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class="vector-toc-list"> <li id="toc-Core_functionality" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Core_functionality"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Core functionality</span> </div> </a> <ul id="toc-Core_functionality-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Architecture" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Architecture"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Architecture</span> </div> </a> <ul id="toc-Architecture-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-History" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#History"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>History</span> </div> </a> <ul id="toc-History-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Version_history" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Version_history"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Version history</span> </div> </a> <ul id="toc-Version_history-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Features" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Features"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Features</span> </div> </a> <ul id="toc-Features-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Examples_of_Maple_code" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Examples_of_Maple_code"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Examples of Maple code</span> </div> </a> <button aria-controls="toc-Examples_of_Maple_code-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Examples of Maple code subsection</span> </button> <ul id="toc-Examples_of_Maple_code-sublist" class="vector-toc-list"> <li id="toc-Integration" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Integration"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.1</span> <span>Integration</span> </div> </a> <ul id="toc-Integration-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Determinant" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Determinant"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.2</span> <span>Determinant</span> </div> </a> <ul id="toc-Determinant-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Series_expansion" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Series_expansion"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.3</span> <span>Series expansion</span> </div> </a> <ul id="toc-Series_expansion-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Solve_equations_numerically" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Solve_equations_numerically"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.4</span> <span>Solve equations numerically</span> </div> </a> <ul id="toc-Solve_equations_numerically-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Plotting_of_function_of_single_variable" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Plotting_of_function_of_single_variable"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.5</span> <span>Plotting of function of single variable</span> </div> </a> <ul id="toc-Plotting_of_function_of_single_variable-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Plotting_of_function_of_two_variables" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Plotting_of_function_of_two_variables"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.6</span> <span>Plotting of function of two variables</span> </div> </a> <ul id="toc-Plotting_of_function_of_two_variables-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Animation_of_functions" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Animation_of_functions"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.7</span> <span>Animation of functions</span> </div> </a> <ul id="toc-Animation_of_functions-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Laplace_transform" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Laplace_transform"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.8</span> <span>Laplace transform</span> </div> </a> <ul id="toc-Laplace_transform-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Fourier_transform" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Fourier_transform"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.9</span> <span>Fourier transform</span> </div> </a> <ul id="toc-Fourier_transform-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Integral_equations" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Integral_equations"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.10</span> <span>Integral equations</span> </div> </a> <ul id="toc-Integral_equations-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Use_of_the_Maple_engine" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Use_of_the_Maple_engine"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Use of the Maple engine</span> </div> </a> <ul id="toc-Use_of_the_Maple_engine-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"> <span class="vector-toc-numb">7</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon 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mw-list-item"><a href="https://cs.wikipedia.org/wiki/Maple" title="Maple – Czech" lang="cs" hreflang="cs" data-title="Maple" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Maple" title="Maple – Danish" lang="da" hreflang="da" data-title="Maple" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Maple_(Software)" title="Maple (Software) – German" lang="de" hreflang="de" data-title="Maple (Software)" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Maple_(software)" title="Maple (software) – Spanish" lang="es" hreflang="es" data-title="Maple (software)" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%DB%8C%D9%BE%D9%84" title="میپل – Persian" lang="fa" hreflang="fa" data-title="میپل" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Maple" title="Maple – French" lang="fr" hreflang="fr" data-title="Maple" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%A9%94%EC%9D%B4%ED%94%8C_(%EC%86%8C%ED%94%84%ED%8A%B8%EC%9B%A8%EC%96%B4)" title="메이플 (소프트웨어) – Korean" lang="ko" hreflang="ko" data-title="메이플 (소프트웨어)" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Maple_(perangkat_lunak)" title="Maple (perangkat lunak) – Indonesian" lang="id" hreflang="id" data-title="Maple (perangkat lunak)" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Maple" title="Maple – Italian" lang="it" hreflang="it" data-title="Maple" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/Maple" title="Maple – Hebrew" lang="he" hreflang="he" data-title="Maple" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Maple" title="Maple – Lithuanian" lang="lt" hreflang="lt" data-title="Maple" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Maple_(szoftver)" title="Maple (szoftver) – Hungarian" lang="hu" hreflang="hu" data-title="Maple (szoftver)" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Maple" title="Maple – Dutch" lang="nl" hreflang="nl" data-title="Maple" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/Maple" title="Maple – Japanese" lang="ja" hreflang="ja" data-title="Maple" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Maple" title="Maple – Polish" lang="pl" hreflang="pl" data-title="Maple" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Maple" title="Maple – Portuguese" lang="pt" hreflang="pt" data-title="Maple" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/Maple" title="Maple – Russian" lang="ru" hreflang="ru" data-title="Maple" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Maple_(CAS)" title="Maple (CAS) – Simple English" lang="en-simple" hreflang="en-simple" data-title="Maple (CAS)" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Maple" title="Maple – Slovenian" lang="sl" hreflang="sl" data-title="Maple" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%85%DB%8E%DB%8C%D9%BE%DA%B5" title="مێیپڵ – Central Kurdish" lang="ckb" hreflang="ckb" data-title="مێیپڵ" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Maple_(%D1%81%D0%BE%D1%84%D1%82%D0%B2%D0%B5%D1%80)" title="Maple (софтвер) – Serbian" lang="sr" hreflang="sr" data-title="Maple (софтвер)" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Maple" title="Maple – Finnish" lang="fi" hreflang="fi" data-title="Maple" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Maple" title="Maple – Swedish" lang="sv" hreflang="sv" data-title="Maple" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Maple_(yaz%C4%B1l%C4%B1m)" title="Maple (yazılım) – Turkish" lang="tr" hreflang="tr" data-title="Maple (yazılım)" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/Maple" title="Maple – Ukrainian" lang="uk" hreflang="uk" data-title="Maple" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Maple" title="Maple – Vietnamese" lang="vi" hreflang="vi" data-title="Maple" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/Maple" title="Maple – Chinese" lang="zh" hreflang="zh" data-title="Maple" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q139380#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit 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class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Mathematical computing environment</div> <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">For other uses, see <a href="/wiki/Maple_(disambiguation)" class="mw-disambig" title="Maple (disambiguation)">Maple (disambiguation)</a>.</div> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox vevent"><caption class="infobox-title summary">Maple</caption><tbody><tr><td colspan="2" class="infobox-image logo"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:Maple_2015_logo.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/30/Maple_2015_logo.svg/220px-Maple_2015_logo.svg.png" decoding="async" width="220" height="72" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/30/Maple_2015_logo.svg/330px-Maple_2015_logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/30/Maple_2015_logo.svg/440px-Maple_2015_logo.svg.png 2x" data-file-width="252" data-file-height="83" /></a></span></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="/wiki/Programmer" title="Programmer">Developer(s)</a></th><td class="infobox-data"><a href="/wiki/Waterloo_Maple" title="Waterloo Maple">Waterloo Maple</a> (Maplesoft)</td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;">Initial release</th><td class="infobox-data">1982</td></tr><tr style="display: none;"><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="/wiki/Software_release_life_cycle" title="Software release life cycle">Stable release</a></th><td class="infobox-data"><div style="margin:0px;">2024 (6 March 2024<span class="noprint">; 8 months ago</span><span style="display:none"> (<span class="bday dtstart published updated">2024-03-06</span>)</span>) <span class="plainlinks"><a class="external text" href="https://en.wikipedia.org/w/index.php?title=Template:Latest_stable_software_release/Maple&action=edit">[±]</a></span><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> </div></td></tr><tr style="display:none"><td colspan="2"> </td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;">Written in</th><td class="infobox-data"><a href="/wiki/C_(programming_language)" title="C (programming language)">C</a>, <a href="/wiki/Java_(programming_language)" title="Java (programming language)">Java</a>, Maple</td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="/wiki/Computing_platform" title="Computing platform">Platform</a></th><td class="infobox-data"><a href="/wiki/Microsoft_Windows" title="Microsoft Windows">Windows</a> (7, 8 and 10), <a href="/wiki/MacOS" title="MacOS">macOS</a>, <a href="/wiki/Linux" title="Linux">Linux</a></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;">Available in</th><td class="infobox-data"><a href="/wiki/English_language" title="English language">English</a>, <a href="/wiki/Japanese_language" title="Japanese language">Japanese</a>, and limited support in additional languages<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></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="/wiki/Software_categories#Categorization_approaches" title="Software categories">Type</a></th><td class="infobox-data"><a href="/wiki/Computer_algebra_system" title="Computer algebra system">Computer algebra system</a>, <a href="/wiki/Numeric_computation" class="mw-redirect" title="Numeric computation">Numeric computation</a></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;"><a href="/wiki/Software_license" title="Software license">License</a></th><td class="infobox-data"><a href="/wiki/Proprietary_software" title="Proprietary software">Proprietary</a> <a href="/wiki/Commercial_software" title="Commercial software">commercial software</a></td></tr><tr><th scope="row" class="infobox-label" style="white-space: nowrap;">Website</th><td class="infobox-data"><span class="url"><a rel="nofollow" class="external text" href="https://www.maplesoft.com/products/Maple/">www<wbr />.maplesoft<wbr />.com<wbr />/products<wbr />/Maple<wbr />/</a></span></td></tr></tbody></table> <p><b>Maple</b> is a <a href="/wiki/Symbolic_computation" class="mw-redirect" title="Symbolic computation">symbolic</a> and <a href="/wiki/Numerical_analysis" title="Numerical analysis">numeric</a> computing environment as well as a <a href="/wiki/Programming_paradigm#Multi-paradigm" title="Programming paradigm">multi-paradigm programming language</a>. It covers several areas of technical computing, such as symbolic mathematics, numerical analysis, data processing, visualization, and others. A toolbox, <a href="/wiki/MapleSim" title="MapleSim">MapleSim</a>, adds functionality for multidomain physical modeling and code generation. </p><p>Maple's capacity for symbolic computing include those of a general-purpose <a href="/wiki/Computer_algebra_system" title="Computer algebra system">computer algebra system</a>. For instance, it can manipulate mathematical expressions and find symbolic solutions to certain problems, such as those arising from ordinary and partial <a href="/wiki/Differential_equations" class="mw-redirect" title="Differential equations">differential equations</a>. </p><p>Maple is developed commercially by the Canadian software company <a href="/wiki/Maplesoft" class="mw-redirect" title="Maplesoft">Maplesoft</a>. The name 'Maple' is a reference to the software's <a href="/wiki/Flag_of_Canada" title="Flag of Canada">Canadian heritage</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Overview">Overview</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=1" title="Edit section: Overview"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Core_functionality">Core functionality</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=2" title="Edit section: Core functionality"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Users can enter mathematics in traditional <a href="/wiki/Mathematical_notation" title="Mathematical notation">mathematical notation</a>. Custom user interfaces can also be created. There is support for numeric computations, to arbitrary precision, as well as symbolic computation and visualization. Examples of symbolic computations are given below. </p><p>Maple incorporates a <a href="/wiki/Type_system#Dynamic_typing" title="Type system">dynamically typed</a> imperative-style <a href="/wiki/Programming_language" title="Programming language">programming language</a> (resembling <a href="/wiki/Pascal_(programming_language)" title="Pascal (programming language)">Pascal</a>), which permits variables of lexical <a href="/wiki/Scope_(programming)" class="mw-redirect" title="Scope (programming)">scope</a>.<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> There are also interfaces to other languages (<a href="/wiki/C_(programming_language)" title="C (programming language)">C</a>, <a href="/wiki/C_Sharp_(programming_language)" title="C Sharp (programming language)">C#</a>, <a href="/wiki/Fortran" title="Fortran">Fortran</a>, <a href="/wiki/Java_(programming_language)" title="Java (programming language)">Java</a>, <a href="/wiki/MATLAB" title="MATLAB">MATLAB</a>, and <a href="/wiki/Visual_Basic" title="Visual Basic">Visual Basic</a>), as well as to <a href="/wiki/Microsoft_Excel" title="Microsoft Excel">Microsoft Excel</a>. </p><p>Maple supports <a href="/wiki/MathML" title="MathML">MathML</a> 2.0, which is a <a href="/wiki/W3C" class="mw-redirect" title="W3C">W3C</a> format for representing and interpreting mathematical expressions, including their display in web pages.<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> There is also functionality for converting expressions from traditional mathematical notation to markup suitable for the typesetting system <a href="/wiki/LaTeX" title="LaTeX">LaTeX</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Architecture">Architecture</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=3" title="Edit section: Architecture"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Maple is based on a small <a href="/wiki/Kernel_(operating_system)" title="Kernel (operating system)">kernel</a>, written in <a href="/wiki/C_(programming_language)" title="C (programming language)">C</a>, which provides the Maple language. Most functionality is provided by libraries, which come from a variety of sources. Most of the libraries are written in the Maple language; these have viewable source code. Many numerical computations are performed by the <a href="/wiki/NAG_Numerical_Libraries" class="mw-redirect" title="NAG Numerical Libraries">NAG Numerical Libraries</a>, <a href="/wiki/Automatically_Tuned_Linear_Algebra_Software" title="Automatically Tuned Linear Algebra Software">ATLAS</a> libraries, or <a href="/wiki/GNU_Multi-Precision_Library" class="mw-redirect" title="GNU Multi-Precision Library">GMP</a> libraries. </p><p>Different functionality in Maple requires numerical data in different formats. Symbolic expressions are stored in memory as <a href="/wiki/Directed_acyclic_graph" title="Directed acyclic graph">directed acyclic graphs</a>. The standard interface and calculator interface are written in <a href="/wiki/Java_(programming_language)" title="Java (programming language)">Java</a>. </p> <div class="mw-heading mw-heading2"><h2 id="History">History</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=4" title="Edit section: History"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The first concept of Maple arose from a meeting in late 1980 at the <a href="/wiki/University_of_Waterloo" title="University of Waterloo">University of Waterloo</a>.<sup id="cite_ref-MacCallum2018_5-0" class="reference"><a href="#cite_note-MacCallum2018-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> Researchers at the university wished to purchase a computer powerful enough to run the <a href="/wiki/Lisp_(programming_language)" title="Lisp (programming language)">Lisp-based</a> computer algebra system <a href="/wiki/Macsyma" title="Macsyma">Macsyma</a>. Instead, they opted to develop their own computer algebra system, named Maple, that would run on lower cost computers. Aiming for portability, they began writing Maple in programming languages from the <a href="/wiki/BCPL" title="BCPL">BCPL</a> family (initially using a subset of <a href="/wiki/B_(programming_language)" title="B (programming language)">B</a> and <a href="/wiki/C_(programming_language)" title="C (programming language)">C</a>, and later on only C).<sup id="cite_ref-MacCallum2018_5-1" class="reference"><a href="#cite_note-MacCallum2018-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> A first limited version appeared after three weeks, and fuller versions entered mainstream use beginning in 1982.<sup id="cite_ref-Walz1998_6-0" class="reference"><a href="#cite_note-Walz1998-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> By the end of 1983, over 50 universities had copies of Maple installed on their machines.<sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="This claim needs references to reliable sources. (April 2020)">citation needed</span></a></i>]</sup> </p><p>In 1984, the research group arranged with <a href="/wiki/Watcom" title="Watcom">Watcom Products Inc</a> to license and distribute the first commercially available version, Maple 3.3.<sup id="cite_ref-Walz1998_6-1" class="reference"><a href="#cite_note-Walz1998-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> In 1988 <a href="/wiki/Waterloo_Maple_Inc." class="mw-redirect" title="Waterloo Maple Inc.">Waterloo Maple Inc.</a> (Maplesoft) was founded. The company's original goal was to manage the distribution of the software, but eventually it grew to have its own R&D department, where most of Maple's development takes place today (the remainder being done at various university laboratories<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup>). </p><p>In 1989, the first graphical user interface for Maple was developed and included with version 4.3 for the <a href="/wiki/Macintosh" class="mw-redirect" title="Macintosh">Macintosh</a>. X11 and Windows versions of the new interface followed in 1990 with Maple V. In 1992, Maple V Release 2 introduced the Maple "worksheet" that combined text, graphics, and input and typeset output.<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> In 1994 a special issue of a newsletter created by Maple developers called <i>MapleTech</i> was published.<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> </p><p>In 1999, with the release of Maple 6, Maple included some of the <a href="/wiki/NAG_Numerical_Libraries" class="mw-redirect" title="NAG Numerical Libraries">NAG Numerical Libraries</a>.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> In 2003, the current "standard" interface was introduced with Maple 9. This interface is primarily written in <a href="/wiki/Java_(programming_language)" title="Java (programming language)">Java</a> (although portions, such as the rules for typesetting mathematical formulae, are written in the Maple language). The Java interface was criticized for being slow;<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> improvements have been made in later versions, although the Maple 11 documentation<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> recommends the previous ("classic") interface for users with less than 500 MB of physical memory. </p><p>Between 1995 and 2005 Maple lost significant market share to competitors due to a weaker user interface.<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> With Maple 10 in 2005, Maple introduced a new "document mode" interface, which has since been further developed across several releases. </p><p>In September 2009 Maple and Maplesoft were acquired by the Japanese software retailer <a href="/w/index.php?title=Cybernet_Systems&action=edit&redlink=1" class="new" title="Cybernet Systems (page does not exist)">Cybernet Systems</a>.<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Version_history">Version history</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=5" title="Edit section: Version history"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1184024115">.mw-parser-output .div-col{margin-top:0.3em;column-width:30em}.mw-parser-output .div-col-small{font-size:90%}.mw-parser-output .div-col-rules{column-rule:1px solid #aaa}.mw-parser-output .div-col dl,.mw-parser-output .div-col ol,.mw-parser-output .div-col ul{margin-top:0}.mw-parser-output .div-col li,.mw-parser-output .div-col dd{page-break-inside:avoid;break-inside:avoid-column}</style><div class="div-col" style="column-width: 20em;"> <ul><li>Maple 1.0: January, 1982</li> <li>Maple 1.1: January, 1982</li> <li>Maple 2.0: May, 1982</li> <li>Maple 2.1: June, 1982</li> <li>Maple 2.15: August, 1982</li> <li>Maple 2.2: December, 1982</li> <li>Maple 3.0: May, 1983</li> <li>Maple 3.1: October, 1983</li> <li>Maple 3.2: April, 1984</li> <li>Maple 3.3: March, 1985 (first public available version)</li> <li>Maple 4.0: April, 1986</li> <li>Maple 4.1: May, 1987</li> <li>Maple 4.2: December, 1987</li> <li>Maple 4.3: March, 1989</li> <li>Maple V: August, 1990</li> <li>Maple V R2: November 1992</li> <li>Maple V R3: March 15, 1994</li> <li>Maple V R4: January, 1996</li> <li>Maple V R5: November 1, 1997</li> <li>Maple 6: December 6, 1999</li> <li>Maple 7: July 1, 2001</li> <li>Maple 8: April 16, 2002</li> <li>Maple 9: June 30, 2003</li> <li>Maple 9.5: April 15, 2004</li> <li>Maple 10: May 10, 2005</li> <li>Maple 11: February 21, 2007</li> <li>Maple 11.01: July, 2007</li> <li>Maple 11.02: November, 2007</li> <li>Maple 12: May, 2008</li> <li>Maple 12.01: October, 2008</li> <li>Maple 12.02: December, 2008</li> <li>Maple 13: April 28, 2009<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup></li> <li>Maple 13.01: July, 2009</li> <li>Maple 13.02: October, 2009</li> <li>Maple 14: April 29, 2010<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup></li> <li>Maple 14.01: October 28, 2010</li> <li>Maple 15: April 13, 2011<sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup></li> <li>Maple 15.01: June 21, 2011</li> <li>Maple 16: March 28, 2012<sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup></li> <li>Maple 16.01: May 16, 2012</li> <li>Maple 17: March 13, 2013<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup></li> <li>Maple 17.01: July, 2013</li> <li>Maple 18: Mar 5, 2014<sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup></li> <li>Maple 18.01: May, 2014</li> <li>Maple 18.01a: July, 2014</li> <li>Maple 18.02: Nov, 2014</li> <li>Maple 2015.0: Mar 4, 2015<sup id="cite_ref-21" class="reference"><a href="#cite_note-21"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup></li> <li>Maple 2015.1: Nov, 2015</li> <li>Maple 2016.0: March 2, 2016<sup id="cite_ref-22" class="reference"><a href="#cite_note-22"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup></li> <li>Maple 2016.1: April 20, 2016</li> <li>Maple 2016.1a: April 27, 2016</li> <li>Maple 2017.0: May 25, 2017<sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup></li> <li>Maple 2017.1: June 28, 2017</li> <li>Maple 2017.2: August 2, 2017</li> <li>Maple 2017.3: October 3, 2017</li> <li>Maple 2018.0: March 21, 2018<sup id="cite_ref-24" class="reference"><a href="#cite_note-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup></li> <li>Maple 2019.0: March 14, 2019<sup id="cite_ref-25" class="reference"><a href="#cite_note-25"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup></li> <li>Maple 2020.0: March 12, 2020<sup id="cite_ref-26" class="reference"><a href="#cite_note-26"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup></li> <li>Maple 2021.0: March 10, 2021<sup id="cite_ref-27" class="reference"><a href="#cite_note-27"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup></li> <li>Maple 2022.0: March 15, 2022<sup id="cite_ref-28" class="reference"><a href="#cite_note-28"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup></li> <li>Maple 2023.0: March 9, 2023<sup id="cite_ref-29" class="reference"><a href="#cite_note-29"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup></li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="Features">Features</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=6" title="Edit section: Features"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Features of Maple include:<sup id="cite_ref-30" class="reference"><a href="#cite_note-30"><span class="cite-bracket">[</span>30<span class="cite-bracket">]</span></a></sup> </p> <ul><li>Support for symbolic and numeric computation with <a href="/wiki/Arbitrary-precision_arithmetic" title="Arbitrary-precision arithmetic">arbitrary precision</a></li> <li><a href="/wiki/Elementary_function" title="Elementary function">Elementary</a> and <a href="/wiki/Special_functions" title="Special functions">special mathematical function</a> libraries</li> <li><a href="/wiki/Complex_number" title="Complex number">Complex numbers</a> and interval arithmetic</li> <li>Arithmetic, <a href="/wiki/Greatest_common_divisor" title="Greatest common divisor">greatest common divisors</a> and <a href="/wiki/Factorization" title="Factorization">factorization</a> for <a href="/wiki/Multivariate_polynomial" class="mw-redirect" title="Multivariate polynomial">multivariate polynomials</a> over the rationals, <a href="/wiki/Finite_field" title="Finite field">finite fields</a>, <a href="/wiki/Algebraic_number_field" title="Algebraic number field">algebraic number fields</a>, and <a href="/wiki/Algebraic_function_field" title="Algebraic function field">algebraic function fields</a></li> <li>Limits, series and <a href="/wiki/Asymptotic_expansion" title="Asymptotic expansion">asymptotic expansions</a></li> <li><a href="/wiki/Gr%C3%B6bner_basis" title="Gröbner basis">Gröbner basis</a></li> <li>Differential Algebra</li> <li><a href="/wiki/Matrix_operation#Basic_operations" class="mw-redirect" title="Matrix operation">Matrix manipulation</a> tools including support for <a href="/wiki/Sparse_array" class="mw-redirect" title="Sparse array">sparse arrays</a></li> <li>Mathematical <a href="/wiki/Function_graphing" class="mw-redirect" title="Function graphing">function graphing</a> and animation tools</li> <li>Solvers for <a href="/wiki/Systems_of_equations" class="mw-redirect" title="Systems of equations">systems of equations</a>, <a href="/wiki/Diophantine_equation" title="Diophantine equation">diophantine equations</a>, <a href="/wiki/Ordinary_differential_equation" title="Ordinary differential equation">ODEs</a>, <a href="/wiki/Partial_differential_equation" title="Partial differential equation">PDEs</a>, <a href="/wiki/Differential_algebraic_equation" class="mw-redirect" title="Differential algebraic equation">DAEs</a>, <a href="/wiki/Delay_differential_equation" title="Delay differential equation">DDEs</a> and <a href="/wiki/Recurrence_relation" title="Recurrence relation">recurrence relations</a></li> <li>Numeric and symbolic tools for discrete and continuous <a href="/wiki/Calculus" title="Calculus">calculus</a> including definite and <a href="/wiki/Indefinite_integration" class="mw-redirect" title="Indefinite integration">indefinite integration</a>, definite and <a href="/wiki/Indefinite_sum" title="Indefinite sum">indefinite summation</a>, automatic differentiation and continuous and discrete <a href="/wiki/Integral_transform" title="Integral transform">integral transforms</a></li> <li>Constrained and unconstrained local and global <a href="/wiki/Mathematical_optimization" title="Mathematical optimization">optimization</a></li> <li><a href="/wiki/Statistics" title="Statistics">Statistics</a> including model fitting, <a href="/wiki/Hypothesis_testing" class="mw-redirect" title="Hypothesis testing">hypothesis testing</a>, and <a href="/wiki/Probability_distribution" title="Probability distribution">probability distributions</a></li> <li>Tools for data manipulation, visualization and analysis</li> <li>Tools for probability and <a href="/wiki/Combinatoric" class="mw-redirect" title="Combinatoric">combinatoric</a> problems</li> <li>Support for time-series and unit based data</li> <li>Connection to online collection of financial and economic data</li> <li>Tools for financial calculations including bonds, annuities, derivatives, options etc.</li> <li>Calculations and simulations on random processes</li> <li>Tools for <a href="/wiki/Text_mining" title="Text mining">text mining</a> including <a href="/wiki/Regular_expressions" class="mw-redirect" title="Regular expressions">regular expressions</a></li> <li>Tools for <a href="/wiki/Signal_processing" title="Signal processing">signal processing</a> and linear and non-linear <a href="/wiki/Control_system" title="Control system">control systems</a></li> <li><a href="/wiki/Discrete_math" class="mw-redirect" title="Discrete math">Discrete math</a> tools including <a href="/wiki/Number_theory" title="Number theory">number theory</a></li> <li>Tools for visualizing and analysing directed and undirected <a href="/wiki/Graph_(discrete_mathematics)" title="Graph (discrete mathematics)">graphs</a></li> <li>Group theory including permutation and finitely presented groups</li> <li>Symbolic tensor functions</li> <li>Import and export filters for data, image, sound, <a href="/wiki/Computer-aided_design" title="Computer-aided design">CAD</a>, and document formats</li> <li>Technical word processing including <a href="/wiki/Formula_editor" title="Formula editor">formula editing</a></li> <li>Programming language supporting <a href="/wiki/Procedural_programming" title="Procedural programming">procedural</a>, <a href="/wiki/Functional_programming" title="Functional programming">functional</a> and <a href="/wiki/Object-oriented_programming" title="Object-oriented programming">object-oriented</a> constructs</li> <li>Tools for adding <a href="/wiki/User_interface" title="User interface">user interfaces</a> to calculations and applications</li> <li>Tools for connecting to <a href="/wiki/SQL" title="SQL">SQL</a>, <a href="/wiki/Java_(software_platform)" title="Java (software platform)">Java</a>, <a href="/wiki/.NET_Framework" title=".NET Framework">.NET</a>, <a href="/wiki/C%2B%2B" title="C++">C++</a>, <a href="/wiki/Fortran" title="Fortran">Fortran</a> and <a href="/wiki/Hypertext_Transfer_Protocol" class="mw-redirect" title="Hypertext Transfer Protocol">http</a></li> <li>Tools for generating code for <a href="/wiki/C_(programming_language)" title="C (programming language)">C</a>, <a href="/wiki/C_Sharp_(programming_language)" title="C Sharp (programming language)">C#</a>, <a href="/wiki/Fortran" title="Fortran">Fortran</a>, <a href="/wiki/Java_(programming_language)" title="Java (programming language)">Java</a>, <a href="/wiki/JavaScript" title="JavaScript">JavaScript</a>, <a href="/wiki/Julia_(programming_language)" title="Julia (programming language)">Julia</a>, <a href="/wiki/Matlab" class="mw-redirect" title="Matlab">Matlab</a>, <a href="/wiki/Perl" title="Perl">Perl</a>, <a href="/wiki/Python_(programming_language)" title="Python (programming language)">Python</a>, <a href="/wiki/R_(programming_language)" title="R (programming language)">R</a>, and <a href="/wiki/Visual_Basic" title="Visual Basic">Visual Basic</a></li> <li>Tools for <a href="/wiki/Parallel_programming" class="mw-redirect" title="Parallel programming">parallel programming</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Examples_of_Maple_code">Examples of Maple code</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=7" title="Edit section: Examples of Maple code"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The following code, which computes the factorial of a nonnegative integer, is an example of an <a href="/wiki/Imperative_programming" title="Imperative programming">imperative programming</a> construct within Maple: </p> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="nv">myfac</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="k">proc</span><span class="p">(</span><span class="nv">n::nonnegint</span><span class="p">)</span> <span class="w"> </span><span class="k">local</span><span class="w"> </span><span class="nv">out</span><span class="o">,</span><span class="w"> </span><span class="nv">i</span><span class="o">;</span> <span class="w"> </span><span class="nv">out</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="m">1</span><span class="o">;</span> <span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="nv">i</span><span class="w"> </span><span class="k">from</span><span class="w"> </span><span class="m">2</span><span class="w"> </span><span class="k">to</span><span class="w"> </span><span class="nv">n</span><span class="w"> </span><span class="k">do</span> <span class="w"> </span><span class="nv">out</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nv">out</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="nv">i</span> <span class="w"> </span><span class="k">end</span><span class="w"> </span><span class="k">do</span><span class="o">;</span> <span class="w"> </span><span class="nv">out</span> <span class="k">end</span><span class="w"> </span><span class="k">proc</span><span class="o">;</span> </pre></div> <p>Simple functions can also be defined using the "maps to" arrow notation: </p> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="w"> </span><span class="nv">myfac</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nv">n</span><span class="w"> </span><span class="o">-></span><span class="w"> </span><span class="nf">product</span><span class="p">(</span><span class="nv">i</span><span class="o">,</span><span class="w"> </span><span class="nv">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="m">1.</span><span class="o">.</span><span class="nv">n</span><span class="p">)</span><span class="o">;</span> </pre></div> <div class="mw-heading mw-heading3"><h3 id="Integration">Integration</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=8" title="Edit section: Integration"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Find </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \int \cos \left({\frac {x}{a}}\right)dx}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>∫</mo> <mi>cos</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>x</mi> <mi>a</mi> </mfrac> </mrow> <mo>)</mo> </mrow> <mi>d</mi> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \int \cos \left({\frac {x}{a}}\right)dx}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2e96bbf0d99d3ce45f35978a0379228c7e30a8c9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:13.179ex; height:5.676ex;" alt="{\displaystyle \int \cos \left({\frac {x}{a}}\right)dx}"></span>.</dd></dl> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="w"> </span><span class="nf">int</span><span class="p">(</span><span class="nf">cos</span><span class="p">(</span><span class="nv">x</span><span class="o">/</span><span class="nv">a</span><span class="p">)</span><span class="o">,</span><span class="w"> </span><span class="nv">x</span><span class="p">)</span><span class="o">;</span> </pre></div> <p>Output: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a\sin \left({\frac {x}{a}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mi>sin</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>x</mi> <mi>a</mi> </mfrac> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\sin \left({\frac {x}{a}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1b2d4fea50c8d326a64538d0b5fad2dbebea11f3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:9.414ex; height:4.843ex;" alt="{\displaystyle a\sin \left({\frac {x}{a}}\right)}"></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Determinant">Determinant</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=9" title="Edit section: Determinant"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Compute the determinant of a matrix. </p> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="w"> </span><span class="nv">M</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nf">Matrix</span><span class="p">([[</span><span class="m">1</span><span class="o">,</span><span class="m">2</span><span class="o">,</span><span class="m">3</span><span class="p">]</span><span class="o">,</span><span class="w"> </span><span class="p">[</span><span class="nv">a</span><span class="o">,</span><span class="nv">b</span><span class="o">,</span><span class="nv">c</span><span class="p">]</span><span class="o">,</span><span class="w"> </span><span class="p">[</span><span class="nv">x</span><span class="o">,</span><span class="nv">y</span><span class="o">,</span><span class="nv">z</span><span class="p">]])</span><span class="o">;</span><span class="w"> </span><span class="nv">#</span><span class="w"> </span><span class="nv">example</span><span class="w"> </span><span class="nv">Matrix</span> </pre></div> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{bmatrix}1&2&3\\a&b&c\\x&y&z\end{bmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>3</mn> </mtd> </mtr> <mtr> <mtd> <mi>a</mi> </mtd> <mtd> <mi>b</mi> </mtd> <mtd> <mi>c</mi> </mtd> </mtr> <mtr> <mtd> <mi>x</mi> </mtd> <mtd> <mi>y</mi> </mtd> <mtd> <mi>z</mi> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{bmatrix}1&2&3\\a&b&c\\x&y&z\end{bmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f702e6adc2cc895cbc853e616befa28dc5d91fef" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.171ex; width:12.152ex; height:9.509ex;" alt="{\displaystyle {\begin{bmatrix}1&2&3\\a&b&c\\x&y&z\end{bmatrix}}}"></span></dd></dl> <pre>LinearAlgebra:-Determinant(M); </pre> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle bz-cy+3ay-2az+2xc-3xb}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>b</mi> <mi>z</mi> <mo>−</mo> <mi>c</mi> <mi>y</mi> <mo>+</mo> <mn>3</mn> <mi>a</mi> <mi>y</mi> <mo>−</mo> <mn>2</mn> <mi>a</mi> <mi>z</mi> <mo>+</mo> <mn>2</mn> <mi>x</mi> <mi>c</mi> <mo>−</mo> <mn>3</mn> <mi>x</mi> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle bz-cy+3ay-2az+2xc-3xb}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3e1baead1e3293dfe2aeef41058d4023c2d65ab6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:32.467ex; height:2.509ex;" alt="{\displaystyle bz-cy+3ay-2az+2xc-3xb}"></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Series_expansion">Series expansion</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=10" title="Edit section: Series expansion"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="nf">series</span><span class="p">(</span><span class="nf">tanh</span><span class="p">(</span><span class="nv">x</span><span class="p">)</span><span class="o">,</span><span class="w"> </span><span class="nv">x</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="m">0</span><span class="o">,</span><span class="w"> </span><span class="m">15</span><span class="p">)</span> </pre></div> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x-{\frac {1}{3}}\,x^{3}+{\frac {2}{15}}\,x^{5}-{\frac {17}{315}}\,x^{7}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> <mspace width="thinmathspace" /> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>2</mn> <mn>15</mn> </mfrac> </mrow> <mspace width="thinmathspace" /> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>5</mn> </mrow> </msup> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>17</mn> <mn>315</mn> </mfrac> </mrow> <mspace width="thinmathspace" /> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>7</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x-{\frac {1}{3}}\,x^{3}+{\frac {2}{15}}\,x^{5}-{\frac {17}{315}}\,x^{7}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7dbb5e4179bad4a0b730f04c1418d25635279d64" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:27.647ex; height:5.176ex;" alt="{\displaystyle x-{\frac {1}{3}}\,x^{3}+{\frac {2}{15}}\,x^{5}-{\frac {17}{315}}\,x^{7}}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {}+{\frac {62}{2835}}\,x^{9}-{\frac {1382}{155925}}\,x^{11}+{\frac {21844}{6081075}}\,x^{13}+{\mathcal {O}}\left(x^{15}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>62</mn> <mn>2835</mn> </mfrac> </mrow> <mspace width="thinmathspace" /> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>9</mn> </mrow> </msup> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1382</mn> <mn>155925</mn> </mfrac> </mrow> <mspace width="thinmathspace" /> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msup> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>21844</mn> <mn>6081075</mn> </mfrac> </mrow> <mspace width="thinmathspace" /> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>13</mn> </mrow> </msup> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-caligraphic" mathvariant="script">O</mi> </mrow> </mrow> <mrow> <mo>(</mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>15</mn> </mrow> </msup> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {}+{\frac {62}{2835}}\,x^{9}-{\frac {1382}{155925}}\,x^{11}+{\frac {21844}{6081075}}\,x^{13}+{\mathcal {O}}\left(x^{15}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/446c8c35ff41ca68e46fea4bfe9167eaa77034b0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:51.162ex; height:5.343ex;" alt="{\displaystyle {}+{\frac {62}{2835}}\,x^{9}-{\frac {1382}{155925}}\,x^{11}+{\frac {21844}{6081075}}\,x^{13}+{\mathcal {O}}\left(x^{15}\right)}"></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Solve_equations_numerically">Solve equations numerically</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=11" title="Edit section: Solve equations numerically"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The following code numerically calculates the roots of a high-order polynomial: </p> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="w"> </span><span class="nv">f</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nv">x</span><span class="o">^</span><span class="m">53</span><span class="o">-</span><span class="m">88</span><span class="o">*</span><span class="nv">x</span><span class="o">^</span><span class="m">5</span><span class="o">-</span><span class="m">3</span><span class="o">*</span><span class="nv">x</span><span class="o">-</span><span class="m">5</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="m">0</span> <span class="w"> </span><span class="nf">fsolve</span><span class="p">(</span><span class="nv">f</span><span class="p">)</span> <span class="w"> </span><span class="o">-</span><span class="m">1.097486315</span><span class="o">,</span><span class="w"> </span><span class="o">-.</span><span class="m">5226535640</span><span class="o">,</span><span class="w"> </span><span class="m">1.099074017</span> </pre></div> <p>The same command can also solve systems of equations: </p> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="w"> </span><span class="nv">f</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="p">(</span><span class="nf">cos</span><span class="p">(</span><span class="nv">x</span><span class="o">+</span><span class="nv">y</span><span class="p">))</span><span class="o">^</span><span class="m">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="nf">exp</span><span class="p">(</span><span class="nv">x</span><span class="p">)</span><span class="o">*</span><span class="nv">y</span><span class="o">+</span><span class="nf">cot</span><span class="p">(</span><span class="nv">x</span><span class="o">-</span><span class="nv">y</span><span class="p">)</span><span class="o">+</span><span class="nf">cosh</span><span class="p">(</span><span class="nv">z</span><span class="o">+</span><span class="nv">x</span><span class="p">)</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="m">0</span><span class="o">:</span> <span class="w"> </span><span class="nv">g</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nv">x</span><span class="o">^</span><span class="m">5</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="m">8</span><span class="o">*</span><span class="nv">y</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="m">2</span><span class="o">:</span> <span class="w"> </span><span class="nv">h</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nv">x</span><span class="o">+</span><span class="m">3</span><span class="o">*</span><span class="nv">y</span><span class="o">-</span><span class="m">77</span><span class="o">*</span><span class="nv">z</span><span class="o">=</span><span class="m">55</span><span class="o">;</span> <span class="w"> </span> <span class="w"> </span><span class="nf">fsolve</span><span class="p">(</span><span class="w"> </span><span class="p">{</span><span class="nv">f</span><span class="o">,</span><span class="nv">g</span><span class="o">,</span><span class="nv">h</span><span class="p">}</span><span class="w"> </span><span class="p">)</span><span class="o">;</span> <span class="w"> </span><span class="p">{</span><span class="nv">x</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">-</span><span class="m">2.080507182</span><span class="o">,</span><span class="w"> </span><span class="nv">y</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">-</span><span class="m">5.122547821</span><span class="o">,</span><span class="w"> </span><span class="nv">z</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">-</span><span class="m">0.9408850733</span><span class="p">}</span> </pre></div> <div class="mw-heading mw-heading3"><h3 id="Plotting_of_function_of_single_variable">Plotting of function of single variable</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=12" title="Edit section: Plotting of function of single variable"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Plot <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x\sin(x)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mi>sin</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x\sin(x)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7336b7d125c985f87c0d38e2379e78e1e955da5b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.711ex; height:2.843ex;" alt="{\displaystyle x\sin(x)}"></span> with <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> ranging from -10 to 10: </p> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="w"> </span><span class="nf">plot</span><span class="p">(</span><span class="nv">x</span><span class="o">*</span><span class="nf">sin</span><span class="p">(</span><span class="nv">x</span><span class="p">)</span><span class="o">,</span><span class="w"> </span><span class="nv">x</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">-</span><span class="m">10.</span><span class="o">.</span><span class="m">10</span><span class="p">)</span><span class="o">;</span> </pre></div> <figure class="mw-halign-center" typeof="mw:File/Thumb"><a href="/wiki/File:Maple1DPlot.PNG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b9/Maple1DPlot.PNG/300px-Maple1DPlot.PNG" decoding="async" width="300" height="304" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/b/b9/Maple1DPlot.PNG 1.5x" data-file-width="417" data-file-height="422" /></a><figcaption></figcaption></figure> <div class="mw-heading mw-heading3"><h3 id="Plotting_of_function_of_two_variables">Plotting of function of two variables</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=13" title="Edit section: Plotting of function of two variables"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Plot <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x^{2}+y^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}+y^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f455605b597282c27d7cf2238821bc331479a7e9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.439ex; height:3.009ex;" alt="{\displaystyle x^{2}+y^{2}}"></span> with <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> and <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a6208ec717213d4317e666f1ae872e00620a0d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.155ex; height:2.009ex;" alt="{\displaystyle y}"></span> ranging from -1 to 1: </p> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="nf">plot3d</span><span class="p">(</span><span class="nv">x</span><span class="o">^</span><span class="m">2</span><span class="o">+</span><span class="nv">y</span><span class="o">^</span><span class="m">2</span><span class="o">,</span><span class="w"> </span><span class="nv">x</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">-</span><span class="m">1.</span><span class="o">.</span><span class="m">1</span><span class="o">,</span><span class="w"> </span><span class="nv">y</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">-</span><span class="m">1.</span><span class="o">.</span><span class="m">1</span><span class="p">)</span><span class="o">;</span> </pre></div> <figure class="mw-halign-center" typeof="mw:File/Thumb"><a href="/wiki/File:Maple163DPlot.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Maple163DPlot.jpg/300px-Maple163DPlot.jpg" decoding="async" width="300" height="300" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/f/f9/Maple163DPlot.jpg 1.5x" data-file-width="400" data-file-height="400" /></a><figcaption></figcaption></figure> <div class="mw-heading mw-heading3"><h3 id="Animation_of_functions">Animation of functions</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=14" title="Edit section: Animation of functions"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Animation of function of two variables</li></ul> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f:={\frac {2k^{2}}{\cosh ^{2}\left(xk-4k^{3}t\right)}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo>:=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <msup> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <msup> <mi>cosh</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>⁡</mo> <mrow> <mo>(</mo> <mrow> <mi>x</mi> <mi>k</mi> <mo>−</mo> <mn>4</mn> <msup> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mi>t</mi> </mrow> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f:={\frac {2k^{2}}{\cosh ^{2}\left(xk-4k^{3}t\right)}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ea38a9d5f97f5a5469deb7df690ad9c517f1529b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:22.776ex; height:6.843ex;" alt="{\displaystyle f:={\frac {2k^{2}}{\cosh ^{2}\left(xk-4k^{3}t\right)}}}"></span></dd></dl> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="nv">plots</span><span class="o">:-</span><span class="nf">animate</span><span class="p">(</span><span class="nf">subs</span><span class="p">(</span><span class="nv">k</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="m">0.5</span><span class="o">,</span><span class="w"> </span><span class="nv">f</span><span class="p">)</span><span class="o">,</span><span class="w"> </span><span class="nv">x</span><span class="o">=-</span><span class="m">30.</span><span class="o">.</span><span class="m">30</span><span class="o">,</span><span class="w"> </span><span class="nv">t</span><span class="o">=-</span><span class="m">10.</span><span class="o">.</span><span class="m">10</span><span class="o">,</span><span class="w"> </span><span class="nv">numpoints</span><span class="o">=</span><span class="m">200</span><span class="o">,</span><span class="w"> </span><span class="nv">frames</span><span class="o">=</span><span class="m">50</span><span class="o">,</span><span class="w"> </span><span class="nv">color</span><span class="o">=</span><span class="nv">red</span><span class="o">,</span><span class="w"> </span><span class="nv">thickness</span><span class="o">=</span><span class="m">3</span><span class="p">)</span><span class="o">;</span> </pre></div> <figure class="mw-halign-center" typeof="mw:File/Thumb"><a href="/wiki/File:Bellsoliton2.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/bf/Bellsoliton2.gif/300px-Bellsoliton2.gif" decoding="async" width="300" height="300" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/b/bf/Bellsoliton2.gif 1.5x" data-file-width="400" data-file-height="400" /></a><figcaption>2D bell solution</figcaption></figure> <ul><li>Animation of functions of three variables</li></ul> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="nv">plots</span><span class="o">:-</span><span class="nf">animate3d</span><span class="p">(</span><span class="nf">cos</span><span class="p">(</span><span class="nv">t</span><span class="o">*</span><span class="nv">x</span><span class="p">)</span><span class="o">*</span><span class="nf">sin</span><span class="p">(</span><span class="m">3</span><span class="o">*</span><span class="nv">t</span><span class="o">*</span><span class="nv">y</span><span class="p">)</span><span class="o">,</span><span class="w"> </span><span class="nv">x</span><span class="o">=-</span><span class="nv">Pi</span><span class="o">..</span><span class="nv">Pi</span><span class="o">,</span><span class="w"> </span><span class="nv">y</span><span class="o">=-</span><span class="nv">Pi</span><span class="o">..</span><span class="nv">Pi</span><span class="o">,</span><span class="w"> </span><span class="nv">t</span><span class="o">=</span><span class="m">1.</span><span class="o">.</span><span class="m">2</span><span class="p">)</span><span class="o">;</span> </pre></div> <figure class="mw-halign-center" typeof="mw:File/Thumb"><a href="/wiki/File:3dsincos_animation.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/98/3dsincos_animation.gif/300px-3dsincos_animation.gif" decoding="async" width="300" height="300" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/9/98/3dsincos_animation.gif 1.5x" data-file-width="400" data-file-height="400" /></a><figcaption>3D animation of function</figcaption></figure> <ul><li>Fly-through animation of 3-D plots.<sup id="cite_ref-31" class="reference"><a href="#cite_note-31"><span class="cite-bracket">[</span>31<span class="cite-bracket">]</span></a></sup></li></ul> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="w"> </span><span class="nv">M</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nf">Matrix</span><span class="p">([[</span><span class="m">400</span><span class="o">,</span><span class="m">400</span><span class="o">,</span><span class="m">200</span><span class="p">]</span><span class="o">,</span><span class="w"> </span><span class="p">[</span><span class="m">100</span><span class="o">,</span><span class="m">100</span><span class="o">,-</span><span class="m">400</span><span class="p">]</span><span class="o">,</span><span class="w"> </span><span class="p">[</span><span class="m">1</span><span class="o">,</span><span class="m">1</span><span class="o">,</span><span class="m">1</span><span class="p">]]</span><span class="o">,</span><span class="w"> </span><span class="nv">datatype</span><span class="o">=</span><span class="nv">float</span><span class="p">[</span><span class="m">8</span><span class="p">])</span><span class="o">:</span> <span class="w"> </span><span class="nf">plot3d</span><span class="p">(</span><span class="m">1</span><span class="o">,</span><span class="w"> </span><span class="nv">x</span><span class="o">=</span><span class="m">0.</span><span class="o">.</span><span class="m">2</span><span class="o">*</span><span class="nv">Pi</span><span class="o">,</span><span class="w"> </span><span class="nv">y</span><span class="o">=</span><span class="m">0.</span><span class="o">.</span><span class="nv">Pi</span><span class="o">,</span><span class="w"> </span><span class="nv">axes</span><span class="o">=</span><span class="nv">none</span><span class="o">,</span><span class="w"> </span><span class="nv">coords</span><span class="o">=</span><span class="nv">spherical</span><span class="o">,</span><span class="w"> </span><span class="nv">viewpoint</span><span class="o">=</span><span class="p">[</span><span class="nv">path</span><span class="o">=</span><span class="nv">M</span><span class="p">])</span><span class="o">;</span> </pre></div> <figure class="mw-halign-center" typeof="mw:File/Thumb"><a href="/wiki/File:Maple_plot3D_flythrough.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/d/df/Maple_plot3D_flythrough.gif" decoding="async" width="260" height="260" class="mw-file-element" data-file-width="260" data-file-height="260" /></a><figcaption>Maple plot3D fly-through</figcaption></figure> <div class="mw-heading mw-heading3"><h3 id="Laplace_transform">Laplace transform</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=15" title="Edit section: Laplace transform"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Laplace_transform" title="Laplace transform">Laplace transform</a></li></ul> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="nv">f</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="p">(</span><span class="m">1</span><span class="o">+</span><span class="nv">A</span><span class="o">*</span><span class="nv">t</span><span class="o">+</span><span class="nv">B</span><span class="o">*</span><span class="nv">t</span><span class="o">^</span><span class="m">2</span><span class="p">)</span><span class="o">*</span><span class="nf">exp</span><span class="p">(</span><span class="nv">c</span><span class="o">*</span><span class="nv">t</span><span class="p">)</span><span class="o">;</span> </pre></div> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \left(1+A\,t+B\,t^{2}\right)e^{ct}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>+</mo> <mi>A</mi> <mspace width="thinmathspace" /> <mi>t</mi> <mo>+</mo> <mi>B</mi> <mspace width="thinmathspace" /> <msup> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>)</mo> </mrow> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>c</mi> <mi>t</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left(1+A\,t+B\,t^{2}\right)e^{ct}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8d3d4de5944671cbf814890f3b0301d30810e95b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:18.996ex; height:3.343ex;" alt="{\displaystyle \left(1+A\,t+B\,t^{2}\right)e^{ct}}"></span></dd></dl> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="w"> </span><span class="nv">inttrans</span><span class="o">:-</span><span class="nf">laplace</span><span class="p">(</span><span class="nv">f</span><span class="o">,</span><span class="w"> </span><span class="nv">t</span><span class="o">,</span><span class="w"> </span><span class="nv">s</span><span class="p">)</span><span class="o">;</span> </pre></div> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {1}{s-c}}+{\frac {A}{(s-c)^{2}}}+{\frac {2B}{(s-c)^{3}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mi>s</mi> <mo>−</mo> <mi>c</mi> </mrow> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>A</mi> <mrow> <mo stretchy="false">(</mo> <mi>s</mi> <mo>−</mo> <mi>c</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>B</mi> </mrow> <mrow> <mo stretchy="false">(</mo> <mi>s</mi> <mo>−</mo> <mi>c</mi> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{s-c}}+{\frac {A}{(s-c)^{2}}}+{\frac {2B}{(s-c)^{3}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4021ed8153cbdae6e7570da3fac456fc86718d29" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:28.729ex; height:6.176ex;" alt="{\displaystyle {\frac {1}{s-c}}+{\frac {A}{(s-c)^{2}}}+{\frac {2B}{(s-c)^{3}}}}"></span></dd></dl> <ul><li>inverse Laplace transform</li></ul> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="nv">inttrans</span><span class="o">:-</span><span class="nf">invlaplace</span><span class="p">(</span><span class="m">1</span><span class="o">/</span><span class="p">(</span><span class="nv">s</span><span class="o">-</span><span class="nv">a</span><span class="p">)</span><span class="o">,</span><span class="w"> </span><span class="nv">s</span><span class="o">,</span><span class="w"> </span><span class="nv">x</span><span class="p">)</span><span class="o">;</span> </pre></div> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle e^{ax}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> <mi>x</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle e^{ax}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2c922caffb8d5be4d157a315ce579532f2392e14" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.126ex; height:2.343ex;" alt="{\displaystyle e^{ax}}"></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Fourier_transform">Fourier transform</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=16" title="Edit section: Fourier transform"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Fourier_transform" title="Fourier transform">Fourier transform</a></li></ul> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="w"> </span><span class="nv">inttrans</span><span class="o">:-</span><span class="nf">fourier</span><span class="p">(</span><span class="nf">sin</span><span class="p">(</span><span class="nv">x</span><span class="p">)</span><span class="o">,</span><span class="w"> </span><span class="nv">x</span><span class="o">,</span><span class="w"> </span><span class="nv">w</span><span class="p">)</span> </pre></div> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathrm {I} \pi \,(\mathrm {Dirac} (w+1)-\mathrm {Dirac} (w-1))}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">I</mi> </mrow> <mi>π</mi> <mspace width="thinmathspace" /> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">D</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">r</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">c</mi> </mrow> <mo stretchy="false">(</mo> <mi>w</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">D</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">r</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">c</mi> </mrow> <mo stretchy="false">(</mo> <mi>w</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathrm {I} \pi \,(\mathrm {Dirac} (w+1)-\mathrm {Dirac} (w-1))}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9702cdc4c5f1c569ac0298f6f456046d270341ed" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:33.219ex; height:2.843ex;" alt="{\displaystyle \mathrm {I} \pi \,(\mathrm {Dirac} (w+1)-\mathrm {Dirac} (w-1))}"></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Integral_equations">Integral equations</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=17" title="Edit section: Integral equations"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Find functions <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/132e57acb643253e7810ee9702d9581f159a1c61" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.279ex; height:2.509ex;" alt="{\displaystyle f}"></span> that satisfy the <a href="/wiki/Integral_equation" title="Integral equation">integral equation</a> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f(x)-3\int _{-1}^{1}(xy+x^{2}y^{2})f(y)dy=h(x)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>−</mo> <mn>3</mn> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msubsup> <mo stretchy="false">(</mo> <mi>x</mi> <mi>y</mi> <mo>+</mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> <mi>f</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mi>d</mi> <mi>y</mi> <mo>=</mo> <mi>h</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f(x)-3\int _{-1}^{1}(xy+x^{2}y^{2})f(y)dy=h(x)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6a825b812205512cc08ba4b00e72e1e312dc8683" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:38.357ex; height:6.343ex;" alt="{\displaystyle f(x)-3\int _{-1}^{1}(xy+x^{2}y^{2})f(y)dy=h(x)}"></span>.</dd></dl> <div class="mw-highlight mw-highlight-lang-mupad mw-content-ltr" dir="ltr"><pre><span></span><span class="nv">eqn</span><span class="o">:=</span><span class="w"> </span><span class="nf">f</span><span class="p">(</span><span class="nv">x</span><span class="p">)</span><span class="o">-</span><span class="m">3</span><span class="o">*</span><span class="nf">Int</span><span class="p">((</span><span class="nv">x</span><span class="o">*</span><span class="nv">y</span><span class="o">+</span><span class="nv">x</span><span class="o">^</span><span class="m">2</span><span class="o">*</span><span class="nv">y</span><span class="o">^</span><span class="m">2</span><span class="p">)</span><span class="o">*</span><span class="nf">f</span><span class="p">(</span><span class="nv">y</span><span class="p">)</span><span class="o">,</span><span class="w"> </span><span class="nv">y</span><span class="o">=-</span><span class="m">1.</span><span class="o">.</span><span class="m">1</span><span class="p">)</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nf">h</span><span class="p">(</span><span class="nv">x</span><span class="p">)</span><span class="o">:</span> <span class="nf">intsolve</span><span class="p">(</span><span class="nv">eqn</span><span class="o">,</span><span class="nf">f</span><span class="p">(</span><span class="nv">x</span><span class="p">))</span><span class="o">;</span> </pre></div> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f\left(x\right)=\int _{-1}^{1}\!\left(-15\,{x}^{2}{y}^{2}-3\,xy\right)h\left(y\right){dy}+h\left(x\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>=</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msubsup> <mspace width="negativethinmathspace" /> <mrow> <mo>(</mo> <mrow> <mo>−</mo> <mn>15</mn> <mspace width="thinmathspace" /> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi>y</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mn>3</mn> <mspace width="thinmathspace" /> <mi>x</mi> <mi>y</mi> </mrow> <mo>)</mo> </mrow> <mi>h</mi> <mrow> <mo>(</mo> <mi>y</mi> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> <mi>y</mi> </mrow> <mo>+</mo> <mi>h</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f\left(x\right)=\int _{-1}^{1}\!\left(-15\,{x}^{2}{y}^{2}-3\,xy\right)h\left(y\right){dy}+h\left(x\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/454015ca2ccc75ea531dbdacabaa52bc88a33d6d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:45.194ex; height:6.343ex;" alt="{\displaystyle f\left(x\right)=\int _{-1}^{1}\!\left(-15\,{x}^{2}{y}^{2}-3\,xy\right)h\left(y\right){dy}+h\left(x\right)}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Use_of_the_Maple_engine">Use of the Maple engine</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Maple_(software)&action=edit&section=18" title="Edit section: Use of the Maple engine"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The Maple engine is used within several other products from <a href="/wiki/Maplesoft" class="mw-redirect" title="Maplesoft">Maplesoft</a>: </p> <ul><li>MapleNet allows users to create <a href="/wiki/JavaServer_Pages" class="mw-redirect" title="JavaServer Pages">JSP</a> pages and <a href="/wiki/Java_(programming_language)" title="Java (programming language)">Java</a> <a href="/wiki/Applets" class="mw-redirect" title="Applets">Applets</a>. MapleNet 12 and above also allow users to upload and work with <a href="/wiki/Notebook_interface" title="Notebook interface">Maple worksheets</a> containing interactive components.</li> <li><a href="/wiki/MapleSim" title="MapleSim">MapleSim</a>, an engineering simulation tool.<sup id="cite_ref-32" class="reference"><a href="#cite_note-32"><span class="cite-bracket">[</span>32<span class="cite-bracket">]</span></a></sup></li> <li>Maple Quantum Chemistry Package from RDMChem computes and visualizes the electronic energies and properties of molecules.<sup id="cite_ref-33" class="reference"><a href="#cite_note-33"><span class="cite-bracket">[</span>33<span class="cite-bracket">]</span></a></sup></li></ul> <p>Listed below are third-party commercial products that no longer use the Maple engine: </p> <ul><li>Versions of <a href="/wiki/Mathcad" title="Mathcad">Mathcad</a> released between 1994 and 2006 included a Maple-derived algebra engine (MKM, aka <a href="/wiki/Mathsoft" title="Mathsoft">Mathsoft</a> Kernel Maple), though subsequent versions use <a href="/wiki/MuPAD" title="MuPAD">MuPAD</a>.</li> <li>Symbolic Math Toolbox in <a href="/wiki/MATLAB" title="MATLAB">MATLAB</a> contained a portion of the Maple 10 engine, but now uses <a href="/wiki/MuPAD" title="MuPAD">MuPAD</a> (starting with MATLAB R2007b+ release).<sup id="cite_ref-34" class="reference"><a href="#cite_note-34"><span class="cite-bracket">[</span>34<span class="cite-bracket">]</span></a></sup></li> <li>Older versions of the mathematical editor <a href="/wiki/Scientific_Workplace" class="mw-redirect" title="Scientific Workplace">Scientific Workplace</a> included Maple as a computational engine, though current versions include <a href="/wiki/MuPAD" title="MuPAD">MuPAD</a>.</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=Maple_(software)&action=edit&section=19" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1184024115"><div class="div-col" style="column-width: 30em;"> <ul><li><a href="/wiki/Comparison_of_computer_algebra_systems" class="mw-redirect" title="Comparison of computer algebra systems">Comparison of computer algebra systems</a></li> <li><a href="/wiki/Comparison_of_numerical-analysis_software" title="Comparison of numerical-analysis software">Comparison of numerical-analysis software</a></li> <li><a href="/wiki/Comparison_of_programming_languages" title="Comparison of programming languages">Comparison of programming languages</a></li> <li><a href="/wiki/Comparison_of_statistical_packages" title="Comparison of statistical packages">Comparison of statistical packages</a></li> <li><a href="/wiki/List_of_computer_algebra_systems" title="List of computer algebra systems">List of computer algebra systems</a></li> <li><a href="/wiki/List_of_computer_simulation_software" title="List of computer simulation software">List of computer simulation software</a></li> <li><a href="/wiki/List_of_graphing_software" class="mw-redirect" title="List of graphing software">List of graphing software</a></li> <li><a href="/wiki/List_of_numerical-analysis_software" title="List of numerical-analysis software">List of numerical-analysis software</a></li> <li><a href="/wiki/Mathematical_software" title="Mathematical software">Mathematical software</a></li> <li><a href="/wiki/SageMath" title="SageMath">SageMath (an open source algebra program)</a></li></ul> </div> <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=Maple_(software)&action=edit&section=20" 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 reflist-columns references-column-width" style="column-width: 30em;"> <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"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.maplesoft.com/company/news/releases/2024/2024-03-06-Powerful-AI-Technology-Advances-Maplesoft-Mission-to-Unleash-the-Power-of-Math.aspx">"Maplesoft Media Releases"</a>. <i>www.maplesoft.com</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2024-05-12</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.maplesoft.com&rft.atitle=Maplesoft+Media+Releases&rft_id=https%3A%2F%2Fwww.maplesoft.com%2Fcompany%2Fnews%2Freleases%2F2024%2F2024-03-06-Powerful-AI-Technology-Advances-Maplesoft-Mission-to-Unleash-the-Power-of-Math.aspx&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMaple+%28software%29" class="Z3988"></span></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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.maplesoft.com/products/languages/">"International Language Support in Maple"</a>. <a href="/wiki/Maplesoft" class="mw-redirect" title="Maplesoft">Maplesoft</a><span class="reference-accessdate">. Retrieved <span class="nowrap">2 June</span> 2016</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=International+Language+Support+in+Maple&rft.pub=Maplesoft&rft_id=https%3A%2F%2Fwww.maplesoft.com%2Fproducts%2Flanguages%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMaple+%28software%29" class="Z3988"></span></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"><a rel="nofollow" class="external text" href="http://www.bitwisemag.com/copy/reviews/software/maths/maple10_mathematica52.html">Power of two</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20100706181735/http://www.bitwisemag.com/copy/reviews/software/maths/maple10_mathematica52.html">Archived</a> 2010-07-06 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> Bitwise Magazine</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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.maplesoft.com/standards/MathML/info.html">"Welcome to the Maplesoft MathML Home Page"</a>. <i>www.maplesoft.com</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.maplesoft.com&rft.atitle=Welcome+to+the+Maplesoft+MathML+Home+Page&rft_id=http%3A%2F%2Fwww.maplesoft.com%2Fstandards%2FMathML%2Finfo.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMaple+%28software%29" class="Z3988"></span></span> </li> <li id="cite_note-MacCallum2018-5"><span class="mw-cite-backlink">^ <a href="#cite_ref-MacCallum2018_5-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-MacCallum2018_5-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMacCallum2018" class="citation journal cs1">MacCallum, Malcolm A. H. (2018). <a rel="nofollow" class="external text" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105178">"Computer algebra in gravity research"</a>. <i>Living Reviews in Relativity</i>. <b>21</b> (1): 6. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2018LRR....21....6M">2018LRR....21....6M</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1007%2Fs41114-018-0015-6">10.1007/s41114-018-0015-6</a></span>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/2367-3613">2367-3613</a>. <a href="/wiki/PMC_(identifier)" class="mw-redirect" title="PMC (identifier)">PMC</a> <span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105178">6105178</a></span>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a> <a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/30174551">30174551</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Living+Reviews+in+Relativity&rft.atitle=Computer+algebra+in+gravity+research&rft.volume=21&rft.issue=1&rft.pages=6&rft.date=2018&rft_id=https%3A%2F%2Fwww.ncbi.nlm.nih.gov%2Fpmc%2Farticles%2FPMC6105178%23id-name%3DPMC&rft_id=info%3Abibcode%2F2018LRR....21....6M&rft_id=info%3Apmid%2F30174551&rft_id=info%3Adoi%2F10.1007%2Fs41114-018-0015-6&rft.issn=2367-3613&rft.aulast=MacCallum&rft.aufirst=Malcolm+A.+H.&rft_id=https%3A%2F%2Fwww.ncbi.nlm.nih.gov%2Fpmc%2Farticles%2FPMC6105178&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMaple+%28software%29" class="Z3988"></span></span> </li> <li id="cite_note-Walz1998-6"><span class="mw-cite-backlink">^ <a href="#cite_ref-Walz1998_6-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Walz1998_6-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://zakuski.math.utsa.edu/~gokhman/ftp/mirrors/maple/mplhist.htm">"History of Maple"</a>. 1998-12-15<span class="reference-accessdate">. Retrieved <span class="nowrap">2020-04-06</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=History+of+Maple&rft.date=1998-12-15&rft_id=http%3A%2F%2Fzakuski.math.utsa.edu%2F~gokhman%2Fftp%2Fmirrors%2Fmaple%2Fmplhist.htm&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMaple+%28software%29" class="Z3988"></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text">Two such university labs are the <a rel="nofollow" class="external text" href="https://www.scg.uwaterloo.ca/">Symbolic Computation Group</a> at the <a href="/wiki/University_of_Waterloo" title="University of Waterloo">University of Waterloo</a> and the <a rel="nofollow" class="external text" href="http://www.orcca.on.ca/">Ontario Research Centre for Computer Algebra</a> at the <a href="/wiki/University_of_Western_Ontario" title="University of Western Ontario">University of Western Ontario</a></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.maplesoft.com/support/help/Maple/view.aspx?path=updates/v52">Maple V Release 2 Notes</a> Maplesoft</span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://web.mit.edu/maple/www/plibrary/mtn/mtn-si94.html">"MTN Special Issue 1994"</a>. <i>web.mit.edu</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=web.mit.edu&rft.atitle=MTN+Special+Issue+1994&rft_id=http%3A%2F%2Fweb.mit.edu%2Fmaple%2Fwww%2Fplibrary%2Fmtn%2Fmtn-si94.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMaple+%28software%29" class="Z3988"></span></span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.macworld.com/article/1870/2001/02/21reviewsmaple.html">Maple 6.0</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20080618032934/http://www.macworld.com/article/1870/2001/02/21reviewsmaple.html">Archived</a> 2008-06-18 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> Macworld, Feb 2001</span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.scientific-computing.com/scwoctnov05review.html">Capturing knowledge with pure maths</a>, Scientific Computing World.</span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.maplesoft.com/documentation_center/maple11/Install.html">Maple 11 Installation Guide</a> Maplesoft</span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-13">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://history.siam.org/oralhistories/gonnet.htm">Interview with Gaston Gonnet, co-creator of Maple</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20071229044836/http://history.siam.org/oralhistories/gonnet.htm">Archived</a> 2007-12-29 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, SIAM History of Numerical Analysis and Computing, 16 March 2005</span> </li> <li id="cite_note-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-14">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.maplesoft.com/company/news/releases/2009/2009-07-30-cybernet-systems-co-ltd-to-acquire-maple.aspx">"Maplesoft Media Releases"</a>. <i>www.maplesoft.com</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.maplesoft.com&rft.atitle=Maplesoft+Media+Releases&rft_id=https%3A%2F%2Fwww.maplesoft.com%2Fcompany%2Fnews%2Freleases%2F2009%2F2009-07-30-cybernet-systems-co-ltd-to-acquire-maple.aspx&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMaple+%28software%29" class="Z3988"></span></span> </li> <li id="cite_note-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-15">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.mapleprimes.com/posts/37445-Maple-13-And-MapleSim-2-Now-Available">"MaplePrimes Blog - Maple 13 and MapleSim 2 now available"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">28 Apr</span> 2009</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=MaplePrimes+Blog+-+Maple+13+and+MapleSim+2+now+available&rft_id=https%3A%2F%2Fwww.mapleprimes.com%2Fposts%2F37445-Maple-13-And-MapleSim-2-Now-Available&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMaple+%28software%29" class="Z3988"></span></span> </li> <li id="cite_note-16"><span class="mw-cite-backlink"><b><a href="#cite_ref-16">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.mapleprimes.com/posts/80867-Announcing-Maple-14-And-MapleSim-4-">"MaplePrimes Blog - Announcing Maple 14 and MapleSim 4"</a><span class="reference-accessdate">. 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Retrieved <span class="nowrap">2 Mar</span> 2024</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=MaplePrimes+Blog+-+Maple+2023+is+here%21&rft_id=https%3A%2F%2Fwww.mapleprimes.com%2Fmaplesoftblog%2F220225-Maple-2023-Is-Here&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMaple+%28software%29" class="Z3988"></span></span> </li> <li id="cite_note-30"><span class="mw-cite-backlink"><b><a href="#cite_ref-30">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.maplesoft.com/products/Maple/features/">"What is Maple: Product Features - Math & Engineering Software - Maplesoft"</a>. <i>www.maplesoft.com</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.maplesoft.com&rft.atitle=What+is+Maple%3A+Product+Features+-+Math+%26+Engineering+Software+-+Maplesoft&rft_id=https%3A%2F%2Fwww.maplesoft.com%2Fproducts%2FMaple%2Ffeatures%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMaple+%28software%29" class="Z3988"></span></span> </li> <li id="cite_note-31"><span class="mw-cite-backlink"><b><a href="#cite_ref-31">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.maplesoft.com/applications/view.aspx?SID=33073&view=html">Using the New Fly-through Feature in Maple 13</a> Maplesoft</span> </li> <li id="cite_note-32"><span class="mw-cite-backlink"><b><a href="#cite_ref-32">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMahmudTown2016" class="citation journal cs1">Mahmud, Khizir; Town, Graham E. (June 2016). "A review of computer tools for modeling electric vehicle energy requirements and their impact on power distribution networks". <i>Applied Energy</i>. <b>172</b>: 337–359. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2016ApEn..172..337M">2016ApEn..172..337M</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.apenergy.2016.03.100">10.1016/j.apenergy.2016.03.100</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Applied+Energy&rft.atitle=A+review+of+computer+tools+for+modeling+electric+vehicle+energy+requirements+and+their+impact+on+power+distribution+networks&rft.volume=172&rft.pages=337-359&rft.date=2016-06&rft_id=info%3Adoi%2F10.1016%2Fj.apenergy.2016.03.100&rft_id=info%3Abibcode%2F2016ApEn..172..337M&rft.aulast=Mahmud&rft.aufirst=Khizir&rft.au=Town%2C+Graham+E.&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMaple+%28software%29" class="Z3988"></span></span> </li> <li id="cite_note-33"><span class="mw-cite-backlink"><b><a href="#cite_ref-33">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.mapleprimes.com/maplesoftblog/210517-Introducing-The-Maple-Quantum-Chemistry-Toolbox">"MaplePrimes Blog - Introducing the Maple Quantum Chemistry Toolbox"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">6 May</span> 2019</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=MaplePrimes+Blog+-+Introducing+the+Maple+Quantum+Chemistry+Toolbox&rft_id=https%3A%2F%2Fwww.mapleprimes.com%2Fmaplesoftblog%2F210517-Introducing-The-Maple-Quantum-Chemistry-Toolbox&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMaple+%28software%29" class="Z3988"></span></span> </li> <li id="cite_note-34"><span class="mw-cite-backlink"><b><a href="#cite_ref-34">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.mathworks.com/help/symbolic/release-notes.html#brqy3xk">"Release Notes for Symbolic Math Toolbox"</a>. MathWorks<span class="reference-accessdate">. Retrieved <span class="nowrap">10 July</span> 2014</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Release+Notes+for+Symbolic+Math+Toolbox&rft.pub=MathWorks&rft_id=http%3A%2F%2Fwww.mathworks.com%2Fhelp%2Fsymbolic%2Frelease-notes.html%23brqy3xk&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMaple+%28software%29" class="Z3988"></span></span> </li> </ol></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=Maple_(software)&action=edit&section=21" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1235681985">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid 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href="/wiki/Axiom_(computer_algebra_system)" title="Axiom (computer algebra system)">Axiom</a></li> <li><a href="/wiki/Cadabra_(computer_program)" title="Cadabra (computer program)">Cadabra</a></li> <li><a href="/wiki/CoCoA" title="CoCoA">CoCoA</a></li> <li><a href="/wiki/Fermat_(computer_algebra_system)" title="Fermat (computer algebra system)">Fermat</a></li> <li><a href="/wiki/FriCAS" title="FriCAS">FriCAS</a></li> <li><a href="/wiki/FORM_(symbolic_manipulation_system)" title="FORM (symbolic manipulation system)">FORM</a></li> <li><a href="/wiki/GAP_(computer_algebra_system)" title="GAP (computer algebra system)">GAP</a></li> <li><a href="/wiki/GiNaC" title="GiNaC">GiNaC</a></li> <li><a href="/wiki/Macaulay2" title="Macaulay2">Macaulay2</a></li> <li><a href="/wiki/Maxima_(software)" title="Maxima (software)">Maxima</a></li> <li><a href="/wiki/Normaliz" title="Normaliz">Normaliz</a></li> <li><a href="/wiki/PARI/GP" title="PARI/GP">PARI/GP</a></li> <li><a href="/wiki/Reduce_(computer_algebra_system)" title="Reduce (computer algebra system)">Reduce</a></li> <li><a href="/wiki/SageMath" title="SageMath">SageMath</a></li> <li><a href="/wiki/Singular_(software)" title="Singular (software)">Singular</a></li> <li><a href="/wiki/SymPy" title="SymPy">SymPy</a></li> <li><a href="/wiki/Xcas" title="Xcas">Xcas/Giac</a></li> <li><a href="/wiki/Yacas" title="Yacas">Yacas</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Proprietary_software" title="Proprietary software">Proprietary</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Casio_ClassPad_300" title="Casio ClassPad 300">ClassPad Manager</a></li> <li><a href="/wiki/KANT_(software)" title="KANT (software)">KANT</a></li> <li><a href="/wiki/Magma_(computer_algebra_system)" title="Magma (computer algebra system)">Magma</a></li> <li><a class="mw-selflink selflink">Maple</a></li> <li><a href="/wiki/Mathcad" title="Mathcad">Mathcad</a></li> <li><a href="/wiki/Wolfram_Mathematica" title="Wolfram Mathematica">Mathematica</a></li> <li><a href="/wiki/MuPAD" title="MuPAD">muPAD</a> (<a href="/wiki/MATLAB" title="MATLAB">MATLAB</a> symbolic math toolbox)</li> <li><a href="/wiki/SMath_Studio" title="SMath Studio">SMath Studio</a></li> <li><a href="/wiki/TI_InterActive!" title="TI InterActive!">TI InterActive!</a></li> <li><a href="/wiki/Engineering_Equation_Solver" title="Engineering Equation Solver">Engineering Equation Solver</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Discontinued</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/Cambridge_Algebra_System" title="Cambridge Algebra System">CAMAL</a></li> <li><a href="/wiki/Derive_(computer_algebra_system)" title="Derive (computer algebra system)">Derive</a></li> <li><a href="/wiki/Erable" title="Erable">Erable</a></li> <li><a href="/wiki/LiveMath" title="LiveMath">LiveMath</a></li> <li><a href="/wiki/Macsyma" title="Macsyma">Macsyma</a></li> <li><a href="/wiki/Mathomatic" title="Mathomatic">Mathomatic</a></li> <li><a href="/wiki/MuMATH" title="MuMATH">muMATH</a></li> <li><a href="/wiki/ALTRAN" title="ALTRAN">ALTRAN</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span><b><a href="/wiki/Category:Computer_algebra_systems" title="Category:Computer algebra systems">Category</a></b></li> <li><span class="noviewer" typeof="mw:File"><span title="List-Class article"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/d/db/Symbol_list_class.svg/16px-Symbol_list_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/d/db/Symbol_list_class.svg/23px-Symbol_list_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/d/db/Symbol_list_class.svg/31px-Symbol_list_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span><b><a href="/wiki/List_of_computer_algebra_systems" title="List of computer algebra systems">List</a></b></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Numerical-analysis_software" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Numerical_analysis_software" title="Template:Numerical analysis software"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Numerical_analysis_software" title="Template talk:Numerical analysis software"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Numerical_analysis_software" title="Special:EditPage/Template:Numerical analysis software"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Numerical-analysis_software" style="font-size:114%;margin:0 4em"><a href="/wiki/List_of_numerical-analysis_software" title="List of numerical-analysis software">Numerical-analysis software</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Free</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Advanced_Simulation_Library" title="Advanced Simulation Library">Advanced Simulation Library</a></li> <li><a href="/wiki/ADMB" title="ADMB">ADMB</a></li> <li><a href="/wiki/Chapel_(programming_language)" title="Chapel (programming language)">Chapel</a></li> <li><a href="/wiki/Euler_Mathematical_Toolbox" title="Euler Mathematical Toolbox">Euler Mathematical Toolbox</a></li> <li><a href="/wiki/FreeFem%2B%2B" title="FreeFem++">FreeFem++</a></li> <li><a href="/wiki/FreeMat" title="FreeMat">FreeMat</a></li> <li><a href="/wiki/Genius_(mathematics_software)" title="Genius (mathematics software)">Genius</a></li> <li><a href="/wiki/Gmsh" title="Gmsh">Gmsh</a></li> <li><a href="/wiki/GNU_Octave" title="GNU Octave">GNU Octave</a></li> <li><a href="/wiki/Gretl" title="Gretl">gretl</a></li> <li><a href="/wiki/Julia_(programming_language)" title="Julia (programming language)">Julia</a></li> <li><a href="/wiki/Project_Jupyter" title="Project Jupyter">Jupyter</a> (<i>Ju</i>lia, <i>Pyt</i>hon, <i>R</i>; <a href="/wiki/IPython" title="IPython">IPython</a>)</li> <li><a href="/wiki/MFEM" title="MFEM">MFEM</a></li> <li><a href="/wiki/OpenFOAM" title="OpenFOAM">OpenFOAM</a></li> <li><a href="/wiki/Python_(programming_language)" title="Python (programming language)">Python</a></li> <li><a href="/wiki/R_(programming_language)" title="R (programming language)">R</a></li> <li><a href="/wiki/SageMath" title="SageMath">SageMath</a></li> <li><a href="/wiki/Salome_(software)" title="Salome (software)">Salome</a></li> <li><a href="/wiki/ScicosLab" title="ScicosLab">ScicosLab</a></li> <li><a href="/wiki/Scilab" title="Scilab">Scilab</a></li> <li><a href="/wiki/X10_(programming_language)" title="X10 (programming language)">X10</a></li> <li><a href="/wiki/Weka_(software)" title="Weka (software)">Weka</a></li></ul> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th id="Discontinued" scope="row" class="navbox-group" style="width:1%">Discontinued</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Fortress_(programming_language)" title="Fortress (programming language)">Fortress</a></li></ul> </div></td></tr></tbody></table><div> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Proprietary</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/DADiSP" title="DADiSP">DADiSP</a></li> <li><a href="/wiki/FEATool_Multiphysics" title="FEATool Multiphysics">FEATool Multiphysics</a></li> <li><a href="/wiki/GAUSS_(software)" title="GAUSS (software)">GAUSS</a></li> <li><a href="/wiki/LabVIEW" title="LabVIEW">LabVIEW</a></li> <li><a class="mw-selflink selflink">Maple</a></li> <li><a href="/wiki/Mathcad" title="Mathcad">Mathcad</a></li> <li><a href="/wiki/Wolfram_Mathematica" title="Wolfram Mathematica">Mathematica</a></li> <li><a href="/wiki/MATLAB" title="MATLAB">MATLAB</a></li> <li><a href="/wiki/Speakeasy_(computational_environment)" title="Speakeasy (computational environment)">Speakeasy</a></li> <li><a href="/wiki/VisSim" title="VisSim">VisSim</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow hlist" colspan="2"><div> <ul><li><b><a href="/wiki/Comparison_of_numerical-analysis_software" title="Comparison of numerical-analysis software">Comparison</a></b></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Statistical_software" style="padding:3px"><table class="nowraplinks hlist mw-collapsible mw-collapsed navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Statistical_software" title="Template:Statistical software"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Statistical_software" title="Template talk:Statistical software"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Statistical_software" title="Special:EditPage/Template:Statistical software"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Statistical_software" style="font-size:114%;margin:0 4em"><a href="/wiki/List_of_statistical_software" title="List of statistical software">Statistical software</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Public-domain_software" title="Public-domain software">Public domain</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/Dataplot" title="Dataplot">Dataplot</a></li> <li><a href="/wiki/Epi_Info" title="Epi Info">Epi Info</a></li> <li><a href="/wiki/CSPro" title="CSPro">CSPro</a></li> <li><a href="/wiki/X-12-ARIMA" class="mw-redirect" title="X-12-ARIMA">X-12-ARIMA</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Open-source_software" title="Open-source software">Open-source</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/ADMB" title="ADMB">ADMB</a></li> <li><a href="/wiki/DAP_(software)" title="DAP (software)">DAP</a></li> <li><a href="/wiki/Gretl" title="Gretl">gretl</a></li> <li><a href="/wiki/Jamovi" title="Jamovi">jamovi</a></li> <li><a href="/wiki/JASP" title="JASP">JASP</a></li> <li><a href="/wiki/Just_another_Gibbs_sampler" title="Just another Gibbs sampler">JAGS</a></li> <li><a href="/wiki/JMulTi" title="JMulTi">JMulTi</a></li> <li><a href="/wiki/Julia_(programming_language)" title="Julia (programming language)">Julia</a></li> <li><a href="/wiki/Project_Jupyter" title="Project Jupyter">Jupyter</a> (<i>Ju</i>lia, <i>Py</i>thon, <i>R</i>)</li> <li><a href="/wiki/GNU_Octave" title="GNU Octave">GNU Octave</a></li> <li><a href="/wiki/OpenBUGS" title="OpenBUGS">OpenBUGS</a></li> <li><a href="/wiki/Orange_(software)" title="Orange (software)">Orange</a></li> <li><a href="/wiki/PSPP" title="PSPP">PSPP</a></li> <li><a href="/wiki/Python_(programming_language)" title="Python (programming language)">Python</a> (statsmodels, <a href="/wiki/PyMC3" class="mw-redirect" title="PyMC3">PyMC3</a>, <a href="/wiki/IPython" title="IPython">IPython</a>, <a href="/wiki/IDLE" title="IDLE">IDLE</a>)</li> <li><a href="/wiki/R_(programming_language)" title="R (programming language)">R</a> (<a href="/wiki/RStudio" title="RStudio">RStudio</a>)</li> <li><a href="/wiki/SageMath" title="SageMath">SageMath</a></li> <li><a href="/wiki/SimFiT" title="SimFiT">SimFiT</a></li> <li><a href="/wiki/SOFA_Statistics" title="SOFA Statistics">SOFA Statistics</a></li> <li><a href="/wiki/Stan_(software)" title="Stan (software)">Stan</a></li> <li><a href="/wiki/XLispStat" title="XLispStat">XLispStat</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Freeware" title="Freeware">Freeware</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/BV4.1_(software)" title="BV4.1 (software)">BV4.1</a></li> <li><a href="/wiki/CumFreq" title="CumFreq">CumFreq</a></li> <li><a href="/wiki/SegReg" title="SegReg">SegReg</a></li> <li><a href="/wiki/XploRe" title="XploRe">XploRe</a></li> <li><a href="/wiki/WinBUGS" title="WinBUGS">WinBUGS</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Commercial_software" title="Commercial software">Commercial</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Cross-platform_software" title="Cross-platform software">Cross-platform</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Data_Desk" title="Data Desk">Data Desk</a></li> <li><a href="/wiki/GAUSS_(software)" title="GAUSS (software)">GAUSS</a></li> <li><a href="/wiki/GraphPad_InStat" class="mw-redirect" title="GraphPad InStat">GraphPad InStat</a></li> <li><a href="/wiki/GraphPad_Prism" class="mw-redirect" title="GraphPad Prism">GraphPad Prism</a></li> <li>IBM <a href="/wiki/SPSS" title="SPSS">SPSS</a> Statistics</li> <li>IBM <a href="/wiki/SPSS_Modeler" title="SPSS Modeler">SPSS Modeler</a></li> <li><a href="/wiki/JMP_(statistical_software)" title="JMP (statistical software)">JMP</a></li> <li><a class="mw-selflink selflink">Maple</a></li> <li><a href="/wiki/Mathcad" title="Mathcad">Mathcad</a></li> <li><a href="/wiki/Wolfram_Mathematica" title="Wolfram Mathematica">Mathematica</a></li> <li><a href="/wiki/MATLAB" title="MATLAB">MATLAB</a></li> <li><a href="/wiki/OxMetrics" title="OxMetrics">OxMetrics</a></li> <li><a href="/wiki/RATS_(software)" title="RATS (software)">RATS</a></li> <li><a href="/wiki/Revolution_Analytics" title="Revolution Analytics">Revolution Analytics</a></li> <li><a href="/wiki/SAS_(software)" title="SAS (software)">SAS</a></li> <li><a href="/wiki/SmartPLS" title="SmartPLS">SmartPLS</a></li> <li><a href="/wiki/Stata" title="Stata">Stata</a></li> <li><a href="/wiki/StatView" title="StatView">StatView</a></li> <li><a href="/wiki/SUDAAN" title="SUDAAN">SUDAAN</a></li> <li><a href="/wiki/S-PLUS" title="S-PLUS">S-PLUS</a></li> <li><a href="/wiki/TSP_(econometrics_software)" title="TSP (econometrics software)">TSP</a></li> <li><a href="/wiki/World_Programming_System" title="World Programming System">World Programming System</a> (WPS)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Microsoft_Windows" title="Microsoft Windows">Windows</a> only</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/BMDP" title="BMDP">BMDP</a></li> <li><a href="/wiki/EViews" title="EViews">EViews</a></li> <li><a href="/wiki/Genstat" title="Genstat">GenStat</a></li> <li><a href="/wiki/LIMDEP" title="LIMDEP">LIMDEP</a></li> <li><a href="/wiki/LISREL" title="LISREL">LISREL</a></li> <li><a href="/wiki/MedCalc" title="MedCalc">MedCalc</a></li> <li><a href="/wiki/Microfit" title="Microfit">Microfit</a></li> <li><a href="/wiki/Minitab" title="Minitab">Minitab</a></li> <li><a href="/wiki/MLwiN" title="MLwiN">MLwiN</a></li> <li><a href="/wiki/NCSS_(statistical_software)" title="NCSS (statistical software)">NCSS</a></li> <li><a href="/wiki/SHAZAM_(software)" class="mw-redirect" title="SHAZAM (software)">SHAZAM</a></li> <li><a href="/wiki/SigmaStat" title="SigmaStat">SigmaStat</a></li> <li><a href="/wiki/Statistica" title="Statistica">Statistica</a></li> <li><a href="/wiki/StatsDirect" title="StatsDirect">StatsDirect</a></li> <li><a href="/wiki/StatXact" title="StatXact">StatXact</a></li> <li><a href="/wiki/SYSTAT_(statistics_package)" title="SYSTAT (statistics package)">SYSTAT</a></li> <li><a href="/wiki/The_Unscrambler" title="The Unscrambler">The Unscrambler</a></li> <li><a href="/w/index.php?title=Unistat&action=edit&redlink=1" class="new" title="Unistat (page does not exist)">UNISTAT</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Microsoft_Excel" title="Microsoft Excel">Excel</a> add-ons</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Analyse-it" title="Analyse-it">Analyse-it</a></li> <li><a href="/w/index.php?title=Unistat&action=edit&redlink=1" class="new" title="Unistat (page does not exist)">UNISTAT</a> for Excel</li> <li><a href="/wiki/XLfit" title="XLfit">XLfit</a></li> <li><a href="/wiki/RExcel" title="RExcel">RExcel</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><b><a href="/wiki/Category:Statistical_software" title="Category:Statistical software">Category</a></b></li> <li><b><a href="/wiki/Comparison_of_statistical_packages" title="Comparison of statistical packages">Comparison</a></b></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Deep_learning_software" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Deep_learning_software" title="Template:Deep learning software"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Deep_learning_software" title="Template talk:Deep learning software"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Deep_learning_software" title="Special:EditPage/Template:Deep learning software"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Deep_learning_software" style="font-size:114%;margin:0 4em"><a href="/wiki/Comparison_of_deep_learning_software" title="Comparison of deep learning software">Deep learning software</a></div></th></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><a href="/wiki/Comparison_of_deep_learning_software" title="Comparison of deep learning software">Comparison</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Open-source_software" title="Open-source software">Open source</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/Apache_MXNet" title="Apache MXNet">Apache MXNet</a></li> <li><a href="/wiki/Apache_SINGA" title="Apache SINGA">Apache SINGA</a></li> <li><a href="/wiki/Caffe_(software)" title="Caffe (software)">Caffe</a></li> <li><a href="/wiki/Deeplearning4j" title="Deeplearning4j">Deeplearning4j</a></li> <li><a href="/wiki/DeepSpeed" title="DeepSpeed">DeepSpeed</a></li> <li><a href="/wiki/Dlib" title="Dlib">Dlib</a></li> <li><a href="/wiki/Keras" title="Keras">Keras</a></li> <li><a href="/wiki/Microsoft_Cognitive_Toolkit" title="Microsoft Cognitive Toolkit">Microsoft Cognitive Toolkit</a></li> <li><a href="/wiki/ML.NET" title="ML.NET">ML.NET</a></li> <li><a href="/wiki/OpenNN" title="OpenNN">OpenNN</a></li> <li><a href="/wiki/PyTorch" title="PyTorch">PyTorch</a></li> <li><a href="/wiki/TensorFlow" title="TensorFlow">TensorFlow</a></li> <li><a href="/wiki/Theano_(software)" title="Theano (software)">Theano</a></li> <li><a href="/wiki/Torch_(machine_learning)" title="Torch (machine learning)">Torch</a></li> <li><a href="/wiki/Open_Neural_Network_Exchange" title="Open Neural Network Exchange">ONNX</a></li> <li><a href="/wiki/OpenVINO" title="OpenVINO">OpenVINO</a></li> <li><a href="/wiki/MindSpore" title="MindSpore">MindSpore</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Proprietary_software" title="Proprietary software">Proprietary</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Apple_Inc." title="Apple Inc.">Apple</a> <a href="/wiki/Core_ML" class="mw-redirect" title="Core ML">Core ML</a></li> <li><a href="/wiki/Watson_(computer)" class="mw-redirect" title="Watson (computer)">IBM Watson</a></li> <li><a href="/wiki/Neural_Designer" title="Neural Designer">Neural Designer</a></li> <li><a href="/wiki/Wolfram_Mathematica" title="Wolfram Mathematica">Wolfram Mathematica</a></li> <li><a href="/wiki/MATLAB" title="MATLAB">MATLAB</a> Deep Learning Toolbox</li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <a href="/wiki/Category:Deep_learning" title="Category:Deep learning">Category</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Fractal_software" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Fractal_software" title="Template:Fractal software"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Fractal_software" title="Template talk:Fractal software"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Fractal_software" title="Special:EditPage/Template:Fractal software"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Fractal_software" style="font-size:114%;margin:0 4em"><a href="/wiki/Fractal-generating_software" title="Fractal-generating software">Fractal software</a></div></th></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><a href="/wiki/Digital_art" title="Digital art">Digital art</a></li> <li><a href="/wiki/Graphics_software" title="Graphics software">Graphics software</a></li> <li><a href="/wiki/Fractal_art" title="Fractal art">Fractal art</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Open-source</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/Apophysis_(software)" title="Apophysis (software)">Apophysis</a></li> <li><a href="/wiki/Blender_(software)" title="Blender (software)">Blender</a></li> <li><a href="/wiki/Fyre_(software)" title="Fyre (software)">Fyre</a></li> <li><a href="/wiki/Kalles_Fraktaler" title="Kalles Fraktaler">Kalles Fraktaler</a></li> <li><a href="/wiki/MilkDrop" title="MilkDrop">MilkDrop</a></li> <li><a href="/wiki/Sterling_(program)" title="Sterling (program)">Sterling</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">GNU</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Electric_Sheep" title="Electric Sheep">Electric Sheep</a></li> <li><a href="/wiki/GIMP" title="GIMP">GIMP</a></li> <li><a href="/wiki/OpenPlaG" title="OpenPlaG">openPlaG</a></li> <li><a href="/wiki/XaoS" title="XaoS">XaoS</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Freeware</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/Fractint" title="Fractint">Fractint</a></li> <li><a href="/w/index.php?title=IFStile&action=edit&redlink=1" class="new" title="IFStile (page does not exist)">IFStile</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Retail</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;">Cross-platform</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bryce_(software)" title="Bryce (software)">Bryce</a></li> <li><a href="/wiki/Chaotica_(software)" title="Chaotica (software)">Chaotica</a></li> <li><a class="mw-selflink selflink">Maple</a></li> <li><a href="/wiki/Ultra_Fractal" title="Ultra Fractal">Ultra Fractal</a></li> <li><a href="/wiki/Wolfram_Mathematica" title="Wolfram Mathematica">Wolfram Mathematica</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;">Windows only</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/VisSim" title="VisSim">VisSim</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Scenery_generator" title="Scenery generator">Scenery generator</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/MojoWorld_Generator" title="MojoWorld Generator">MojoWorld Generator</a></li> <li><a href="/wiki/Picogen" title="Picogen">Picogen</a></li> <li><a href="/wiki/Terragen" title="Terragen">Terragen</a></li> <li><a href="/wiki/VistaPro" title="VistaPro">VistaPro</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Found objects</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/Burning_Ship_fractal" title="Burning Ship fractal">Burning Ship fractal</a></li> <li><a href="/wiki/Jerusalem_cube" class="mw-redirect" title="Jerusalem cube">Jerusalem cube</a></li> <li><a href="/wiki/Julia_set" title="Julia set">Julia set</a></li> <li><a href="/wiki/Mandelbox" title="Mandelbox">Mandelbox</a></li> <li><a href="/wiki/Mandelbrot_set" title="Mandelbrot set">Mandelbrot set</a></li> <li><a href="/wiki/Mandelbulb" title="Mandelbulb">Mandelbulb</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Computer-generated_imagery" title="Computer-generated imagery">Computer-generated imagery</a></li> <li><a href="/wiki/Fractal_compression" title="Fractal compression">Fractal compression</a></li> <li><a href="/wiki/Fractal_landscape" title="Fractal landscape">Fractal landscape</a></li> <li><a href="/wiki/Fractal_flame" title="Fractal flame">Fractal flame</a></li> <li><a href="/wiki/Iterated_function_system" title="Iterated function 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