CINXE.COM
Patents - MATLAB & Simulink
<!doctype html> <html lang="en"> <head> <meta charset="utf-8"/> <meta name="viewport" content="width=device-width, initial-scale=1.0"/> <link rel="icon" href="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/images/favicon.20241106114913842.ico" type="image/x-icon"/> <link rel="canonical" href="https://www.mathworks.com/company/aboutus/policies_statements/patents.html"/> <meta http-equiv="X-UA-Compatible" content="IE=edge"/> <meta property="og:url" content="https://www.mathworks.com/company/aboutus/policies_statements/patents.html"/> <meta property="og:title" content="Patents"/> <meta property="og:type" content="website"/> <script src="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/webvitals.min.20241106114913842.js"></script> <link rel="stylesheet" href="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/bootstrap5.min.20241106114913842.css" type="text/css"> <link rel="stylesheet" href="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/bs5.min.20241106114913842.css" type="text/css"> <link href="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/fonts/roboto/roboto-latin-italic-400.20241106114913842.woff2" rel="preload" as="font" type="font/woff2" crossorigin/> <link href="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/fonts/roboto/roboto-latin-italic-500.20241106114913842.woff2" rel="preload" as="font" type="font/woff2" crossorigin/> <link href="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/fonts/roboto/roboto-latin-italic-700.20241106114913842.woff2" rel="preload" as="font" type="font/woff2" crossorigin/> <link href="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/fonts/roboto/roboto-latin-normal-400.20241106114913842.woff2" rel="preload" as="font" type="font/woff2" crossorigin/> <link href="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/fonts/roboto/roboto-latin-normal-500.20241106114913842.woff2" rel="preload" as="font" type="font/woff2" crossorigin/> <link href="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/fonts/roboto/roboto-latin-normal-700.20241106114913842.woff2" rel="preload" as="font" type="font/woff2" crossorigin/> <link href="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/fonts/mathworks.20241106114913842.woff" rel="preload" as="font" type="font/woff" crossorigin/> <script id="analyticsDigitalData"> digitalData = { "pageInstanceID" : "https://www.mathworks.com/company/aboutus/policies_statements/patents.html", "page" : { "pageInfo" : { "pageID" : "https://www.mathworks.com/company/aboutus/policies_statements/patents.html", "destinationURL" : "https://www.mathworks.com/company/aboutus/policies_statements/patents.html" }, "category" : { "subCategory1" : "company/aboutus", "subCategory2" : "company/aboutus/policies_statements", "pageType" : "co" }, "attributes" : { "recommendationEntityId" : "a167c200b0f330291b985123f808c4c8e7aa3cf9" } }, "product" : [ { "productInfo" : { } } ], "component" : [ ] };</script> <script>(function(g,b,d,f){(function(a,c,d){if(a){var e=b.createElement("style");e.id=c;e.innerHTML=d;a.appendChild(e)}})(b.getElementsByTagName("head")[0],"at-body-style",d);setTimeout(function(){var a=b.getElementsByTagName("head")[0];if(a){var c=b.getElementById("at-body-style");c&&a.removeChild(c)}},f)})(window,document,"[class*='personalization-container']:not([id^='web-application']) {opacity: 0 !important}",1E3);</script> <script src="//assets.adobedtm.com/d0cc0600946eb3957f703b9fe43c3590597a8c2c/satelliteLib-e8d23c2e444abadc572df06537e2def59c01db09.js" async></script> <title>Patents - MATLAB & Simulink</title> <script>!function(a){var e="https://s.go-mpulse.net/boomerang/",t="addEventListener";if("False"=="True")a.BOOMR_config=a.BOOMR_config||{},a.BOOMR_config.PageParams=a.BOOMR_config.PageParams||{},a.BOOMR_config.PageParams.pci=!0,e="https://s2.go-mpulse.net/boomerang/";if(window.BOOMR_API_key="LERXA-6VNES-W6PXS-U8C7F-BXSZH",function(){function n(e){a.BOOMR_onload=e&&e.timeStamp||(new Date).getTime()}if(!a.BOOMR||!a.BOOMR.version&&!a.BOOMR.snippetExecuted){a.BOOMR=a.BOOMR||{},a.BOOMR.snippetExecuted=!0;var i,_,o,r=document.createElement("iframe");if(a[t])a[t]("load",n,!1);else if(a.attachEvent)a.attachEvent("onload",n);r.src="javascript:void(0)",r.title="",r.role="presentation",(r.frameElement||r).style.cssText="width:0;height:0;border:0;display:none;",o=document.getElementsByTagName("script")[0],o.parentNode.insertBefore(r,o);try{_=r.contentWindow.document}catch(O){i=document.domain,r.src="javascript:var d=document.open();d.domain='"+i+"';void(0);",_=r.contentWindow.document}_.open()._l=function(){var a=this.createElement("script");if(i)this.domain=i;a.id="boomr-if-as",a.src=e+"LERXA-6VNES-W6PXS-U8C7F-BXSZH",BOOMR_lstart=(new Date).getTime(),this.body.appendChild(a)},_.write("<bo"+'dy onload="document._l();">'),_.close()}}(),"".length>0)if(a&&"performance"in a&&a.performance&&"function"==typeof a.performance.setResourceTimingBufferSize)a.performance.setResourceTimingBufferSize();!function(){if(BOOMR=a.BOOMR||{},BOOMR.plugins=BOOMR.plugins||{},!BOOMR.plugins.AK){var e=""=="true"?1:0,t="",n="bdpnbetio5uqsz2dqawq-f-e16767f0e-clientnsv4-s.akamaihd.net",i="false"=="true"?2:1,_={"ak.v":"39","ak.cp":"1460359","ak.ai":parseInt("195948",10),"ak.ol":"0","ak.cr":4,"ak.ipv":4,"ak.proto":"http/1.1","ak.rid":"3d98f391","ak.r":39403,"ak.a2":e,"ak.m":"x","ak.n":"essl","ak.bpcip":"8.222.208.0","ak.cport":44156,"ak.gh":"23.200.218.111","ak.quicv":"","ak.tlsv":"tls1.2","ak.0rtt":"","ak.0rtt.ed":"","ak.csrc":"-","ak.acc":"reno","ak.t":"1732476973","ak.ak":"hOBiQwZUYzCg5VSAfCLimQ==Sqm2U9ltVZJGpyQBAinIa9ahPUTU9VkcbEELt9csbCfQ2Y02M2Tk4jhOGIqIf0/5sPNQqXb4oRT3jwB/g2Y2tojNjYqZBu7V6RpiGK7p72Gb/eInLP7dmc9yTL+kR9TJFNOtnczQ/JslpzfKrsayD6DHE1AC5+Z/nNcP4OIIHkowRvhaDzQyx+aPbX4l9nh62Q1955oOGDEraaLi6fsxxyYSR+yKpqyECpDyDUXo9aJf67M/6xUCz03Yrj92zf26g7Ex/Sp7heo1hrNtAUiBA9dVZuqNlMV1eri5PScSJ7Oxhp+Z/hCk65qXOUn13RtN3mFRK2w5lfILTQYsk+zS0b6dQr8nPPpJZZd99VKkoJLh8nf+zUgBVa8pg30N3SDSFU7hF+XFHzs8Br4WDujGJ7WhjEbBy3LlOeyeitqQ2SQ=","ak.pv":"207","ak.dpoabenc":"","ak.tf":i};if(""!==t)_["ak.ruds"]=t;var o={i:!1,av:function(e){var t="http.initiator";if(e&&(!e[t]||"spa_hard"===e[t]))_["ak.feo"]=void 0!==a.aFeoApplied?1:0,BOOMR.addVar(_)},rv:function(){var a=["ak.bpcip","ak.cport","ak.cr","ak.csrc","ak.gh","ak.ipv","ak.m","ak.n","ak.ol","ak.proto","ak.quicv","ak.tlsv","ak.0rtt","ak.0rtt.ed","ak.r","ak.acc","ak.t","ak.tf"];BOOMR.removeVar(a)}};BOOMR.plugins.AK={akVars:_,akDNSPreFetchDomain:n,init:function(){if(!o.i){var a=BOOMR.subscribe;a("before_beacon",o.av,null,null),a("onbeacon",o.rv,null,null),o.i=!0}return this},is_complete:function(){return!0}}}}()}(window);</script></head> <body class="site_lang_en -has_corporatenav " data-cid="mktg"> <a class="skip_link visually-hidden-focusable" href="#main">Skip to content</a> <header class="-has_matrix -has_mwa -has_store -has_topnav -has_subnav "> <nav class="navbar navbar-expand-lg" aria-label="Main navigation"> <div class="container-fluid container-lg"> <div class="d-lg-flex flex-row align-items-center" id="header_content_container"> <a href="/?s_tid=gn_logo" class="navbar-brand d-inline-block"> <img src="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/images/mathworks-logo-rev.20241106114913842.svg" class="mw_logo" alt="MathWorks" width="148" height="30"/> </a> <div class="d-flex d-lg-none" id="global_mobile_actuator_container_search"> <button class="navbar-toggler btn collapsed" id="global_search_mobile_actuator" type="button" data-toggle="collapse" data-bs-toggle="collapse" data-target="#global_search_mobile" data-bs-target="#global_search_mobile" aria-controls="global_search_mobile" aria-expanded="false" aria-label="Toggle Search"> <span class="icon-search"></span> </button> </div> <div class="navbar-collapse collapse" id="global_search_mobile"> <div id="global_search_mobile_placeholder"></div> <div id="global_search_container"> <div class="sectionHeadSearchBox sectionheadsearchbox containsResourceName resourceClass-sectionheadsearchbox"> <form name="search" id="site_search" class="site_search" action="/search.html" method="get"> <div class="input-group"> <label id="search-mathworks" class="visually-hidden sr-only" for="query">Search MathWorks.com</label> <input type="hidden" name="c[]" value="entire_site"/> <input type="search" name="q" id="query" class="form-control rounded-start" placeholder="Search MathWorks.com" autocomplete="off" data-site-domain="www" data-site-language="en"/> <button type="submit" id="searchbutton" class="btn btn_color_blue icon-search" aria-label="Search"></button> </div> </form> </div> </div> </div> <div class="d-flex d-lg-none" id="global_mobile_actuator_container_navigation"> <button class="navbar-toggler collapsed btn" id="global_navigation_mobile_actuator" type="button" data-toggle="collapse" data-bs-toggle="collapse" data-target="#global_navigation" data-bs-target="#global_navigation" aria-controls="global_navigation" aria-expanded="false" aria-label="${alwaystranslate:'Toggle Main Navigation'}"> <span class="icon-menu-full"></span> </button> </div> <div class="collapse navbar-collapse" id="global_navigation"> <div class="topNavigation topnavigation containsResourceName resourceClass-topnavigation"> <ul class="navbar-nav flex-grow-1 align-items-lg-center mb-0"> <li class="nav-item dropdown" id="globalnav_item_products"> <a href="/products.html?s_tid=nav_products" class="nav-link "> Products</a> </li> <li class="nav-item dropdown" id="globalnav_item_solutions"> <a href="/solutions.html?s_tid=nav_solutions" class="nav-link "> Solutions</a> </li> <li class="nav-item dropdown" id="globalnav_item_learn"> <a href="#" class="nav-link dropdown-toggle" role="button" data-toggle="dropdown" data-bs-toggle="dropdown" aria-expanded="false"> Learn </a> <div class="dropdown-menu"> <div class="container-lg"> <div class="mainParsys parsys containsResourceName resourceClass-parsys"><div class="cqColumns containsResourceName section resourceClass-columns"><div class="row "> <div class=" col-12 col-lg-8 d-flex flex-column "><div class="aac60a99-7f7f-4d47-970e-aec00a5723ab parsys containsResourceName resourceClass-parsys"><div class="cqColumns containsResourceName section resourceClass-columns"><div class="row "> <div class=" col-12 col-lg-4 "><div class="80698336-994f-499e-a17d-4016faea1756 parsys containsResourceName resourceClass-parsys"><div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p class="globalnav_section_title">Training</p> <ul class="list-unstyled"> <li><a href="https://matlabacademy.mathworks.com/?s_tid=nav_learn_mlac">Self-Paced Online Courses</a></li> <li><a href="/learn/training.html?s_tid=nav_learn_training">Instructor-Led Courses</a></li> <li><a href="/learn/training/certification.html?s_tid=nav_learn_certification">MathWorks Certification Program</a></li> </ul> </div> </div> </div> </div> <div class=" col-12 col-lg-4 "><div class="755baf42-b699-4cd8-bc82-0bcca29bd064 parsys containsResourceName resourceClass-parsys"><div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p class="globalnav_section_title">Events</p> <ul class="list-unstyled"> <li><a href="https://www.matlabexpo.com/?s_tid=nav_learn_expo">MATLAB EXPO</a></li> <li><a href="/company/events.html?s_tid=nav_learn_events">Upcoming Events</a></li> <li><a href="/videos/search.html?s_tid=nav_learn_webinars&q=&fq%5B%5D=video-external-category:recwebinar&page=1">On-Demand Webinars</a></li> </ul> </div> </div> </div> </div> <div class=" col-12 col-lg-4 "><div class="7126096f-3d8e-44f5-bb5f-e82d4f1dc2e7 parsys containsResourceName resourceClass-parsys"><div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p class="globalnav_section_title">Learning Resources</p> <ul class="list-unstyled"> <li><a href="/academia/educators.html?s_tid=nav_learn_teach">Teach with MATLAB</a></li> <li><a href="/academia/research.html?s_tid=nav_learn_research">Research with MATLAB</a></li> <li><a href="/academia/students.html?s_tid=nav_learn_students">Student Programs</a></li> <li><a href="/academia/books.html?s_tid=nav_learn_books">Books</a></li> </ul> </div> </div> </div> </div> </div> </div> <div class="cqColumns containsResourceName section resourceClass-columns"><div class="row mt-auto d-none d-lg-block "> <div class=" col-lg-4 "><div class="49d1cea7-1177-44e0-aa7b-69d7774587ac parsys containsResourceName resourceClass-parsys"><div class="button containsResourceName resourceClass-button section"> <div class="d-grid"> <a href="/company/aboutus/contact_us.html?s_tid=nav_learn_contact" class="btn btn_color_blue add_margin_20 btn-outline " role="button"> Contact Us</a> </div> </div> </div> </div> </div> </div> <div class="horizontalrule containsResourceName section resourceClass-horizontalrule"> <hr/> </div> <div class="text containsResourceName section resourceClass-text"><div class="mw-text add_link_underline"> <p>Visit the <a href="https://www.mathworks.com/help/?s_tid=nav_learn_hc">Help Center</a> to explore product documentation, engage with community forums, check release notes, and more.</p> </div> </div> </div> </div> <div class=" col-lg-4 d-none d-lg-flex col-xl-3 offset-xl-1 "><div class="6c271095-d40d-4eba-b02a-657255faf52e parsys containsResourceName resourceClass-parsys"><div class="cqPanel containsResourceName resourceClass-panel section"> <div class="panel panel-default "> <div class="panel-heading add_background_cover add_min_height_150 https___www_mathworks_com_shared_content_corporate_nav_learn__jcr_content_mainParsys_columns_copy_6c271095_d40d_4eba_b02a_657255faf52e_panel_copy_headerImage" style="background-image: url('https://www.mathworks.com/shared-content/corporate-nav/learn/_jcr_content/mainParsys/columns_copy/6c271095-d40d-4eba-b02a-657255faf52e/panel_copy/headerImage.adapt.1200.low.jpg/1727979998704.jpg');"> <style data-aem-src="/content/dam/mathworks/mathworks-dot-com/images/responsive/supporting/videos/video-portal-thumbnail.jpg"> @media screen and (min-width: 992px) { .https___www_mathworks_com_shared_content_corporate_nav_learn__jcr_content_mainParsys_columns_copy_6c271095_d40d_4eba_b02a_657255faf52e_panel_copy_headerImage { background-image: url(https://www.mathworks.com/shared-content/corporate-nav/learn/_jcr_content/mainParsys/columns_copy/6c271095-d40d-4eba-b02a-657255faf52e/panel_copy/headerImage.adapt.full.medium.jpg/1727979998704.jpg) !important; }} @media screen and (min-width: 768px) and (max-width: 991px){ .https___www_mathworks_com_shared_content_corporate_nav_learn__jcr_content_mainParsys_columns_copy_6c271095_d40d_4eba_b02a_657255faf52e_panel_copy_headerImage { background-image: url(https://www.mathworks.com/shared-content/corporate-nav/learn/_jcr_content/mainParsys/columns_copy/6c271095-d40d-4eba-b02a-657255faf52e/panel_copy/headerImage.adapt.full.low.jpg/1727979998704.jpg) !important; }} </style> </div> <div class="panel-body add_padding_null"> <div class="panelParsys parsys containsResourceName resourceClass-parsys"><div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p class="h3 add_margin_5">MATLAB and Simulink Videos</p> <p class="add_margin_10">Learn about products, watch demonstrations, and explore what's new.</p> </div> </div> <div class="actionlink containsResourceName section resourceClass-actionlink"> <a href="/videos.html?s_tid=nav_learn_spotlight_videos" class=" icon-chevron add_margin_20 add_margin_0 "> Explore videos</a> </div> </div> </div> </div> <link rel="stylesheet" href="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/panel.min.20241106114913842.css" type="text/css"> </div> </div> </div> </div> </div> </div> </div> </div> </li> <li class="nav-item dropdown" id="globalnav_item_company"> <a href="#" class="nav-link dropdown-toggle active" role="button" data-toggle="dropdown" data-bs-toggle="dropdown" aria-expanded="false"> Company </a> <div class="dropdown-menu"> <div class="container-lg"> <div class="mainParsys parsys containsResourceName resourceClass-parsys"><div class="cqColumns containsResourceName section resourceClass-columns"><div class="row "> <div class=" col-12 col-lg-8 d-flex flex-column "><div class="aac60a99-7f7f-4d47-970e-aec00a5723ab parsys containsResourceName resourceClass-parsys"><div class="cqColumns containsResourceName section resourceClass-columns"><div class="row "> <div class=" col-12 col-lg-4 "><div class="80698336-994f-499e-a17d-4016faea1756 parsys containsResourceName resourceClass-parsys"><div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p class="globalnav_section_title">Company</p> <ul class="list-unstyled"> <li><a href="/company.html?s_tid=nav_company_about_us">About MathWorks</a></li> <li><a href="/company/aboutus/mission_values.html?s_tid=nav_company_mv">Mission and Values</a></li> <li><a href="/company/aboutus/soc_mission.html?s_tid=nav_company_sm">Social Mission</a></li> <li><a href="/company/aboutus/decarbonizing-mathworks.html?s_tid=nav_company_dc">Decarbonizing MathWorks</a></li> <li><a href="/company/customer-stories.html?s_tid=nav_company_cs">Customer Stories</a></li> </ul> </div> </div> </div> </div> <div class=" col-12 col-lg-4 "><div class="755baf42-b699-4cd8-bc82-0bcca29bd064 parsys containsResourceName resourceClass-parsys"><div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p class="globalnav_section_title">Careers</p> <ul class="list-unstyled"> <li><a href="/company/jobs/opportunities.html?s_tid=nav_company_careers">Careers Overview</a></li> <li><a href="/company/jobs/opportunities/search/?s_tid=nav_company_jobs">Job Search</a></li> <li><a href="/company/jobs/resources/diversity-and-inclusion.html?s_tid=nav_company_dei">Diversity, Equity, and Inclusion</a></li> <li><a href="/company/jobs/teams-roles.html?s_tid=nav_company_teams">Teams and Roles</a></li> <li><a href="/company/jobs/resources/locations.html?s_tid=nav_company_locations">Office Locations</a></li> </ul> </div> </div> </div> </div> </div> </div> <div class="cqColumns containsResourceName section resourceClass-columns"><div class="row mt-auto d-none d-lg-block "> <div class=" col-lg-4 "><div class="49d1cea7-1177-44e0-aa7b-69d7774587ac parsys containsResourceName resourceClass-parsys"><div class="button containsResourceName resourceClass-button section"> <div class="d-grid"> <a href="/company/aboutus/contact_us.html?s_tid=nav_company_contact" class="btn btn_color_blue add_margin_0 btn-outline " role="button"> Contact Us</a> </div> </div> </div> </div> </div> </div> </div> </div> <div class=" col-lg-4 d-none d-lg-flex col-xl-3 offset-xl-1 "><div class="6c271095-d40d-4eba-b02a-657255faf52e parsys containsResourceName resourceClass-parsys"><div class="cqPanel containsResourceName resourceClass-panel section"> <div class="panel panel-default add_margin_0 "> <div class="panel-heading add_background_cover add_min_height_150 https___www_mathworks_com_shared_content_corporate_nav_company__jcr_content_mainParsys_columns_6c271095_d40d_4eba_b02a_657255faf52e_panel_headerImage" style="background-image: url('https://www.mathworks.com/shared-content/corporate-nav/company/_jcr_content/mainParsys/columns/6c271095-d40d-4eba-b02a-657255faf52e/panel/headerImage.adapt.1200.low.jpg/1723563779323.jpg');"> <style data-aem-src="/content/dam/mathworks/mathworks-dot-com/company/events/images/decarbonization-spotlight.jpg"> @media screen and (min-width: 992px) { .https___www_mathworks_com_shared_content_corporate_nav_company__jcr_content_mainParsys_columns_6c271095_d40d_4eba_b02a_657255faf52e_panel_headerImage { background-image: url(https://www.mathworks.com/shared-content/corporate-nav/company/_jcr_content/mainParsys/columns/6c271095-d40d-4eba-b02a-657255faf52e/panel/headerImage.adapt.full.medium.jpg/1723563779323.jpg) !important; }} @media screen and (min-width: 768px) and (max-width: 991px){ .https___www_mathworks_com_shared_content_corporate_nav_company__jcr_content_mainParsys_columns_6c271095_d40d_4eba_b02a_657255faf52e_panel_headerImage { background-image: url(https://www.mathworks.com/shared-content/corporate-nav/company/_jcr_content/mainParsys/columns/6c271095-d40d-4eba-b02a-657255faf52e/panel/headerImage.adapt.full.low.jpg/1723563779323.jpg) !important; }} </style> </div> <div class="panel-body add_padding_null"> <div class="panelParsys parsys containsResourceName resourceClass-parsys"><div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p class="h3 add_margin_5">Decarbonizing MathWorks</p> <p class="add_margin_10">See how MathWorks is protecting and restoring Earth’s resources.</p> </div> </div> <div class="actionlink containsResourceName section resourceClass-actionlink"> <a href="/company/aboutus/decarbonizing-mathworks.html?s_tid=nav_company_spotlight_dc" class=" icon-chevron add_margin_20 add_margin_0 "> Learn more</a> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </li> <li class="nav-item dropdown -alignment_lg_end" id="globalnav_item_help"> <a href="/help/?s_tid=nav_help_doc" class="nav-link "> Help Center</a> </li> <li class="nav-item d-none d-lg-block -alignment_lg_end" id="globalnav_item_matlab"> <a href="https://login.mathworks.com/embedded-login/landing.html?cid=getmatlab&s_tid=gn_getml" style="display:none;" class="not-logged-in btn btn_color_orange "> Get MATLAB</a> <a href="https://login.mathworks.com/embedded-login/landing.html?cid=getmatlab&s_tid=gn_getml" style="display:none;" class="logged-in btn btn_color_orange "> MATLAB</a> </li> <li class="nav-item dropdown -alignment_lg_end" id="globalnav_item_mwa"> <a href="#" class="nav-link headernav_login mwa-nav_login" id="mwanav_item_login" style="display: none;" aria-label="Sign In to Your MathWorks Account"> Sign In </a> <a href="#" class="nav-link headernav_logout dropdown-toggle" id="mwanav_actuator" role="button" data-toggle="dropdown" data-bs-toggle="dropdown" aria-expanded="false" style="display: none;" title="Access your MathWorks Account"> <span class="mwanav_avatar mwa_image_drop_down"></span> <span class="mobile_account_name visually_hidden_xxl visually_hidden_xl visually_hidden_lg hidden-md hidden-lg"></span> </a> <ul class="dropdown-menu dropdown-menu-lg-end" id="mwanav_dropdown_menu"> <li id='mwanav_item_account'><a class='mwa-account dropdown-item'>My Account</a></li> <li id='mwanav_item_community'><a class='mwa-community-profile dropdown-item'>My Community Profile</a></li> <li id='mwanav_item_associate'><a class='mwa-link-license dropdown-item'>Link License</a></li> <li><hr class="dropdown-divider"/></li> <li id='mwanav_item_logout'><a class='mwa-logout dropdown-item'>Sign Out</a></li> </ul> </li> <li class="nav-item d-block d-lg-none" id="globalnav_item_mobile_divider"><hr class="dropdown-divider"/></li> <li class="nav-item d-block d-sm-flex gap-3 d-lg-none" id="globalnav_item_mobile_ctas"> <a href="https://login.mathworks.com/embedded-login/landing.html?cid=getmatlab&s_tid=gn_getml" style="display:none !important;" class="not-logged-in btn btn-outline btn_color_orange d-block flex-grow-1 companion_btn "> Get MATLAB</a> <a href="https://login.mathworks.com/embedded-login/landing.html?cid=getmatlab&s_tid=gn_getml" style="display:none !important;" class="logged-in btn btn-outline btn_color_orange d-block flex-grow-1 companion_btn "> MATLAB</a> <a href="/company/aboutus/contact_us.html?s_tid=gn_ps" class="btn btn-outline btn_color_blue d-block flex-grow-1 companion_btn "> Contact Us</a> </li> <li class="nav-item dropdown d-none d-lg-block -alignment_lg_end" id="globalnav_item_search"> <a href="#" class="nav-link dropdown-toggle" role="button" data-toggle="dropdown" data-bs-toggle="dropdown" aria-expanded="false" aria-label="Search"><span class="icon-search"></span></a> <div class="dropdown-menu"> <div class="container-lg"> <div class="row align-items-center"> <div class="col-12 col-lg-4"> <p class="h1">Search</p> </div> <div class="col-12 col-lg-8"> <div id="global_search_desktop_placeholder"></div> </div> </div> </div> </div> </li> </ul> </div> </div> </div> </div> </nav> </header> <div class="sticky-top" id="sticky_container"> <div class="sectionHead sectionhead containsResourceName resourceClass-sectionhead"> <div class="section_banner" id="section_banner"> <div class="container-fluid container-lg"> <div class="row align-items-center"> <div class="col-12"> <div class="section_banner_title"> <p class="h1"> <a href="/company.html" class="add_cursor_pointer">About MathWorks</a> </p> </div> </div> </div> </div> </div> </div> <div class="subnav" id="subnav"> <div class="subnav_container"> <div class="container-fluid container-lg"> <div class="row"> <div class="col-12"> <div class="localNavigation localnav containsResourceName resourceClass-localnav"> <div id="sliding_nav" class="splide" data-item-per-page="6"> <div class="splide__track"> <ul class="splide__list"> <li class="splide__slide dropdown "> <a href="#" class="dropdown-toggle" data-toggle="dropdown" data-bs-toggle="dropdown" role="button" aria-expanded="false"> About MathWorks <span class="caret"></span> </a> <ul class="dropdown-menu"> <li> <a href="/company/aboutus/founders.html" class="dropdown-item "> Founders</a> </li> <li> <a href="/company/aboutus/mission_values.html" class="dropdown-item "> Mission and Values</a> </li> <li> <a href="/company/aboutus/contact_us.html#offices" class="dropdown-item "> Worldwide Offices</a> </li> <li> <a href="/company/aboutus/decarbonizing-mathworks.html" class="dropdown-item "> Decarbonizing MathWorks</a> </li> <li> <a href="/company/aboutus/policies_statements.html" class="dropdown-item "> Policies and Statements</a> </li> </ul> </li> <li class="splide__slide "> <a href="/company/jobs/opportunities.html"> Careers</a> </li> <li class="splide__slide dropdown "> <a href="#" class="dropdown-toggle" data-toggle="dropdown" data-bs-toggle="dropdown" role="button" aria-expanded="false"> Social Mission <span class="caret"></span> </a> <ul class="dropdown-menu"> <li> <a href="/company/aboutus/soc_mission.html" class="dropdown-item "> Social Mission Overview</a> </li> <li> <a href="/company/aboutus/soc_mission/education.html" class="dropdown-item "> Investments in Education</a> </li> <li> <a href="/company/aboutus/soc_mission/staff.html" class="dropdown-item "> Staff-Driven Initiatives</a> </li> <li> <a href="/company/aboutus/soc_mission/community.html" class="dropdown-item "> Local Community Support</a> </li> <li> <a href="/company/aboutus/soc_mission/greeninitiatives.html" class="dropdown-item "> Green Initiatives</a> </li> <li> <a href="/company/aboutus/soc_mission/global-relief.html" class="dropdown-item "> Global Relief Efforts</a> </li> </ul> </li> <li class="splide__slide "> <a href="/company/newsroom.html"> Newsroom</a> </li> <li class="splide__slide "> <a href="/company/customer-stories.html"> Customer Stories</a> </li> <li class="splide__slide "> <a href="/company/aboutus/contact_us.html"> Contact Us</a> </li> </ul> </div> </div> <div> <div class="cq-placeholder" data-emptytext="Sliding Local Navigation"></div> </div> <link rel="stylesheet" href="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/splide.min.20241106114913842.css" type="text/css"> <link rel="stylesheet" href="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/localslidingnav.min.20241106114913842.css" type="text/css"> <script src="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/splide.min.20241106114913842.js"></script> <script src="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/slidingnav.min.20241106114913842.js"></script> </div> </div> </div> </div> </div> </div> </div> <div class="content_container" id="content_container"> <div class="container-fluid container-lg"> <main id="main" tabindex="-1"> <section><div class="mainParsys parsys containsResourceName resourceClass-parsys"><div class="cqColumns containsResourceName section resourceClass-columns"><div class="row "> <div class=" col-sm-9 "><div class="1 parsys containsResourceName resourceClass-parsys"><div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <h1 class="add_font_color_orange">Policies and Statements</h1> </div> </div> <div class="cqColumns containsResourceName section resourceClass-columns"><div class="row "> <div class=" col-12 col-md-6 "><div class="1 parsys containsResourceName resourceClass-parsys"><div class="inpagenav containsResourceName section resourceClass-inpagenav"> <ul class="list-group list-group-flush list_inpagenav "> <li class="list-group-item"> <a href="/company/aboutus/policies_statements.html"> Privacy Policy</a> </li> <li class="list-group-item"> <a href="/company/aboutus/policies_statements/trust-center.html"> Trust Center</a> </li> <li class="list-group-item"> <a href="/company/aboutus/policies_statements/cert_rep.html"> Certifications and Representations</a> </li> <li class="list-group-item"> <a href="/company/aboutus/policies_statements/taxid.html"> Tax ID and Addresses</a> </li> <li class="list-group-item"> <a href="/company/aboutus/policies_statements/patents.html"> Patents</a> </li> <li class="list-group-item"> <a href="/company/aboutus/policies_statements/trademarks.html"> Trademarks</a> </li> <li class="list-group-item"> <a href="/company/aboutus/policies_statements/piracy.html"> Preventing Software Piracy</a> </li> <li class="list-group-item"> <a href="/company/aboutus/policies_statements/vulnerability-disclosure-policy.html"> Vulnerability Disclosure Policy for Security Researchers</a> </li> <li class="list-group-item"> <a href="/company/aboutus/policies_statements/covid-19-business-continuity.html"> COVID-19 Business Continuity</a> </li> </ul> <link rel="stylesheet" href="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/inpagenav.min.20241106114913842.css" type="text/css"> </div> </div> </div> </div> </div> <div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <h2>Patents</h2> </div> </div> <div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p>MathWorks products are covered by one or more patents.</p> </div> </div> <div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <h3>MATLAB<sup>®</sup>, MATLAB<sup>®</sup> Compiler, and other <a href="/products.html">MATLAB family products</a></h3> </div> </div> <div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p><br> <b>U.S. Patents:</b><br> 7,096,154; 7,165,253; 7,231,631; 7,296,054; 7,369,127; 7,428,737; 7,460,123; 7,500,220; 7,502,745; 7,523,023; 7,523,440; 7,529,652; 7,558,712; 7,624,372; 7,640,154; 7,647,213; 7,680,637; 7,685,596; 7,690,004; 7,725,679; 7,752,138; 7,752,636; 7,765,561; 7,805,466; 7,809,988; 7,840,938; 7,849,359; 7,849,470; 7,865,254; 7,886,307; 7,890,198; 7,904,410; 7,908,591; 7,925,791; 7,933,908; 7,958,490; 7,975,001; 7,984,416; 7,987,227; 8,010,954; 8,032,582; 8,046,201; 8,046,736; 8,046,749; 8,046,777; 8,055,598; 8,056,053; 8,056,079; 8,060,346; 8,069,178; 8,108,845; 8,127,311; 8,130,239; 8,156,493; 8,165,413; 8,171,027; 8,185,556; 8,185,868; 8,190,400; 8,209,419; 8,219,378; 8,219,476; 8,225,300; 8,230,424; 8,230,427; 8,234,098; 8,234,623; 8,239,844; 8,239,845; 8,250,550; 8,255,889; 8,255,890; 8,260,602; 8,260,791; 8,265,916; 8,280,661; 8,300,060; 8,307,328; 8,312,423; 8,314,813; 8,321,847; 8,321,848; 8,326,750; 8,327,029; 8,346,526; 8,346,793; 8,365,088; 8,365,144; 8,380,880; 8,392,467; 8,397,224; 8,402,317; 8,418,158; 8,423,326; 8,446,425; 8,458,668; 8,464,226; 8,467,888; 8,484,262; 8,489,382; 8,495,114; 8,510,366; 8,514,247; 8,527,942; 8,527,973; 8,533,402; 8,533,697; 8,538,185; 8,543,939; 8,549,096; 8,549,500; 8,561,077; 8,566,375; 8,594,217; 8,595,439; 8,606,375; 8,612,980; 8,621,425; 8,631,392; 8,671,394; 8,682,453; 8,688,765; 8,694,301; 8,694,972; 8,700,686; 8,707,280; 8,712,753; 8,726,278; 8,732,685; 8,738,578; 8,738,684; 8,745,254; 8,751,480; 8,762,784; 8,762,953; 8,762,956; 8,762,974; 8,769,486; 8,769,503; 8,769,510; 8,776,015; 8,776,039; 8,782,618; 8,788,316; 8,789,017; 8,799,871; 8,806,428; 8,806,430; 8,819,119; 8,819,420; 8,819,643; 8,826,229; 8,832,177; 8,838,974; 8,839,193; 8,843,906; 8,849,863; 8,856,796; 8,863,130; 8,863,146; 8,875,161; 8,881,178; 8,890,879; 8,904,299; 8,918,511; 8,924,929; 8,930,387; 8,930,881; 8,933,963; 8,935,682; 8,943,474; 8,949,807; 8,966,456; 8,990,825; 9,015,660; 9,015,661; 9,015,681; 9,015,684; 9,026,233; 9,026,478; 9,031,349; 9,047,314; 9,053,235; 9,058,424; 9,064,053; 9,069,517; 9,076,223; 9,081,761; 9,098,288; 9,110,676; 9,117,029; 9,122,488; 9,129,136; 9,135,027; 9,135,065; 9,142,184; 9,146,750; 9,152,657; 9,158,291; 9,170,783; 9,183,120; 9,183,347; 9,201,763; 9,201,897; 9,208,208; 9,223,595; 9,244,652; 9,244,661; 9,244,667; 9,244,729; 9,251,548; 9,274,761; 9,280,146; 9,280,354; 9,280,382; 9,292,419; 9,304,743; 9,311,111; 9,319,666; 9,329,897; 9,335,979; 9,348,584; 9,348,798; 9,395,963; 9,405,564; 9,423,822; 9,424,076; 9,449,044; 9,454,513; 9,489,283; 9,501,749; 9,507,374; 9,514,413; 9,519,497; 9,519,671; 9,529,981; 9,542,164; 9,563,406; 9,582,288; 9,582,330; 9,582,469; 9,588,744; 9,600,411; 9,612,940; 9,613,017; 9,645,915; 9,652,722; 9,665,348; 9,665,471; 9,674,294; 9,703,515; 9,703,532; 9,703,934; 9,703,935; 9,727,446; 9,740,458; 9,740,505; 9,761,026; 9,811,640; 9,871,697; 9,880,925; 9,886,008; 9,886,268; 9,933,929; 9,996,597; 10,001,977; 10,013,536; 10,095,513; 10,222,944; 10,223,076; 10,346,138;10,445,341; 10,649,744; 10,671,624; 10,684,737; 10,684,781; 10,691,420; 10,872,027; 10,902,012; 10,949,173; 10,949,181; 10,956,212; 11,055,092; 11,169,993; 11,226,888; 11,403,074; 11,410,073; 11,418,555; 11,609,893; 11,620,111; D613299; D788; 11,941,545</p> </div> </div> <div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p><b>International Patents:</b><br> China ZL201080035134.7; China ZL201180056419.3; China ZL201180056737.X; Finland 2789103; France 2005298; France 2049994; France 2102722; France 2102746; France 2147374; France 2210206; France 2212789; France 2438487; France 2622420; France 2622421; France 2661683; France 2671161; France 2769302; France 2789103; France 2909680; Germany 2005298; Germany 2049994; Germany 2102722; Germany 2102746; Germany 2147374; Germany 2212789; Germany 2438487; Germany 2622420; Germany 2622421; Germany 2661683; Germany 2671161; Germany 2769302; Germany 2789103; Germany 2909680; Great Britain 2005298; Great Britain 2049994; Great Britain 2102722; Great Britain 2102746; Great Britain 2147374; Great Britain 2210206; Great Britain 2212789; Great Britain 2438487; Great Britain 2622420; Great Britain 2622421; Great Britain 2661683; Great Britain 2671161; Great Britain 2769302; Great Britain 2789103; Great Britain 2909680; India 3109/CHENP/2013; India 328805; India 339744; India 377831; Japan 5648049; Japan 6978964; Korea 10-1849415; Korea 10-1906616; Korea 10-1917399</p> </div> </div> <div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <h3><a href="/products.html">Polyspace family products</a></h3> </div> </div> <div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <div class="add_margin_20"> <b>U.S. Patents:</b><br> 8,336,030; 8,745,586; 8,881,116; 8,997,065; 9,081,595; 9,535,821 </div> </div> </div> <div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <h3>Simulink<sup>®</sup> and other <a href="/products.html">Simulink family products</a></h3> </div> </div> <div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <div class="add_margin_20"> <b>U.S. Patents:</b><br> 7,139,687; 7,167,817; 7,178,112; 7,246,056; 7,292,964; 7,296,054; 7,313,449; 7,324,931; 7,337,102; 7,337,430; 7,350,172; 7,350,189; 7,369,977; 7,398,192; 7,412,366; 7,412,367; 7,424,684; 7,472,103; 7,487,071; 7,487,077; 7,487,080; 7,490,032; 7,493,619; 7,496,895; 7,500,209; 7,500,220; 7,503,027; 7,509,244; 7,512,613; 7,519,516; 7,523,023; 7,523,440; 7,529,652; 7,539,604; 7,543,270; 7,558,710; 7,558,712; 7,574,336; 7,580,962; 7,584,465; 7,624,000; 7,640,154; 7,643,973; 7,647,213; 7,665,025; 7,680,632; 7,680,636; 7,680,637; 7,689,389; 7,689,969; 7,720,656; 7,720,657; 7,729,894; 7,739,081; 7,739,655; 7,742,903; 7,743,361; 7,752,559; 7,765,529; 7,797,673; 7,797,674; 7,801,715; 7,809,545; 7,818,730; 7,823,121; 7,823,122; 7,834,876; 7,835,889; 7,835,895; 7,840,913; 7,844,943; 7,861,217; 7,865,254; 7,873,500; 7,877,248; 7,882,462; 7,885,792; 7,885,800; 7,890,198; 7,890,310; 7,900,168; 7,900,188; 7,900,191; 7,904,876; 7,913,222; 7,925,477; 7,941,299; 7,945,886; 7,949,502; 7,962,317; 7,966,161; 7,966,610; 7,969,452; 7,970,594; 7,974,820; 7,974,823; 7,974,825; 8,005,812; 8,015,543; 8,015,544; 8,019,575; 8,019,579; 8,024,167; 8,036,871; 8,041,551; 8,046,202; 8,046,386; 8,046,708; 8,046,751; 8,065,117; 8,127,311; 8,141,011; 8,141,060; 8,150,673; 8,160,844; 8,181,150; 8,190,400; 8,200,807; 8,200,849; 8,201,140; 8,204,732; 8,214,783; 8,219,378; 8,220,006; 8,225,275; 8,225,276; 8,225,318; 8,230,395; 8,230,515; 8,234,098; 8,234,105; 8,234,625; 8,234,630; 8,234,647; 8,260,597; 8,260,598; 8,260,601; 8,261,233; 8,265,916; 8,271,936; 8,280,832; 8,286,129; 8,301,423; 8,314,813; 8,316,359; 8,336,025; 8,346,526; 8,347,245; 8,352,505; 8,359,304; 8,364,456; 8,365,088; 8,365,139; 8,365,141; 8,370,156; 8,380,467; 8,386,222; 8,387,000; 8,387,005; 8,392,151; 8,402,317; 8,402,411; 8,402,449; 8,418,097; 8,418,158; 8,423,326; 8,423,345; 8,436,726; 8,438,002; 8,448,130; 8,453,110; 8,457,945; 8,458,655; 8,464,188; 8,464,204; 8,467,888; 8,478,577; 8,489,382; 8,504,336; 8,504,983; 8,514,247; 8,515,723; 8,516,384; 8,519,979; 8,522,196; 8,522,215; 8,525,813; 8,527,941; 8,533,642; 8,543,337; 8,543,611; 8,543,976; 8,554,486; 8,560,290; 8,566,804; 8,577,651; 8,577,654; 8,584,088; 8,589,870; 8,594,217; 8,595,439; 8,600,954; 8,601,457; 8,606,375; 8,612,490; 8,612,505; 8,615,385; 8,615,715; 8,620,628; 8,620,629; 8,627,278; 8,631,013; 8,635,055; 8,656,352; 8,661,344; 8,667,407; 8,667,462; 8,671,110; 8,671,394; 8,674,983; 8,676,550; 8,676,551; 8,682,453; 8,683,426; 8,689,236; 8,694,301; 8,694,947; 8,695,000; 8,700,366; 8,700,368; 8,700,374; 8,700,378; 8,701,081; 8,706,964; 8,707,190; 8,712,753; 8,713,528; 8,719,766; 8,719,949; 8,726,232; 8,726,233; 8,732,359; 8,732,685; 8,738,784; 8,739,129; 8,745,026; 8,745,537; 8,745,557; 8,745,624; 8,756,044; 8,756,046; 8,756,562; 8,762,120; 8,762,311; 8,762,784; 8,762,974; 8,768,652; 8,768,658; 8,775,147; 8,776,015; 8,782,618; 8,793,602; 8,798,971; 8,805,651; 8,805,664; 8,806,429; 8,806,430; 8,812,269; 8,812,276; 8,812,283; 8,826,255; 8,832,646; 8,836,726; 8,839,187; 8,839,193; 8,843,906; 8,849,641; 8,855,971; 8,855,981; 8,855,983; 8,855,992; 8,856,726; 8,862,442; 8,862,446; 8,863,069; 8,868,399; 8,869,102; 8,869,103; 8,881,097; 8,887,126; 8,903,688; 8,904,302; 8,904,367; 8,914,262; 8,918,509; 8,918,769; 8,924,193; 8,924,925; 8,930,909; 8,935,133; 8,935,137; 8,938,381; 8,949,532; 8,965,742; 8,972,931; 8,983,823; 8,984,494; 8,984,496; 8,990,057; 8,990,739; 8,990,783; 9,003,357; 9,015,684; 9,026,233; 9,032,380; 9,038,077; 9,043,748; 9,058,175; 9,063,741; 9,064,075; 9,075,510; 9,075,630; 9,092,162; 9,098,288; 9,098,291; 9,098,292; 9,098,661; 9,117,039; 9,128,783; 9,146,838; 9,158,291; 9,158,654; 9,158,664; 9,164,733; 9,201,897; 9,201,986; 9,207,912; 9,244,510; 9,244,886; 9,245,068; 9,256,405; 9,256,485; 9,262,060; 9,262,141; 9,268,537; 9,274,928; 9,280,146; 9,280,354; 9,292,631; 9,298,862; 9,304,838; 9,304,840; 9,311,434; 9,311,436; 9,317,331; 9,317,408; 9,317,628; 9,317,629; 9,323,851; 9,329,840; 9,330,131; 9,335,979; 9,336,115; 9,348,798; 9,354,846; 9,378,562; 9,389,836; 9,395,889; 9,396,199; 9,411,559; 9,436,441; 9,436,442; 9,442,696; 9,442,701; 9,442,702; 9,449,128; 9,454,283; 9,454,627; 9,460,239; 9,471,641; 9,489,290; 9,507,572; 9,507,888; 9,513,880; 9,519,497; 9,529,697; 9,536,023; 9,542,164; 9,547,423; 9,547,481; 9,558,301; 9,558,305; 9,563,408; 9,565,067; 9,568,258; 9,569,179; 9,575,939; 9,582,398; 9,582,768; 9,582,933; 9,588,744; 9,594,608; 9,594,854; 9,600,241; 9,607,113; 9,612,806; 9,619,593; 9,632,759; 9,639,332; 9,658,835; 9,672,389; 9,697,304; 9,710,237; 9,740,529; 9,753,731; 9,774,699; 9,779,195; 9,817,931; 9,846,571; 9,864,588; 9,880,922; 9,934,004; 9,946,668; 9,952,837;<br> 10,025,566; 10,055,203; 10,078,717; 10,078,738; 10,089,089; 10,095,487; 10,095,814; 10,114,917; 10,116,500; 10,140,099; 10,152,767; 10,157,045; 10,157,246; 10,168,990; 10,185,793; 10,216,501; 10,216,864; 10,235,140; 10,248,390; 10,261,760; 10,275,547; 10,318,653; 10,360,052; 10,360,310; 10,360,502; 10,365,897; 10,372,841; 10,387,584; 10,387,585; 10,394,533; 10,417,355; 10,430,532; 10,503,844; 10,521,197; 10,534,603; 10,545,731; 10,585,648; 10,585,997; 10,614,258; 10,635,844; 10,657,029; 10,657,208; 10,666,744; 10,684,936; 10,691,578; 10,705,800; 10,705,806; 10,719,645; 10,725,440; 10,740,113; 10,740,514; 10,755,001; 10,824,400; 10,831,456; 10,833,928; 10,853,532; 10,866,789; 10,877,152; 10,884,712; 10,915,302; 10,915,422; 10,922,208; 10,929,160; 10,936,769; 10,949,182; 10,969,933; 10,970,183; 11,023,360; 11,042,675; 11,048,487; 11,061,539; 11,126,407; 11,144,434; 11,144,684; 11,216,604; 11,244,090; 11,314,225; 11,327,725; 11,354,463; 11,360,747; 11,409,249; 11,409,504; 11,454,188; 11,501,062; 11,520,956: 11,556,357; 11,593,540; 11,755,294; 11,762,943; 11,782,682; 11,829,689; 11,853,690; 11,966,675; 11,982,747; 12,008,344; </div> <div class="add_margin_20"> <b>International Patents:</b><br> Austria 3410322; Canada 2,854,828; China ZL200580007811.3; China ZL201080035134.7; China ZL201180056419.3; China ZL201180056737.X; China ZL201810555203.5; Finland 2789103; France 1618471; France 1706818; France 1763804; France 1817700; France 1849064; France 1899876; France 1934725; France 1938230; France 1963965; France 1966689; France 2062136; France 2062175; France 2102722; France 2438487; France 2510433; France 2622420; France 2622421; France 2718820; France 2718821; France 2776943; France 2788867; France 2789103; France 2815310; France 2883137; France 2915040; France 3005089; France 3005122; France 3143504; France 3273368; France 3301575; France 3403221; France 3410322; France 3465424; France 3547063; France 3745256; Germany 1618471; Germany 1706818; Germany 1763804; Germany 1849064; Germany 1899876; Germany 1934725; Germany 1938230; Germany 1963965; Germany 1966689; Germany 2062136; Germany 2062175; Germany 2102722; Germany 2438487; Germany 2510433; Germany 2622420; Germany 2622421; Germany 2718820; Germany 2718821; Germany 2776943; Germany 2788867; Germany 2789103; Germany 2791803; Germany 2815310; Germany 2883137; Germany 2915040; Germany 3005089; Germany 3005122; Germany 3143504; Germany 3273368; Germany 3301575; Germany 3403221; Germany 3410322; Germany 3465424; Germany 3547063; Germany 3745256; Germany 212016000110; Germany 212016000256; Great Britain 1618471; Great Britain 1706818; Great Britain 1763804; Great Britain 1817700; Great Britain 1849064; Great Britain 1899876; Great Britain 1934725; Great Britain 1938230; Great Britain 1963965; Great Britain 1966689; Great Britain 2062136; Great Britain 2062175; Great Britain 2102722; Great Britain 2438487; Great Britain 2510433; Great Britain 2622420; Great Britain 2622421; Great Britain 2718821; Great Britain 2789103; Great Britain 2815310; Great Britain 2883137; Great Britain 2915040; Great Britain 3005089; Great Britain 3005122; Great Britain 3143504; Great Britain 3273368; Great Britain 3301575; Great Britain 3403221; Great Britain 3410322; Great Britain 3465424; Great Britain 3547063; Great Britain 3745256; Hungary 1706818; Hungary 1899876; Hungary 1963965; Hungary 2915040; India 254632; Italy 1706818; Italy 3403221; Italy 3465424; Italy 3547063; Japan 4852430; Japan 5028268; Japan 5567682; Japan 5648049; Japan 6033891; Japan 6038959; Japan 6220882; Japan 6334606; Japan 6606220; Japan 6639555; Japan 6953450; Japan 7171192; Netherlands 2062136; Romania 2062136; South Africa 2016/03750; Spain 1706818; Sweden 1706818; Sweden 1934725; Sweden 1938230; Sweden 1963965; Sweden 2062136; Sweden 2718820; Sweden 2776943; Sweden 2788867; Sweden 3403221; Sweden 3410322; Switzerland 1934725; Japan 7485750; </div> <div class="add_margin_20"> Other U.S. and international patents pending. </div> </div> </div> </div> </div> </div> </div> </div> </section> <div><div class="modalParsys parsys containsResourceName resourceClass-parsys"> </div> </div> <div id="location_content" style="display:none;"></div> <div class="modal fade" id="country-unselected" tabindex="-1" aria-labelledby="domain_selector_label" style="padding-left: 0px; display:none;" aria-modal="true" role="dialog"> <div class="modal-dialog modal-xl"> <div class="modal-content"> <div class="modal-header"> <img src="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/images/mathworks-logo.20241106114913842.svg" class="mw_logo theme_light" alt="MathWorks" width="173" height="35"/> <img src="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/images/mathworks-logo-rev.20241106114913842.svg" class="mw_logo theme_dark" alt="MathWorks" width="173" height="35" style="display:none;"/> <button type="button" class="btn-close" data-bs-dismiss="modal" aria-label="Close"></button> </div> <div class="modal-body"> <p class="h1 icon-globe" id="domain_selector_label">Select a Web Site</p> <p>Choose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select: <strong class="recommended-country"></strong>.</p> <div class="default-recommendation"> <p><a href="#" id="recommended_domain_button" class="btn btn_color_blue" data-lang="en"><span class="recommended-country"></span></a></p> </div> <div class="ch-recommendation" style="display:none;"> <ul class="list-inline"> <li class="list-inline-item add_margin_5 d-block d-md-inline-block"><a href="//ch.mathworks.com" class="recommendation-button btn btn-outline btn_color_blue" data-subdomain="ch" data-lang="en" data-recommended-text="Switzerland" data-default-lang="true" data-do-not-rewrite="true"><strong class="recommended-country"></strong> (English)</a></li> <li class="list-inline-item add_margin_5 d-block d-md-inline-block"><a href="//ch.mathworks.com" class="recommendation-button btn btn-outline btn_color_blue" data-subdomain="ch" data-lang="de" data-recommended-text="Schweiz" data-do-not-rewrite="true"><strong class="recommended-country"></strong> (Deutsch)</a></li> <li class="list-inline-item add_margin_5 d-block d-md-inline-block"><a href="//ch.mathworks.com" class="recommendation-button btn btn-outline btn_color_blue" data-subdomain="ch" data-lang="fr" data-recommended-text="Suisse" data-do-not-rewrite="true"><strong class="recommended-country"></strong> (Français)</a></li> </ul> </div> <div class="zh-recommendation" style="display:none;"> <ul class="list-inline"> <li class="list-inline-item"><a href="//ww2.mathworks.cn" class="recommendation-button btn btn-outline btn_color_blue" data-subdomain="ww2" data-lang="zh" data-recommended-text="中国" data-default-lang="true" data-do-not-rewrite="true"><strong class="recommended-country"></strong>(简体中文)</a></li> <li class="list-inline-item"><a href="//ww2.mathworks.cn" class="recommendation-button btn btn-outline btn_color_blue" data-subdomain="ww2" data-lang="en" data-recommended-text="China" data-do-not-rewrite="true"><strong class="recommended-country"></strong> (English)</a></li> </ul> </div> <p>You can also select a web site from the following list</p> <div class="alert alert-warning" role="alert" id="china_performance_alert" style="display:none;"> <span class="alert_icon icon-alert-warning"></span> <p class="alert_heading"><strong>How to Get Best Site Performance</strong></p> <p>Select the China site (in Chinese or English) for best site performance. Other MathWorks country sites are not optimized for visits from your location.</p> </div> <div class="row add_margin_30"> <div class="col-12 col-sm-4 col-lg-3"> <p class="h3 add_bottom_rule">Americas</p> <ul class="list-unstyled"> <li><a href="//la.mathworks.com" class="domain_selector_link" data-country-code="LA" data-subdomain="la" data-lang="es" data-default-lang="true" data-selected-text="América Latina" data-recommended-text="América Latina" data-do-not-rewrite="true">América Latina</a> (Español)</li> <li><a href="//www.mathworks.com" class="domain_selector_link" data-country-code="CA" data-subdomain="www" data-lang="en" data-do-not-rewrite="true">Canada</a> (English)</li> <li><a href="//www.mathworks.com" class="domain_selector_link" data-country-code="US" data-subdomain="www" data-lang="en" data-default-lang="true" data-selected-text="United States" data-recommended-text="United States" data-do-not-rewrite="true">United States</a> (English)</li> </ul> </div> <div class="col-12 col-sm-4 col-lg-6"> <p class="h3 add_bottom_rule">Europe</p> <div class="row"> <div class="col-6 col-sm-12 col-lg-6"> <ul class="list-unstyled"> <li><a href="//nl.mathworks.com" class="domain_selector_link" data-country-code="BE" data-subdomain="nl" data-lang="en" data-do-not-rewrite="true">Belgium</a> (English)</li> <li><a href="//se.mathworks.com" class="domain_selector_link" data-country-code="DK" data-subdomain="se" data-lang="en" data-do-not-rewrite="true">Denmark</a> (English)</li> <li><a href="//de.mathworks.com" class="domain_selector_link" data-country-code="DE" data-subdomain="de" data-lang="de" data-default-lang="true" data-selected-text="Deutschland" data-recommended-text="Deutschland" data-do-not-rewrite="true">Deutschland</a> (Deutsch)</li> <li><a href="//es.mathworks.com" class="domain_selector_link" data-country-code="ES" data-subdomain="es" data-lang="es" data-default-lang="true" data-selected-text="España" data-recommended-text="España" data-do-not-rewrite="true">España</a> (Español)</li> <li><a href="//se.mathworks.com" class="domain_selector_link" data-country-code="FI" data-subdomain="se" data-lang="en" data-do-not-rewrite="true">Finland</a> (English)</li> <li><a href="//fr.mathworks.com" class="domain_selector_link" data-country-code="FR" data-subdomain="fr" data-lang="fr" data-default-lang="true" data-selected-text="France" data-recommended-text="France" data-do-not-rewrite="true">France</a> (Français)</li> <li><a href="//uk.mathworks.com" class="domain_selector_link" data-country-code="IE" data-subdomain="uk" data-lang="en" data-do-not-rewrite="true">Ireland</a> (English)</li> <li><a href="//it.mathworks.com" class="domain_selector_link" data-country-code="IT" data-subdomain="it" data-lang="it" data-default-lang="true" data-selected-text="Italia" data-recommended-text="Italia" data-do-not-rewrite="true">Italia</a> (Italiano)</li> <li><a href="//nl.mathworks.com" class="domain_selector_link" data-country-code="LU" data-subdomain="nl" data-lang="en" data-do-not-rewrite="true">Luxembourg</a> (English)</li> </ul> </div> <div class="col-6 col-sm-12 col-lg-6"> <ul class="list-unstyled"> <li><a href="//nl.mathworks.com" class="domain_selector_link" data-country-code="NL" data-subdomain="nl" data-lang="en" data-default-lang="true" data-selected-text="Benelux" data-recommended-text="Netherlands" data-do-not-rewrite="true">Netherlands</a> (English)</li> <li><a href="//se.mathworks.com" class="domain_selector_link" data-country-code="NO" data-subdomain="se" data-lang="en" data-do-not-rewrite="true">Norway</a> (English)</li> <li><a href="//de.mathworks.com" class="domain_selector_link" data-country-code="AT" data-subdomain="de" data-lang="de" data-do-not-rewrite="true">Österreich</a> (Deutsch)</li> <li><a href="//www.mathworks.com" class="domain_selector_link" data-country-code="PT" data-subdomain="www" data-lang="en" data-do-not-rewrite="true">Portugal</a> (English)</li> <li><a href="//se.mathworks.com" class="domain_selector_link" data-country-code="SE" data-subdomain="se" data-lang="en" data-default-lang="true" data-selected-text="Nordic" data-recommended-text="Sweden" data-do-not-rewrite="true">Sweden</a> (English)</li> <li>Switzerland <ul class="list-unstyled add_indent_20"> <li><a href="//ch.mathworks.com" class="domain_selector_link" data-country-code="CH" data-subdomain="ch" data-lang="de" data-selected-text="Schweiz" data-recommended-text="Schweiz" data-do-not-rewrite="true">Deutsch</a></li> <li><a href="//ch.mathworks.com" id="swiss_english" class="domain_selector_link" data-country-code="CH" data-subdomain="ch" data-lang="en" data-default-lang="true" data-selected-text="Switzerland" data-recommended-text="Switzerland" data-do-not-rewrite="true">English</a></li> <li><a href="//ch.mathworks.com" class="domain_selector_link" data-country-code="CH" data-subdomain="ch" data-lang="fr" data-selected-text="Suisse" data-recommended-text="Suisse" data-do-not-rewrite="true">Français</a></li> </ul> </li> <li><a href="//uk.mathworks.com" class="domain_selector_link" data-country-code="GB" data-subdomain="uk" data-lang="en" data-default-lang="true" data-selected-text="United Kingdom" data-recommended-text="United Kingdom" data-do-not-rewrite="true">United Kingdom</a> (English)</li> </ul> </div> </div> </div> <div class="col-12 col-sm-4 col-lg-3"> <p class="h3 add_bottom_rule">Asia Pacific</p> <ul class="list-unstyled"> <li><a href="//au.mathworks.com" class="domain_selector_link" data-country-code="AU" data-subdomain="au" data-lang="en" data-default-lang="true" data-selected-text="Australia" data-recommended-text="Australia" data-do-not-rewrite="true">Australia</a> (English)</li> <li><a href="//in.mathworks.com" class="domain_selector_link" data-country-code="IN" data-subdomain="in" data-lang="en" data-default-lang="true" data-selected-text="India" data-recommended-text="India" data-do-not-rewrite="true">India</a> (English)</li> <li><a href="//au.mathworks.com" class="domain_selector_link" data-country-code="NZ" data-subdomain="au" data-lang="en" data-do-not-rewrite="true">New Zealand</a> (English)</li> <li>中国 <ul class="list-unstyled add_indent_20"> <li><a href="//ww2.mathworks.cn" class="domain_selector_link" data-country-code="CN" data-subdomain="ww2" data-lang="zh" data-default-lang="true" data-selected-text="中国" data-recommended-text="中国" data-do-not-rewrite="true">简体中文</a></li> <li><a href="//ww2.mathworks.cn" class="domain_selector_link" data-country-code="CN" data-subdomain="ww2" data-lang="en" data-default-lang="true" data-selected-text="China" data-recommended-text="China" data-do-not-rewrite="true">English</a></li> </ul> </li> <li><a href="//jp.mathworks.com" class="domain_selector_link" data-country-code="JP" data-subdomain="jp" data-lang="ja" data-default-lang="true" data-selected-text="日本" data-recommended-text="日本" data-do-not-rewrite="true">日本</a> (日本語)</li> <li><a href="//kr.mathworks.com" class="domain_selector_link" data-country-code="KR" data-subdomain="kr" data-lang="ko" data-default-lang="true" data-selected-text="한국" data-recommended-text="한국" data-do-not-rewrite="true">한국</a> (한국어)</li> </ul> </div> </div> <p class="text-center"><a href="#" class="worldwide_link" data-do-not-rewrite="true">Contact your local office</a></p> </div> </div> </div> </div> <link rel="stylesheet" href="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/alert.min.20241106114913842.css" type="text/css"> <script src="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/domainselector.min.20241106114913842.js"></script> </main> </div> </div> <footer id="footer"> <div class="extended_footer" id="extended_footer"> <div class="container-fluid container-lg"> <div><div class="fatFooterParsys iparsys parsys resourceClass-iparsys containsResourceName"><div class="section"><div class="new containsResourceName resourceClass-new"></div> </div><div class="iparys_inherited"><div class="fatFooterParsys iparsys parsys containsResourceName resourceClass-par"><div class="cqColumns containsResourceName section resourceClass-columns"><div class="row "> <div class=" col-lg-3 mb-2 col-12 "><div class="1 parsys containsResourceName resourceClass-parsys"><div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p class="h4 mb-0">MathWorks</p> <p><i>Accelerating the pace of engineering and science</i></p> </div> </div> <div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p class="d-none d-md-block">MathWorks is the leading developer of mathematical computing software for engineers and scientists.</p> </div> </div> <div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p class="d-none d-md-block"><a href="/discovery.html?s_tid=hp_ff_a_discover" data-target="same">Discover…</a></p> </div> </div> </div> </div> <div class=" col-lg-9 col-12 "><div class="2 parsys containsResourceName resourceClass-parsys"><div class="cqColumns containsResourceName section resourceClass-columns"><div class="row row-cols-1 row-cols-md-5 "> <div class=" col "><div class="1 parsys containsResourceName resourceClass-parsys"><div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p class="ef_title"><a href="#ef_products" class="dropdown-toggle" role="button" data-toggle="collapse" data-bs-toggle="collapse" aria-expanded="false" aria-controls="ef_products">Explore Products</a></p> <div class="collapse" id="ef_products"> <ul class="list-unstyled"> <li><a href="/products/matlab.html?s_tid=hp_ff_p_matlab">MATLAB</a></li> <li><a href="/products/simulink.html?s_tid=hp_ff_p_simulink">Simulink</a></li> <li><a href="/products/matlab/student.html?s_tid=hp_ff_p_student">Student Software</a></li> <li><a href="/hardware-support/home.html?s_tid=hp_ff_p_hwsupport">Hardware Support</a></li> <li><a href="/matlabcentral/fileexchange/?s_tid=hp_ff_p_fx">File Exchange</a></li> </ul> </div> </div> </div> </div> </div> <div class=" col "><div class="2 parsys containsResourceName resourceClass-parsys"><div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p class="ef_title"><a href="#ef_buy" role="button" class="dropdown-toggle" data-toggle="collapse" data-bs-toggle="collapse" aria-expanded="false" aria-controls="ef_buy">Try or Buy</a></p> <div class="collapse" id="ef_buy"> <ul class="list-unstyled"> <li><a href="/downloads/web_downloads/?s_tid=hp_ff_t_downloads">Downloads</a></li> <li><a href="/campaigns/products/trials.html?s_tid=hp_ff_p_trial" data-target="same" data-link="lead" data-offerType="trial">Trial Software</a></li> <li><a href="/company/aboutus/contact_us/contact_sales.html?s_tid=hp_ff_t_sales" data-link="lead" data-offerType="Contact Sales">Contact Sales</a></li> <li><a href="/pricing-licensing.html?s_tid=hp_ff_t_pricing" data-link="lead" data-offerType="pl">Pricing and Licensing</a></li> <li><a href="/store/?s_tid=hp_ff_t_buy" data-link="store">How to Buy</a></li> </ul> </div> </div> </div> </div> </div> <div class=" col "><div class="3 parsys containsResourceName resourceClass-parsys"><div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p class="ef_title"><a href="#ef_use" role="button" class="dropdown-toggle" data-toggle="collapse" data-bs-toggle="collapse" aria-expanded="false" aria-controls="ef_use">Learn to Use</a></p> <div class="collapse" id="ef_use"> <ul class="list-unstyled"> <li><a href="/help/?s_tid=hp_ff_l_doc" data-target="same">Documentation</a></li> <li><a href="/support/learn-with-matlab-tutorials.html?s_tid=hp_ff_l_tutorials" data-target="same">Tutorials</a></li> <li><a href="/help/examples.html?s_tid=hp_ff_l_examples" data-target="same">Examples</a></li> <li><a href="/videos.html?s_tid=hp_ff_l_videos">Videos and Webinars</a></li> <li><a href="/learn/training.html?s_tid=hp_ff_l_training">Training</a></li> </ul> </div> </div> </div> </div> </div> <div class=" col "><div class="4 parsys containsResourceName resourceClass-parsys"><div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p class="ef_title"><a href="#ef_support" role="button" class="dropdown-toggle" data-toggle="collapse" data-bs-toggle="collapse" aria-expanded="false" aria-controls="ef_support">Get Support</a></p> <div class="collapse" id="ef_support"> <ul class="list-unstyled"> <li><a href="/help/install/?s_tid=hp_ff_s_install">Installation Help</a></li> <li><a href="/matlabcentral/answers/index?s_tid=hp_ff_s_answers">MATLAB Answers</a></li> <li><a href="/services/consulting.html?s_tid=hp_ff_s_consulting">Consulting</a></li> <li><a href="/licensecenter/?s_tid=hp_ff_s_license">License Center</a></li> <li><a href="/support/contact_us.html?s_tid=hp_ff_s_support">Contact Support</a></li> </ul> </div> </div> </div> </div> </div> <div class=" col "><div class="5 parsys containsResourceName resourceClass-parsys"><div class="text containsResourceName section resourceClass-text"><div class="mw-text "> <p class="ef_title"><a href="#ef_about" role="button" class="dropdown-toggle" data-toggle="collapse" data-bs-toggle="collapse" aria-expanded="false" aria-controls="ef_about">About MathWorks</a></p> <div class="collapse" id="ef_about"> <ul class="list-unstyled"> <li><a href="/company/jobs/opportunities.html?s_tid=hp_ff_a_careers">Careers</a></li> <li><a href="/company/newsroom.html?s_tid=hp_ff_a_newsroom">Newsroom</a></li> <li><a href="/company/aboutus/soc_mission.html?s_tid=hp_ff_a_socialmission">Social Mission</a></li> <li><a href="/company/customer-stories.html?s_tid=hp_ff_a_customerstories">Customer Stories</a></li> <li><a href="/company.html?s_tid=hp_ff_a_company">About MathWorks</a></li> </ul> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> <div class="primary_footer" id="primary_footer"> <div class="container-fluid container-lg"> <div class="row align-items-start"> <div class="col-12 col-md-9"> <nav aria-label="Footer navigation"> <ul class="list-inline" id="countrynav"> <li class="list-inline-item footernav_country"> <button class="btn btn-outline btn_countrynav" id="domainButton" data-bs-toggle="modal" data-bs-target="#country-unselected"> <span class="visually-hidden">Select a Web Site</span> <span class="icon-globe"></span> <span id="countrySelectorButtonText">United States</span> </button> </li> </ul> <div class="footerNavigation footernavigation containsResourceName resourceClass-footernavigation"> <ul class="list-inline " id="footernav" data-privacy="Your Privacy Choices"> <li class="list-inline-item" id="footernav_footernav_patents"> <a href="/company/aboutus/policies_statements/trust-center.html?s_tid=gf_tc"> Trust Center</a> </li> <li class="list-inline-item" id="footernav_footernav_trademarks"> <a href="/company/aboutus/policies_statements/trademarks.html?s_tid=gf_trd"> Trademarks</a> </li> <li class="list-inline-item" id="footernav_footernav_privacy"> <a href="/company/aboutus/policies_statements.html?s_tid=gf_priv"> Privacy Policy</a> </li> <li class="list-inline-item" id="footernav_footernav_piracy"> <a href="/company/aboutus/policies_statements/piracy.html?s_tid=gf_pir"> Preventing Piracy</a> </li> <li class="list-inline-item" id="footernav_footernav_status"> <a href="https://status.mathworks.com/?s_tid=gf_application"> Application Status</a> </li> <li class="list-inline-item" id="footernav_footernav_contactus"> <a href="/company/aboutus/contact_us.html?s_tid=gf_contact"> Contact Us</a> </li> </ul> <script src="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/footernavigation.min.20241106114913842.js"></script> </div> <div class="footerCompanyAddress footercompanyaddress containsResourceName resourceClass-footercompanyaddress"> </div> </nav> <div class="footerParsys iparsys parsys resourceClass-iparsys containsResourceName"><div class="section"><div class="new containsResourceName resourceClass-new"></div> </div><div class="iparys_inherited"><div class="footerParsys iparsys parsys containsResourceName resourceClass-par"></div> </div> </div> <p class="copyright">© 1994-2024 The MathWorks, Inc.</p> </div> <div class="col-12 col-md-3"> <div class="socialmedia float-end" id="socialmedia"> <div><div class="socialMediaIconParsys iparsys parsys resourceClass-iparsys containsResourceName"><div class="section"><div class="new containsResourceName resourceClass-new"></div> </div><div class="iparys_inherited"><div class="socialMediaIconParsys iparsys parsys containsResourceName resourceClass-par"><div class="socialmediaicon containsResourceName resourceClass-socialmediaicon section"> <ul class="list-inline socialmedia_icons "> <li class="list-inline-item"> <a href="https://www.facebook.com/MATLAB" rel="noreferrer" target="_blank"> <img class="ico_facebook" alt="Facebook" width="32" height="32" src="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/images/ico-facebook.20241106114913842.svg"/> </a> </li> <li class="list-inline-item"> <a href="https://x.com/MATLAB" rel="noreferrer" target="_blank"> <img class="ico_twitter" alt="Twitter" width="32" height="32" src="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/images/ico-twitter.20241106114913842.svg"/> </a> </li> <li class="list-inline-item"> <a href="https://www.instagram.com/matlab/" rel="noreferrer" target="_blank"> <img class="ico_instagram" alt="Instagram" width="32" height="32" src="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/images/ico-instagram.20241106114913842.svg"/> </a> </li> <li class="list-inline-item"> <a href="https://www.youtube.com/user/MATLAB" rel="noreferrer" target="_blank"> <img class="ico_youtube" alt="YouTube" width="32" height="32" src="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/images/ico-youtube.20241106114913842.svg"/> </a> </li> <li class="list-inline-item"> <a href="https://www.linkedin.com/company/the-mathworks_2" rel="noreferrer" target="_blank"> <img class="ico_linkedin" alt="LinkedIn" width="32" height="32" src="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/images/ico-linkedin.20241106114913842.svg"/> </a> </li> <li class="list-inline-item"> <a href="/company/rss.html" rel="noreferrer"> <img class="ico_rss" alt="RSS" width="32" height="32" src="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/resources/images/ico-rss.20241106114913842.svg"/> </a> </li> </ul> </div> </div> </div> </div> </div> <p class="text-end mb-0"><em></em></p> </div> </div> </div> </div> </div> </footer> <link rel="stylesheet" href="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/button.min.20241106114913842.css" type="text/css"> <link rel="stylesheet" href="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/downsize.min.20241106114913842.css" type="text/css"> <link rel="stylesheet" href="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/upsize.min.20241106114913842.css" type="text/css"> <link rel="stylesheet" href="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/tags.min.20241106114913842.css" type="text/css"> <link rel="stylesheet" href="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/bs5-footer.min.20241106114913842.css" type="text/css"> <script src="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/akamai.min.20241106114913842.js"></script> <script src="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/substitutepricing.min.20241106114913842.js"></script> <script src="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/domainredirect.min.20241106114913842.js"></script> <script src="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/jquery.min.20241106114913842.js"></script> <script src="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/bootstrap5.min.20241106114913842.js"></script> <script src="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/signinanalytics.min.20241106114913842.js"></script> <script src="/etc.clientlibs/mathworks/clientlibs/customer-ui/templates/common/bs5.min.20241106114913842.js"></script> <script src="/etc.clientlibs/mathworks/clientlibs/customer-ui/components/corporatenav.min.20241106114913842.js"></script> <div class="modal-backdrop fade show" id="corporate_nav_modal"></div> <div id="web-application-footer-assets"></div> <script type="text/javascript" nonce="be97fbdc6377c2a77990a4466456fda1" src="/HGcRZjy8vFUc-oeydYoV/baYiGJNVNh2wu1/FDseAg/MT9eRS/5yCGA"></script></body> </html>