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data-event-name="pinnable-header.vector-toc.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">hide</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">(Top)</div> </a> </li> <li id="toc-Evolution_of_mathematical_software" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Evolution_of_mathematical_software"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Evolution of mathematical software</span> </div> </a> <ul id="toc-Evolution_of_mathematical_software-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Solvers" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Solvers"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Solvers</span> </div> </a> <ul id="toc-Solvers-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Software_calculator" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Software_calculator"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Software calculator</span> </div> </a> <ul id="toc-Software_calculator-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Computer_algebra_systems" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Computer_algebra_systems"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Computer algebra systems</span> </div> </a> <ul id="toc-Computer_algebra_systems-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Statistics" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Statistics"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Statistics</span> </div> </a> <ul id="toc-Statistics-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Theorem_provers_and_proof_assistants" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Theorem_provers_and_proof_assistants"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Theorem provers and proof assistants</span> </div> </a> <ul id="toc-Theorem_provers_and_proof_assistants-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Optimization_software" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Optimization_software"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Optimization software</span> </div> </a> <ul id="toc-Optimization_software-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Geometry" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Geometry"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Geometry</span> </div> </a> <ul id="toc-Geometry-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Numerical_analysis" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Numerical_analysis"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>Numerical analysis</span> </div> </a> <ul id="toc-Numerical_analysis-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Music_mathematics_software" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Music_mathematics_software"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>Music mathematics software</span> </div> </a> <ul id="toc-Music_mathematics_software-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Websites" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Websites"> <div class="vector-toc-text"> <span class="vector-toc-numb">11</span> <span>Websites</span> </div> </a> <ul id="toc-Websites-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Programming_libraries" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Programming_libraries"> <div class="vector-toc-text"> <span class="vector-toc-numb">12</span> <span>Programming libraries</span> </div> </a> <ul id="toc-Programming_libraries-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> 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mw-first-heading"><span class="mw-page-title-main">Mathematical software</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. 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dir="ltr"><p><b>Mathematical software</b> is <a href="/wiki/Software" title="Software">software</a> used to <a href="/wiki/Mathematical_model" title="Mathematical model">model</a>, analyze or calculate numeric, symbolic or geometric data.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Evolution_of_mathematical_software">Evolution of mathematical software</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mathematical_software&action=edit&section=1" title="Edit section: Evolution of mathematical software"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1251242444">.mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid 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0.5em;width:100%}.mw-parser-output .ambox .mbox-image{border:none;padding:2px 0 2px 0.5em;text-align:center}.mw-parser-output .ambox .mbox-imageright{border:none;padding:2px 0.5em 2px 0;text-align:center}.mw-parser-output .ambox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ambox .mbox-image-div{width:52px}@media(min-width:720px){.mw-parser-output .ambox{margin:0 10%}}@media print{body.ns-0 .mw-parser-output .ambox{display:none!important}}</style><table class="box-Cleanup_rewrite plainlinks metadata ambox ambox-content" role="presentation"><tbody><tr><td class="mbox-image"><div class="mbox-image-div"><span typeof="mw:File"><a href="/wiki/File:Crystal_Clear_app_kedit.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e8/Crystal_Clear_app_kedit.svg/40px-Crystal_Clear_app_kedit.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e8/Crystal_Clear_app_kedit.svg/60px-Crystal_Clear_app_kedit.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e8/Crystal_Clear_app_kedit.svg/80px-Crystal_Clear_app_kedit.svg.png 2x" data-file-width="128" data-file-height="128" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">This section <b>may need to be rewritten</b> to comply with Wikipedia's <a href="/wiki/Wikipedia:Manual_of_Style" title="Wikipedia:Manual of Style">quality standards</a>.<span class="hide-when-compact"> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Mathematical_software&action=edit">You can help</a>. The <a href="/wiki/Talk:Mathematical_software" title="Talk:Mathematical software">talk page</a> may contain suggestions.</span> <span class="date-container"><i>(<span class="date">May 2021</span>)</i></span></div></td></tr></tbody></table> <p><a href="/wiki/Numerical_analysis" title="Numerical analysis">Numerical analysis</a> and <a href="/wiki/Symbolic_computation" class="mw-redirect" title="Symbolic computation">symbolic computation</a> had been in most important place of the subject, but other kind of them is also growing now. A useful mathematical knowledge of such as <a href="/wiki/Algorism" title="Algorism">algorism</a> which exist before the <a href="/wiki/Invention" title="Invention">invention</a> of <a href="/wiki/Computer" title="Computer">electronic computer</a>, helped to mathematical software developing. On the other hand, by the growth of <a href="/wiki/Computing_power" class="mw-redirect" title="Computing power">computing power</a> (such as seeing on <a href="/wiki/Moore%27s_law" title="Moore's law">Moore's law</a>), the new treatment (for example, a new kind of technique such as <a href="/wiki/Data_assimilation" title="Data assimilation">data assimilation</a> which combined numerical analysis and <a href="/wiki/Statistics" title="Statistics">statistics</a>) needing conversely the progress of the <a href="/wiki/Mathematical_science" class="mw-redirect" title="Mathematical science">mathematical science</a> or <a href="/wiki/Applied_mathematics" title="Applied mathematics">applied mathematics</a>.<br /> The progress of mathematical information presentation such as <a href="/wiki/TeX" title="TeX">TeX</a> or <a href="/wiki/MathML" title="MathML">MathML</a><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> will demand to evolution form <i>formula manipulation language</i> to true <i>mathematics manipulation language</i> (notwithstanding the problem that whether <a href="/wiki/G%C3%B6del%27s_incompleteness_theorems" title="Gödel's incompleteness theorems">mathematical theory is inconsistent</a> or not). And popularization of general purpose mathematical software, special purpose mathematical software<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> so called <i>one purpose software</i> which used special subject will alive with adapting for environment progress at normalization of platform. So the diversity of mathematical software will be kept. </p> <div class="mw-heading mw-heading2"><h2 id="Solvers">Solvers</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mathematical_software&action=edit&section=2" title="Edit section: Solvers"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="excerpt-block"><style data-mw-deduplicate="TemplateStyles:r1066933788">.mw-parser-output .excerpt-hat .mw-editsection-like{font-style:normal}</style><style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable dablink excerpt-hat selfref">This section is an excerpt from <a href="/wiki/Solver" title="Solver">Solver</a>.<span class="mw-editsection-like plainlinks"><span class="mw-editsection-bracket">[</span><a class="external text" href="https://en.wikipedia.org/w/index.php?title=Solver&action=edit">edit</a><span class="mw-editsection-bracket">]</span></span></div><div class="excerpt"> A <a href="/wiki/Solver" title="Solver">solver</a> is a piece of mathematical software, possibly in the form of a stand-alone <a href="/wiki/Computer_program" title="Computer program">computer program</a> or as a <a href="/wiki/Library_(computing)" title="Library (computing)">software library</a>, that 'solves' a mathematical problem. A solver takes problem descriptions in some sort of generic form and calculates their solution. In a solver, the emphasis is on creating a program or library that can easily be applied to other problems of similar type.</div></div> <div class="mw-heading mw-heading2"><h2 id="Software_calculator">Software calculator</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mathematical_software&action=edit&section=3" title="Edit section: Software calculator"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Software_calculator" title="Software calculator">Software calculator</a></div> <p>A software calculator allows the user to perform simple mathematical operations, like addition, multiplication, exponentiation and trigonometry. Data input is typically manual, and the output is a text label. </p> <div class="mw-heading mw-heading2"><h2 id="Computer_algebra_systems">Computer algebra systems</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mathematical_software&action=edit&section=4" title="Edit section: Computer algebra systems"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/List_of_computer_algebra_systems" title="List of computer algebra systems">List of computer algebra systems</a></div> <p>Many mathematical suites are <a href="/wiki/Computer_algebra_system" title="Computer algebra system">computer algebra systems</a> that use <a href="/wiki/Symbolic_mathematics" class="mw-redirect" title="Symbolic mathematics">symbolic mathematics</a>. They are designed to solve classical algebra equations and problems in human readable notation. </p> <div class="mw-heading mw-heading2"><h2 id="Statistics">Statistics</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mathematical_software&action=edit&section=5" title="Edit section: Statistics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/List_of_statistical_packages" class="mw-redirect" title="List of statistical packages">List of statistical packages</a></div> <p>Many tools are available for statistical analysis of data. See also <a href="/wiki/Comparison_of_statistical_packages" title="Comparison of statistical packages">Comparison of statistical packages</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Theorem_provers_and_proof_assistants">Theorem provers and proof assistants</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mathematical_software&action=edit&section=6" title="Edit section: Theorem provers and proof assistants"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main articles: <a href="/wiki/List_of_theorem_provers" class="mw-redirect" title="List of theorem provers">List of theorem provers</a> and <a href="/wiki/List_of_proof_assistants" class="mw-redirect" title="List of proof assistants">List of proof assistants</a></div> <div class="mw-heading mw-heading2"><h2 id="Optimization_software">Optimization software</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mathematical_software&action=edit&section=7" title="Edit section: Optimization software"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/List_of_optimization_software" title="List of optimization software">List of optimization software</a></div> <div class="mw-heading mw-heading2"><h2 id="Geometry">Geometry</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mathematical_software&action=edit&section=8" title="Edit section: Geometry"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main articles: <a href="/wiki/List_of_interactive_geometry_software" title="List of interactive geometry software">List of interactive geometry software</a> and <a href="/wiki/List_of_information_graphics_software" title="List of information graphics software">List of information graphics software</a></div> <div class="mw-heading mw-heading2"><h2 id="Numerical_analysis">Numerical analysis</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mathematical_software&action=edit&section=9" title="Edit section: Numerical analysis"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/List_of_numerical-analysis_software" title="List of numerical-analysis software">List of numerical-analysis software</a></div> <p>The <a href="/wiki/Netlib" title="Netlib">Netlib</a> repository contains various collections of software routines for numerical problems, mostly in <a href="/wiki/Fortran" title="Fortran">Fortran</a> and <a href="/wiki/C_(programming_language)" title="C (programming language)">C</a>. Commercial products implementing many different numerical algorithms include the <a href="/wiki/IMSL_Numerical_Libraries" title="IMSL Numerical Libraries">IMSL</a>, <a href="/wiki/NMath" title="NMath">NMath</a> and <a href="/wiki/NAG_Numerical_Libraries" class="mw-redirect" title="NAG Numerical Libraries">NAG libraries</a>; a free alternative is the <a href="/wiki/GNU_Scientific_Library" title="GNU Scientific Library">GNU Scientific Library</a>. A different approach is taken by the <a href="/wiki/Numerical_Recipes" title="Numerical Recipes">Numerical Recipes</a> library, where emphasis is placed on clear understanding of algorithms. </p><p>Many <a href="/wiki/Computer_algebra_system" title="Computer algebra system">computer algebra systems</a> (listed above) can also be used for numerical computations. </p> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Comparison_of_numerical-analysis_software" title="Comparison of numerical-analysis software">Comparison of numerical-analysis software</a></div> <div class="mw-heading mw-heading2"><h2 id="Music_mathematics_software">Music mathematics software</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mathematical_software&action=edit&section=10" title="Edit section: Music mathematics software"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/List_of_music_software" title="List of music software">List of music software</a></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Music_and_mathematics" title="Music and mathematics">Music and mathematics</a></div> <p><i>Music mathematics software utilizes mathematics to analyze or synthesize musical symbols and patterns.</i> </p> <ul><li>Musimat (by <a href="/wiki/Gareth_Loy" title="Gareth Loy">Gareth Loy</a>)<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup></li></ul> <div class="mw-heading mw-heading2"><h2 id="Websites">Websites</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mathematical_software&action=edit&section=11" title="Edit section: Websites"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A growing number of mathematical software is available in web browsers, without the need to download or install any code.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Programming_libraries">Programming libraries</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mathematical_software&action=edit&section=12" title="Edit section: Programming libraries"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/List_of_numerical_libraries" title="List of numerical libraries">List of numerical libraries</a>, <a href="/wiki/Comparison_of_linear_algebra_libraries" title="Comparison of linear algebra libraries">Comparison of linear algebra libraries</a>, <a href="/wiki/List_of_automated_theorem_provers" class="mw-redirect" title="List of automated theorem provers">List of automated theorem provers</a>, and <a href="/wiki/List_of_constraint_programming_libraries" class="mw-redirect" title="List of constraint programming libraries">List of constraint programming libraries</a></div> <p>Low-level mathematical libraries intended for use within other programming languages: </p> <ul><li><a href="/wiki/GNU_Multi-Precision_Library" class="mw-redirect" title="GNU Multi-Precision Library">GMP</a>, the <a href="/wiki/GNU_Multi-Precision_Library" class="mw-redirect" title="GNU Multi-Precision Library">GNU Multi-Precision Library</a> for high-performant <a href="/wiki/Arbitrary_precision_arithmetic" class="mw-redirect" title="Arbitrary precision arithmetic">arbitrary precision arithmetic</a>.</li> <li><a href="/wiki/Class_Library_for_Numbers" title="Class Library for Numbers">Class Library for Numbers</a>, a high-level <a href="/wiki/C%2B%2B" title="C++">C++</a> library for <a href="/wiki/Arbitrary_precision_arithmetic" class="mw-redirect" title="Arbitrary precision arithmetic">arbitrary precision arithmetic</a>.</li> <li><a href="/wiki/AMD_Core_Math_Library" title="AMD Core Math Library">AMD Core Math Library</a>, a software development library released by AMD</li> <li><a href="/wiki/Boost_(C%2B%2B_libraries)" title="Boost (C++ libraries)">Boost</a>.Math</li></ul> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mathematical_software&action=edit&section=13" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Computational_mathematics" title="Computational mathematics">Computational mathematics</a></li> <li><a href="/wiki/G%C3%B6del%27s_incompleteness_theorems" title="Gödel's incompleteness theorems">Gödel's incompleteness theorems</a></li> <li><a href="/wiki/Time_complexity" title="Time complexity">Time complexity</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mathematical_software&action=edit&section=14" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text">See, e.g., the <a rel="nofollow" class="external text" href="http://toms.acm.org/Charter.html">editorial charter</a> of the <i><a href="/wiki/ACM_Transactions_on_Mathematical_Software" title="ACM Transactions on Mathematical Software">ACM Transactions on Mathematical Software</a></i> or the <a rel="nofollow" class="external text" href="http://gams.nist.gov/cgi-bin/serve.cgi">problem taxonomy</a> of the <a href="/wiki/National_Institute_of_Standards_and_Technology" title="National Institute of Standards and Technology">National Institute of Standards and Technology</a> <a href="/wiki/Guide_to_Available_Mathematical_Software" title="Guide to Available Mathematical Software">Guide to Available Mathematical Software</a> (both retrieved 2015-02-15).</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text">Both MathML and TeX may be only simple a kind of computer language which enable also to present the mathematical formula. However they also may be the mathematical software if the term of <i>software</i> interpreted as whole technology on how to use computer, at most wide sense.</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text">Included your written script code on the general purpose mathematical software.</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.musimat.com/">Musimathics website, freeware download</a></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://icm.mcs.kent.edu/research/iamc.html">Internet Accessible Mathematical Computation</a>, Institute for Computational Mathematics, <a href="/wiki/Kent_State_University" title="Kent State University">Kent State University</a>, retrieved 2015-02-15.</span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mathematical_software&action=edit&section=15" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://www.swmath.org">swMATH</a> Database on mathematical software</li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline 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title="Numerical methods for ordinary differential equations">Numerical methods for ordinary differential equations</a></li> <li><a href="/wiki/Numerical_methods_for_partial_differential_equations" title="Numerical methods for partial differential equations">Numerical methods for partial differential equations</a></li> <li><a href="/wiki/Validated_numerics" title="Validated numerics">Validated numerics</a></li></ul></li> <li><a href="/wiki/Calculus_of_variations" title="Calculus of variations">Variational calculus</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Probability_theory" title="Probability theory">Probability theory</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Probability_distribution" title="Probability distribution">Distributions</a> (<a href="/wiki/Random_variable" title="Random variable">random variables</a>)</li> 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economics</a></li> <li><a href="/wiki/Mathematical_finance" title="Mathematical finance">Mathematical finance</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other applications</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Mathematical_and_theoretical_biology" title="Mathematical and theoretical biology">Biology</a></li> <li><a href="/wiki/Mathematical_chemistry" title="Mathematical chemistry">Chemistry</a></li> <li><a href="/wiki/Mathematical_psychology" title="Mathematical psychology">Psychology</a></li> <li><a href="/wiki/Mathematical_sociology" title="Mathematical sociology">Sociology</a></li> <li>"<a href="/wiki/The_Unreasonable_Effectiveness_of_Mathematics_in_the_Natural_Sciences" title="The Unreasonable Effectiveness of Mathematics in the Natural Sciences">The Unreasonable Effectiveness of Mathematics in the Natural Sciences</a>"</li></ul> 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