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<!doctype html> <html lang="en"> <head> <meta charset="utf-8"> <title>Software Search - zbMATH Open</title> <meta name="viewport" content="width=device-width, minimum-scale=0.1, maximum-scale=5.0"> <meta name="robots" content="noarchive"> <meta name="referrer" content="origin-when-cross-origin"> <link href="https://static.zbmath.org/contrib/bootstrap/v3.3.7/css/bootstrap.min.css" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/contrib/bootstrap/v3.3.7/css/bootstrap-theme.min.css" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.css" rel="stylesheet" media="screen,print"> <link rel="stylesheet" href="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/css/bootstrap-select.min.css"> <link href="/static/css/smoothness/jquery-ui-1.10.1.custom.min.css" rel="stylesheet" media="screen"> <link href="/static/styles.css?v=20241024" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/zbMathJax/v0.1.38/zbmathjax.css" rel="stylesheet" media="screen,print"> <link rel="shortcut icon" href="/static/swmath.ico"> <script type="application/ld+json"> { "@context": "http://schema.org", "@type": "Organization", "url": "https://zbmath.org/", "logo": "https://zbmath.org/static/zbMATH.png" } </script> </head> <body> <div id="line"></div> <span id="clear" style="cursor: pointer;">&times;</span> <div id="page"> <div id="head"> <nav id="menu" class="navbar navbar-default"> <div class="container-fluid"> <div class="navbar-header"> <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#zbnav" aria-expanded="false"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar"></span> <span class="icon-bar"></span> <span class="icon-bar"></span> </button> <a class="navbar-brand" href="#"> <img class="logo" src="/static/zbmath.gif" alt="zbMATH Open logo"> </a> </div> <div id="zbnav" class="collapse navbar-collapse"> <ul class="nav navbar-nav pages"> <li class="about"> <a href="/about/">About</a> </li> <li class="frequently-asked-questions"> <a href="/frequently-asked-questions/">FAQ</a> </li> <li class="general-help"> <a href="/general-help/">General Help</a> </li> <li class="reviewer-service"> <a href="https://zbmath.org/reviewer-service/" target="_self" >Reviewer Service</a> </li> <li> <a href="/tools-and-resources/">Tools &amp; Resources</a> </li> <li class="contact"> <a href="/contact/">Contact</a> </li> </ul> <ul class="nav navbar-nav navbar-right prefs"> <li class="preferences dropdown"> <a data-toggle="dropdown" href="#">Preferences <i class="caret"></i></a> <ul class="dropdown-menu preferences"> <li> <form id="preferences" class="navbar-form" method="post" action="/preferences/" onsubmit="return confirm('This website uses cookies for the purposes of storing preference information on your device. 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data-type="input" value="la">Languages</option> <option data-type="input" value="si">swMATH ID</option> <option data-type="input" value="cc">Main Fields</option> <option data-type="input" value="kw">Keywords</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-1-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-1-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-2"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-2-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="sw" selected>Software Name</option> <option data-type="input" value="au">Software Authors</option> <option data-type="input" value="ab">Description</option> <option data-type="input" value="la">Languages</option> <option data-type="input" value="si">swMATH ID</option> <option data-type="input" value="cc">Main Fields</option> <option data-type="input" value="kw">Keywords</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-2-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-3"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-3-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="sw">Software Name</option> <option data-type="input" value="au" selected>Software Authors</option> <option data-type="input" value="ab">Description</option> <option data-type="input" value="la">Languages</option> <option data-type="input" value="si">swMATH ID</option> <option data-type="input" value="cc">Main Fields</option> <option data-type="input" value="kw">Keywords</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 buttons"> <a tabindex="0" class="btn btn-default clear-all">Reset all <span class="glyphicon glyphicon-remove"></span></a> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> </div> </form> <form class="form-inline" name="software" method="GET" action="/software/"> <div class="software one-line" style="display: block;"> <div class="forms"> <ul class="nav forms"> <li class="multi-line"><a href="#">New Multi-Line Search <span class="glyphicon glyphicon-list"></span></a></li> </ul> </div> <div id="search-row" class="input-group box"> <span> <div id="search-field"> <input class="query form-control" type="text" name="q" value="si:23728" aria-label="Search for software" placeholder="Search for software" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span>&nbsp;</span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span>&nbsp;&nbsp;</span>description</a></li> <li><a href="#"><span class="token item">au:</span><span>&nbsp;&nbsp;</span>author</a></li> <li><a href="#"><span class="token item">cc:</span><span>&nbsp;&nbsp;</span>msc</a></li> <li><a href="#"><span class="token item">pl:</span><span>&nbsp;&nbsp;</span>programming language</a></li> <li><a href="#"><span class="token item">si:</span><span>&nbsp;&nbsp;</span>software ID</a></li> <li><a href="#"><span class="token item">sw:</span><span>&nbsp;&nbsp;</span>name</a></li> <li><a href="#"><span class="token item">ut:</span><span>&nbsp;&nbsp;</span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a&nbsp;<span class="item">&</span>&nbsp;b&nbsp;</span><span>&nbsp;</span>logical and (default)</a></li> <li><a href="#"><span class="token">a&nbsp;<span class="item">|</span>&nbsp;b&nbsp;</span><span>&nbsp;</span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab&nbsp;&nbsp;&nbsp;</span><span>&nbsp;</span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span>&nbsp;&nbsp;</span><span>&nbsp;</span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab&nbsp;c<span class="item">"</span></span><span>&nbsp;</span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab&nbsp;c<span class="item">)</span></span><span>&nbsp;</span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=sw%3ASage%2A">sw:Sage*</a></span> <span class="search-explanation" role="cell" role="cell">Search for a specific <strong>s</strong>oft<strong>w</strong>are package containing the sequence <em>Sage</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=ab%3Ageometry+%26+ut%3AORMS">ab:geometry &amp; ut:ORMS</a></span> <span class="search-explanation" role="cell" role="cell">Search for software packages with the word <em>geometry</em> in the description(<strong>ab</strong>), and which have the keyword(<strong>ut</strong>) <em>ORMS</em> ( Oberwolfach Registry of Mathematical Software).The operator <strong>&</strong> is the default and may be omitted.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=cc%3A13+%7C+14">cc:13 | 14</a></span> <span class="search-explanation" role="cell" role="cell">Search for software packages which are cited(<strong>cc</strong>) by articles belonging to the <strong><u>c</u>lassification <u>c</u>ode</strong> sections <em>13</em> and <em>14</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=GAP+au%3AEick">GAP au:Eick</a></span> <span class="search-explanation" role="cell" role="cell">Search for <em>GAP</em> in the <strong>any</strong> index (which also includes dependencies) and by software <strong><u>au</u>thor</strong> containing the sequence <em>Eick</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=pl%3AJava+%26+ab%3AR">pl:Java &amp; ab:R</a></span> <span class="search-explanation" role="cell" role="cell">Search for software package in the <strong><u>p</u>rogramming <u>l</u>anguage</strong> Java whose description text(<strong>ab</strong>) contains <em>R</em></span> </div> </div> <h2>Fields</h2> <div id="help-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ab</strong> </span> <span class="search-explanation" role="cell" role="cell"> Text from the description </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>au</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name(s) of the author(s) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>cc</strong> </span> <span class="search-explanation" role="cell" role="cell"> Main fields of the software (given by first two MSC digits) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>pl</strong> </span> <span class="search-explanation" role="cell" role="cell"> Programming language the software is written in </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>si</strong> </span> <span class="search-explanation" role="cell" role="cell"> swMATH software ID </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>sw</strong> </span> <span class="search-explanation" role="cell" role="cell"> Software name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ut</strong> </span> <span class="search-explanation" role="cell" role="cell"> Keywords </span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <h2>Operators</h2> <div id="operators-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a &amp; b</strong></span> <span class="search-explanation" role="cell" role="cell">logical and</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a | b</strong></span> <span class="search-explanation" role="cell" role="cell">logical or</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>!ab</strong></span> <span class="search-explanation" role="cell" role="cell">logical not</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>abc*</strong></span> <span class="search-explanation" role="cell" role="cell">right wildcard</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>ab c</strong></span> <span class="search-explanation" role="cell" role="cell">phrase</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>(ab c)</strong></span> <span class="search-explanation" role="cell" role="cell">parentheses</span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <p> See also our <a href="/general-help/">General Help</a>. </p></div> </div> </form> </div><div class="content-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="software"> <div class="content-main"> <article> <div class="head"> <h2>MathOverflow</h2> </div> <div class="text"> <table> <tr> <td>swMATH ID:</td> <td> 23728 </td> </tr> <tr> <td>Software Authors:</td> <td> <div class="author"><a href="/authors/stack-exchange-inc." title="Author Profile">Stack Exchange Inc.</a></div> </td> </tr> <tr> <td>Description:</td> <td>MathOverflow is a question and answer site for professional mathematicians.</td> </tr> <tr> <td>Homepage:</td> <td> <a href="https://mathoverflow.net/">https://mathoverflow.net/</a> </td> </tr> <tr> <td>Related Software:</td> <td> <a href="/software/7248">OEIS</a>; <a href="/software/825">SageMath</a>; <a href="/software/23170">GitHub</a>; <a href="/software/540">Magma</a>; <a href="/software/320">GAP</a>; <a href="/software/4968">DLMF</a>; <a href="/software/6874">SnapPy</a>; <a href="/software/554">Mathematica</a>; <a href="/software/23625">kepler98</a>; <a href="/software/7249">LMFDB</a>; <a href="/software/537">Macaulay2</a>; <a href="/software/15148">Lean</a>; <a href="/software/28613">Archive Formal Proofs</a>; <a href="/software/12471">KnotInfo</a>; <a href="/software/6693">House of Graphs</a>; <a href="/software/15147">HoTT</a>; <a href="/software/161">Coq</a>; <a href="/software/27596">ecdata</a>; <a href="/software/4862">Regina</a>; <a href="/software/545">Maple</a> </td> </tr> <tr class="indexed"> <td>Cited in:</td> <td> <a href="/?q=si%3A23728">919&nbsp;Documents</a> </td> </tr> </table> </div> <div class="profile"> <div class="facet1st"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Cited by 1,501 Authors</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=si%3A23728+ai%3Abanakh.taras-o" title="Citing Publications by this Author">11</a> </td> <td class="text"> <a href="/authors/banakh.taras-o" title="Author Profile"> Banakh, Taras Onufrievich </a> </td></tr><tr> <td class="number"> <a href="/?q=si%3A23728+ai%3Ahamkins.joel-david" title="Citing Publications by this Author">9</a> </td> <td class="text"> <a href="/authors/hamkins.joel-david" title="Author Profile"> Hamkins, Joel David </a> </td></tr><tr> <td 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Mathematics </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+se%3A55" title="Citing Publications in this Serial">2</a> </td> <td class="text"> <a href="/serials/?q=se%3A55" title="Serial Profile"> Classical and Quantum Gravity </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+se%3A57" title="Citing Publications in this Serial">2</a> </td> <td class="text"> <a href="/serials/?q=se%3A57" title="Serial Profile"> Communications in Algebra </a> </td></tr> <tr class="more"> <td colspan="2">...and 205 more Serials</td> </tr> </table> </div> <div class="facet3rd"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Cited in 60 Fields</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=si%3A23728+cc%3A05" title="Citing Publications in this Field">150</a> </td> <td class="text"> <a href="/classification/?q=cc%3A05" title="Mathematics Subject Classification"> Combinatorics&nbsp;<span style="white-space: nowrap;">(05-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=si%3A23728+cc%3A11" title="Citing Publications in this Field">150</a> </td> <td class="text"> <a href="/classification/?q=cc%3A11" title="Mathematics Subject Classification"> Number theory&nbsp;<span style="white-space: nowrap;">(11-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=si%3A23728+cc%3A14" title="Citing Publications in this Field">127</a> </td> <td class="text"> <a href="/classification/?q=cc%3A14" title="Mathematics Subject Classification"> Algebraic geometry&nbsp;<span style="white-space: nowrap;">(14-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=si%3A23728+cc%3A20" title="Citing Publications in this Field">116</a> </td> <td class="text"> <a href="/classification/?q=cc%3A20" title="Mathematics Subject Classification"> Group theory and generalizations&nbsp;<span style="white-space: nowrap;">(20-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=si%3A23728+cc%3A03" title="Citing Publications in this Field">81</a> </td> <td class="text"> <a href="/classification/?q=cc%3A03" title="Mathematics Subject Classification"> Mathematical logic and foundations&nbsp;<span style="white-space: nowrap;">(03-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A53" title="Citing Publications in this Field">78</a> </td> <td class="text"> <a href="/classification/?q=cc%3A53" title="Mathematics Subject Classification"> Differential geometry&nbsp;<span style="white-space: nowrap;">(53-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A57" title="Citing Publications in this Field">72</a> </td> <td class="text"> <a href="/classification/?q=cc%3A57" title="Mathematics Subject Classification"> Manifolds and cell complexes&nbsp;<span style="white-space: nowrap;">(57-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A18" title="Citing Publications in this Field">63</a> </td> <td class="text"> <a href="/classification/?q=cc%3A18" title="Mathematics Subject Classification"> Category theory; homological algebra&nbsp;<span style="white-space: nowrap;">(18-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A68" title="Citing Publications in this Field">58</a> </td> <td class="text"> <a href="/classification/?q=cc%3A68" title="Mathematics Subject Classification"> Computer science&nbsp;<span style="white-space: nowrap;">(68-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A55" title="Citing Publications in this Field">55</a> </td> <td class="text"> <a href="/classification/?q=cc%3A55" title="Mathematics Subject Classification"> Algebraic topology&nbsp;<span style="white-space: nowrap;">(55-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A81" title="Citing Publications in this Field">54</a> </td> <td class="text"> <a href="/classification/?q=cc%3A81" title="Mathematics Subject Classification"> Quantum theory&nbsp;<span style="white-space: nowrap;">(81-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A60" title="Citing Publications in this Field">50</a> </td> <td class="text"> <a href="/classification/?q=cc%3A60" title="Mathematics Subject Classification"> Probability theory and stochastic processes&nbsp;<span style="white-space: nowrap;">(60-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A46" title="Citing Publications in this Field">41</a> </td> <td class="text"> <a href="/classification/?q=cc%3A46" title="Mathematics Subject Classification"> Functional analysis&nbsp;<span style="white-space: nowrap;">(46-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A52" title="Citing Publications in this Field">40</a> </td> <td class="text"> <a href="/classification/?q=cc%3A52" title="Mathematics Subject Classification"> Convex and discrete geometry&nbsp;<span style="white-space: nowrap;">(52-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A37" title="Citing Publications in this Field">38</a> </td> <td class="text"> <a href="/classification/?q=cc%3A37" title="Mathematics Subject Classification"> Dynamical systems and ergodic theory&nbsp;<span style="white-space: nowrap;">(37-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A13" title="Citing Publications in this Field">37</a> </td> <td class="text"> <a href="/classification/?q=cc%3A13" title="Mathematics Subject Classification"> Commutative algebra&nbsp;<span style="white-space: nowrap;">(13-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A22" title="Citing Publications in this Field">35</a> </td> <td class="text"> <a href="/classification/?q=cc%3A22" title="Mathematics Subject Classification"> Topological groups, Lie groups&nbsp;<span style="white-space: nowrap;">(22-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A15" title="Citing Publications in this Field">30</a> </td> <td class="text"> <a href="/classification/?q=cc%3A15" title="Mathematics Subject Classification"> Linear and multilinear algebra; matrix theory&nbsp;<span style="white-space: nowrap;">(15-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A54" title="Citing Publications in this Field">28</a> </td> <td class="text"> <a href="/classification/?q=cc%3A54" title="Mathematics Subject Classification"> General topology&nbsp;<span style="white-space: nowrap;">(54-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A58" title="Citing Publications in this Field">28</a> </td> <td class="text"> <a href="/classification/?q=cc%3A58" title="Mathematics Subject Classification"> Global analysis, analysis on manifolds&nbsp;<span style="white-space: nowrap;">(58-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A16" title="Citing Publications in this Field">26</a> </td> <td class="text"> <a href="/classification/?q=cc%3A16" title="Mathematics Subject Classification"> Associative rings and algebras&nbsp;<span style="white-space: nowrap;">(16-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A51" title="Citing Publications in this Field">26</a> </td> <td class="text"> <a href="/classification/?q=cc%3A51" title="Mathematics Subject Classification"> Geometry&nbsp;<span style="white-space: nowrap;">(51-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A32" title="Citing Publications in this Field">23</a> </td> <td class="text"> <a href="/classification/?q=cc%3A32" title="Mathematics Subject Classification"> Several complex variables and analytic spaces&nbsp;<span style="white-space: nowrap;">(32-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A47" title="Citing Publications in this Field">23</a> </td> <td class="text"> <a href="/classification/?q=cc%3A47" title="Mathematics Subject Classification"> Operator theory&nbsp;<span style="white-space: nowrap;">(47-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A17" title="Citing Publications in this Field">22</a> </td> <td class="text"> <a href="/classification/?q=cc%3A17" title="Mathematics Subject Classification"> Nonassociative rings and algebras&nbsp;<span style="white-space: nowrap;">(17-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A26" title="Citing Publications in this Field">21</a> </td> <td class="text"> <a href="/classification/?q=cc%3A26" title="Mathematics Subject Classification"> Real functions&nbsp;<span style="white-space: nowrap;">(26-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A06" title="Citing Publications in this Field">20</a> </td> <td class="text"> <a href="/classification/?q=cc%3A06" title="Mathematics Subject Classification"> Order, lattices, ordered algebraic structures&nbsp;<span style="white-space: nowrap;">(06-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A35" title="Citing Publications in this Field">20</a> </td> <td class="text"> <a href="/classification/?q=cc%3A35" title="Mathematics Subject Classification"> Partial differential equations&nbsp;<span style="white-space: nowrap;">(35-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A30" title="Citing Publications in this Field">19</a> </td> <td class="text"> <a href="/classification/?q=cc%3A30" title="Mathematics Subject Classification"> Functions of a complex variable&nbsp;<span style="white-space: nowrap;">(30-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A00" title="Citing Publications in this Field">14</a> </td> <td class="text"> <a href="/classification/?q=cc%3A00" title="Mathematics Subject Classification"> General and overarching topics; collections&nbsp;<span style="white-space: nowrap;">(00-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A65" title="Citing Publications in this Field">14</a> </td> <td class="text"> <a href="/classification/?q=cc%3A65" title="Mathematics Subject Classification"> Numerical analysis&nbsp;<span style="white-space: nowrap;">(65-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A90" title="Citing Publications in this Field">14</a> </td> <td class="text"> <a href="/classification/?q=cc%3A90" title="Mathematics Subject Classification"> Operations research, mathematical programming&nbsp;<span style="white-space: nowrap;">(90-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A83" title="Citing Publications in this Field">13</a> </td> <td class="text"> <a href="/classification/?q=cc%3A83" title="Mathematics Subject Classification"> Relativity and gravitational theory&nbsp;<span style="white-space: nowrap;">(83-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A91" title="Citing Publications in this Field">13</a> </td> <td class="text"> <a href="/classification/?q=cc%3A91" title="Mathematics Subject Classification"> Game theory, economics, finance, and other social and behavioral sciences&nbsp;<span style="white-space: nowrap;">(91-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A28" title="Citing Publications in this Field">12</a> </td> <td class="text"> <a href="/classification/?q=cc%3A28" title="Mathematics Subject Classification"> Measure and integration&nbsp;<span style="white-space: nowrap;">(28-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A33" title="Citing Publications in this Field">12</a> </td> <td class="text"> <a href="/classification/?q=cc%3A33" title="Mathematics Subject Classification"> Special functions&nbsp;<span style="white-space: nowrap;">(33-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A62" title="Citing Publications in this Field">12</a> </td> <td class="text"> <a href="/classification/?q=cc%3A62" title="Mathematics Subject Classification"> Statistics&nbsp;<span style="white-space: nowrap;">(62-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A94" title="Citing Publications in this Field">12</a> </td> <td class="text"> <a href="/classification/?q=cc%3A94" title="Mathematics Subject Classification"> Information and communication theory, circuits&nbsp;<span style="white-space: nowrap;">(94-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A49" title="Citing Publications in this Field">10</a> </td> <td class="text"> <a href="/classification/?q=cc%3A49" title="Mathematics Subject Classification"> Calculus of variations and optimal control; optimization&nbsp;<span style="white-space: nowrap;">(49-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A12" title="Citing Publications in this Field">9</a> </td> <td class="text"> <a href="/classification/?q=cc%3A12" title="Mathematics Subject Classification"> Field theory and polynomials&nbsp;<span style="white-space: nowrap;">(12-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A19" title="Citing Publications in this Field">9</a> </td> <td class="text"> <a href="/classification/?q=cc%3A19" title="Mathematics Subject Classification"> \(K\)-theory&nbsp;<span style="white-space: nowrap;">(19-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A01" title="Citing Publications in this Field">8</a> </td> <td class="text"> <a href="/classification/?q=cc%3A01" title="Mathematics Subject Classification"> History and biography&nbsp;<span style="white-space: nowrap;">(01-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A70" title="Citing Publications in this Field">8</a> </td> <td class="text"> <a href="/classification/?q=cc%3A70" title="Mathematics Subject Classification"> Mechanics of particles and systems&nbsp;<span style="white-space: nowrap;">(70-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A41" title="Citing Publications in this Field">7</a> </td> <td class="text"> <a href="/classification/?q=cc%3A41" title="Mathematics Subject Classification"> Approximations and expansions&nbsp;<span style="white-space: nowrap;">(41-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A82" title="Citing Publications in this Field">7</a> </td> <td class="text"> <a href="/classification/?q=cc%3A82" title="Mathematics Subject Classification"> Statistical mechanics, structure of matter&nbsp;<span style="white-space: nowrap;">(82-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A31" title="Citing Publications in this Field">6</a> </td> <td class="text"> <a href="/classification/?q=cc%3A31" title="Mathematics Subject Classification"> Potential theory&nbsp;<span style="white-space: nowrap;">(31-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A42" title="Citing Publications in this Field">6</a> </td> <td class="text"> <a href="/classification/?q=cc%3A42" title="Mathematics Subject Classification"> Harmonic analysis on Euclidean spaces&nbsp;<span style="white-space: nowrap;">(42-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A43" title="Citing Publications in this Field">6</a> </td> <td class="text"> <a href="/classification/?q=cc%3A43" title="Mathematics Subject Classification"> Abstract harmonic analysis&nbsp;<span style="white-space: nowrap;">(43-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A44" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A44" title="Mathematics Subject Classification"> Integral transforms, operational calculus&nbsp;<span style="white-space: nowrap;">(44-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A08" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A08" title="Mathematics Subject Classification"> General algebraic systems&nbsp;<span style="white-space: nowrap;">(08-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A34" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A34" title="Mathematics Subject Classification"> Ordinary differential equations&nbsp;<span style="white-space: nowrap;">(34-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A39" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A39" title="Mathematics Subject Classification"> Difference and functional equations&nbsp;<span style="white-space: nowrap;">(39-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A74" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A74" title="Mathematics Subject Classification"> Mechanics of deformable solids&nbsp;<span style="white-space: nowrap;">(74-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A93" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A93" title="Mathematics Subject Classification"> Systems theory; control&nbsp;<span style="white-space: nowrap;">(93-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A92" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A92" title="Mathematics Subject Classification"> Biology and other natural sciences&nbsp;<span style="white-space: nowrap;">(92-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A97" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A97" title="Mathematics Subject Classification"> Mathematics education&nbsp;<span style="white-space: nowrap;">(97-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A40" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A40" title="Mathematics Subject Classification"> Sequences, series, summability&nbsp;<span style="white-space: nowrap;">(40-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A45" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A45" title="Mathematics Subject Classification"> Integral equations&nbsp;<span style="white-space: nowrap;">(45-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A78" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A78" title="Mathematics Subject Classification"> Optics, electromagnetic theory&nbsp;<span style="white-space: nowrap;">(78-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A23728+cc%3A85" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A85" title="Mathematics Subject Classification"> Astronomy and astrophysics&nbsp;<span style="white-space: nowrap;">(85-XX)</span> </a> </td></tr> </table> </div> <div class="diagram svg-diagram"> <h3>Citations by Year</h3> <div class="diagram si-diagram" aria-label="citing publications by year"></div> <style> rect:hover { fill: steelblue; } .axis path, .axis line { fill: none; stroke: #000; shape-rendering: crispEdges; } .bar { fill: steelblue; } a:hover .bar, a:focus .bar { stroke: black; fill-opacity: 60%; } </style> <script src="/static/js/d3.v3.min.js"></script> <script> var margin = { top: 20, right: 0, bottom: 30, left: 50 }; var width = 930 - margin.left - margin.right; var height = 150 - margin.top - margin.bottom; var svg = d3.selectAll(".si-diagram").append("svg") .attr("width", width + margin.left + margin.right) .attr("height", height + margin.top + margin.bottom) .append("g") .attr("transform", "translate(" + margin.left + "," + margin.top + ")"); var data = [{ year:2010, frequency:1 },{ year:2011, frequency:3 },{ year:2012, frequency:11 },{ year:2013, frequency:19 },{ year:2014, frequency:25 },{ year:2015, frequency:35 },{ year:2016, frequency:56 },{ year:2017, frequency:62 },{ year:2018, frequency:81 },{ year:2019, frequency:90 },{ year:2020, frequency:84 },{ year:2021, frequency:103 },{ year:2022, frequency:105 },{ year:2023, frequency:129 },{ year:2024, frequency:115 }]; data.forEach(function(d) { d.year = +d.year; d.frequency = +d.frequency; }); var xScale = d3.scale.ordinal() .rangeRoundBands([0, width], .1); var yScale = d3.scale.linear() .range([height, 0]); // fill if less than 20 years span var zero = d3.max( [ 20 - ( d3.max( data, d => d.year ) + 1 - d3.min( data, d => d.year ) ), 0 ] ); // generate range from min to max xScale.domain( d3.range( d3.min( data, d => d.year ), d3.max( data, d => d.year ) + 1 + zero ) ); yScale.domain( [ 0, d3.max( data, d => d.frequency ) ] ); var xAxis = d3.svg.axis() .scale(xScale) .tickValues( // show ticks every 5 years for range up to 50 years, every 10 // years up to 100 years, and every 20 years above that xScale.domain().filter( function(d, i) { let ticks; if (xScale.domain().length <= 50) { ticks = 5; } else if (xScale.domain().length <= 100) { ticks = 10; } else { ticks = 20; } return !(d % ticks); } ) ) .tickSize(6,3,0) // removes end tick .orient("bottom"); var yAxis = d3.svg.axis() .scale(yScale) .ticks(3) // number of ticks .tickFormat(d3.format("d")) // only integers .tickSize(6,3,0) // removes end tick .orient("left"); svg.selectAll(".bar") .data(data) .enter() .append("a") .attr( "xlink:href", d => "/?q=si%3A23728+py%3A" + d.year ) .attr( "title", d => d.frequency + " Publication" + (d.frequency > 1 ? "s" : "") + " in " + d.year ) .append("rect") .attr("class", "bar") .attr("x", d => xScale(d.year)) .attr("width", xScale.rangeBand()) .attr("y", d => yScale(d.frequency)) .attr("height", d => height - yScale(d.frequency)); svg.append("g") .attr("class", "x axis") .attr("transform", "translate(0," + height + ")") .call(xAxis); svg.append("g") .attr("class", "y axis") .call(yAxis) .append("text") .attr("transform", "rotate(-90)") .attr("y", 6) .attr("dy", ".75em") .style("text-anchor", "end") .text(""); </script> </div> </div> </article> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> &copy; 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms &amp; Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none">&nbsp;<span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>

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