1,287.33,55.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,292.21,47.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="181.91" y="-0.079999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="186.0735" y="-0.079999998"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="192.325" y="-0.079999998"> )</t年代pan> </text> </g> </g> </svg></span>Quiroga et al。<一个href="#B21">25</一个>)定义了依赖的措施<年代pan class="equation" id="EEq3"> <svg height="50.650002" id="M92" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 50.650002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,50.65)"> <g transform="translate(72,-31.48)"> <text transform="matrix(1,0,0,-1,111.18,47.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.85" y="4.9200001"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.129999" y="-7.25"> </t年代pan> </text> <g> <path d="m 133.59,50.94 10.63,0" 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,-1,133.59,39.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.83" y="-3.8299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.9" y="-8.75"> =</t年代pan> <tspan style="font-size: 12.50px; " x="40.630001" y="-16"> 1</t年代pan> </text> <g> <path d="m 169.72,50.94 15.24,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,169.72,38.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,181.49,43.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="7.5300002" y="-20.65"> </t年代pan> <tspan style="font-size: 8.75px; " x="14.977952" y="-20.65"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,186.16,41.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,187.68,34.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="8.7344961" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,203.51,57.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,212.76,54.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,218.08,57.68)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.353204" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="20.29237" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="31.632589" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,258.97,63.72)"> <tspan style="font-size: 8.75px; " x="0" y="9.8100004"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="7.658" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,272.13,57.68)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.852604" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="14.328438" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.943485" y="0"> )</t年代pan> </text> <g> <path d="m 203.51,50.94 97.74,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,236.33,39.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,245.58,35.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,250.91,39.07)"> <tspan style="font-size: 12.50px; " x="51.529999" y="-8.75"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.340701" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="223.21001" y="-9.5500002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="227.3735" y="-9.5500002"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="233.625" y="-9.5500002"> )</t年代pan> </text> </g> </g> </svg></span>这项措施<年代vgheight="13.45" id="M93" style="vertical-align:-2.21957pt;width:48.887501px;" version="1.1" viewbox="0 0 48.887501 13.45" width="48.887501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.640053" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.803552" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.680922" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="28.156755" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.84586" y="0"> )</t年代pan> </text> </g> </g> </svg>定义在完整的类比,相互依存衡量之间<年代vgheight="10.325" id="M94" style="vertical-align:-0.0pt;width:13.4125px;" version="1.1" viewbox="0 0 13.4125 10.325" width="13.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vgheight="10.325" id="M95" style="vertical-align:-0.0pt;width:11.6125px;" version="1.1" viewbox="0 0 11.6125 10.325" width="11.6125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,我们使用均值<年代vgheight="13.45" id="M96" style="vertical-align:-2.21957pt;width:137.875px;" version="1.1" viewbox="0 0 137.875 13.45" width="137.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.803552" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="18.967051" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="32.320255" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="39.009361" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="45.948524" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="57.288746" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="67.928802" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="72.0923" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="78.781403" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="82.25724" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="92.134605" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="96.298103" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="100.4616" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="103.93744" y="0"> 2</t年代pan> </text> </g> </g> </svg>。</年代pan></p> <p><span class="statement" id="head3"><span class="statement-title"><i class="statement-title"><i>(3)部分直接相干(PDC)</gydF4y2Bai></i></span><br>让<年代vgheight="14.95" id="M97" style="vertical-align:-3.37204pt;width:57.424999px;" version="1.1" viewbox="0 0 57.424999 14.95" width="57.424999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.95)"> <g transform="translate(72,-60.04)"> <text transform="matrix(1,0,0,-1,-71.95,63.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代pan> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.25294" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="16.416439" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> }</t年代pan> </text> <text transform="matrix(1,0,0,-1,-41.46,60.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="8.7344961" y="0"> ℕ</t年代pan> </text> </g> </g> </svg>与<年代vgheight="17.725" id="M98" style="vertical-align:-3.20526pt;width:152.625px;" version="1.1" viewbox="0 0 152.625 17.725" width="152.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.725)"> <g transform="translate(72,-57.82)"> <text transform="matrix(1,0,0,-1,-71.95,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.414999" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.328438" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="21.955269" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="33.995659" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="38.159157" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-26.91,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,-22.03,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="12.240437" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="17.441685" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="32.032684" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="37.233932" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,22.09,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,26.94,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0769377" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="12.240437" y="0"> ]</t年代pan> </text> <text transform="matrix(1,0,0,-1,43.34,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是一个静止的<年代vgheight="7.1374998" id="M99" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>维时间序列均值为零。然后,一个向量自回归模型<年代vgheight="9.875" id="M100" style="vertical-align:-2.29482pt;width:7.7624998px;" version="1.1" viewbox="0 0 7.7624998 9.875" width="7.7624998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.875)"> <g transform="translate(72,-64.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>为<年代vgheight="7.3249998" id="M101" style="vertical-align:-0.0pt;width:8.25px;" version="1.1" viewbox="0 0 8.25 7.3249998" width="8.25" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.325)"> <g transform="translate(72,-66.14)"> <text transform="matrix(1,0,0,-1,-71.95,66.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是由<年代pan class="equation" id="EEq4"> <svg height="48.224998" id="M102" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.224998" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,48.225)"> <g transform="translate(72,-33.42)"> <text transform="matrix(1,0,0,-1,128.94,49.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5770578" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.740557" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="16.653996" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="24.293329" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,171.21,65.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,165.28,43.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,166.38,35.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.570816" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="9.5659361" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,181.43,49.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.266163" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.367388" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="26.618887" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="35.208447" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="39.371948" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="46.06105" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="57.401272" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="62.502499" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="69.441666" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="80.794388" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="88.921333" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="93.084831" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="96.998276" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="103.24977" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="292.69" y="0.090000004"> (</t年代pan> <tspan style="font-size: 12.50px; " x="296.85349" y="0.090000004"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="303.10501" y="0.090000004"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vgheight="13.675" id="M103" style="vertical-align:-2.21957pt;width:28.200001px;" version="1.1" viewbox="0 0 28.200001 13.675" width="28.200001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.675)"> <g transform="translate(72,-61.06)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.190665" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.291889" y="0"> )</t年代pan> </text> </g> </g> </svg>是<年代vgheight="8.7875004" id="M104" style="vertical-align:-0.3135pt;width:32.612499px;" version="1.1" viewbox="0 0 32.612499 8.7875004" width="32.612499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,8.7875)"> <g transform="translate(72,-64.97)"> <text transform="matrix(1,0,0,-1,-71.95,65.34)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="19.767242" y="0"> </t年代pan> </text> </g> </g> </svg>模型的系数矩阵<年代vgheight="13.45" id="M105" style="vertical-align:-2.21957pt;width:22.987499px;" version="1.1" viewbox="0 0 22.987499 13.45" width="22.987499" 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"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.0514522" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.214951" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.12839" y="0"> )</t年代pan> </text> </g> </g> </svg>与协方差矩阵是一个多元高斯白噪声过程<年代vgheight="10.6875" id="M106" style="vertical-align:-0.0pt;width:10.5125px;" version="1.1" viewbox="0 0 10.5125 10.6875" width="10.5125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6875)"> <g transform="translate(72,-63.45)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。在这个模型中,系数<年代vgheight="16.637501" id="M107" style="vertical-align:-4.77652pt;width:37.049999px;" version="1.1" viewbox="0 0 37.049999 16.637501" width="37.049999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-62.99,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-55.84,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.2647228" y="0"> )</t年代pan> </text> </g> </g> </svg>描述当前的值<年代vgheight="11.05" id="M108" style="vertical-align:-3.2316pt;width:12.75px;" version="1.1" viewbox="0 0 12.75 11.05" width="12.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>线性依赖于过去的组件值<年代vgheight="12.975" id="M109" style="vertical-align:-4.77652pt;width:14.25px;" version="1.1" viewbox="0 0 14.25 12.975" width="14.25" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.975)"> <g transform="translate(72,-61.62)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。为了提供一个频域测量格兰杰因果,Baccala和Sameshima<一个href="#B5">23</一个>]介绍了PDC的概念。这种方法是基于傅里叶变换系数的系列<年代pan class="equation" id="EEq5"> <svg height="48.224998" id="M110" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.224998" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,48.225)"> <g transform="translate(72,-33.42)"> <g> <path d="m 139.77,61.19 9.03,0" 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,-1,139.77,49.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.266163" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.780706" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="31.420038" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="43.460426" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="52.237534" y="0"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,209.29,65.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,203.36,43.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,204.46,35.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.570816" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="9.5659361" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,219.51,49.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.266163" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.780706" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="30.032206" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,255.11,54.67)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="14.677104" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,273.86,49.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="200.25999" y="0.090000004"> (</t年代pan> <tspan style="font-size: 12.50px; " x="204.42349" y="0.090000004"> 9</t年代pan> <tspan style="font-size: 12.50px; " x="210.675" y="0.090000004"> )</t年代pan> </text> </g> </g> </svg></span>更准确地说,PDC<年代vgheight="12.975" id="M111" style="vertical-align:-4.77652pt;width:14.25px;" version="1.1" viewbox="0 0 14.25 12.975" width="14.25" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.975)"> <g transform="translate(72,-61.62)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>来<年代vgheight="11.05" id="M112" style="vertical-align:-3.2316pt;width:12.75px;" version="1.1" viewbox="0 0 12.75 11.05" width="12.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.05)"> <g transform="translate(72,-63.16)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.07,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>被定义为<年代pan class="equation" id="EEq6"> <svg height="77.4375" id="M113" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 77.4375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,77.4375)"> <g transform="translate(72,-10.05)"> <text transform="matrix(1,0,0,-1,133.87,41.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,141.48,38.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> ←</t年代pan> <tspan style="font-size: 8.75px; " x="10.826224" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,158.81,41.45)"> <tspan style="font-size: 12.50px; " x="56.630001" y="-22.049999"> |</t年代pan> <tspan style="font-size: 12.50px; " x="56.630001" y="-11.38"> |</t年代pan> <tspan style="font-size: 12.50px; " x="56.630001" y="-8.2200003"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.678042" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="20.317375" y="0"> =</t年代pan> </text> <g> <path d="m 217.94,67.81 8.96,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,217.94,56.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,226.9,53.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,236.14,56.58)"> <tspan style="font-size: 12.50px; " x="16.84" y="-6.9200001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="16.84" y="3.75"> |</t年代pan> <tspan style="font-size: 12.50px; " x="16.84" y="6.9099998"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.678042" y="0"> )</t年代pan> </text> <g> <path d="m 192.36,44.57 86.2,0" 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,-1,192.36,15.15)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 206.42,40.44 72.14,0" 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,-1,206.42,20.08)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∑</t年代pan> </text> <text transform="matrix(1,0,0,-1,217.84,26.34)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.9300003"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7831359" y="9.9300003"> =</t年代pan> <tspan style="font-size: 8.75px; " x="8.7782564" y="9.9300003"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,233.58,27.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="10.67"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="13.83"> |</t年代pan> </text> <g> <path d="m 236.08,31.34 8.96,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,236.08,20.11)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,245.04,16.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7831359" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,254.34,20.11)"> <tspan style="font-size: 12.50px; " x="16.84" y="-6.9200001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="16.84" y="3.75"> |</t年代pan> <tspan style="font-size: 12.50px; " x="16.84" y="6.9099998"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.678042" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,273.68,32.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,279.75,41.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="188.12" y="3.54"> (</t年代pan> <tspan style="font-size: 12.50px; " x="192.28349" y="3.54"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="198.535" y="3.54"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="204.7865" y="3.54"> )</t年代pan> </text> </g> </g> </svg></span>在PDC<年代vgheight="16.637501" id="M114" style="vertical-align:-4.77652pt;width:49.75px;" version="1.1" viewbox="0 0 49.75 16.637501" width="49.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-64.35,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> ←</t年代pan> <tspan style="font-size: 8.75px; " x="10.826224" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-49.09,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.678042" y="0"> )</t年代pan> </text> </g> </g> </svg>值在0和1之间,所有频率的消失<年代vgheight="7.1875" id="M115" style="vertical-align:-0.13794pt;width:10.7625px;" version="1.1" viewbox="0 0 10.7625 7.1875" width="10.7625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1875)"> <g transform="translate(72,-66.25)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>当且仅当系数<年代vgheight="16.637501" id="M116" style="vertical-align:-4.77652pt;width:37.049999px;" version="1.1" viewbox="0 0 37.049999 16.637501" width="37.049999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-62.99,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-55.84,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.2647228" y="0"> )</t年代pan> </text> </g> </g> </svg>都是零<年代vgheight="13.55" id="M117" style="vertical-align:-2.29482pt;width:72.599998px;" version="1.1" viewbox="0 0 72.599998 13.55" width="72.599998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="20.604944" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="26.856443" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="32.070194" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="46.648693" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="51.862446" y="0"> </t年代pan> </text> </g> </g> </svg>。</年代pan></p> <p>同步矩阵使用上述方法之一是创建输入BrainNetVis工具,因此,它应该是分开计算和先验。请注意提交工具目前只实现了图形描述和可视化方案措施。它可以用于各种各样的邻接矩阵的形式输入。然而,我们提供预处理部分主要感兴趣但不是专家用户希望调查图表分析可能是如何被应用到神经科学领域。从这个意义上说,即使信号处理技术的范围以外的工具,我们描述了使用最广泛的方法,为进一步提供输入图分析。不过,确实,大多数的方法,线性(即。(即PDC),但大多是非线性的。RIM),承担一些<gydF4y2Bai>平稳性</gydF4y2Bai>。一般脑电图分布被认为是一个多元高斯过程即使均值和协方差属性一般从段段。因此,严格地说,脑电图quasistationarity开会,因为它只能被认为是固定在短时间间隔内。因此,用户应该以某种方式测试平稳性假设之前,使用这些方法。希望一个小说繁荣的技术能够将一个多变量时间序列分解为其固定和非固定的部分被称为固定子空间分析(SSA) [<一个href="#B36">31日</一个>),可以用来克服隐性平稳性约束。</gydF4y2Bap> <h6 id="sec3.2.1">3.2.1之上。二进制和灰度BrainNetVis网络</gydF4y2Bah6> <p>BrainNetVis提供使用的选项<gydF4y2Bai>二进制</gydF4y2Bai>或者一个<gydF4y2Bai>灰度</gydF4y2Bai>网络通过调整,分别<gydF4y2Bai>网络指标的选择</gydF4y2Bai>下<gydF4y2Bai>视图</gydF4y2Bai>下拉菜单。在我们的用例中,我们提供了作为一个同步工具的输入矩阵描述的大脑网络<gydF4y2Bai>虚拟</gydF4y2Bai>酒精的病人。创建了这个虚拟病人通过意味着整个节点和边值<gydF4y2Bai>所有</gydF4y2Bai>30酒精科目。我们强调,这个问题实际上并不存在。我们应用一个二进制网络,使用<年代vgheight="11.0125" id="M118" style="vertical-align:-0.17555pt;width:102.625px;" version="1.1" viewbox="0 0 102.625 11.0125" width="102.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0125)"> <g transform="translate(72,-63.19)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="3.913439" y="0"> ℎ</t年代pan> <tspan style="font-size: 12.50px; " x="11.12767" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="16.228893" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.792728" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="27.294048" y="0"> ℎ</t年代pan> <tspan style="font-size: 12.50px; " x="34.508282" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.234653" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.210609" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.325535" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="66.365921" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="72.617424" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="75.743172" y="0"> 4</t年代pan> </text> </g> </g> </svg>和灰度网络可视化使用colormap规模。边缘长度转换函数也可以选择在同样的菜单。我们使用<年代pan class="equation" id="eq5"> <svg height="30.8375" id="M119" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 30.8375" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,30.8375)"> <g transform="translate(72,-47.33)"> <text transform="matrix(1,0,0,-1,182.82,56.25)"> <tspan style="font-size: 12.50px; " x="40.23" y="-7.25"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> ℓ</t年代pan> <tspan style="font-size: 12.50px; " x="9.3147354" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.478234" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.042068" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="26.681402" y="0"> =</t年代pan> </text> <g> <path d="m 222.74,59.37 6.87,0" 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,-1,222.74,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0699997" y="-8.7600002"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="245.13" y="-9.0500002"> (</t年代pan> <tspan style="font-size: 12.50px; " x="249.2935" y="-9.0500002"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="255.545" y="-9.0500002"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="261.79651" y="-9.0500002"> )</t年代pan> </text> </g> </g> </svg></span>结果在图<一个href="//www.newsama.com/journals/cin/2011/747290/fig1/" target="_blank">1</一个>。</gydF4y2Bap> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig1"> <div class="floats-partial-content fig-content-fig1"> <div class="partial-carousel--single-image"> <img alt="(一)二元网络使用阈值= 0.4”name="747290.fig.001a" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.001a.jpg"> <br> <strong>(一)二元网络使用阈值= 0.4</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(b)使用colormap灰度网络规模。边缘的颜色越温暖,相邻顶点的相干性越强”name="747290.fig.001b" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.001b.jpg"> <br> <strong>(b)使用colormap灰度网络规模。边缘的颜色越温暖,相邻顶点的相干性越强</年代trong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig1"> <button class="partial-carousel-dot" aria-label="(a) Binary network using threshold = 0.4"><img alt="(一)二元网络使用阈值= 0.4”name="747290.fig.001a" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.001a.jpg"><br><strong>(一)二元网络使用阈值= 0.4</年代trong></button> <button class="partial-carousel-dot" aria-label="(b) Greyscale network using colormap scale. The warmer the color of the edge, the stronger the coherence of its adjacent vertices"><img alt="(b)使用colormap灰度网络规模。边缘的颜色越温暖,相邻顶点的相干性越强”name="747290.fig.001b" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.001b.jpg"><br><strong>(b)使用colormap灰度网络规模。边缘的颜色越温暖,相邻顶点的相干性越强</年代trong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig1"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图1</年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/cin/2011/747290/fig1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 加权网络的虚拟酒精病人的例子。照片都是用这些宽带活动的方法。</t一个ble> </div> </div> </div> <h6 id="sec3.2.2">3.2.2。数据结构</gydF4y2Bah6> <p>两种类型的文件所需的算法BrainNetVis封装正常运行<年代pan class="list"><span class="list-item"><span class="list-label">(1)</年代pan><span class="list-content">一个正方形的同步与脑电图研究的数据矩阵(<gydF4y2Bai>算法所需的功能</gydF4y2Bai>)。</年代pan></span><span class="list-item"><span class="list-label">(2)</年代pan><span class="list-content">一个文件包含一个矩阵的标签和每个电极的坐标。表的行对应电极。第一列包含电极的标签,另一列包含电极的坐标。这些将是2列(2 d数据,分别<年代vgheight="7.1624999" id="M120" style="vertical-align:-0.11285pt;width:8.7250004px;" version="1.1" viewbox="0 0 8.7250004 7.1624999" width="8.7250004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vgheight="9.8625002" id="M121" style="vertical-align:-2.29482pt;width:7.875px;" version="1.1" viewbox="0 0 7.875 9.8625002" width="7.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.8625)"> <g transform="translate(72,-64.11)"> <text transform="matrix(1,0,0,-1,-71.95,66.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>坐标)或三列(3 d数据,分别<年代vgheight="7.1624999" id="M122" style="vertical-align:-0.11285pt;width:8.7250004px;" version="1.1" viewbox="0 0 8.7250004 7.1624999" width="8.7250004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,<年代vgheight="9.8625002" id="M123" style="vertical-align:-2.29482pt;width:7.875px;" version="1.1" viewbox="0 0 7.875 9.8625002" width="7.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.8625)"> <g transform="translate(72,-64.11)"> <text transform="matrix(1,0,0,-1,-71.95,66.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,<年代vgheight="7.375" id="M124" style="vertical-align:-0.17555pt;width:7.9250002px;" version="1.1" viewbox="0 0 7.9250002 7.375" width="7.9250002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.375)"> <g transform="translate(72,-66.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>坐标)。(<gydF4y2Bai>可视化所需的选项</gydF4y2Bai>)</年代pan></span></span></p> <h5 id="sec3.3">3.3。菜单调用(GUI)</gydF4y2Bah5> <p>中可用的网络指标BrainNetVis将在这里,在某种程度上,这个工具的结构。</gydF4y2Bap> <h6 id="sec3.3.1">3.3.1。全球网络指标</gydF4y2Bah6> <p>网络通常分为统一类为了获得更好的理解他们的结构和功能。<gydF4y2Bai>网络的措施</gydF4y2Bai>数据捕获减少信息图和描述基本性质。网络措施应该抓住相关和必要的信息,他们应该区分某些类的网络和容易计算的算法和应用程序中非常有用。</gydF4y2Bap> <p>一个非常重要的指标是全球网络<gydF4y2Bai>聚类系数</gydF4y2Bai>。聚类系数已经被美国瓦茨介绍,“<一个href="#B37">32</一个>1998年)。为一个顶点<年代vgheight="7.4250002" id="M125" style="vertical-align:-0.11285pt;width:8.0375004px;" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>、聚类系数<年代vgheight="13.45" id="M126" style="vertical-align:-2.21957pt;width:24.924999px;" version="1.1" viewbox="0 0 24.924999 13.45" width="24.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.188745" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="9.3522444" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.678762" y="0"> )</t年代pan> </text> </g> </g> </svg>措施的直接连接。聚类系数<年代vgheight="13.45" id="M127" style="vertical-align:-2.21957pt;width:32.487499px;" version="1.1" viewbox="0 0 32.487499 13.45" width="32.487499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.389513" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.553012" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.730213" y="0"> )</t年代pan> </text> </g> </g> </svg>一个图的平均值<年代vgheight="13.45" id="M128" style="vertical-align:-2.21957pt;width:24.924999px;" version="1.1" viewbox="0 0 24.924999 13.45" width="24.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.188745" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="9.3522444" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.678762" y="0"> )</t年代pan> </text> </g> </g> </svg>接管所有的顶点。</gydF4y2Bap> <p>BrainNetVis应用程序中,我们实现两种不同的聚类系数,提出了张和Horvath)(第一)和Onnela(第二个)。张和Horvath)提出了一种只使用网络价值观的定义,在基因的背景下coexpression网络。另一方面,Onnela提出了一个基于版本的本地集群系数强度子图的概念,定义为子图边缘值的几何平均。这两个指标在表中定义<一个href="//www.newsama.com/journals/cin/2011/747290/tab1/" target="_blank">1</一个>。它必须注意到Onnela聚类系数定义存在的缺点,它需要一个潜在的二进制网络;如果这不是作为一个单独的数据集,然后大概必须离散化得到的加权边缘。</gydF4y2Bap> <div class="floats-partial-section partial-other-wrapper" data-section="tab1"> <div class="floats-partial-content fig-content-tab1"> <table class="table-group" id="tab1"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="2"> <hr></td> </tr> <tr> <td align="left" rowspan="4">张和霍</td><td一个lign="left"><span style="width: 337.41251px;"> <svg height="19.325001" id="M129" style="vertical-align:-5.6605pt" version="1.1" viewbox="0 0 337.41251 19.325001" width="337.41251" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.325)"> <g transform="translate(72,-56.54)"> <text transform="matrix(1,0,0,-1,-71.95,62.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,59.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-58.89,62.24)"> <tspan style="font-size: 12.50px; " x="30.16" y="0.029999999"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="18.116846" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,-17.3,58.53)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.1747041" y="0"> ≠</t年代pan> <tspan style="font-size: 8.75px; " x="11.631408" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.035936" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="21.031055" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="26.063456" y="0"> ⧵</t年代pan> <tspan style="font-size: 8.75px; " x="30.640753" y="0"> {</t年代pan> <tspan style="font-size: 8.75px; " x="34.841713" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="39.270226" y="0"> }</t年代pan> </text> <text transform="matrix(1,0,0,-1,31.27,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="-2.51" y="0.12"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,38.45,59.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.4285121" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,48.61,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="-2.52" y="0.12"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,55.78,59.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,65.45,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="-2.52" y="0.12"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,72.62,59.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.4045279" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,80.95,62.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="5.5599999" y="0.029999999"> ∑</t年代pan> </text> <text transform="matrix(1,0,0,-1,97.94,58.53)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.1747041" y="0"> ≠</t年代pan> <tspan style="font-size: 8.75px; " x="11.631408" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.035936" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="21.031055" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="26.063456" y="0"> ⧵</t年代pan> <tspan style="font-size: 8.75px; " x="30.640753" y="0"> {</t年代pan> <tspan style="font-size: 8.75px; " x="34.841713" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="39.270226" y="0"> }</t年代pan> </text> <text transform="matrix(1,0,0,-1,146.51,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="-2.51" y="0.12"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,153.69,59.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.4285121" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,163.85,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="-2.51" y="0.12"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,171.03,59.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.4045279" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,182.83,62.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⇒</t年代pan> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="left"><span style="width: 433.91251px;"> <svg height="19.075001" id="M130" style="vertical-align:-5.6605pt" version="1.1" viewbox="0 0 433.91251 19.075001" width="433.91251" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.075)"> <g transform="translate(72,-56.74)"> <text transform="matrix(1,0,0,-1,-71.95,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,59.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-58.89,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="18.116846" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="30.157236" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="34.320736" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="40.572235" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="44.048069" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="53.775402" y="0"> 一个</t年代pan> <tspan style="font-size: 12.50px; " x="59.326736" y="0"> x</t年代pan> </text> <text transform="matrix(1,0,0,-1,10.86,59.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="4.9098721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,20.2,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,34.05,59.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,41.2,62.44)"> <tspan style="font-size: 12.50px; " x="21.620001" y="0.029999999"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="17.454187" y="0"> (</t年代pan> </text> <text transform="matrix(1,0,0,-1,74.25,58.73)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.1747041" y="0"> ≠</t年代pan> <tspan style="font-size: 8.75px; " x="11.631408" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.035936" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="21.031055" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="26.063456" y="0"> ⧵</t年代pan> <tspan style="font-size: 8.75px; " x="30.640753" y="0"> {</t年代pan> <tspan style="font-size: 8.75px; " x="34.841713" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="39.270226" y="0"> }</t年代pan> </text> <text transform="matrix(1,0,0,-1,120.31,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,130,59.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.4285121" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,137.65,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,147.34,59.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,154.49,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,164.18,59.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.4045279" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,172.51,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="5.5599999" y="0.029999999"> ∑</t年代pan> </text> <text transform="matrix(1,0,0,-1,189.5,58.73)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.1747041" y="0"> ≠</t年代pan> <tspan style="font-size: 8.75px; " x="11.622656" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.027184" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="21.022305" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="26.054705" y="0"> ⧵</t年代pan> <tspan style="font-size: 8.75px; " x="30.632" y="0"> {</t年代pan> <tspan style="font-size: 8.75px; " x="34.832958" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="39.261471" y="0"> }</t年代pan> </text> <text transform="matrix(1,0,0,-1,235.55,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,245.24,59.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.4285121" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,252.89,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,262.58,59.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.4045279" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,270.91,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="left">权重归一化了<年代vgheight="16.637501" id="M131" style="vertical-align:-4.77652pt" version="1.1" viewbox="0 0 75.375 16.637501" width="75.375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> 一个</t年代pan> <tspan style="font-size: 12.50px; " x="15.278666" y="0"> x</t年代pan> </text> <text transform="matrix(1,0,0,-1,-46.25,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="4.9098721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-36.91,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-23.06,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-15.91,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> </text> </g> </g> </svg>。</td></tgydF4y2Bar> <tr> <td align="left">上面的定义只使用网络价值观,在基因的背景下coexpression网络。</td></tgydF4y2Bar> <tr> <td align="center" colspan="2"> <hr></td> </tr> <tr> <td align="left" rowspan="4">Onnela</td><td一个lign="left"><span style="width: 318.32501px;"> <svg height="22.612499" id="M132" style="vertical-align:-5.6605pt" version="1.1" viewbox="0 0 318.32501 22.612499" width="318.32501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,22.6125)"> <g transform="translate(72,-53.91)"> <text transform="matrix(1,0,0,-1,-71.95,59.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,56.48)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-59.68,59.6)"> <tspan style="font-size: 12.50px; " x="46.139999" y="2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="18.116846" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="30.157236" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="34.320736" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="40.572235" y="0"> /</t年代pan> </text> <text transform="matrix(1,0,0,-1,-5.61,64.52)"> <tspan style="font-size: 8.75px; " x="10.72" y="9.5699997"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="0"> d</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> e</t年代pan> <tspan style="font-size: 8.75px; " x="8.2618876" y="0"> g</t年代pan> <tspan style="font-size: 8.75px; " x="15.552304" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="18.466721" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="22.895231" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,22.29,57.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> )</t年代pan> <tspan style="font-size: 12.50px; " x="12.1" y="-2.49"> ∑</t年代pan> </text> <text transform="matrix(1,0,0,-1,45.82,55.9)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.1747041" y="0"> ≠</t年代pan> <tspan style="font-size: 8.75px; " x="11.622656" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.027184" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="21.022305" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="26.054705" y="0"> ⧵</t年代pan> <tspan style="font-size: 8.75px; " x="30.632" y="0"> {</t年代pan> <tspan style="font-size: 8.75px; " x="34.832958" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="39.261471" y="0"> }</t年代pan> </text> <text transform="matrix(1,0,0,-1,91.87,59.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="6.6799998" y="-0.13"> </t年代pan> <tspan style="font-size: 12.50px; " x="4.1700001" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,105.73,56.48)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.4285121" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,115.89,59.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="-2.51" y="0.13"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,123.07,56.48)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,132.73,59.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="-2.52" y="0.13"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,139.9,56.48)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.4045279" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,148.24,59.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,152.4,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="6.8090558" y="0"> 3</t年代pan> </text> <text transform="matrix(1,0,0,-1,167.56,59.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⇒</t年代pan> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="left"><span style="width: 370.42499px;"> <svg height="21.0375" id="M133" style="vertical-align:-5.6605pt" version="1.1" viewbox="0 0 370.42499 21.0375" width="370.42499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,21.0375)"> <g transform="translate(72,-55.17)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-59.68,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="18.116846" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="30.157236" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="34.320736" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="40.572235" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="44.048069" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="53.775402" y="0"> 一个</t年代pan> <tspan style="font-size: 12.50px; " x="59.326736" y="0"> x</t年代pan> </text> <text transform="matrix(1,0,0,-1,10.07,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="4.9098721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,19.41,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,33.26,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,40.41,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="6.25" y="2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,54.6,65.78)"> <tspan style="font-size: 8.75px; " x="10.71" y="9.5600004"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="0"> d</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> e</t年代pan> <tspan style="font-size: 8.75px; " x="8.2618876" y="0"> g</t年代pan> <tspan style="font-size: 8.75px; " x="15.543552" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="18.457968" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="22.88648" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,82.49,58.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> )</t年代pan> <tspan style="font-size: 12.50px; " x="12.1" y="-2.49"> ∑</t年代pan> </text> <text transform="matrix(1,0,0,-1,106.02,57.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.1747041" y="0"> ≠</t年代pan> <tspan style="font-size: 8.75px; " x="11.631408" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="15.035936" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="21.031055" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="26.063456" y="0"> ⧵</t年代pan> <tspan style="font-size: 8.75px; " x="30.640753" y="0"> {</t年代pan> <tspan style="font-size: 8.75px; " x="34.841713" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="39.270226" y="0"> }</t年代pan> </text> <text transform="matrix(1,0,0,-1,152.08,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,165.93,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.4285121" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,173.58,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,183.27,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,190.42,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,200.11,57.74)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.4045279" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,208.44,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,212.6,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="6.8090558" y="0"> 3</t年代pan> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="left">在这里,边值最大值归一化的网络,</td></tgydF4y2Bar> <tr> <td align="left"> <svg height="18.225" id="M134" style="vertical-align:-4.77652pt" version="1.1" viewbox="0 0 132.9875 18.225" width="132.9875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.225)"> <g transform="translate(72,-57.42)"> <text transform="matrix(1,0,0,-1,-69.44,62.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="-2.51" y="0.12"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-62.26,59.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-51.64,62.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-29.91,59.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-22.76,62.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="13.203168" y="0"> 一个</t年代pan> <tspan style="font-size: 12.50px; " x="18.754499" y="0"> x</t年代pan> </text> <text transform="matrix(1,0,0,-1,6.41,59.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7831359" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="4.9711361" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,16.63,62.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,26.32,59.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7831359" y="0"> </t年代pan> </text> </g> </g> </svg>。</td></tgydF4y2Bar> <tr> <td align="center" colspan="2"> <hr></td> </tr> <tr> <td align="left">选型混合</td><td一个lign="left"></td> </tr> <tr> <td align="left">对称的加权网络</td><td一个lign="left"><span style="width: 693.1875px;"> <svg height="21.9125" id="M135" style="vertical-align:-5.30061pt" version="1.1" viewbox="0 0 693.1875 21.9125" width="693.1875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,21.9125)"> <g transform="translate(72,-54.47)"> <text transform="matrix(1,0,0,-1,-71.95,59.8)"> <tspan style="font-size: 12.50px; " x="41.990002" y="0.02"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="20.604944" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="24.768442" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="31.019943" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-18.53,56.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> {</t年代pan> <tspan style="font-size: 8.75px; " x="4.2009602" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="8.3494081" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="10.537408" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="14.96592" y="0"> }</t年代pan> <tspan style="font-size: 8.75px; " x="19.16688" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="25.162001" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,15.98,59.8)"> <tspan style="font-size: 12.50px; " x="59.75" y="0.02"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.2765059" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="10.440005" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="16.366426" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="20.529926" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.806433" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="30.969931" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="37.296448" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="44.235615" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="55.575836" y="0"> (</t年代pan> </text> <text transform="matrix(1,0,0,-1,87.16,56.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> {</t年代pan> <tspan style="font-size: 8.75px; " x="4.2009602" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="8.3494081" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="10.537408" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="14.96592" y="0"> }</t年代pan> <tspan style="font-size: 8.75px; " x="19.16688" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="25.162001" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,119.59,59.8)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.440005" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.603504" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.529926" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="27.469091" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="38.809311" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.085819" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="49.249317" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="55.575836" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="59.739334" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="63.902832" y="0"> ]</t年代pan> </text> <text transform="matrix(1,0,0,-1,187.66,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,192.54,59.8)"> <tspan style="font-size: 12.50px; " x="29.01" y="0.02"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="7.6393328" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="18.054333" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,232.98,56.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> {</t年代pan> <tspan style="font-size: 8.75px; " x="4.2009602" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="8.3494081" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="10.537408" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="14.96592" y="0"> }</t年代pan> <tspan style="font-size: 8.75px; " x="19.16688" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="25.162001" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,265.42,59.8)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.440005" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.603504" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.529926" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,290.11,64.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,297.76,59.8)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.616728" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="21.780226" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="28.106745" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,330.04,64.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,334.91,59.8)"> <tspan style="font-size: 12.50px; " x="26.620001" y="0.02"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="22.442884" y="0"> (</t年代pan> </text> <text transform="matrix(1,0,0,-1,372.96,56.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> {</t年代pan> <tspan style="font-size: 8.75px; " x="4.2009602" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="8.3494081" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="10.537408" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="14.96592" y="0"> }</t年代pan> <tspan style="font-size: 8.75px; " x="19.16688" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="25.162001" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,405.39,59.8)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.440005" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.603504" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.529926" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="27.469091" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="38.809311" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.085819" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="49.249317" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="55.575836" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="59.739334" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="63.902832" y="0"> ]</t年代pan> </text> <text transform="matrix(1,0,0,-1,473.46,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,478.34,59.8)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="left">定向加权网络</td><td一个lign="left"><span style="width: 649.90002px;"> <svg height="30.025" id="M136" style="vertical-align:-7.72589pt" version="1.1" viewbox="0 0 649.90002 30.025" width="649.90002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,30.025)"> <g transform="translate(72,-47.98)"> <text transform="matrix(1,0,0,-1,-71.95,55.73)"> <tspan style="font-size: 12.50px; " x="37.77" y="0.02"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="20.604944" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="24.768442" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-22.75,52.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="7.0628638" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="9.250864" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="13.679376" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="16.593792" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="22.588911" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,9.2,55.73)"> <tspan style="font-size: 12.50px; " x="119.35" y="4.0100002"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5145426" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.678042" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.604464" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="23.805712" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.132231" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="34.295731" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.572235" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="44.735733" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.662155" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="54.825657" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="61.102161" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="65.265663" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="71.592178" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="78.531342" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="89.871567" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="98.836212" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="107.5383" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="111.70181" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="115.17764" y="0"> (</t年代pan> </text> <g> <path d="m 141.77,70.71 144.04,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,141.77,55.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13" y="0.02"> ∑</t年代pan> </text> <text transform="matrix(1,0,0,-1,166.2,52.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="7.0628638" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="9.250864" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="13.679376" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="16.593792" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="22.588911" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,198.14,55.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5145426" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.678042" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.604464" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="23.805712" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.132231" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="34.295731" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.572235" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="44.735733" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.662155" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,252.98,60.9)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,260.63,55.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,280.94,60.79)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,285.81,51.72)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 299.03,70.71 144.68,0" 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,-1,299.03,55.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13" y="0.02"> ∑</t年代pan> </text> <text transform="matrix(1,0,0,-1,323.45,52.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="7.0628638" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="9.250864" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="13.679376" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="16.593792" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="22.588911" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,355.4,55.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5145426" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.678042" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.604464" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="23.805712" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.132231" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="34.295731" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.572235" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="44.735733" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.062252" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,410.63,60.9)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,418.29,55.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,438.83,60.62)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,443.71,55.73)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="left"></td> <td align="left"><span style="width: 153.47501px;"> <svg height="18.575001" id="M137" style="vertical-align:-5.2655pt" version="1.1" viewbox="0 0 153.47501 18.575001" width="153.47501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.575)"> <g transform="translate(72,-57.14)"> <text transform="matrix(1,0,0,-1,-71.95,62.44)"> <tspan style="font-size: 12.50px; " x="24.48" y="0.029999999"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.427982" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,-36.05,58.73)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="7.0628638" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="9.250864" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="13.679376" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="16.593792" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="22.588911" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-4.1,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5145426" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.678042" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.604464" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="23.805712" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.132231" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="34.295731" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.572235" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="44.735733" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.662155" y="0"> )</t年代pan> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="left"></td> <td align="left"><span style="width: 153.64999px;"> <svg height="18.575001" id="M138" style="vertical-align:-5.2655pt" version="1.1" viewbox="0 0 153.64999 18.575001" width="153.64999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.575)"> <g transform="translate(72,-57.14)"> <text transform="matrix(1,0,0,-1,-71.95,62.44)"> <tspan style="font-size: 12.50px; " x="24.209999" y="0.029999999"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.165419" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,-36.31,58.73)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="7.0628638" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="9.250864" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="13.679376" y="0"> )</t年代pan> <tspan style="font-size: 8.75px; " x="16.593792" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="22.588911" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-4.36,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5145426" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.678042" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.604464" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="23.805712" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.132231" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="34.295731" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.572235" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="44.735733" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.062252" y="0"> )</t年代pan> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="left"></td> <td align="left"> <svg height="16.9375" id="M139" style="vertical-align:-3.9488pt" version="1.1" viewbox="0 0 99.512497 16.9375" width="99.512497" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.9375)"> <g transform="translate(72,-58.45)"> <text transform="matrix(1,0,0,-1,-71.95,62.44)"> <tspan style="font-size: 12.50px; " x="26.43" y="0.029999999"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.37845" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,-34.1,58.73)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.89464" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="9.88976" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-14.85,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5145426" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.678042" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.241877" y="0"> )</t年代pan> </text> </g> </g> </svg>边的所有值的总和在吗<年代vgheight="10.325" id="M140" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 12.225 10.325" width="12.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。</td></tgydF4y2Bar> <tr> <td align="center" colspan="2"> <hr></td> </tr> <tr> <td align="left">学位中心<年代vgheight="14.6" id="M141" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 34.362499 14.6" width="34.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6)"> <g transform="translate(72,-60.32)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-59.22,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> </text> </g> </g> </svg>的顶点<gydF4y2Bai>v</gydF4y2Bai></td> <td align="left"></td> </tr> <tr> <td align="left">二进制无向网络</td><td一个lign="left">学位<年代vgheight="14.2" id="M142" style="vertical-align:-2.73372pt" version="1.1" viewbox="0 0 46.224998 14.2" width="46.224998" 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"> d</t年代pan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> e</t年代pan> <tspan style="font-size: 12.50px; " x="11.802832" y="0"> g</t年代pan> <tspan style="font-size: 12.50px; " x="22.217831" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="26.38133" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.707848" y="0"> )</t年代pan> </text> </g> </g> </svg>的顶点<年代vgheight="7.4250002" id="M143" style="vertical-align:-0.11285pt" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg></td> </tr> <tr> <td align="left">针对二进制网络</td><td一个lign="left">入度<年代vgheight="14.825" id="M144" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 111.3625 14.825" width="111.3625" 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"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,60.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-56.5,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="18.129351" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="30.157236" y="0"> d</t年代pan> <tspan style="font-size: 12.50px; " x="36.408737" y="0"> e</t年代pan> <tspan style="font-size: 12.50px; " x="41.960068" y="0"> g</t年代pan> </text> <text transform="matrix(1,0,0,-1,-4.11,68.67)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,2.38,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> </text> </g> </g> </svg></td> </tr> <tr> <td align="left"></td> <td align="left">有关学位<年代vgheight="16.7125" id="M145" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 112.9625 16.7125" width="112.9625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.7125)"> <g transform="translate(72,-58.63)"> <text transform="matrix(1,0,0,-1,-71.95,61.91)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,58.78)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.0084162" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-55.21,61.91)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="18.116846" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="30.157236" y="0"> d</t年代pan> <tspan style="font-size: 12.50px; " x="36.408737" y="0"> e</t年代pan> <tspan style="font-size: 12.50px; " x="41.960068" y="0"> g</t年代pan> </text> <text transform="matrix(1,0,0,-1,-2.82,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,3.67,61.91)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> </text> </g> </g> </svg></td> </tr> <tr> <td align="center" colspan="2"> <hr></td> </tr> <tr> <td align="left">力量中心<年代vgheight="14.7125" id="M146" style="vertical-align:-3.22282pt" version="1.1" viewbox="0 0 33.424999 14.7125" width="33.424999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-59.96,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> </text> </g> </g> </svg></td> <td align="left"></td> </tr> <tr> <td align="left">灰度对称网络</td><td一个lign="left">强度<年代vgheight="13.45" id="M147" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 25.3125 13.45" width="25.3125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.5013199" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="9.6648188" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.991337" y="0"> )</t年代pan> </text> </g> </g> </svg>的顶点<年代vgheight="7.4250002" id="M148" style="vertical-align:-0.11285pt" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg></td> </tr> <tr> <td align="left">灰度assymetric网络</td><td一个lign="left">实力:<年代vgheight="14.7125" id="M149" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 89.525002 14.7125" width="89.525002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-57.24,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="18.116846" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="30.157236" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-21.57,68.5)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,-15.08,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> </text> </g> </g> </svg></td> </tr> <tr> <td align="left"></td> <td align="left">使劲:<年代vgheight="16.387501" id="M150" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 91.137497 16.387501" width="91.137497" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.3875)"> <g transform="translate(72,-58.89)"> <text transform="matrix(1,0,0,-1,-71.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,59.04)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.0084162" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-55.95,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="18.116846" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="30.157236" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-20.29,67.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,-13.79,62.16)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> </text> </g> </g> </svg></td> </tr> <tr> <td align="center" colspan="2"> <hr></td> </tr> <tr> <td align="left">最短路径的效率</td><td一个lign="left"> <svg height="18.35" id="M151" style="vertical-align:-5.08116pt" version="1.1" viewbox="0 0 209.85001 18.35" width="209.85001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.35)"> <g transform="translate(72,-57.32)"> <text transform="matrix(1,0,0,-1,-71.95,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,59.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="6.2489281" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-54.11,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="18.129351" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="30.157236" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="34.320736" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="40.572235" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="44.048069" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-3.84,59.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="6.2489281" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,8.82,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="6.25" y="0.029999999"> ∑</t年代pan> </text> <text transform="matrix(1,0,0,-1,26.49,58.73)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="5.6100321" y="0"> ≠</t年代pan> <tspan style="font-size: 8.75px; " x="13.057984" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,46.56,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,62.94,59.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,70.04,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="15.691265" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> )</t年代pan> </text> </g> </g> </svg>,在那里<年代vgheight="16.637501" id="M152" style="vertical-align:-4.77652pt" version="1.1" viewbox="0 0 76.337502 16.637501" width="76.337502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6375)"> <g transform="translate(72,-58.69)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.74,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="6.2489281" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-49.61,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.030046" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="32.370266" y="0"> 1</t年代pan> </text> </g> </g> </svg></td> </tr> <tr> <td align="center" colspan="2"> <hr></td> </tr> <tr> <td align="left" rowspan="2">最短路径Betweeness中心<年代vgheight="14.6" id="M153" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 33.599998 14.6" width="33.599998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6)"> <g transform="translate(72,-60.32)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-59.82,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> </text> </g> </g> </svg>的一个顶点<年代vgheight="10.75" id="M154" style="vertical-align:-0.33858pt" version="1.1" viewbox="0 0 39.924999 10.75" width="39.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.7898493" y="0"> ∈</t年代pan> <tspan style="font-size: 12.50px; " x="21.830238" y="0"> </t年代pan> </text> </g> </g> </svg></td> <td align="left"> <svg height="19.075001" id="M155" style="vertical-align:-5.6605pt" version="1.1" viewbox="0 0 283.03751 19.075001" width="283.03751" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.075)"> <g transform="translate(72,-56.74)"> <text transform="matrix(1,0,0,-1,-71.95,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,59.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-59.82,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="18.116846" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="30.157236" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="34.320736" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="40.572235" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="44.048069" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-9.55,59.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-2.61,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="6.2399998" y="0.029999999"> ∑</t年代pan> </text> <text transform="matrix(1,0,0,-1,15.06,58.73)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.8508799" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="9.8459997" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="14.8784" y="0"> ⧵</t年代pan> <tspan style="font-size: 8.75px; " x="19.455696" y="0"> {</t年代pan> <tspan style="font-size: 8.75px; " x="23.656656" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="28.085169" y="0"> }</t年代pan> </text> <text transform="matrix(1,0,0,-1,49.93,62.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∑</t年代pan> </text> <text transform="matrix(1,0,0,-1,61.36,58.73)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7393761" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="8.7344961" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="13.766896" y="0"> ⧵</t年代pan> <tspan style="font-size: 8.75px; " x="18.344193" y="0"> {</t年代pan> <tspan style="font-size: 8.75px; " x="22.545153" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="26.973663" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="29.161663" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="33.012543" y="0"> }</t年代pan> </text> <text transform="matrix(1,0,0,-1,99.07,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,110.57,59.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.8508799" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,117.66,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="14.653516" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="18.129351" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,143.13,59.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.8508799" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,150.22,62.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> </text> </g> </g> </svg>,在那里<年代vgheight="10.8375" id="M156" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 18.1625 10.8375" width="18.1625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8375)"> <g transform="translate(72,-63.33)"> <text transform="matrix(1,0,0,-1,-71.95,66.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-64.61,63.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.8508799" y="0"> </t年代pan> </text> </g> </g> </svg>是最短的数量吗<年代vgheight="13.45" id="M157" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 28.8125 13.45" width="28.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.6648188" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="14.866067" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.779507" y="0"> )</t年代pan> </text> </g> </g> </svg>路径</td></tgydF4y2Bar> <tr> <td align="left"> <svg height="14.7125" id="M158" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 36.474998 14.7125" width="36.474998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-64.61,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.8508799" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-57.52,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> </text> </g> </g> </svg>是最短的数量吗<年代vgheight="13.45" id="M159" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 28.8125 13.45" width="28.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.6648188" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="14.866067" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.779507" y="0"> )</t年代pan> </text> </g> </g> </svg>经过一些顶点路径<年代vgheight="7.4250002" id="M160" style="vertical-align:-0.11285pt" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>除了<年代vgheight="7.1875" id="M161" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 7 7.1875" width="7" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1875)"> <g transform="translate(72,-66.25)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,<年代vgheight="9.125" id="M162" style="vertical-align:-0.11285pt" version="1.1" viewbox="0 0 5.0124998 9.125" width="5.0124998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.125)"> <g transform="translate(72,-64.7)"> <text transform="matrix(1,0,0,-1,-71.95,64.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vgheight="14.6" id="M163" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 123.2375 14.6" width="123.2375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6)"> <g transform="translate(72,-60.32)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.74,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-55.32,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="16.191385" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.181042" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="36.521263" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="42.772762" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="46.93626" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="51.099762" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="60.101921" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="71.442139" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="77.693642" y="0"> )</t年代pan> </text> </g> </g> </svg>是一个常数正常化。</td></tgydF4y2Bar> <tr> <td align="center" colspan="2"> <hr></td> </tr> <tr> <td align="left" rowspan="7">Bonacich的特征向量中心</td><td一个lign="left"><span style="width: 142.2625px;"> <svg height="19.4125" id="M164" style="vertical-align:-5.35329pt" version="1.1" viewbox="0 0 142.2625 19.4125" width="142.2625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.4125)"> <g transform="translate(72,-56.47)"> <text transform="matrix(1,0,0,-1,-71.95,61.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.764123" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.952868" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="16.116367" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-49.51,58.73)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-46.29,61.86)"> <tspan style="font-size: 12.50px; " x="19.68" y="0.029999999"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="7.6393328" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,-15.18,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.9300003"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.4045279" y="9.9300003"> =</t年代pan> <tspan style="font-size: 8.75px; " x="9.3996477" y="9.9300003"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,1.17,61.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,10.86,58.73)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.4045279" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,17.49,61.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.188745" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="9.3522444" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,33.17,58.73)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,37.59,61.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="left">在矩阵表示法<年代vgheight="17.725" id="M165" style="vertical-align:-3.20526pt" version="1.1" viewbox="0 0 175.675 17.725" width="175.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.725)"> <g transform="translate(72,-57.82)"> <text transform="matrix(1,0,0,-1,-71.95,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.0146627" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.055052" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="25.218552" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.407295" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="34.570793" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-31.05,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,-26.17,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.553492" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="18.716991" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-1.12,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,3.75,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="9.3772497" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="23.955748" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="29.169498" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.358246" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="38.521744" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,48.6,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,53.45,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ]</t年代pan> </text> <text transform="matrix(1,0,0,-1,61.78,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,这个收益率:</td></tgydF4y2Bar> <tr> <td align="left"> <svg height="13.775" id="M166" style="vertical-align:-0.20064pt" version="1.1" viewbox="0 0 68.074997 13.775" width="68.074997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.775)"> <g transform="translate(72,-60.98)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.764123" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="27.819176" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-29.86,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-23.15,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。</td></tgydF4y2Bar> <tr> <td align="left">这种类型的方程是众所周知的,特征值和特征向量的求解<年代vgheight="13.775" id="M167" style="vertical-align:-0.20064pt" version="1.1" viewbox="0 0 26.35 13.775" width="26.35" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.775)"> <g transform="translate(72,-60.98)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-57.68,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。</td></tgydF4y2Bar> <tr> <td align="left">我们所说的特征向量<年代vgheight="17.512501" id="M168" style="vertical-align:-3.20526pt" version="1.1" viewbox="0 0 101.55 17.512501" width="101.55" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.5125)"> <g transform="translate(72,-57.99)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="20.367388" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="24.530886" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-41.91,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,-37.04,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="25.006001" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-6.53,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-1.68,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代pan> </text> <text transform="matrix(1,0,0,-1,2.48,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>的最大特征值<年代vgheight="13.775" id="M169" style="vertical-align:-0.20064pt" version="1.1" viewbox="0 0 68.074997 13.775" width="68.074997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.775)"> <g transform="translate(72,-60.98)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.764123" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="27.819176" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-29.86,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-23.15,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>主要特征向量。的特征向量中心节点<年代vgheight="11.3125" id="M170" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 12.0625 11.3125" width="12.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.3125)"> <g transform="translate(72,-62.95)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.62,63.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>被定义为:<年代vgheight="16.8125" id="M171" style="vertical-align:-4.74141pt" version="1.1" viewbox="0 0 115.425 16.8125" width="115.425" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.8125)"> <g transform="translate(72,-58.55)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="6.2489281" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-53.01,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-42.52,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-39.3,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="22.167818" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-11.63,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-8.41,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="2.5006001" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="5.9764342" y="0"> 为</t年代pan> <tspan style="font-size: 12.50px; " x="12.515503" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="17.379169" y="0"> 为</t年代pan> </text> <text transform="matrix(1,0,0,-1,15.51,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,</td></tgydF4y2Bar> <tr> <td align="left">的中心向量<年代vgheight="7.7375002" id="M172" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 6.1999998 7.7375002" width="6.1999998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.7375)"> <g transform="translate(72,-65.81)"> <text transform="matrix(1,0,0,-1,-71.95,66.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>规范化除以它的吗<年代vgheight="9.875" id="M173" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 7.7624998 9.875" width="7.7624998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.875)"> <g transform="translate(72,-64.1)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>规范</td></tgydF4y2Bar> <tr> <td align="left"> <svg height="21.9375" id="M174" style="vertical-align:-4.74141pt" version="1.1" viewbox="0 0 212.83749 21.9375" width="212.83749" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,21.9375)"> <g transform="translate(72,-54.45)"> <text transform="matrix(1,0,0,-1,-71.95,59.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</t年代pan> <tspan style="font-size: 12.50px; " x="6.5390692" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.402736" y="0"> 为</t年代pan> </text> <text transform="matrix(1,0,0,-1,-54.01,56.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-45.76,59.22)"> <tspan style="font-size: 12.50px; " x="16.200001" y="0.02"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> (</t年代pan> </text> <text transform="matrix(1,0,0,-1,-18.13,65.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.9399996"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="9.9399996"> =</t年代pan> <tspan style="font-size: 8.75px; " x="8.7169924" y="9.9399996"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,-2.45,59.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="2.5006001" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,5.55,56.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,8.77,59.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> </text> <text transform="matrix(1,0,0,-1,11.27,64.39)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,16.05,59.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,20.21,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> /</t年代pan> <tspan style="font-size: 8.75px; " x="6.8090558" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,35.97,59.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="9.7148314" y="0"> ≤</t年代pan> <tspan style="font-size: 12.50px; " x="21.75522" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="31.34502" y="0"> <</t年代pan> <tspan style="font-size: 12.50px; " x="43.372906" y="0"> ∞</t年代pan> <tspan style="font-size: 12.50px; " x="54.950684" y="0"> ,</t年代pan> </text> </g> </g> </svg>和<年代vgheight="16.8125" id="M175" style="vertical-align:-4.74141pt" version="1.1" viewbox="0 0 197.7375 16.8125" width="197.7375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.8125)"> <g transform="translate(72,-58.55)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</t年代pan> <tspan style="font-size: 12.50px; " x="6.5390692" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.402736" y="0"> 为</t年代pan> </text> <text transform="matrix(1,0,0,-1,-54.01,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-45.76,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="21.767723" y="0"> 一个</t年代pan> <tspan style="font-size: 12.50px; " x="27.319056" y="0"> x</t年代pan> </text> <text transform="matrix(1,0,0,-1,-8.02,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="8.7169924" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="13.092992" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="15.280992" y="0"> …</t年代pan> <tspan style="font-size: 8.75px; " x="24.032991" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="26.220991" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,23.05,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</t年代pan> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="8.5020399" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,37.05,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,40.27,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="2.5006001" y="0"> }</t年代pan> <tspan style="font-size: 12.50px; " x="12.665539" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.255341" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="34.295731" y="0"> ∞</t年代pan> </text> </g> </g> </svg>生产中心的分数<年代vgheight="14.7125" id="M176" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 56.150002 14.7125" width="56.150002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.188745" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="9.3522444" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-56.27,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-53.05,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≤</t年代pan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> 1</t年代pan> </text> </g> </g> </svg>。</td></tgydF4y2Bar> <tr> <td align="center" colspan="2"> <hr></td> </tr> <tr> <td align="left" rowspan="3">哈贝尔的中心</td><td一个lign="left"> <svg height="14.1625" id="M177" style="vertical-align:-0.51414pt" version="1.1" viewbox="0 0 98.224998 14.1625" width="98.224998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.1625)"> <g transform="translate(72,-60.67)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.0146627" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.055052" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="28.106745" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-29.57,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-22.86,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> </t年代pan> </text> </g> </g> </svg>在哪里<年代vgheight="17.725" id="M178" style="vertical-align:-3.20526pt" version="1.1" viewbox="0 0 175.675 17.725" width="175.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.725)"> <g transform="translate(72,-57.82)"> <text transform="matrix(1,0,0,-1,-71.95,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.0146627" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.055052" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="25.218552" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.407295" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="34.570793" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-31.05,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,-26.17,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.553492" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="18.716991" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-1.12,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,3.75,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="9.3772497" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="23.955748" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="29.169498" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.358246" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="38.521744" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,48.6,57.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,53.45,61.07)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> ]</t年代pan> </text> <text transform="matrix(1,0,0,-1,61.78,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vgheight="17.512501" id="M179" style="vertical-align:-3.20526pt" version="1.1" viewbox="0 0 118.225 17.512501" width="118.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.5125)"> <g transform="translate(72,-57.99)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.0146627" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.055052" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="25.218552" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-41.16,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,-36.29,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-25.51,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,-18.55,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="14.578498" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="19.779745" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,6.81,58.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,11.65,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代pan> </text> <text transform="matrix(1,0,0,-1,15.82,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。</td></tgydF4y2Bar> <tr> <td align="left">为了得到有意义的结果,<年代vgheight="7.1750002" id="M180" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 8.9375 7.1750002" width="8.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.175)"> <g transform="translate(72,-66.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>应该选择根据限制吗<年代vgheight="14.6" id="M181" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 61.287498 14.6" width="61.287498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6)"> <g transform="translate(72,-60.32)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="2.5006001" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.5397892" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="15.516223" y="0"> <</t年代pan> <tspan style="font-size: 12.50px; " x="27.556612" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="33.808113" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="37.283947" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-27.89,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> </g> </g> </svg>,在那里<年代vgheight="14.475" id="M182" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 14.675 14.475" width="14.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.475)"> <g transform="translate(72,-60.42)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.19,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> </text> </g> </g> </svg>是一个特征值的最大值<年代vgheight="10.575" id="M183" style="vertical-align:-0.20064pt" version="1.1" viewbox="0 0 17.9625 10.575" width="17.9625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.575)"> <g transform="translate(72,-63.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。</td></tgydF4y2Bar> <tr> <td align="left">这一限制在文献中没有提到。</td></tgydF4y2Bar> <tr> <td align="center" colspan="2"> <hr></td> </tr> <tr> <td align="left" rowspan="3">子图中心的顶点<年代vgheight="11.3125" id="M184" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 12.0625 11.3125" width="12.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.3125)"> <g transform="translate(72,-62.95)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.62,63.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg></td> <td align="left">它是由<年代vgheight="9.9250002" id="M185" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 4.9875002 9.9250002" width="4.9875002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.925)"> <g transform="translate(72,-64.06)"> <text transform="matrix(1,0,0,-1,-71.95,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>对角的条目<年代vgheight="10.7375" id="M186" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.7375)"> <g transform="translate(72,-63.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>邻接矩阵的力量,<年代vgheight="10.55" id="M187" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.55)"> <g transform="translate(72,-63.56)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg></td> </tr> <tr> <td align="left"> <svg height="17.4" id="M188" style="vertical-align:-3.8347pt" version="1.1" viewbox="0 0 150.08749 17.4" width="150.08749" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.4)"> <g transform="translate(72,-58.08)"> <text transform="matrix(1,0,0,-1,-71.95,61.95)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,58.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="5.6887999" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-53.98,61.95)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-43.49,58.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-40.27,61.95)"> <tspan style="font-size: 12.50px; " x="19.68" y="0.02"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="7.6393328" y="0"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,-9.16,68.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.9399996"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.7435842" y="9.9399996"> =</t年代pan> <tspan style="font-size: 8.75px; " x="10.738704" y="9.9399996"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,8.53,61.95)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,16.15,58.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,21.39,61.95)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0519323" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="12.215431" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="15.691265" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.467892" y="0"> !</t年代pan> </text> </g> </g> </svg>闭着的走:<年代vgheight="17.7875" id="M189" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 86.449997 17.7875" width="86.449997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.7875)"> <g transform="translate(72,-57.77)"> <text transform="matrix(1,0,0,-1,-71.95,61.05)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-64.34,57.92)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-59.09,61.05)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0519323" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="15.678762" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="27.719151" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="31.88265" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-18.24,66.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-13,61.05)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,-8.83,57.92)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> </g> </g> </svg>。</td></tgydF4y2Bar> <tr> <td align="left">用这种方法推广到灰度网络矩阵<年代vgheight="10.575" id="M190" style="vertical-align:-0.20064pt" version="1.1" viewbox="0 0 17.9625 10.575" width="17.9625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.575)"> <g transform="translate(72,-63.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>为<年代vgheight="10.55" id="M191" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.55)"> <g transform="translate(72,-63.56)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。</td></tgydF4y2Bar> <tr> <td align="left" rowspan="2">网络熵</td><td一个lign="left"><span style="width: 245.64999px;"> <svg height="21.9625" id="M192" style="vertical-align:-5.35329pt" version="1.1" viewbox="0 0 245.64999 21.9625" width="245.64999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,21.9625)"> <g transform="translate(72,-54.43)"> <text transform="matrix(1,0,0,-1,-71.95,59.82)"> <tspan style="font-size: 12.50px; " x="16.23" y="-2.54"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.700001" y="0.02"> ∑</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="15.08" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.369728" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="32.009064" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="44.04945" y="0"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,-5.82,56.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> ,</t年代pan> <tspan style="font-size: 8.75px; " x="4.9098721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,5.6,59.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,13.21,56.7)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,23.3,59.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ̂</t年代pan> <tspan style="font-size: 12.50px; " x="-6.8641472" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,22.54,56.7)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,31.77,59.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> l</t年代pan> <tspan style="font-size: 12.50px; " x="3.4758339" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> g</t年代pan> <tspan style="font-size: 12.50px; " x="29.106983" y="0"> ̂</t年代pan> <tspan style="font-size: 12.50px; " x="22.242838" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,60.12,56.7)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,70.74,59.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.04" y="0.02"> ∑</t年代pan> </text> <text transform="matrix(1,0,0,-1,94.21,56.12)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,99.51,59.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,107.11,56.7)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,110.33,59.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,121.25,56.7)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="left">生产上面的方程,我们设定一个马尔可夫矩阵<年代vgheight="16.424999" id="M193" style="vertical-align:-4.77652pt" version="1.1" viewbox="0 0 55.787498 16.424999" width="55.787498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.425)"> <g transform="translate(72,-58.86)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.890113" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="22.930502" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="27.094002" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-38.73,60.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="2.7218721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-31.59,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</t年代pan> </text> </g> </g> </svg>是随机过程,定义了信息来源和其平稳分布<年代vgheight="10.5375" id="M194" style="vertical-align:-0.16302pt" version="1.1" viewbox="0 0 73.974998 10.5375" width="73.974998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.5375)"> <g transform="translate(72,-63.57)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.065155" y="0"> ∶</t年代pan> <tspan style="font-size: 12.50px; " x="20.930021" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="28.531845" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="39.434464" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="51.47485" y="0"> </t年代pan> </text> </g> </g> </svg>。</td></tgydF4y2Bar> <tr class="table-tr"> <td colspan="2"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表1</年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/cin/2011/747290/tab1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 网络和顶点在BrainNetVis指标可用。</dgydF4y2Baiv> </div> </div> <p>其他重要的全球网络度量,包括工具,<gydF4y2Bai>选型混合</gydF4y2Bai>。这个特性捕捉网络相邻顶点的属性之间的相似性。直观地说,这种方法捕捉网络的趋势顶点连接顶点相似度(高度高的连接度和低度较低的连接度)或顶点有不同程度(高度较低的连接度)。纽曼(<一个href="#B27">33</一个>)提出了一个有趣的措施量化(不同)相邻顶点之间的相似程度,使用选型混合网络中,给出的每对相邻顶点的属性之间的相关性。每个顶点可能分配一个标量,如中心测量网络中顶点的位置,或一组标量属性。然后,assortativity系数定义为一个无向图(样本)皮尔森积差相关系数。这个表中给出了计算公式<一个href="//www.newsama.com/journals/cin/2011/747290/tab1/" target="_blank">1</一个>,它是对称的形式写的。这个方程也可以用来指示图,只需忽略边缘的方向。</gydF4y2Bap> <p>assortativity的价值系数,<年代vgheight="7.0124998" id="M195" style="vertical-align:-0.0pt;width:6.5px;" version="1.1" viewbox="0 0 6.5 7.0124998" width="6.5" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.0125)"> <g transform="translate(72,-66.39)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,位于范围<年代vgheight="12.3" id="M196" style="vertical-align:-1.29163pt;width:71.612503px;" version="1.1" viewbox="0 0 71.612503 12.3" width="71.612503" 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"> −</t年代pan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> ≤</t年代pan> <tspan style="font-size: 12.50px; " x="30.319775" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.896832" y="0"> ≤</t年代pan> <tspan style="font-size: 12.50px; " x="50.937222" y="0"> 1</t年代pan> </text> </g> </g> </svg>,<年代vgheight="10.6875" id="M197" style="vertical-align:-0.0pt;width:33.700001px;" version="1.1" viewbox="0 0 33.700001 10.6875" width="33.700001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6875)"> <g transform="translate(72,-63.45)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="20.604944" y="0"> 1</t年代pan> </text> </g> </g> </svg>完美的assortativity和指示<年代vgheight="10.6875" id="M198" style="vertical-align:-0.0pt;width:44.412498px;" version="1.1" viewbox="0 0 44.412498 10.6875" width="44.412498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6875)"> <g transform="translate(72,-63.45)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="20.604944" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="29.169498" y="0"> 1</t年代pan> </text> </g> </g> </svg>表明完美disassortativity(完美的属性之间的负相关考虑顶点的边)。大脑功能网络往往是选型(<一个href="#B20">34</一个>,<gydF4y2Ba一个href="#B6">35</一个>]。从计算研究,发现通过选型网络信息变得容易转移相比,在非选型网络(<一个href="#B38">36</一个>]。</gydF4y2Bap> <p><span class="statement" id="head4"><span class="statement-title"><i class="statement-title">全球网络BrainNetVis指标</gydF4y2Bai></span><br>BrainNetVis允许提到的计算遵循全球网络指标<gydF4y2Bai>工具</gydF4y2Bai>菜单(见图<一个href="//www.newsama.com/journals/cin/2011/747290/fig2/" target="_blank">2</一个>)。一个酒鬼病人继续前面的示例,我们应用简单<gydF4y2Bai>聚类系数</gydF4y2Bai>和<gydF4y2Bai>选型混合</gydF4y2Bai>。</年代pan></p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig2"> <div class="floats-partial-content fig-content-fig2"> <div class="partial-carousel--single-image"> <img alt="" name="747290.fig.002" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.002.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图2</年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/cin/2011/747290/fig2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 一个菜单截图描述全球网络指标的选择。</t一个ble> </div> </div> </div> <h6 id="sec3.3.2">3.3.2。顶点Metrics-Centrality措施</gydF4y2Bah6> <p>上述有关全球网络指标。存在一个显著的兴趣本地网络属性,它专注于感兴趣的一个节点。这些属性是非常重要的,因为在当地规模我们可以检测哪些顶点最相关的组织和功能网络。这些当地的措施通常命名<gydF4y2Bai>中心的措施</gydF4y2Bai>(或中心地位指数)和已被证明是很有价值的分析个人在社交网络上所扮演的角色和在识别至关重要的蛋白质,关键物种,功能重要的脑区。</gydF4y2Bap> <p><span class="statement" id="head5"><span class="statement-title"><i class="statement-title">基于社区的中心地位的措施</gydF4y2Bai></span><br>最简单、最基本的中心措施<gydF4y2Bai>学位中心</gydF4y2Bai> <svg height="14.6" id="M199" style="vertical-align:-3.13504pt;width:34.362499px;" version="1.1" viewbox="0 0 34.362499 14.6" width="34.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.6)"> <g transform="translate(72,-60.32)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.76,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-59.22,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> </text> </g> </g> </svg>的一个顶点<年代vgheight="7.4250002" id="M200" style="vertical-align:-0.11285pt;width:8.0375004px;" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。在实践中,这是感兴趣的邻居节点的数量。尽管这个概念的简单性,学位是最基本的网络测量和大多数其他中心措施都与它。学位中心的定义,包括直接的和间接的网络提供了表<一个href="//www.newsama.com/journals/cin/2011/747290/tab1/" target="_blank">1</一个>。<gydF4y2Babr>灰度的网络,而不是使用这个词<gydF4y2Bai>学位中心</gydF4y2Bai>,我们使用术语<gydF4y2Bai>力量中心</gydF4y2Bai>。公式强度中心相应的(表定义<一个href="//www.newsama.com/journals/cin/2011/747290/tab1/" target="_blank">1</一个>)。提出了在BrainNetVis、力量中心<gydF4y2Bai>标准化学位中心</gydF4y2Bai>。这是当用户选择访问<gydF4y2Bai>归一化指标</gydF4y2Bai>在工具<年代vgheight="9.4375" id="M201" style="vertical-align:-0.5643pt;width:18.9375px;" version="1.1" viewbox="0 0 18.9375 9.4375" width="18.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.4375)"> <g transform="translate(72,-64.45)"> <text transform="matrix(1,0,0,-1,-71.95,65.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⇒</t年代pan> </text> </g> </g> </svg>网络指标的选择<年代vgheight="9.4375" id="M202" style="vertical-align:-0.5643pt;width:18.9375px;" version="1.1" viewbox="0 0 18.9375 9.4375" width="18.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.4375)"> <g transform="translate(72,-64.45)"> <text transform="matrix(1,0,0,-1,-71.95,65.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⇒</t年代pan> </text> </g> </g> </svg>General选项卡和规范边缘值的范围从0到1。</年代pan></p> <p><span class="statement" id="head6"><span class="statement-title"><i class="statement-title">基于距离的中心地位的措施</gydF4y2Bai></span><br>另一组有用的措施<gydF4y2Bai>基于距离的中心地位的措施</gydF4y2Bai>,这意味着距离信息必须覆盖,以通过网络传输。第一指标属于这一类<gydF4y2Bai>亲密关系中心</gydF4y2Bai>。亲密关系可以视为衡量多长时间的信息传播从一个给定的顶点到其他网络。设置<年代vgheight="13.45" id="M203" style="vertical-align:-2.21957pt;width:68.050003px;" version="1.1" viewbox="0 0 68.050003 13.45" width="68.050003" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.640533" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="24.680922" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="28.844421" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="36.033646" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="41.247398" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.174538" y="0"> )</t年代pan> </text> </g> </g> </svg>作为一个无向图,顶点的最短路径接近中心<年代vgheight="10.75" id="M204" style="vertical-align:-0.33858pt;width:39.924999px;" version="1.1" viewbox="0 0 39.924999 10.75" width="39.924999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.7898493" y="0"> ∈</t年代pan> <tspan style="font-size: 12.50px; " x="21.830238" y="0"> </t年代pan> </text> </g> </g> </svg>被定义为的逆测地线距离顶点意味着什么<年代vgheight="7.4250002" id="M205" style="vertical-align:-0.11285pt;width:8.0375004px;" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>其他vertexe。这个指标的一个严重的缺点是它只能用于连接图。一个新的措施,<gydF4y2Bai>最短路径的效率</gydF4y2Bai>,提出了Latora Marchiori [<一个href="#B23">37</一个>在应用程序BrainNetVis)和实现。</年代pan></p> <p>为一个顶点<年代vgheight="7.4250002" id="M206" style="vertical-align:-0.11285pt;width:8.0375004px;" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,Latora Marchiori效率定义为<年代pan class="equation" id="EEq7"> <svg height="41.5625" id="M207" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 41.5625" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,41.5625)"> <g transform="translate(72,-38.75)"> <text transform="matrix(1,0,0,-1,138.45,56.25)"> <tspan style="font-size: 12.50px; " x="57.610001" y="-7.25"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.5638351" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="16.078857" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="20.242357" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.568874" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="34.208206" y="0"> =</t年代pan> </text> <g> <path d="m 185.89,59.37 26.59,0" 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,-1,185.89,47.49)"> <tspan style="font-size: 12.50px; " x="28.450001" y="-2.2"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,213.68,42.64)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="5.6012802" y="0"> ≠</t年代pan> <tspan style="font-size: 8.75px; " x="13.049232" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,250.05,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代pan> </text> <g> <path d="m 232.36,59.37 41.62,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,232.36,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,239.01,44.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,248.19,47.5)"> <tspan style="font-size: 12.50px; " x="26.99" y="-8.75"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="15.691265" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="219.67999" y="-4.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="223.84351" y="-4.75"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="230.095" y="-4.75"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="236.3465" y="-4.75"> )</t年代pan> </text> </g> </g> </svg></span></p> <p>表中提供的公式<一个href="//www.newsama.com/journals/cin/2011/747290/tab1/" target="_blank">1</一个>。</gydF4y2Bap> <p>请注意,(<一个href="#EEq7">12</一个>)也可以用于断开连接图。如果一些顶点<年代vgheight="7.4250002" id="M208" style="vertical-align:-0.11285pt;width:8.0375004px;" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vgheight="7.1624999" id="M209" style="vertical-align:-0.11285pt;width:7.5374999px;" version="1.1" viewbox="0 0 7.5374999 7.1624999" width="7.5374999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>不连接,那么他们不会导致吗<年代vgheight="13.6125" id="M210" style="vertical-align:-2.34499pt;width:34.075001px;" version="1.1" viewbox="0 0 34.075001 13.6125" width="34.075001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.5638351" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.503" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="16.666498" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.993017" y="0"> )</t年代pan> </text> </g> </g> </svg>。在这种情况下,<年代vgheight="14.725" id="M211" style="vertical-align:-3.24037pt;width:206.05px;" version="1.1" viewbox="0 0 206.05 14.725" width="206.05" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.725)"> <g transform="translate(72,-60.22)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.3,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-58.2,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="15.691265" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.257021" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="41.297409" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="49.861965" y="0"> ∞</t年代pan> <tspan style="font-size: 12.50px; " x="64.903076" y="0"> ⇒</t年代pan> <tspan style="font-size: 12.50px; " x="79.956688" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="86.208183" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="89.684021" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,38.14,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,45.24,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="15.691265" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="29.257021" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="41.297409" y="0"> 0</t年代pan> </text> </g> </g> </svg>。全球效率,<年代vgheight="13.6125" id="M212" style="vertical-align:-2.34499pt;width:37.637501px;" version="1.1" viewbox="0 0 37.637501 13.6125" width="37.637501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.5638351" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.503" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="16.666498" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.8437" y="0"> )</t年代pan> </text> </g> </g> </svg>的图是平均的<年代vgheight="13.6125" id="M213" style="vertical-align:-2.34499pt;width:34.075001px;" version="1.1" viewbox="0 0 34.075001 13.6125" width="34.075001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.5638351" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.503" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="16.666498" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.993017" y="0"> )</t年代pan> </text> </g> </g> </svg>接管所有顶点(<一个href="#B23">37</一个>]<gydF4y2Ba年代pan class="equation" id="EEq8"> <svg height="41.5625" id="M214" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 41.5625" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,41.5625)"> <g transform="translate(72,-38.75)"> <text transform="matrix(1,0,0,-1,82.67,56.25)"> <tspan style="font-size: 12.50px; " x="50.549999" y="-7.25"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.5638351" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="16.078857" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="20.242357" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.669619" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.308952" y="0"> =</t年代pan> </text> <g> <path d="m 133.22,59.37 6.25,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,133.24,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0600004" y="-2.2"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,140.66,42.72)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.4285121" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="10.423632" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,158.09,56.25)"> <tspan style="font-size: 12.50px; " x="65.93" y="-7.25"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.5638351" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="16.078857" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="20.242357" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.568874" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="34.208206" y="0"> =</t年代pan> </text> <g> <path d="m 205.54,59.37 43.21,0" 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,-1,205.54,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.040001" y="-2.2"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.29" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.453499" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.443155" y="-0.0099999998"> −</t年代pan> <tspan style="font-size: 12.50px; " x="32.783379" y="-0.0099999998"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="39.034878" y="-0.0099999998"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,249.94,42.72)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.4285121" y="0"> ∈</t年代pan> <tspan style="font-size: 8.75px; " x="10.423632" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,270.12,49.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,269.45,42.64)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="5.6100321" y="0"> ≠</t年代pan> <tspan style="font-size: 8.75px; " x="13.057984" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,305.82,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代pan> </text> <g> <path d="m 288.14,59.37 41.62,0" 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,-1,288.14,47.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,294.79,44.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,303.97,47.5)"> <tspan style="font-size: 12.50px; " x="26.99" y="-8.75"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="15.691265" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="163.89999" y="-4.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="168.06349" y="-4.75"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="174.315" y="-4.75"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="180.5665" y="-4.75"> )</t年代pan> </text> </g> </g> </svg></span></p> <p>除了<gydF4y2Bai>最短路径的效率</gydF4y2Bai>,我们很感兴趣<gydF4y2Bai>最短路径中间性中心</gydF4y2Bai>。在这个指标,另外两个节点,除了中央顶点<gydF4y2Bai>v</gydF4y2Bai>涉及。我们称这些节点<gydF4y2Bai>年代</gydF4y2Bai>和<gydF4y2Bai>t</gydF4y2Bai>,分别。这个指标直观的数量是指连接顶点的最短路径<年代vgheight="7.1875" id="M215" style="vertical-align:-0.13794pt;width:7px;" version="1.1" viewbox="0 0 7 7.1875" width="7" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1875)"> <g transform="translate(72,-66.25)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vgheight="9.125" id="M216" style="vertical-align:-0.11285pt;width:5.0124998px;" version="1.1" viewbox="0 0 5.0124998 9.125" width="5.0124998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.125)"> <g transform="translate(72,-64.7)"> <text transform="matrix(1,0,0,-1,-71.95,64.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>通过顶点<年代vgheight="7.4250002" id="M217" style="vertical-align:-0.11285pt;width:8.0375004px;" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。在表中提供的公式<一个href="//www.newsama.com/journals/cin/2011/747290/tab1/" target="_blank">1</一个>相应的数字<年代vgheight="14.7125" id="M218" style="vertical-align:-3.2316pt;width:58.849998px;" version="1.1" viewbox="0 0 58.849998 14.7125" width="58.849998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-64.61,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.8508799" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-57.52,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="14.653516" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="18.129351" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-32.05,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="3.8508799" y="0"> </t年代pan> </text> </g> </g> </svg>解释为顶点的程度吗<年代vgheight="7.4250002" id="M219" style="vertical-align:-0.11285pt;width:8.0375004px;" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.425)"> <g transform="translate(72,-66.06)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>控制顶点之间的通信<年代vgheight="7.1875" id="M220" style="vertical-align:-0.13794pt;width:7px;" version="1.1" viewbox="0 0 7 7.1875" width="7" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1875)"> <g transform="translate(72,-66.25)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和<年代vgheight="9.125" id="M221" style="vertical-align:-0.11285pt;width:5.0124998px;" version="1.1" viewbox="0 0 5.0124998 9.125" width="5.0124998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.125)"> <g transform="translate(72,-64.7)"> <text transform="matrix(1,0,0,-1,-71.95,64.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。一个顶点被认为是中央,如果它是许多成对的其他顶点之间。最短路径中间性中心可以推广到灰度网络路径的长度等于其边缘的长度的总和。</gydF4y2Bap> <p><span class="statement" id="head7"><span class="statement-title"><i class="statement-title">中心在BrainNetVis措施基于社区和距离</gydF4y2Bai></span><br>我们应用上述类型的中心措施同步矩阵的酒精患者的脑电图。图<一个href="//www.newsama.com/journals/cin/2011/747290/fig3/" target="_blank">3</一个>描述个人的可视化的大脑网络使用<gydF4y2Bai>静态可视化方法</gydF4y2Bai>。的<gydF4y2Bai>二进制网络</gydF4y2Bai>使用阈值= 0.4已经被选择。中心措施是计算<gydF4y2Bai>学位中心</gydF4y2Bai>,<gydF4y2Bai>最短路径的效率</gydF4y2Bai>和<gydF4y2Bai>最短路径中间性中心</gydF4y2Bai>。他们描绘各自的桌子上,相同的图所示。图和表的指标可以通过下面的创建<gydF4y2Bai>视图</gydF4y2Bai>菜单。</年代pan></p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig3"> <div class="floats-partial-content fig-content-fig3"> <div class="partial-carousel--single-image"> <img alt="" name="747290.fig.003" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.003.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图3</年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/cin/2011/747290/fig3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 中心措施为虚拟酒精患者基于社区和在BrainNetVis距离。图已经被这些后的计算方法对宽带活动。</t一个ble> </div> </div> </div> <p><span class="statement" id="head8"><span class="statement-title"><i class="statement-title">光谱中心措施</gydF4y2Bai></span><br>另一组的计算是基于网络指标<gydF4y2Bai>特征向量</gydF4y2Bai>网络的邻接矩阵,在预处理步骤。它们中的大多数都是通过求解一个线性方程计算系统。这些措施被称为<gydF4y2Bai>光谱中心措施。Bonacich的特征向量中心</gydF4y2Bai>就是其中之一根据每个顶点的中心地位成正比的总和的中心是直接连接的顶点。相应的公式提出了表<一个href="//www.newsama.com/journals/cin/2011/747290/tab1/" target="_blank">1</一个>。<gydF4y2Babr>扩大简单Bonacich的特征向量中心,哈贝尔(<一个href="#B18">38</一个>)提出另一个中心测量基于线性方程组的解。<gydF4y2Bai>哈贝尔的中心</gydF4y2Bai>使用一个方法基于定向加权图的边的权重可能是实数。的一般假设哈贝尔的中心类似于Bonacich的想法,但是一个顶点的中心都取决于其连接到其他顶点和外源输入有时被称为边界条件。在这种情况下,我们包括一个输入方程<年代vgheight="13.775" id="M222" style="vertical-align:-0.20064pt;width:68.074997px;" version="1.1" viewbox="0 0 68.074997 13.775" width="68.074997" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.775)"> <g transform="translate(72,-60.98)"> <text transform="matrix(1,0,0,-1,-71.95,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.764123" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="27.819176" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-29.86,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-23.15,61.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>这描述了Bonacich的特征向量中心。结果显示在表中<一个href="//www.newsama.com/journals/cin/2011/747290/tab1/" target="_blank">1</一个>。这个公式封装内生和外生因素的相对重要性在中心的决心。<gydF4y2Babr>下一个光谱测量中的重要性,<gydF4y2Bai>子图中心</gydF4y2Bai>,介绍了埃斯特拉达et al。<一个href="#B12">39</一个>]。它计算的加权和的封闭走数图,长走接受体重低于短的。相对于网络的子图是短的长度的数量<年代vgheight="10.7375" id="M223" style="vertical-align:-0.13794pt;width:8.6000004px;" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.7375)"> <g transform="translate(72,-63.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>开始和结束点<年代vgheight="11.3125" id="M224" style="vertical-align:-3.2316pt;width:12.0625px;" version="1.1" viewbox="0 0 12.0625 11.3125" width="12.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.3125)"> <g transform="translate(72,-62.95)"> <text transform="matrix(1,0,0,-1,-71.95,66.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.62,63.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>。这个数字是象征<年代vgheight="14.7125" id="M225" style="vertical-align:-3.2316pt;width:31.4625px;" version="1.1" viewbox="0 0 31.4625 14.7125" width="31.4625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-64.34,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-59.09,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0519323" y="0"> )</t年代pan> </text> </g> </g> </svg>餐桌上<一个href="//www.newsama.com/journals/cin/2011/747290/tab1/" target="_blank">1</一个>。<gydF4y2Babr>最后但并非最不重要的,一个非常有趣的想法是由狄米特律斯:et al。<一个href="#B16">40</一个>),描述<gydF4y2Bai>网络熵</gydF4y2Bai>。证据提出了,这个量与网络的能力能够承受随机网络结构的变化。网络熵是基于Kolmogorov-Sinai (KS)熵,它是一个泛化的香农熵,它描述了随机过程的速率生成信息。在我们的环境中,信息对应的顶点序列访问网络上的一个假定的马尔可夫过程。网络熵的影响考虑顶点删除网络上的。这是被的产品<年代vgheight="14.3625" id="M226" style="vertical-align:-3.2316pt;width:31.325001px;" version="1.1" viewbox="0 0 31.325001 14.3625" width="31.325001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.3625)"> <g transform="translate(72,-60.51)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-64.35,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-61.13,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-50.21,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>各自定义的表<一个href="//www.newsama.com/journals/cin/2011/747290/tab1/" target="_blank">1</一个>。感兴趣的读者能找到更详细的信息(<一个href="#B35">41</一个>]。</年代pan></p> <p><span class="statement" id="head9"><span class="statement-title"><i class="statement-title">光谱BrainNetVis中心措施</gydF4y2Bai></span><br>我们应用上述类型的中心措施同步矩阵的酒精患者的脑电图。使用链接的<gydF4y2Bai>工具</gydF4y2Bai>菜单,我们计算了<gydF4y2Bai>Bonacich的特征向量中心</gydF4y2Bai>,<gydF4y2Bai>哈贝尔的中心</gydF4y2Bai>,<gydF4y2Bai>子图中心</gydF4y2Bai>,<gydF4y2Bai>网络Entrophy</gydF4y2Bai>。可以定义一个网络,他希望工作的类型(二进制或灰度)并选择阈值。</年代pan></p> <h5 id="sec3.4">3.4。图形绘制技术</gydF4y2Bah5> <p>关于大脑的方式描述,BrainNetVis工具包含了三种不同的可视化跟踪。</gydF4y2Bap> <h6 id="sec3.4.1">3.4.1。静态可视化方法</gydF4y2Bah6> <p>在这种方法中,以可视化出现的拓扑网络,我们创建一个静态框架,每个电极由节点放置在一个位置描述类似于实际的人类大脑皮层电极上的立场。根据每个实验的电极的数量,一个椭圆形概述(对应于头皮)和在这个椭圆形状,一个数字<年代vgheight="10.575" id="M227" style="vertical-align:-0.20064pt;width:12.625px;" version="1.1" viewbox="0 0 12.625 10.575" width="12.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.575)"> <g transform="translate(72,-63.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>的圈子里存在对应电极放置在实验受试者的头上。</gydF4y2Bap> <h6 id="sec3.4.2">3.4.2。多维标度</gydF4y2Bah6> <p>多维标度(MDS)是一个家庭的复杂的数据分析和可视化的技术。MDS的“美丽”是我们可以分析任何一种距离或相似矩阵,除了相关矩阵。对象数据集表示为点在几何空间;在这个空间距离代表接近或对象之间的相似性。在我们的例子中,对象是电极和它们之间的距离是各自的同步的相关矩阵。一般来说,分析的目的是发现有意义的潜在的电极之间的联系反映了不同脑功能区域之间的联系。在<gydF4y2Bai>BrainNetVis</gydF4y2Bai>,我们把2 d可视化的电极之间的联系。在这一点上,它必须注意到,我们使用的更多的维度为了繁殖的距离矩阵,更好的复制的配合是矩阵的观测矩阵(即。压力越小)。事实上,如果我们使用尽可能多的维度有变量,我们就可以完全再现观测距离矩阵。当然,我们的目标是减少观察自然的复杂性,也就是说,少解释距离矩阵的潜在维度。一些范例的多维标度图所示<一个href="//www.newsama.com/journals/cin/2011/747290/fig4/" target="_blank">4</一个></p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig4"> <div class="floats-partial-content fig-content-fig4"> <div class="partial-carousel--single-image"> <img alt="(一)”name="747290.fig.004a" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.004a.jpg"> <br> <strong>(一)</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(b)”name="747290.fig.004b" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.004b.jpg"> <br> <strong>(b)</年代trong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig4"> <button class="partial-carousel-dot" aria-label="(a)"><img alt="(一)”name="747290.fig.004a" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.004a.jpg"><br><strong>(一)</年代trong></button> <button class="partial-carousel-dot" aria-label="(b)"><img alt="(b)”name="747290.fig.004b" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.004b.jpg"><br><strong>(b)</年代trong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig4"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图4</年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/cin/2011/747290/fig4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 多维标度。</t一个ble> </div> </div> </div> <h6 id="sec3.4.3">3.4.3。部队或指定算法</gydF4y2Bah6> <p>这些是一类算法绘制图表美观的方式。他们的目的是位置的节点图的二维或三维空间,这样所有的边都是或多或少的相同的长度和尽可能少的交叉边缘。被分配部队指定算法实现这一组中边缘节点的集合;最简单的方法是分配部队好像边缘弹簧(见胡克定律),节点是带电粒子(见库仑定律)。然后整个图形模拟,就好像它是一个物理系统。其节点之间的力量改变动力学和系统的布局在某种程度上达到平衡状态:在那一刻,所绘制的图。指定图形,还可以采用更直接的机制,寻找能量最小值,而不是或结合物理模拟。这些机制之一是二进制的压力(bStress),这是一个我们已经融入我们的工具。这个模型桥的两个最受欢迎的力量导演前不久压力和electrical-spring到二进制压力成本函数,这是一个仔细定义能量函数描述复杂性较低,允许通过Barnes-Hut快速计算方案。电动弹簧和压力的方法享受成功的实现和提供的许多图表布局。 Electric-spring models have the advantage of a lower descriptive complexity compared to the stress model. On the other hand, the stress function has a mild landscape, which allows utilizing powerful optimization techniques such as majorization. This way, good minima are usually achieved regardless of the initial positions. As far as the binary stress model is concerned, computationally, it is able to merge the advantages of both the electric-spring model and the stress model. Namely, it offers a low descriptive complexity, while at the same time, it is similar in its form to the known stress function, thus enabling the use of the majorization optimization scheme. More than other models, bStress emphasizes uniform spread of the nodes within a circular drawing area. In addition, bStress is suitable for drawing large graphs, not only because of its improved scalability, but also because it achieves good area utilization. Some exemplar views of binary stress visualization scaling are shown in Figure<一个href="//www.newsama.com/journals/cin/2011/747290/fig5/" target="_blank">5</一个></p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig5"> <div class="floats-partial-content fig-content-fig5"> <div class="partial-carousel--single-image"> <img alt="(一)”name="747290.fig.005a" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.005a.jpg"> <br> <strong>(一)</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(b)”name="747290.fig.005b" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.005b.jpg"> <br> <strong>(b)</年代trong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig5"> <button class="partial-carousel-dot" aria-label="(a)"><img alt="(一)”name="747290.fig.005a" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.005a.jpg"><br><strong>(一)</年代trong></button> <button class="partial-carousel-dot" aria-label="(b)"><img alt="(b)”name="747290.fig.005b" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.005b.jpg"><br><strong>(b)</年代trong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig5"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图5</年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/cin/2011/747290/fig5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 二进制的压力。</t一个ble> </div> </div> </div> <p>中可以找到更多信息图绘制技术(<一个href="#B15">13</一个>]。</gydF4y2Bap> <p>当我们选择可视化图表使用静态可视化方法,网络指标的变化并不是描述输出面板上;这是因为电极位置是稳定和设置从一开始。然而,计算结果保存在一个矩阵的变化是由最终用户访问。另一方面,在多维和二进制应力建模中,时发生的影响网络指标改变其值变化后立即进行描述。</gydF4y2Bap> <p>可以设置显示选项之一他/她的偏好,例如,建立图的顶点和边的方式将显示出来。网络的节点而言,他们可以安排他们的尺寸,一个颜色(<gydF4y2Bai>统一的</gydF4y2Bai>或<gydF4y2Bai>colormap</gydF4y2Bai>)和节点的描述标签。关于边缘,存在三个选项的颜色:<gydF4y2Bai>统一的</gydF4y2Bai>为指导网络,<gydF4y2Bai>灰度</gydF4y2Bai>灰度网络(灰色的阴影强度对应于各自的边缘的强度),和<gydF4y2Bai>colormap</gydF4y2Bai>。<gydF4y2Bai>Colormap</gydF4y2Bai>还用于灰度的情况下使用网络,但在这种情况下颜色:色彩是红色,越接近各自的边缘强度越大,越接近的色调是蓝色,边缘的强度越小。此外,一个可以调整大小的边缘,这是否将被引导。图<一个href="//www.newsama.com/journals/cin/2011/747290/fig6/" target="_blank">6</一个>描述了大脑的虚拟控制主体使用二进制和colormap网络。在这两种情况下,阈值设置为0.5。</gydF4y2Bap> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig6"> <div class="floats-partial-content fig-content-fig6"> <div class="partial-carousel--single-image"> <img alt="(一)”name="747290.fig.006a" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.006a.jpg"> <br> <strong>(一)</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(b)”name="747290.fig.006b" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.006b.jpg"> <br> <strong>(b)</年代trong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig6"> <button class="partial-carousel-dot" aria-label="(a)"><img alt="(一)”name="747290.fig.006a" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.006a.jpg"><br><strong>(一)</年代trong></button> <button class="partial-carousel-dot" aria-label="(b)"><img alt="(b)”name="747290.fig.006b" src="https://static-01.hindawi.com/articles/cin/volume-2011/747290/figures/747290.fig.006b.jpg"><br><strong>(b)</年代trong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig6"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图6</年代pan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/cin/2011/747290/fig6/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 静态可视化虚拟控制的同步矩阵使用(a)二进制网络和(b)灰度网络。没有鳞片的灰色,而是边colormap规模中描述。照片都是用这些宽带活动的方法。</t一个ble> </div> </div> </div> <h4 id="conclusion">4所示。结论</gydF4y2Bah4> <p>使用BrainNetVis,可以想象和量化连接大脑的,基于脑电图或梅格获得信号。大脑内部连接是被描绘成图;不同的传感器位置(电极)可视化边缘节点和它们之间的联系。因此,科学家和医生将能够得到更好的洞察力有关大脑连接和功能,推导出更准确的结果。我们测试了该工具利用酒精中毒患者的脑电图数据(<一个href="#B42">7</一个>]。我们因此能够调查一些脑电图的大脑结构特性和临床数据不会显示。这个工具可以很容易地使用的感兴趣的研究人员,并通过http://www.ics.forth.gr/bmi/tools.html访问。它运行在每个操作系统都有安装JRE。未来的工作包括预处理方法中提到相同的支持直观的环境和欧洲的支持二进制数据格式(EDF)。目前,支持简单的ASCii文本格式,原因简单性和灵活性。</gydF4y2Bap> <h4 id="appendix">附录</gydF4y2Bah4> <p>我们在座的总结指标用于BrainNetVis及其放置在工具菜单下。主菜单当GUI打开包含选项:<gydF4y2Bai>文件、视图、工具窗口,和帮助。</gydF4y2Bai></p> <p><span class="statement" id="head10"><span class="statement-title"><i class="statement-title">文件</gydF4y2Bai></span><br>这个下拉菜单包含以下选项卡。<年代pan class="list"><span class="list-item"><span class="list-label">(我)</年代pan><span class="list-content"><i>进口</gydF4y2Bai>。这个选项卡后,用户可以输入灰度矩阵对应于感兴趣的网络以及顶点坐标。对于这些需要他可以浏览他的电脑文件。</年代pan></span><span class="list-item"><span class="list-label">(2)</年代pan><span class="list-content"><i>出口</gydF4y2Bai>。它是用来出口的生产可视化与各种格式的文件(. pdf, .eps jpg等)</年代pan></span><span class="list-item"><span class="list-label">(3)</年代pan><span class="list-content"><i>退出</gydF4y2Bai>。它是用来戒烟的GUI。</年代pan></span><span class="list-item"><span class="list-label">(iv)</年代pan><span class="list-content"><i>输出</gydF4y2Bai>。可以出口的所有指标检查网络。<gydF4y2Bai>三种</gydF4y2Bai>文件,该文件保存在与该工具执行相同的目录中。</年代pan></span></span></span></p> <p><span class="statement" id="head11"><span class="statement-title"><i class="statement-title">视图</gydF4y2Bai></span><br>下<gydF4y2Bai>视图</gydF4y2Bai>一个下拉菜单,可以找到以下。<年代pan class="list"><span class="list-item"><span class="list-label">(我)</年代pan><span class="list-content"><i>网络可视化</gydF4y2Bai>。三个支持可视化技术:中可以选择一个频道/源坐标,多维标度和二进制压力,详细描述部分<一个href="#sec3.4">3所示。4</一个></年代pan></span><span class="list-item"><span class="list-label">(2)</年代pan><span class="list-content"><i>网络指标</gydF4y2Bai>。这个选项卡后,用户可以问的<gydF4y2Bai>顶点水平指标</gydF4y2Bai>表,其中包含用户感兴趣的顶点的值指标(他选择下<gydF4y2Bai>工具</gydF4y2Bai>下拉菜单),或<gydF4y2Bai>网络级指标</gydF4y2Bai>,其中包含全球网络指标的值。</年代pan></span></span></span></p> <p><span class="statement" id="head12"><span class="statement-title"><i class="statement-title">工具</gydF4y2Bai></span><br>这个菜单包含以下。<年代pan class="list"><span class="list-item"><span class="list-label">(我)</年代pan><span class="list-content"><i>显示选项</gydF4y2Bai>。这个选项卡后,用户可以设置图形的显示。他可以设置偏好有关节点(大小、颜色、标签,字体)和/或边缘(大小、颜色、方向,箭头大小)。</年代pan></span><span class="list-item"><span class="list-label">(2)</年代pan><span class="list-content"><i>网络指标的选择</gydF4y2Bai>。三个选项卡出现在这个子菜单。第一个是命名<gydF4y2Bai>一般</gydF4y2Bai>和包含选项如果网络是不喜欢,二进制或不同步的网络。在后一种情况下,该工具提供了一个选项正常化的边缘长度。第二个选项卡是命名<gydF4y2Bai>顶点的指标</gydF4y2Bai>和包含选项节中描述的所有顶点的指标<一个href="#sec3.3.2">3.3。2</一个>。最后一个选项卡<gydF4y2Bai>网络指标</gydF4y2Bai>网络指标,包含选项描述的部分<一个href="#sec3.3.1">3.3。1</一个>。</年代pan></span></span></span></p> <p><span class="statement" id="head13"><span class="statement-title"><i class="statement-title">窗口</gydF4y2Bai></span><br>在这里,用户可以改变窗口的大小的GUI。</年代pan></p> <h4 id="acknowledgment">承认</gydF4y2Bah4> <p>作者希望感谢Dimitris Andreou撰写的发展支持工具的不同版本的软件。</gydF4y2Bap> </div> <div class="xml-content"> <h4 class="references" id="references">引用</gydF4y2Bah4> <ol> <li id="B43">诉Sakkalis,”梅格应用策略对脑电图/生物标志物识别在临床和认知的研究中,“<gydF4y2Bai>生物标志物在医学</gydF4y2Bai>,5卷,不。1,第105 - 93页,2011。<年代pan 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height="24"><span class="text">下载引用</年代pan></span><span class="sc-htoDjs bqeMOy sc-dqBHgY cQgXqt fileArrow icon-colored _3P4iUn1NDM5G77nWCamJ4l icon-themeable" title="" font-size="20"></span></a> <a class="sc-htpNat bUhGXt link sc-jtRfpW dUABlg sc-BngTV hmDWcT ref_desktop" href="//www.newsama.com/journals/cin/2011/747290.ris" aria-label="" target="" id="toolbar__dcNavSmall"><span><img alt="" class="sc-EHOje jOLhQl sc-kTUwUJ eujois" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"><span class="text">引用</年代pan></span><span class="sc-htoDjs bqeMOy sc-dqBHgY cQgXqt fileArrow icon-colored _3P4iUn1NDM5G77nWCamJ4l icon-themeable" title="" font-size="20"></span></a> </div> </div> <div class="journal_article__ArticleStickyBottomToolbar-sc-12fk6zy-1 isgRZA article_sticky_bottom_toolbar"> <div class="sc-cTjmhe ihmyEq article_bottom_toolbar"> <div class="sc-cugefK itFKcQ accordion" property="background-color" color="#D8D8D8" id="toolbar__dofNav"> <span><img alt="" class="sc-EHOje jOLhQl sc-bfYoXt cGuwDn" title="" role="presentation" 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height="24"><span class="sc-dRFtgE jrsDZP">下载其他格式</年代pan><span class="sc-gkFcWv gWTCXQ">更多的</年代pan></span> <span class="sc-htoDjs bMdQcY sc-gbOuXE jGPvPL icon-colored _1CwL9R82TPl2HxDleeYGDR icon-themeable" title="" font-size="11"></span> </div> <div class="sc-fnwBNb etzuBr"> <a class="sc-htpNat bUhGXt link sc-iNhVCk gWgCNb open_panel" href="//www.newsama.com/downloads/journals/cin/2011/747290.xml" aria-label="XML" property="background-color" color="#D8D8D8"> <div class="sc-eAKXzc WHkfb"> XML</dgydF4y2Baiv><img alt="" class="sc-EHOje jOLhQl sc-bfYoXt cGuwDn" title="" role="presentation" 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height="24"><span class="sc-dRFtgE jrsDZP">订单打印副本</年代pan><span class="sc-gkFcWv gWTCXQ">订单</年代pan></span><span class="sc-htoDjs kNoiZu sc-gbOuXE jGPvPL right__icon icon-colored _32KP5uexH-Bgs7Kj8Gk1Tz icon-themeable" title="" font-size="16"></span></a> <div class="sc-hBbWxd kdRRST"> <div class="sc-dyGzUR cHatnS"> <div> 的观点<年代pan>2557年</年代pan> </div> <div> 下载<年代pan>980年</年代pan> </div> </div> <div> <div class="sc-drKuOJ kxdGAZ"> <span class="__dimensions_badge_embed__" data-doi="10.1155/2011/747290" data-style="small_circle"></span>引用</dgydF4y2Baiv> </div> </div> <nav class="sc-bRBYWo fXBKFa sc-hUfwpO jHPgUP" id="toolbar__iconNav"> <h3 class="sc-Rmtcm hNPrIr">分享文章</gydF4y2Bah3> <ul class="sc-hzDkRC bnbfTS"> <li class="iconBorder"><a class="sc-htpNat bUhGXt link" href="https://twitter.com/share?url=https://doi.org/10.1155/2011/747290&via=Hindawi" aria-label="Sharing on Twitter" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje jOLhQl socialTwitter" title="" 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