Map: Apply a function to elements in a list

<!DOCTYPE html> <html lang="en" class="_footer-thin _header-thin-only"> <head>  <meta http-equiv="x-ua-compatible" content="ie=edge"> <meta name="viewport" content="width=device-width, initial-scale=1"> <meta charset="utf-8"> <link rel="icon" href="/favicon.ico" sizes="48x48"> <link rel="icon" href="/favicon.svg" sizes="any" type="image/svg+xml"> <link rel="apple-touch-icon" href="/apple-touch-icon.png"> <link rel="manifest" href="/manifest.webmanifest"> <link rel="alternate" hreflang="en" href="https://reference.wolfram.com/language/ref/Map.html.en"> <link rel="alternate" hreflang="ja" href="https://reference.wolfram.com/language/ref/Map.html.ja"> <link rel="alternate" hreflang="zh" href="https://reference.wolfram.com/language/ref/Map.html.zh"> <meta property="og:image" content="https://reference.wolfram.com/share.png"> <meta property="og:type" content="website"> <meta property="og:locale" content="en"> <meta property="og:locale:alternate" content="ja"> <meta property="og:locale:alternate" content="zh"> <meta name="twitter:card" content="summary_large_image"> <meta name="twitter:site" content="@WolframResearch"> <meta name="twitter:image:src" content="https://reference.wolfram.com/share.png"> <link rel="stylesheet" href="//www.wolframcdn.com/fonts/source-sans-pro/1.0/global.css"> <link rel="preload" href="//www.wolframcdn.com/fonts/source-sans-pro/1.0/SourceSansPro-Regular.woff2" as="font" type="font/woff2" crossorigin> <link rel="preload" href="//www.wolframcdn.com/fonts/source-sans-pro/1.0/SourceSansPro-Italic.woff2" as="font" type="font/woff2" crossorigin> <link rel="preload" href="//www.wolframcdn.com/fonts/source-sans-pro/1.0/SourceSansPro-SemiBold.woff2" as="font" type="font/woff2" crossorigin> <link rel="preload" href="//www.wolframcdn.com/fonts/source-sans-pro/1.0/SourceSansPro-SemiBoldItalic.woff2" as="font" type="font/woff2" crossorigin> <link rel="preload" href="//www.wolframcdn.com/fonts/source-sans-pro/1.0/SourceSansPro-Light.woff2" as="font" type="font/woff2" crossorigin> <link rel="preload" href="//www.wolframcdn.com/fonts/source-sans-pro/1.0/SourceSansPro-LightItalic.woff2" as="font" type="font/woff2" crossorigin> <link rel="preload" href="//www.wolframcdn.com/fonts/source-sans-pro/1.0/SourceSansPro-ExtraLight.woff2" as="font" type="font/woff2" crossorigin> <link rel="preload" href="//www.wolframcdn.com/fonts/source-sans-pro/1.0/SourceSansPro-ExtraLightItalic.woff2" as="font" type="font/woff2" crossorigin> <link rel="stylesheet" href="/common/framework/css/framework.en.css"> <link rel="stylesheet" href="/common/framework/css/gui.en.css"> <script src="//www.wolframcdn.com/consent/cookie-consent.js"></script> <script src="/common/javascript/wal/latest/walLoad.js"></script> <script defer src="/common/js/announcements/script.js"></script> <script src="/common/framework/js/head.en.js"></script> <script src="/common/js/jquery/3.7.1/jquery.min.js"></script> <script src="/common/js/jquery/plugins/migrate/3.5.2/jquery.migrate.min.js"></script> <script src="/common/javascript/analytics.js"></script> <script id="_language-picker-options"> var _languagePickerOptions = ` <option disabled selected value="/language/ref/Map.html.en?source=footer">English</option> <option value="/language/ref/Map.html.ja?source=footer">日本語</option> <option value="/language/ref/Map.html.zh?source=footer">简体中文</option> `; </script>  <title>Map: Apply a function to elements in a list—Wolfram Documentation</title> <meta name="buildnumber" content="235"> <meta name="historydata" content="{1, 5,10, , }" /> <meta name="keywords" content="applying functions to lists, applying functions to parts, arrayfun, cellfun, concurrent computation, foreach, map, Map, mapc, mapcan, mapcar, mapcon, mapl, maplist, parallel computation, parallel form of Map, parallelization, parallel map, simultaneous application, structfun, wrapping functions around elements of lists" /> <meta name="synonyms" content="/@" /> <meta name="description" content="Map[f, expr] or f /@ expr applies f to each element on the first level in expr. Map[f, expr, levelspec] applies f to parts of expr specified by levelspec. Map[f] represents an operator form of Map that can be applied to an expression." /> <link rel="stylesheet" href="//www.wolframcdn.com/fonts/source-code-pro/1.0/all.css"> <link rel="stylesheet" href="/language-assets/css/global.css"> <link rel="stylesheet" href="/language-assets/css/iconography.css"> <link rel="stylesheet" href="/language-assets/css/in-out.css"> <link rel="stylesheet" href="/language-assets/css/header-language.css"> <link rel="stylesheet" href="/language-assets/css/icons.css"> <link rel="stylesheet" href="/language-assets/css/entities.css"> <link rel="stylesheet" href="/language-assets/css/language.css"> <link rel="stylesheet" href="/language-assets/css/root-guide-language.css"> <link rel="stylesheet" href="/language-assets/css/special-styles.css"> <link rel="stylesheet" href="/language-assets/css/language-specific.css"> <link rel="stylesheet" href="/language-assets/css/man-page.css"> <link rel="stylesheet" href="/language-assets/css/tables.css"> <link rel="stylesheet" href="/language-assets/css/related-links.css"> <link rel="stylesheet" href="/language-assets/css/footer.css"> <link rel="stylesheet" href="/language-assets/css/guide.css"> <link rel="stylesheet" href="/language-assets/css/technotes.css"> <link rel="stylesheet" href="/language-assets/css/workflows.css"> <link rel="stylesheet" href="/language-assets/css/tooltips.css"> <link rel="stylesheet" href="/common/js/clipboard/2.0/clipboard.css"> <link rel="stylesheet" href="//fonts.googleapis.com/css?family=Roboto">  <script async="true" src="/language-assets/js/temporary.js"></script> <script>var baselang = 'Map.en';</script> </head> <body id="ref" class="function">  <header id="_header"> <div id="_header-grid" class="_page-width"> <h1 id="_header-logo"> <a href="https://www.wolfram.com/?source=nav" data-walid="GUIHeader"><svg width="177" height="37"><use href="#_top-logo"></use><title>WOLFRAM</title></svg></a> </h1> <nav id="_nav-center" class="hide__900"> <div id="_nav-products" class="_each-link"> <a href="https://www.wolfram.com/products/?source=nav" data-walid="GUIHeader" class="_label"><span>Products</span></a> <div class="_dropdown"> <div class="_top"> <div class="flex gap-3 gap-2__1200"> <div class="width-1-2"> <ul class="_large-grid _border"> <li> <a href="https://www.wolfram.com/wolfram-one/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _product-wo"><use href="#_product-wo"></use></svg></div> <div> <div class="_heading">Wolfram|One</div> <p>The definitive Wolfram Language and notebook experience</p> </div> </a> <li> <a href="https://www.wolfram.com/mathematica/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _product-m"><use href="#_product-m"></use></svg></div> <div> <div class="_heading">Mathematica</div> <p>The original technical computing environment</p> </div> </a> <li> <a href="https://www.wolfram.com/notebook-assistant-llm-kit/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _product-wnallm"><use href="#_product-wnallm"></use></svg></div> <div> <div class="_heading">Wolfram Notebook Assistant + LLM Kit</div> <p>All-in-one AI assistance for your Wolfram experience</p> </div> </a> </ul> <ul class="_medium-grid _border"> <li><a href="https://www.wolfram.com/system-modeler/?source=nav" data-walid="GUIHeader">System Modeler</a> <li><a href="https://www.wolfram.com/player/?source=nav" data-walid="GUIHeader">Wolfram Player</a> <li><a href="https://www.wolfram.com/finance-platform/?source=nav" data-walid="GUIHeader">Finance Platform</a> <li><a href="https://www.wolfram.com/engine/?source=nav" data-walid="GUIHeader">Wolfram Engine</a> <li><a href="https://www.wolfram.com/enterprise-private-cloud/?source=nav" data-walid="GUIHeader">Enterprise Private Cloud</a> <li><a href="https://www.wolfram.com/application-server/?source=nav" data-walid="GUIHeader">Application Server</a> <li><a href="https://www.wolfram.com/wolfram-alpha-notebook-edition/?source=nav" data-walid="GUIHeader">Wolfram|Alpha Notebook Edition</a> </ul> <ul class="_medium-grid"> <li><a href="https://www.wolfram.com/cloud-app/?source=nav" data-walid="GUIHeader">Wolfram Cloud App</a> <li><a href="https://www.wolfram.com/player-app/?source=nav" data-walid="GUIHeader">Wolfram Player App</a> </ul> <p class="_more"><a href="https://www.wolfram.com/products/?source=nav#mobile-apps" data-walid="GUIHeader" class="chevron-after red-after">More mobile apps</a></p> </div> <div class="width-1-2 padding-t-3-4"> <h2 class="margin-t-0">Core Technologies of Wolfram Products</h2> <ul class="_small-grid grid-template-columns-2"> <li> <a href="https://www.wolfram.com/language/?source=nav" data-walid="GUIHeader" class="mini-m"> <div><svg class="_icon _product-wl"><use href="#_product-wl"></use></svg></div> <div>Wolfram Language</div> </a> <li> <a href="https://www.wolfram.com/language/core-areas/knowledgebase/?source=nav" data-walid="GUIHeader" class="mini-m"> <div><svg class="_icon _product-cd"><use href="#_product-cd"></use></svg></div> <div>Computable Data</div> </a> <li> <a href="https://www.wolfram.com/notebooks/?source=nav" data-walid="GUIHeader" class="mini-m"> <div><svg class="_icon _product-wn"><use href="#_product-wn"></use></svg></div> <div>Wolfram Notebooks</div> </a> <li> <a href="https://www.wolfram.com/natural-language-understanding/?source=nav" data-walid="GUIHeader" class="mini-m"> <div><svg class="_icon _product-lu"><use href="#_product-lu"></use></svg></div> <div>AI & Linguistic Understanding</div> </a> </ul> <h2>Deployment Options</h2> <ul class="_small-grid grid-template-columns-2"> <li><a href="https://www.wolfram.com/cloud/?source=nav" data-walid="GUIHeader">Wolfram Cloud</a> <li><a href="https://www.wolfram.com/wolframscript/?source=nav" data-walid="GUIHeader">wolframscript</a> <li><a href="https://www.wolfram.com/engine/?source=nav" data-walid="GUIHeader">Wolfram Engine Community Edition</a> <li><a href="https://www.wolfram.com/resources/tools-for-AIs/?source=nav#apis-for-ais" data-walid="GUIHeader">Wolfram LLM API</a> <li><a href="https://www.wolfram.com/wstpserver/?source=nav" data-walid="GUIHeader">WSTPServer</a> <li><a href="https://products.wolframalpha.com/api/?source=nav" data-walid="GUIHeader">Wolfram|Alpha APIs</a> </ul> <h2>From the Community</h2> <ul class="_small-grid grid-template-columns-2"> <li><a href="https://resources.wolframcloud.com/FunctionRepository/?source=nav" data-walid="GUIHeader">Function Repository</a> <li><a href="https://resources.wolframcloud.com/PacletRepository/?source=nav" data-walid="GUIHeader">Community Paclet Repository</a> <li><a href="https://resources.wolframcloud.com/ExampleRepository/?source=nav" data-walid="GUIHeader">Example Repository</a> <li><a href="https://resources.wolframcloud.com/NeuralNetRepository/?source=nav" data-walid="GUIHeader">Neural Net Repository</a> <li><a href="https://resources.wolframcloud.com/PromptRepository/?source=nav" data-walid="GUIHeader">Prompt Repository</a> <li><a href="https://demonstrations.wolfram.com/?source=nav" data-walid="GUIHeader">Wolfram Demonstrations</a> <li><a href="https://datarepository.wolframcloud.com/?source=nav" data-walid="GUIHeader">Data Repository</a> </ul> </div> </div> </div> <div class="_bottom"> <ul class="_page-width"> <li><a href="https://www.wolfram.com/group-organization-licensing/?source=nav" data-walid="GUIHeader"><svg class="_icon _product-gol"><use href="#_product-gol"></use></svg>Group & Organizational Licensing</a> <li><a href="https://www.wolfram.com/products/?source=nav" data-walid="GUIHeader">All Products</a> </ul> </div> </div> </div> <div id="_nav-consulting" class="_each-link"> <a href="https://www.wolframconsulting.com/?source=nav" data-walid="GUIHeader" class="_label"><span>Consulting & Solutions</span></a> <div class="_dropdown"> <div class="_top"> <div class="flex gap-3 gap-2__1200"> <div class="_left width-4-9"> <div><svg class="_icon _consulting-logo fill"><use href="#_consulting-logo"></use></svg></div> <p class="margin-bt-1">We help clients realize the full potential of computational knowledge & intelligence.</p> <ul> <li>Data & Computational Intelligence <li>Model-Based Design <li>Algorithm Development <li>Wolfram|Alpha for Business <li>Blockchain Technology <li>Education Technology <li>Quantum Computation </ul> <p class="margin-t-2 text-align-c"><a href="https://www.wolframconsulting.com/?source=nav" data-walid="GUIHeader" class="_blue-button">WolframConsulting.com</a></p> </div> <div class="_right width-2-7"> <h2 class="margin-t-0">Wolfram Solutions</h2> <ul class="_medium-grid grid-template-columns-1"> <li><a href="https://www.wolfram.com/data-science-consulting/?source=nav" data-walid="GUIHeader">Data Science & AI</a> <li><a href="https://www.wolfram.com/computational-intelligence-in-healthcare/?source=nav" data-walid="GUIHeader">Healthcare Intelligence</a> <li><a href="https://products.wolframalpha.com/enterprise/?source=nav" data-walid="GUIHeader">Enterprise Wolfram|Alpha</a> <li><a href="https://www.wolfram.com/artificial-intelligence/?source=nav" data-walid="GUIHeader">Artificial Intelligence</a> <li><a href="https://www.wolfram.com/sustainable-energy/?source-nav" data-walid="GUIHeader">Sustainable Energy</a> <li><a href="https://www.wolfram.com/solutions/industry/control-systems/?source=nav" data-walid="GUIHeader">Control Systems</a> <li><a href="https://wolframblockchainlabs.com/?source=nav" data-walid="GUIHeader">Blockchain Labs</a> <li><a href="https://www.wolfram.com/biosciences/?source=nav" data-walid="GUIHeader">Biosciences</a> </ul> <p class="_more margin-t-1"><a href="https://www.wolfram.com/solutions/?source=nav" data-walid="GUIHeader" class="chevron-after blue-after">More Wolfram Solutions</a></p> </div> <div class="_right width-2-7"> <h2 class="margin-t-0">Wolfram Solutions For Education</h2> <ul class="_medium-grid grid-template-columns-1"> <li><a href="https://www.wolfram.com/education/research-universities/?source=nav" data-walid="GUIHeader">Research Universities</a> <li><a href="https://www.wolfram.com/education/teaching-universities/?source=nav" data-walid="GUIHeader">Colleges & Teaching Universities</a> <li><a href="https://www.wolfram.com/education/community-colleges/?source=nav" data-walid="GUIHeader">Junior & Community Colleges</a> <li><a href="https://www.wolfram.com/education/high-schools/?source=nav" data-walid="GUIHeader">High Schools</a> <li><a href="https://www.wolfram.com/educational-technology/?source=nav" data-walid="GUIHeader">Educational Technology</a> <li><a href="https://www.computerbasedmath.org/?source=nav" data-walid="GUIHeader">Computer-Based Math</a> </ul> <p class="_more margin-t-1"><a href="https://www.wolfram.com/education/?source=nav" data-walid="GUIHeader" class="chevron-after blue-after">More Solutions for Education</a></p> </div> </div> </div> <div class="_bottom"> <ul class="_page-width"> <li><a href="https://www.wolframconsulting.com/?source=nav#contact-us" data-walid="GUIHeader">Contact Us</a> </ul> </div> </div> </div> <div id="_nav-learning" class="_each-link"> <a href="https://www.wolfram.com/resources/?source=nav" data-walid="GUIHeader" class="_label"><span>Learning<span class="hide__1200"> & Support</span></span></a> <div class="_dropdown"> <div class="_top"> <div class="flex gap-3 heirs-width-1-2 gap-2__1200"> <div class="_left"> <h2 class="margin-t-0">Get Started</h2> <ul class="_large-grid grid-template-columns-1"> <li> <a href="https://www.wolfram.com/language/elementary-introduction/3rd-ed/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-eiwl"><use href="#_learning-eiwl"></use></svg></div> <div> <div class="_heading">Wolfram Language Introduction</div> </div> </a> <li> <a href="https://www.wolfram.com/language/fast-introduction-for-programmers/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-fifp"><use href="#_learning-fifp"></use></svg></div> <div> <div class="_heading">Fast Intro for Programmers</div> </div> </a> <li> <a href="https://www.wolfram.com/language/fast-introduction-for-math-students/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-fifms"><use href="#_learning-fifms"></use></svg></div> <div> <div class="_heading">Fast Intro for Math Students</div> </div> </a> <li> <a href="https://reference.wolfram.com/language/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-wld"><use href="#_learning-wld"></use></svg></div> <div> <div class="_heading">Wolfram Language Documentation</div> </div> </a> </ul> <div class="margin-t-1"> <h2>More Learning</h2> <ul class="_medium-grid grid-template-columns-3 grid-template-columns-2__1200"> <li><a href="https://demonstrations.wolfram.com/?source=nav" data-walid="GUIHeader">Demonstrations</a> <li><a href="https://www.wolfram.com/start/?source=nav" data-walid="GUIHeader">Mini Tutorials</a> <li><a href="https://www.youtube.com/@WolframResearch/?source=nav" data-walid="GUIHeader">YouTube</a> <li><a href="https://www.wolfram.com/books/?source=nav" data-walid="GUIHeader">Books</a> <li><a href="https://education.wolfram.com/programs/?source=nav" data-walid="GUIHeader">Wolfram Schools and Programs</a> <li><a href="https://www.wolfram.com/wolfram-u/courses/wolfram-language/daily-study-groups/?source=nav" data-walid="GUIHeader">Daily Study Groups</a> </ul> </div> </div> <div class="_right"> <h2 class="margin-t-0">Grow Your Skills</h2> <ul class="_large-grid grid-template-columns-1"> <li> <a href="https://www.wolfram.com/wolfram-u/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-wu"><use href="#_learning-wu"></use></svg></div> <div> <div class="_heading">Wolfram U</div> <p>Courses in computing, science, life and more</p> </div> </a> <li> <a href="https://community.wolfram.com/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-c"><use href="#_learning-c"></use></svg></div> <div> <div class="_heading">Community</div> <p>Learn, solve problems and share ideas.</p> </div> </a> <li> <a href="https://blog.wolfram.com/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-bl"><use href="#_learning-bl"></use></svg></div> <div> <div class="_heading">Blog</div> <p>News, views and insights from Wolfram</p> </div> </a> <li> <a href="https://www.wolfram.com/developer/resources/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-rfsd"><use href="#_learning-rfsd"></use></svg></div> <div> <p>Resources for</p> <div class="_heading">Software Developers</div> </div> </a> </ul> <div class="margin-t-1"> <h2>Tech Support</h2> <ul class="_medium-grid grid-template-columns-1"> <li><a href="https://www.wolfram.com/support/contact/?source=nav" data-walid="GUIHeader">Contact Us</a> <li><a href="https://support.wolfram.com/?source=nav" data-walid="GUIHeader">Support FAQs</a> </ul> </div> </div> </div> </div> <div class="_bottom"> <ul class="_page-width"> <li><a href="https://support.wolfram.com/?source=nav" data-walid="GUIHeader">Support FAQs</a> <li><a href="https://www.wolfram.com/support/contact/?source=nav" data-walid="GUIHeader">Contact Us</a> </ul> </div> </div> </div> <div id="_nav-company" class="_each-link"> <a href="https://www.wolfram.com/company/?source=nav" data-walid="GUIHeader" class="_label"><span>Company</span></a> <div class="_dropdown"> <div class="_top"> <div class="flex gap-3 gap-2__1200"> <div class="width-1-3"> <ul class="_large-grid _border"> <li> <a href="https://www.wolfram.com/company/?source=nav" data-walid="GUIHeader" class="align-items-c"> <div><svg class="_icon _company-aw"><use href="#_company-aw"></use></svg></div> <div> <div class="_heading">About Wolfram</div> </div> </a> <li> <a href="https://www.wolfram.com/company/careers/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _company-caw"><use href="#_company-caw"></use></svg></div> <div> <div class="_heading">Career Center</div> </div> </a> <li> <a href="https://www.wolfram.com/resources/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _company-asr"><use href="#_company-asr"></use></svg></div> <div> <div class="_heading">All Sites & Resources</div> </div> </a> </ul> <ul class="_small-grid grid-template-columns-2"> <li><a href="https://www.wolfram.com/connect/?source=nav" data-walid="GUIHeader">Connect & Follow</a> <li><a href="https://www.wolfram.com/company/contact/?source=nav" data-walid="GUIHeader">Contact Us</a> </ul> <h2>Work with Us</h2> <ul class="_small-grid"> <li><a href="https://www.wolfram.com/company/careers/ambassador/?source=nav" data-walid="GUIHeader">Student Ambassador Initiative</a> <li><a href="https://www.wolfram.com/startups/?source=nav" data-walid="GUIHeader">Wolfram for Startups</a> <li><a href="https://www.wolfram.com/company/careers/students/?source=nav" data-walid="GUIHeader">Student Opportunities</a> <li><a href="https://community.wolfram.com/content?curTag=jobs&source=nav" data-walid="GUIHeader">Jobs Using Wolfram Language</a> </ul> </div> <div class="width-1-3"> <h2 class="margin-t-0">Educational Programs for Adults</h2> <ul class="_small-grid"> <li><a href="https://education.wolfram.com/summer-school/?source=nav" data-walid="GUIHeader">Summer School</a> <li><a href="https://education.wolfram.com/winter-school/?source=nav" data-walid="GUIHeader">Winter School</a> </ul> <h2>Educational Programs for Youth</h2> <ul class="_small-grid"> <li><a href="https://education.wolfram.com/middle-school-camp/?source=nav" data-walid="GUIHeader">Middle School Camp</a> <li><a href="https://education.wolfram.com/summer-research-high-school/?source=nav" data-walid="GUIHeader">High School Research Program</a> <li><a href="https://www.computationinitiative.org/computational-adventures/?source=nav" data-walid="GUIHeader">Computational Adventures</a> </ul> <h2>Read</h2> <ul class="_small-grid"> <li><a href="https://writings.stephenwolfram.com/?source=nav" data-walid="GUIHeader">Stephen Wolfram's Writings</a> <li><a href="https://blog.wolfram.com/?source=nav" data-walid="GUIHeader">Wolfram Blog</a> <li><a href="https://www.wolfram.com/books/?source=nav" data-walid="GUIHeader">Wolfram Tech | Books</a> <li><a href="https://www.wolfram-media.com/?source=nav" data-walid="GUIHeader">Wolfram Media</a> <li><a href="https://www.complex-systems.com/?source=nav" data-walid="GUIHeader">Complex Systems</a> </ul> </div> <div class="width-1-3"> <h2 class="margin-t-0 margin-t-1-8__1200">Educational Resources</h2> <ul class="_small-grid"> <li><a href="https://mathworld.wolfram.com/?source=nav" data-walid="GUIHeader">Wolfram MathWorld</a> <li><a href="https://www.wolfram.com/education/stem/?source=nav" data-walid="GUIHeader">Wolfram in STEM/STEAM</a> <li><a href="https://challenges.wolframcloud.com/?source=nav" data-walid="GUIHeader">Wolfram Challenges</a> <li><a href="https://www.wolframalpha.com/pro/problem-generator/?source=nav" data-walid="GUIHeader">Wolfram Problem Generator</a> </ul> <h2>Wolfram Initiatives</h2> <ul class="_small-grid"> <li><a href="https://www.wolframscience.com/?source=nav" data-walid="GUIHeader">Wolfram Science</a> <li><a href="https://www.wolframfoundation.org/?source=nav" data-walid="GUIHeader">Wolfram Foundation</a> <li><a href="https://www.history-of-mathematics.org/?source=nav" data-walid="GUIHeader">History of Mathematics Project</a> </ul> <h2>Events</h2> <ul class="_small-grid"> <li><a href="https://livestreams.stephenwolfram.com/?source=nav" data-walid="GUIHeader">Stephen Wolfram Livestreams</a> <li><a href="https://events.wolfram.com/?source=nav" data-walid="GUIHeader">Online & In-Person Events</a> </ul> </div> </div> </div> <div class="_bottom"> <ul class="_page-width"> <li><a href="https://www.wolfram.com/company/contact/?source=nav" data-walid="GUIHeader">Contact Us</a> <li><a href="https://www.wolfram.com/connect/?source=nav" data-walid="GUIHeader">Connect & Follow</a> </ul> </div> </div> </div> <div id="_nav-alpha" class="_each-link"> <a href="https://www.wolframalpha.com/?source=nav" data-walid="GUIHeader" class="_label" target="_blank"><span>Wolfram|Alpha<svg width="9" height="9"><use href="#_top-wa"></use></svg></span></a> </div> </nav> <nav id="_nav-right"> <div id="_nav-cloud" class="_each-link hide__900"> <a href="https://www.wolframcloud.com/?source=nav" data-walid="GUIHeader" class="_label" target="_blank"><span><svg width="32" height="24"><use href="#_top-cloud"></use><title>Wolfram Cloud</title></svg></span></a> </div> <div id="_nav-user" class="_each-link position-r hide__900"> <a href="https://account.wolfram.com/login/oauth2/sign-in/?source=nav" data-walid="GUIHeader" class="_label" target="_blank"><span><svg width="22" height="25"><use href="#_top-user"></use><title>Your Account</title></svg></span></a> <div class="_dropdown"> <ul class="_dropdown-menu"> <li><a href="https://account.wolfram.com/?source=nav" data-walid="GUIHeader" target="_blank">Your Account</a> <li><a href="https://user.wolfram.com/?source=nav" data-walid="GUIHeader" target="_blank">User Portal</a> <li class="hide show__900"><a href="https://www.wolframcloud.com/?source=nav" data-walid="GUIHeader" target="_blank">Wolfram Cloud</a> </ul> </div> </div> <div id="_nav-search" class="_each-link"> <a href="https://search.wolfram.com/?source=nav" data-walid="GUIHeader" class="_label" target="_blank"><span><svg width="24" height="24"><use href="#_top-search"></use><title>Search</title></svg></span></a> <div class="_dropdown"> <form id="_search-form" action="//search.wolfram.com/" method="get" accept-charset="utf-8" class="no-bfc _page-width"> <div id="_search-wrapper" class="width-full__900"> <label for="_search-input"><svg width="24" height="24"><use href="#_search-magnifier"></use></svg></label> <button type="button" class="close"><svg width="14" height="14"><use href="#_search-x"></use><title>Close</title></svg></button> <span><input type="search" name="query" placeholder="Search across Wolfram sites" autocomplete="off" id="_search-input"/></span> <input type="hidden" name="source" value="GUIHeader" class="cf"/> </div> </form> </div> </div> <div id="_nav-mobile" class="_each-link hide show__900"> <a href="" data-walid="GUIHeader" class="_label"><span><svg width="24" height="24"><use href="#_top-mobile"></use><title>Navigation Menu</title></svg></span></a> <div class="_dropdown"> <ul class="_level-1"> <li id="_mobile-products"><div tabindex="0" class="_level-1-label"><svg><use href="#_mobile-caret"></use></svg>Products</div> <div class="_level-1-content"> <div class="_top"> <ul class="_large-grid _border"> <li> <a href="https://www.wolfram.com/wolfram-one/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _product-wo"><use href="#_product-wo"></use></svg></div> <div><div class="_heading">Wolfram|One</div></div> </a> <li> <a href="https://www.wolfram.com/mathematica/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _product-m"><use href="#_product-m"></use></svg></div> <div><div class="_heading">Mathematica</div></div> </a> <li> <a href="https://www.wolfram.com/notebook-assistant-llm-kit/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _product-wnallm"><use href="#_product-wnallm"></use></svg></div> <div><div class="_heading">Wolfram Notebook Assistant + LLM Kit</div></div> </a> </ul> <ul class="_medium-grid _border"> <li><a href="https://www.wolfram.com/system-modeler/?source=nav" data-walid="GUIHeader">System Modeler</a> <li><a href="https://www.wolfram.com/player/?source=nav" data-walid="GUIHeader">Wolfram Player</a> <li><a href="https://www.wolfram.com/finance-platform/?source=nav" data-walid="GUIHeader">Finance Platform</a> <li><a href="https://www.wolfram.com/wolfram-alpha-notebook-edition/?source=nav" data-walid="GUIHeader">Wolfram|Alpha Notebook Edition</a> <li><a href="https://www.wolfram.com/engine/?source=nav" data-walid="GUIHeader">Wolfram Engine</a> <li><a href="https://www.wolfram.com/enterprise-private-cloud/?source=nav" data-walid="GUIHeader">Enterprise Private Cloud</a> <li><a href="https://www.wolfram.com/application-server/?source=nav" data-walid="GUIHeader">Application Server</a> </ul> <ul class="_medium-grid"> <li><a href="https://www.wolfram.com/cloud-app/?source=nav" data-walid="GUIHeader">Wolfram Cloud App</a> <li><a href="https://www.wolfram.com/player-app/?source=nav" data-walid="GUIHeader">Wolfram Player App</a> </ul> <p class="_more"><a href="https://www.wolfram.com/products/?source=nav#mobile-apps" data-walid="GUIHeader" class="chevron-after red-after">More mobile apps</a></p> </div> <ul class="_level-2"> <li><div tabindex="0" class="_level-2-label"><svg><use href="#_mobile-plus"></use><use href="#_mobile-minus" class="hide"></use></svg>Core Technologies</div> <div class="_level-2-content"> <ul class="_level-2-grid"> <li><a href="https://www.wolfram.com/language/?source=nav" data-walid="GUIHeader">Wolfram Language</a> <li><a href="https://www.wolfram.com/language/core-areas/knowledgebase/?source=nav" data-walid="GUIHeader">Computable Data</a> <li><a href="https://www.wolfram.com/notebooks/?source=nav" data-walid="GUIHeader">Wolfram Notebooks</a> <li><a href="https://www.wolfram.com/natural-language-understanding/?source=nav" data-walid="GUIHeader">AI & Linguistic Understanding</a> </ul> </div> <li><div tabindex="0" class="_level-2-label"><svg><use href="#_mobile-plus"></use><use href="#_mobile-minus" class="hide"></use></svg>Deployment Options</div> <div class="_level-2-content"> <ul class="_level-2-grid"> <li><a href="https://www.wolfram.com/cloud/?source=nav" data-walid="GUIHeader">Wolfram Cloud</a> <li><a href="https://www.wolfram.com/wolframscript/?source=nav" data-walid="GUIHeader">wolframscript</a> <li><a href="https://www.wolfram.com/engine/?source=nav" data-walid="GUIHeader">Wolfram Engine Community Edition</a> <li><a href="https://www.wolfram.com/resources/tools-for-AIs/?source=nav#apis-for-ais" data-walid="GUIHeader">Wolfram LLM API</a> <li><a href="https://www.wolfram.com/wstpserver/?source=nav" data-walid="GUIHeader">WSTPServer</a> <li><a href="https://products.wolframalpha.com/api/?source=nav" data-walid="GUIHeader">Wolfram|Alpha APIs</a> </ul> </div> <li><div tabindex="0" class="_level-2-label"><svg><use href="#_mobile-plus"></use><use href="#_mobile-minus" class="hide"></use></svg>From the Community</div> <div class="_level-2-content"> <ul class="_level-2-grid"> <li><a href="https://resources.wolframcloud.com/FunctionRepository/?source=nav" data-walid="GUIHeader">Function Repository</a> <li><a href="https://resources.wolframcloud.com/PacletRepository/?source=nav" data-walid="GUIHeader">Community Paclet Repository</a> <li><a href="https://resources.wolframcloud.com/ExampleRepository/?source=nav" data-walid="GUIHeader">Example Repository</a> <li><a href="https://resources.wolframcloud.com/NeuralNetRepository/?source=nav" data-walid="GUIHeader">Neural Net Repository</a> <li><a href="https://resources.wolframcloud.com/PromptRepository/?source=nav" data-walid="GUIHeader">Prompt Repository</a> <li><a href="https://demonstrations.wolfram.com/?source=nav" data-walid="GUIHeader">Wolfram Demonstrations</a> <li><a href="https://datarepository.wolframcloud.com/?source=nav" data-walid="GUIHeader">Data Repository</a> </ul> </div> </ul> <div class="_bottom"> <ul class="_page-width"> <li><a href="https://www.wolfram.com/group-organization-licensing/?source=nav" data-walid="GUIHeader"><span class="hide__600"><svg class="_icon _product-gol"><use href="#_product-gol"></use></svg>Group & </span>Organizational Licensing</a> <li><a href="https://www.wolfram.com/products/?source=nav" data-walid="GUIHeader">All Products</a> </ul> </div> </div> <li id="_mobile-consulting"><div tabindex="0" class="_level-1-label"><svg><use href="#_mobile-caret"></use></svg>Consulting & Solutions</div> <div class="_level-1-content"> <div class="_top text-align-c"> <div><svg class="fill-and-center" width="282" height="35"><use href="#_mobile-consulting-logo"></use></svg></div> <p class="margin-bt-1">We help clients realize the full potential of computational knowledge & intelligence.</p> <p class="margin-t-2 text-align-c"><a href="https://www.wolframconsulting.com/?source=nav" data-walid="GUIHeader" class="_blue-button">WolframConsulting.com</a></p> </div> <div class="_middle"> <h2>Wolfram Solutions</h2> <ul class="_medium-grid"> <li><a href="https://www.wolfram.com/data-science-consulting/?source=nav" data-walid="GUIHeader">Data Science & AI</a> <li><a href="https://www.wolfram.com/computational-intelligence-in-healthcare/?source=nav" data-walid="GUIHeader">Healthcare Intelligence</a> <li><a href="https://products.wolframalpha.com/enterprise/?source=nav" data-walid="GUIHeader">Enterprise Wolfram|Alpha</a> <li><a href="https://www.wolfram.com/artificial-intelligence/?source=nav" data-walid="GUIHeader">Artificial Intelligence</a> <li><a href="https://www.wolfram.com/sustainable-energy/?source-nav" data-walid="GUIHeader">Sustainable Energy</a> <li><a href="https://www.wolfram.com/solutions/industry/control-systems/?source=nav" data-walid="GUIHeader">Control Systems</a> <li><a href="https://wolframblockchainlabs.com/?source=nav" data-walid="GUIHeader">Blockchain Labs</a> <li><a href="https://www.wolfram.com/biosciences/?source=nav" data-walid="GUIHeader">Biosciences</a> </ul> <p class="_more margin-t-1"><a href="https://www.wolfram.com/solutions/?source=nav" data-walid="GUIHeader" class="chevron-after blue-after">More Wolfram Solutions</a></p> </div> <div class="_middle"> <h2 class="margin-t-0">Wolfram Solutions For Education</h2> <ul class="_medium-grid"> <li><a href="https://www.wolfram.com/education/research-universities/?source=nav" data-walid="GUIHeader">Research Universities</a> <li><a href="https://www.wolfram.com/education/teaching-universities/?source=nav" data-walid="GUIHeader">Colleges & Teaching Universities</a> <li><a href="https://www.wolfram.com/education/community-colleges/?source=nav" data-walid="GUIHeader">Junior & Community Colleges</a> <li><a href="https://www.wolfram.com/education/high-schools/?source=nav" data-walid="GUIHeader">High Schools</a> <li><a href="https://www.wolfram.com/educational-technology/?source=nav" data-walid="GUIHeader">Educational Technology</a> <li><a href="https://www.computerbasedmath.org/?source=nav" data-walid="GUIHeader">Computer-Based Math</a> </ul> <p class="_more margin-t-1"><a href="https://www.wolfram.com/education/?source=nav" data-walid="GUIHeader" class="chevron-after blue-after">More Solutions for Education</a></p> </div> <div class="_bottom"> <ul class="_page-width"> <li><a href="https://www.wolframconsulting.com/?source=nav#contact-us" data-walid="GUIHeader">Contact Us</a> </ul> </div> </div> <li id="_mobile-learning"><div tabindex="0" class="_level-1-label"><svg><use href="#_mobile-caret"></use></svg>Learning & Support</div> <div class="_level-1-content"> <div class="_top"> <h2 class="margin-t-0">Get Started</h2> <ul class="_large-grid grid-template-columns-1"> <li> <a href="https://www.wolfram.com/language/elementary-introduction/3rd-ed/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-eiwl"><use href="#_learning-eiwl"></use></svg></div> <div> <div class="_heading">Wolfram Language Introduction</div> </div> </a> <li> <a href="https://www.wolfram.com/language/fast-introduction-for-programmers/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-fifp"><use href="#_learning-fifp"></use></svg></div> <div> <div class="_heading">Fast Intro for Programmers</div> </div> </a> <li> <a href="https://www.wolfram.com/language/fast-introduction-for-math-students/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-fifms"><use href="#_learning-fifms"></use></svg></div> <div> <div class="_heading">Fast Intro for Math Students</div> </div> </a> <li> <a href="https://reference.wolfram.com/language/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-wld"><use href="#_learning-wld"></use></svg></div> <div> <div class="_heading">Wolfram Language Documentation</div> </div> </a> </ul> <h2>Grow Your Skills</h2> <ul class="_large-grid grid-template-columns-1"> <li> <a href="https://www.wolfram.com/wolfram-u/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-wu"><use href="#_learning-wu"></use></svg></div> <div> <div class="_heading">Wolfram U</div> <p>Courses in computing, science, life and more</p> </div> </a> <li> <a href="https://community.wolfram.com/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-c"><use href="#_learning-c"></use></svg></div> <div> <div class="_heading">Community</div> <p>Learn, solve problems and share ideas.</p> </div> </a> <li> <a href="https://blog.wolfram.com/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-bl"><use href="#_learning-bl"></use></svg></div> <div> <div class="_heading">Blog</div> <p>News, views and insights from Wolfram</p> </div> </a> <li> <a href="https://www.wolfram.com/developer/resources/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _learning-rfsd"><use href="#_learning-rfsd"></use></svg></div> <div> <p>Resources for</p> <div class="_heading">Software Developers</div> </div> </a> </ul> </div> <ul class="_level-2"> <li><div tabindex="0" class="_level-2-label"><svg><use href="#_mobile-plus"></use><use href="#_mobile-minus" class="hide"></use></svg>Tech Support</div> <div class="_level-2-content"> <ul class="_level-2-grid"> <li><a href="https://www.wolfram.com/support/contact/?source=nav" data-walid="GUIHeader">Contact Us</a> <li><a href="https://support.wolfram.com/?source=nav" data-walid="GUIHeader">Support FAQs</a> </ul> </div> <li><div tabindex="0" class="_level-2-label"><svg><use href="#_mobile-plus"></use><use href="#_mobile-minus" class="hide"></use></svg>More Learning</div> <div class="_level-2-content"> <ul class="_level-2-grid"> <li><a href="https://demonstrations.wolfram.com/?source=nav" data-walid="GUIHeader">Demonstrations</a> <li><a href="https://www.wolfram.com/start/?source=nav" data-walid="GUIHeader">Mini Tutorials</a> <li><a href="https://www.youtube.com/@WolframResearch/?source=nav" data-walid="GUIHeader">YouTube</a> <li><a href="https://www.wolfram.com/books/?source=nav" data-walid="GUIHeader">Books</a> <li><a href="https://education.wolfram.com/programs/?source=nav" data-walid="GUIHeader">Wolfram Schools and Programs</a> <li><a href="https://www.wolfram.com/wolfram-u/courses/wolfram-language/daily-study-groups/?source=nav" data-walid="GUIHeader">Daily Study Groups</a> </ul> </div> </ul> <div class="_bottom"> <ul class="_page-width"> <li><a href="https://support.wolfram.com/?source=nav" data-walid="GUIHeader">Support FAQs</a> <li><a href="https://www.wolfram.com/support/contact/?source=nav" data-walid="GUIHeader">Contact Us</a> </ul> </div> </div> <li id="_mobile-company"><div tabindex="0" class="_level-1-label"><svg><use href="#_mobile-caret"></use></svg>Company</div> <div class="_level-1-content"> <div class="_top"> <ul class="_large-grid _border"> <li> <a href="https://www.wolfram.com/company/?source=nav" data-walid="GUIHeader" class="align-items-c"> <div><svg class="_icon _company-aw"><use href="#_company-aw"></use></svg></div> <div><div class="_heading">About Wolfram</div></div> </a> <li> <a href="https://www.wolfram.com/company/careers/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _company-caw"><use href="#_company-caw"></use></svg></div> <div><div class="_heading">Career Center</div></div> </a> <li> <a href="https://www.wolfram.com/resources/?source=nav" data-walid="GUIHeader"> <div><svg class="_icon _company-asr"><use href="#_company-asr"></use></svg></div> <div><div class="_heading">All Sites & Resources</div></div> </a> </ul> <ul class="_small-grid"> <li><a href="https://www.wolfram.com/connect/?source=nav" data-walid="GUIHeader">Connect & Follow</a> <li><a href="https://www.wolfram.com/company/contact/?source=nav" data-walid="GUIHeader">Contact Us</a> </ul> <h2>Work with Us</h2> <ul class="_small-grid"> <li><a href="https://www.wolfram.com/company/careers/ambassador/?source=nav" data-walid="GUIHeader">Student Ambassador Initiative</a> <li><a href="https://www.wolfram.com/startups/?source=nav" data-walid="GUIHeader">Wolfram for Startups</a> <li><a href="https://www.wolfram.com/company/careers/students/?source=nav" data-walid="GUIHeader">Student Opportunities</a> <li><a href="https://community.wolfram.com/content?curTag=jobs&source=nav" data-walid="GUIHeader">Jobs Using Wolfram Language</a> </ul> <div class="padding-t-3-4"> <h2 class="margin-t-0">Educational Programs for Adults</h2> <ul class="_small-grid"> <li><a href="https://education.wolfram.com/summer-school/?source=nav" data-walid="GUIHeader">Summer School</a> <li><a href="https://education.wolfram.com/winter-school/?source=nav" data-walid="GUIHeader">Winter School</a> </ul> <h2>Educational Programs for Youth</h2> <ul class="_small-grid"> <li><a href="https://education.wolfram.com/middle-school-camp/?source=nav" data-walid="GUIHeader">Middle School Camp</a> <li><a href="https://education.wolfram.com/summer-research-high-school/?source=nav" data-walid="GUIHeader">High School Research Program</a> <li><a href="https://www.computationinitiative.org/computational-adventures/?source=nav" data-walid="GUIHeader">Computational Adventures</a> </ul> <h2>Read</h2> <ul class="_small-grid"> <li><a href="https://writings.stephenwolfram.com/?source=nav" data-walid="GUIHeader">Stephen Wolfram's Writings</a> <li><a href="https://blog.wolfram.com/?source=nav" data-walid="GUIHeader">Wolfram Blog</a> <li><a href="https://www.wolfram.com/books/?source=nav" data-walid="GUIHeader">Wolfram Tech | Books</a> <li><a href="https://www.wolfram-media.com/?source=nav" data-walid="GUIHeader">Wolfram Media</a> <li><a href="https://www.complex-systems.com/?source=nav" data-walid="GUIHeader">Complex Systems</a> </ul> </div> </div> <ul class="_level-2"> <li><div tabindex="0" class="_level-2-label"><svg><use href="#_mobile-plus"></use><use href="#_mobile-minus" class="hide"></use></svg>Educational Resources</div> <div class="_level-2-content"> <ul class="_level-2-grid"> <li><a href="https://mathworld.wolfram.com/?source=nav" data-walid="GUIHeader">Wolfram MathWorld</a> <li><a href="https://www.wolfram.com/education/stem/?source=nav" data-walid="GUIHeader">Wolfram in STEM/STEAM</a> <li><a href="https://challenges.wolframcloud.com/?source=nav" data-walid="GUIHeader">Wolfram Challenges</a> <li><a href="https://www.wolframalpha.com/pro/problem-generator/?source=nav" data-walid="GUIHeader">Wolfram Problem Generator</a> </ul> </div> <li><div tabindex="0" class="_level-2-label"><svg><use href="#_mobile-plus"></use><use href="#_mobile-minus" class="hide"></use></svg>Wolfram Initiatives</div> <div class="_level-2-content"> <ul class="_level-2-grid"> <li><a href="https://www.wolframscience.com/?source=nav" data-walid="GUIHeader">Wolfram Science</a> <li><a href="https://www.wolframfoundation.org/?source=nav" data-walid="GUIHeader">Wolfram Foundation</a> <li><a href="https://www.history-of-mathematics.org/?source=nav" data-walid="GUIHeader">History of Mathematics Project</a> </ul> </div> <li><div tabindex="0" class="_level-2-label"><svg><use href="#_mobile-plus"></use><use href="#_mobile-minus" class="hide"></use></svg>Events</div> <div class="_level-2-content"> <ul class="_level-2-grid"> <li><a href="https://livestreams.stephenwolfram.com/?source=nav" data-walid="GUIHeader">Stephen Wolfram Livestreams</a> <li><a href="https://events.wolfram.com/?source=nav" data-walid="GUIHeader">Online & In-Person Events</a> </ul> </div> </ul> <div class="_bottom"> <ul class="_page-width"> <li><a href="https://www.wolfram.com/company/contact/?source=nav" data-walid="GUIHeader">Contact Us</a> <li><a href="https://www.wolfram.com/connect/?source=nav" data-walid="GUIHeader">Connect & Follow</a> </ul> </div> </div> </ul> <ul class="_level-0"> <li class="_level-wa"><a href="https://www.wolframalpha.com/?source=nav" data-walid="GUIHeader" target="_blank">Wolfram|Alpha<svg width="9" height="9"><use href="#_top-wa"></use></svg></a> <li><a href="https://www.wolframcloud.com/?source=nav" data-walid="GUIHeader" target="_blank">Wolfram Cloud</a> <li><a href="https://account.wolfram.com/?source=nav" data-walid="GUIHeader" target="_blank">Your Account</a> <li><a href="https://user.wolfram.com/?source=nav" data-walid="GUIHeader" target="_blank">User Portal</a> </ul> </div> </div> </nav> </div> </header> <div id="_dimmer" class="hide"></div> <noscript id="_noscript" class="remove__ready"> <div> <div><svg class="_noscript-warning"><use href="#_noscript-warning"></use></svg></div> <div>Enable JavaScript to interact with content and submit forms on Wolfram websites. <a href="http://www.enable-javascript.com/" target="_blank" data-walid="GUIFooter" class="chevron-after">Learn how</a></div> </div> </noscript> <div style="height: 0; width: 0; position: absolute; visibility: hidden; top: -999999999999px;"> <svg xmlns="http://www.w3.org/2000/svg"> <g id="_top-icons"> <symbol id="_top-logo" viewBox="0 0 183 38.92"> <g> <path fill="#fff" d="M42.62,9.63h4.87l2.25,12.52,3.33-12.52h4.23l3.96,12.79,2.34-12.79h4.6l-3.96,18.83h-5.32l-3.51-11.71-3.6,11.71h-5.59l-3.6-18.83Z"/> <path fill="#fff" d="M183,28.46h-4.87l-2.25-12.61-3.33,12.61h-4.23l-3.96-12.79-2.34,12.79h-4.6l3.96-18.83h5.32l3.51,11.71,3.6-11.71h5.59l3.6,18.83Z"/> <path fill="#fff" d="M78.39,9.27c6.13,0,9.28,3.69,9.28,9.73s-3.24,9.73-9.28,9.73-9.28-3.78-9.28-9.73c0-6.04,3.15-9.73,9.28-9.73Zm0,15.77c2.97,0,4.23-2.88,4.23-6.04s-1.17-6.04-4.23-6.04-4.23,2.7-4.23,6.04c.09,3.15,1.26,6.04,4.23,6.04Z"/> <path fill="#fff" d="M90.46,9.63h4.96v15.04h7.66v3.69h-12.61V9.63Z"/> <path fill="#fff" d="M105.15,9.63h12.43v3.51h-7.48v4.14h7.12v3.51h-7.12v7.57h-4.96s0-18.74,0-18.74Z"/> <path fill="#fff" d="M120.2,9.63h8.83c3.33,0,5.95,1.53,5.95,4.77,0,2.52-1.17,4.14-3.6,4.77h0c1.62,.45,1.71,1.89,2.61,4.14l1.8,5.14h-5.14l-1.08-3.42c-.99-3.24-1.62-4.05-3.51-4.05h-1.08v7.39h-4.96V9.63h.18Zm4.87,7.84h1.26c1.62,0,3.6-.09,3.6-2.16,0-1.71-1.71-2.07-3.6-2.07h-1.26v4.23Z"/> <path fill="#fff" d="M143.35,9.63h6.04l7.12,18.83h-5.41l-1.35-4.05h-6.94l-1.44,4.05h-5.05l7.03-18.83Zm3.06,3.87h0l-2.43,7.39h4.69l-2.25-7.39Z"/> </g> <path fill="#d10" d="M31.81,19.46l5.41-6.04-7.93-1.71,.81-8.02-7.39,3.24L18.65,0l-4.05,6.94L7.12,3.69l.81,8.02L0,13.42l5.41,6.04L0,25.5l7.93,1.71-.81,8.02,7.39-3.24,4.05,6.94,4.05-6.94,7.39,3.24-.81-8.02,7.93-1.71-5.32-6.04Zm1.35,3.87l-3.51-1.17-2.43-3.15,3.15,1.17,2.79,3.15Zm-11.53,7.48l-2.25,3.78v-3.96l2.34-3.33-.09,3.51Zm-5.23-19.73l-3.78-1.35-2.16-2.97,3.96,1.71,1.98,2.61Zm6.49-2.52l3.96-1.71-2.16,2.97-3.78,1.35,1.98-2.61Zm4.78,3.51l-1.89,2.7,.09-4.14,2.25-3.06-.45,4.5Zm-9.01,17.03l-2.97-4.32,2.97-4.05,2.97,4.05-2.97,4.32Zm-5.59-12.34l-.18-5.23,4.96,1.8v5.14l-4.78-1.71Zm6.31-3.51l4.96-1.8-.18,5.32-4.78,1.62v-5.14Zm-9.82-1.17l-.45-4.41,2.25,3.06,.09,4.14-1.89-2.79Zm7.84,7.75l-2.97,4.05-5.05-1.53,3.24-4.14,4.78,1.62Zm-1.89,7.48l2.34,3.33v3.96l-2.25-3.78-.09-3.51Zm4.32-7.48l4.78-1.62,3.24,4.14-5.05,1.53-2.97-4.05Zm14.42-5.41l-3.69,4.14-4.42-1.62,2.61-3.78,5.5,1.26Zm-12.79-6.58l-2.79,3.6-2.79-3.6,2.79-4.86,2.79,4.86ZM2.97,14.32l5.5-1.17,2.61,3.78-4.42,1.62-3.69-4.23Zm3.96,5.77l3.15-1.17-2.52,3.24-3.6,1.26,2.97-3.33Zm-2.61,4.77l3.69-1.26,3.96,1.17-3.24,.99-4.42-.9Zm5.14,2.34l4.51-1.44,.09,4.77-5.14,2.25,.54-5.59Zm13.7,3.33l.09-4.77,4.51,1.44,.54,5.59-5.14-2.25Zm5.32-4.68l-3.33-1.08,3.96-1.17,3.69,1.26-4.32,.99Z"/> </symbol> <symbol id="_top-wa" viewBox="0 0 9 9"> <path fill="currentColor" d="M2.91,0c-.34,0-.56,.23-.56,.56,0,.39,.22,.62,.56,.62H6.99L.17,7.99c-.22,.23-.22,.56,0,.79,.28,.28,.61,.28,.84,.06L7.83,2.03V6.14c0,.34,.22,.56,.56,.56,.39,0,.61-.23,.61-.56V0H2.91Z"/> </symbol> <symbol id="_top-cloud" viewBox="0 0 31 24"> <path fill="currentColor" d="M16.26,24c-1.19,0-2.38-.33-3.58-1.09-.43-.33-.87-.76-1.19-1.09-.11,0-.33,.11-.43,.11-3.36,.44-6.18-1.09-6.61-3.71v-.44c-2.71-.98-4.44-3.38-4.44-6.11,0-3.6,3.03-6.33,6.83-6.66,.22-1.64,1.08-2.84,2.28-3.71C10.51,.21,12.47-.33,14.42,.21c1.08,.22,2.06,.65,3.03,1.2,1.41-.44,3.03-.44,4.66,0,1.84,.76,3.25,2.18,4.12,4.15,2.71,.33,4.77,2.4,4.77,5.13,0,1.2-.43,2.4-1.3,3.27,.43,.98,.76,1.96,.43,3.06-.65,2.95-4.23,4.69-8.13,3.82h-.22c-.98,1.64-2.38,2.62-4.12,2.95-.43,.11-.98,.22-1.41,.22Zm-3.9-4.47l.33,.44c.33,.44,.76,.87,1.19,1.2,.98,.76,2.17,.98,3.36,.76,1.3-.22,2.6-1.2,3.25-2.62l.33-.65,.76,.11c.22,.11,.43,.11,.76,.22,2.82,.65,5.64-.44,5.96-2.29,.22-.87-.22-1.75-.65-2.18l-.43-.76,.65-.44c.76-.65,1.19-1.64,1.19-2.4,0-1.85-1.63-3.27-3.58-3.27h-.76l-.11-.55c-.43-2.07-1.73-3.27-3.25-3.93-1.19-.44-2.6-.33-3.79,.11l-.43,.22-.43-.33c-.76-.65-1.73-1.09-2.71-1.2-1.41-.22-2.93,0-4.01,.87-.87,.76-1.41,1.85-1.63,3.16l-.11,.87h-1.19c-2.93,0-5.31,2.07-5.31,4.8,0,2.07,1.63,4.04,3.9,4.47l.87,.22-.22,.87c-.11,.22-.11,.44,0,.65,.22,1.42,2.28,2.4,4.44,2.07,.33,0,.65-.11,.87-.22l.76-.22Z"/> <path fill="currentColor" d="M15.61,19.92l-1.75-3-3.08,1.34,.31-3.41-3.39-.72,2.26-2.59-2.26-2.48,3.39-.72-.31-3.41,3.08,1.34,1.75-3,1.75,3,3.08-1.34-.31,3.41,3.39,.72-2.26,2.59,2.26,2.59-3.39,.72,.31,3.41-3.08-1.34-1.75,2.9Zm.41-3.72v.93l.62-.93v-.83l-.62,.83Zm-1.54-.1l.62,.93v-.83l-.62-.83v.72Zm3.08-.21l1.75,.72-.21-1.86-1.54-.41v1.55Zm-5.55-1.14l-.21,1.86,1.75-.72v-1.66l-1.54,.52Zm2.47-1.03l.92,1.45,.92-1.34-.92-1.45-.92,1.34Zm4.32,0l.72,.21,1.13-.21-.82-.31-1.03,.31Zm-8.32,0l1.13,.21,.72-.21-1.03-.31-.82,.31Zm5.86-1.97l.92,1.34,1.64-.41-1.03-1.34-1.54,.41Zm-4.21,.83l1.64,.41,.92-1.34-1.64-.62-.92,1.55Zm7.91-.1l.72,.21-.72-.83-.72-.21,.72,.83Zm-9.04-.52l-.72,.72,.82-.21,.62-.72-.72,.21Zm7.91-1.55l1.54,.62,1.23-1.34-1.95-.31-.82,1.03Zm-9.35-.83l1.23,1.34,1.54-.62-.92-1.14-1.85,.41Zm6.47-.52v1.76l1.64-.62v-1.66l-1.64,.52Zm-2.57,1.24l1.64,.62v-1.86l-1.64-.62v1.86Zm-1.34-1.86l.41,.52v-1.03l-.41-.72v1.24Zm6.58-.41v1.03l.41-.62,.1-1.14-.51,.72Zm-4.01-1.24l.92,1.14,.82-1.14-.92-1.66-.82,1.66Zm-1.44,.72l.92,.31-.31-.41-.92-.52,.31,.62Zm4.11-.31l-.31,.41,.92-.31,.51-.52-1.13,.41Z"/> </symbol> <symbol id="_top-user" viewBox="0 0 21 24"> <path fill="currentColor" d="M17.77,14.77c-.58-.23-1.17-.58-1.87-.69-.93-.35-1.4-.46-1.4-.69,.12-.58,.47-1.27,.7-1.73,.82-1.38,1.28-2.88,1.4-4.5,0-1.96-.7-3.81-1.98-5.31C13.57,.7,12.05,.01,10.42,.01c-1.87-.12-3.62,.69-4.79,2.08s-1.75,3.23-1.52,4.96c.12,1.73,.82,3.46,1.75,4.84,.35,.35,.47,.92,.58,1.38,0,.23-.35,.35-1.4,.69l-1.75,.69C1.08,15.81,.38,18.46,.03,20.42c-.12,.92,.12,1.85,.82,2.54,.58,.69,1.52,1.04,2.33,1.04h14.59c.93,0,1.87-.46,2.45-1.15s.93-1.61,.7-2.65c-.35-2.65-1.4-4.61-3.15-5.42Zm.82,6.69c-.12,.23-.35,.35-.58,.35H3.3c-.23,0-.47-.12-.58-.35-.23-.23-.23-.46-.23-.81,.12-1.27,.7-3.34,1.98-4.04,.47-.23,.93-.46,1.52-.58,1.28-.46,2.92-1.04,2.92-3v-.12c-.12-.81-.47-1.73-.93-2.42-.82-1.15-1.28-2.54-1.4-4.04-.12-1.15,.23-2.31,.93-3.11,.82-.92,1.98-1.27,3.15-1.27,.93,0,1.75,.46,2.33,1.15,.82,.92,1.4,2.19,1.4,3.46-.12,1.27-.47,2.54-1.17,3.69-.47,.81-.82,1.61-1.05,2.54v.23c0,1.96,1.75,2.54,3.04,3,.47,.12,1.05,.35,1.52,.58,1.4,.69,1.87,2.77,2.1,3.92,0,.35-.12,.69-.23,.81Z"/> </symbol> <symbol id="_top-search" viewBox="0 0 24 24"> <path fill="currentColor" d="M23.66,21.85l-6.46-6.45c3.23-4.18,2.51-10.15-1.67-13.49C11.34-1.19,5.24-.47,2.01,3.71S-.5,13.85,3.69,17.2c3.47,2.63,8.25,2.63,11.72,0l6.46,6.45c.48,.48,1.2,.48,1.67,0,.6-.6,.6-1.31,.12-1.79ZM2.49,9.56c0-3.94,3.23-7.16,7.17-7.16s7.17,3.22,7.17,7.16-3.23,7.16-7.17,7.16-7.17-3.1-7.17-7.16Z"/> </symbol> <symbol id="_top-mobile" viewBox="0 0 43.95 40.06"> <rect width="43.95" height="8.02" fill="currentColor"/> <rect y="32.04" width="43.95" height="8.02" fill="currentColor"/> <rect y="16.1" width="43.95" height="8.02" fill="currentColor"/> </symbol> </g> <g id="_product-icons"> <symbol id="_product-wo" viewBox="0 0 35 35"> <rect width="35" height="35" rx="7" ry="7" fill="#d10"/> <polygon id="e" data-name="w1spikey-outline" points="26.86 17.5 30.7 13.27 25.06 12.06 25.64 6.42 20.35 8.7 17.44 3.81 14.53 8.7 9.24 6.42 9.82 12.06 4.18 13.27 8.02 17.5 4.18 21.73 9.82 22.94 9.24 28.57 14.53 26.3 14.87 26.88 14.87 21.14 13.55 22.32 12.41 21.04 16.58 17.32 16.58 29.75 17.44 31.19 18.29 29.75 18.29 13.5 11.27 19.77 10.13 18.49 20.01 9.68 20.01 26.88 20.35 26.3 25.63 28.58 25.06 22.94 30.7 21.73 26.86 17.5" fill="#fff"/> </symbol> <symbol id="_product-m" viewBox="0 0 35 35"> <rect width="35" height="35" rx="7" ry="7" fill="#d10"/> <path d="M21.96,15.95c-.64-1.82,.16-4.78,.16-4.78,0,0-2.72,1.58-4.71,1.58-1.98,0-4.55-1.58-4.55-1.58,0,0,.67,2.93,.1,4.81-.58,1.88-2.96,3.99-2.96,3.99,0,0,3.09,.28,4.59,1.32s2.89,4.11,2.89,4.11c0,0,.93-2.79,2.76-4.07,1.84-1.27,4.72-1.37,4.72-1.37,0,0-2.38-2.19-3.02-4.02Zm-2.39,4.4c-1.29,.97-2.08,2.61-2.08,2.61,0,0-.91-1.71-2.16-2.65-1.25-.94-3.05-1.15-3.05-1.15,0,0,1.28-1,1.82-2.83,.54-1.83,.21-3.26,.21-3.26,0,0,1.1,.84,3.13,.83,2.03,0,3.33-.83,3.33-.83,0,0-.45,1.89,.08,3.23,.53,1.35,1.88,2.87,1.88,2.87,0,0-1.86,.2-3.16,1.17Zm.06-3.62c.33,.93,1.22,1.88,1.22,1.88,0,0-1.07,.25-1.94,.83-.87,.57-1.41,1.59-1.41,1.59,0,0-.55-.92-1.46-1.58s-1.9-.83-1.9-.83c0,0,.76-.93,1.09-1.95s.21-2.03,.21-2.03c0,0,1.05,.43,2.02,.44,.98,0,2.11-.44,2.11-.44,0,0-.27,1.16,.07,2.1Zm11.48,5.19l-3.94-4.42,3.94-4.42-5.79-1.26,.59-5.89-5.42,2.38-2.99-5.11-2.99,5.11-5.42-2.38,.59,5.89-5.79,1.26,3.94,4.42-3.94,4.42,5.79,1.26-.59,5.89,5.42-2.38,2.99,5.11,2.99-5.11,5.42,2.38-.59-5.89,5.79-1.26Zm-13.61,6.08s-1.79-4.59-3.56-5.78c-1.76-1.19-6.41-1.46-6.41-1.46,0,0,3.56-2.82,4.26-5.32s-.45-6.41-.45-6.41c0,0,3.47,2.51,6.06,2.51s6.28-2.51,6.28-2.51c0,0-.98,5.38-.64,6.51,.35,1.14,4.44,5.21,4.44,5.21,0,0-5.6,.74-6.6,1.47-1,.72-3.38,5.78-3.38,5.78Z" fill="#fff"/> </symbol> <symbol id="_product-wnallm" viewBox="0 0 35 35"> <rect width="35" height="35" rx="7" ry="7" fill="#d10"></rect> <path d="M17.5,6.6l.7,1.2,1.6,2.7,2.9-1.3,1.2-.5v1.4c-.1,0-.4,3.1-.4,3.1l3.1.7,1.3.3-.9,1-2.1,2.3h0l2.1,2.3.9,1-1.3.3-3.1.7.3,3.1v1.4c.1,0-1.1-.5-1.1-.5l-2.9-1.3-1.6,2.7-.7,1.2-.7-1.2-1.6-2.7-2.9,1.3-1.2.5v-1.4c.1,0,.4-3.1.4-3.1l-3.1-.7-1.3-.3.9-1,2.1-2.3-2.1-2.3-.9-1,1.3-.3,3.1-.7-.3-3.1v-1.4c-.1,0,1.1.5,1.1.5l2.9,1.3,1.6-2.7.7-1.2M17.5,3.1l-1.2,2.1-.7,1.3-1,1.8-1.9-.8-1.3-.6-2.2-1,.2,2.4v1.5c.1,0,.3,2.1.3,2.1l-2,.4-1.4.3-2.4.5,1.6,1.8,1,1.1,1.4,1.5-1.4,1.5-1,1.1-1.6,1.8,2.4.5,1.4.3,2,.4-.2,2.1v1.5c-.1,0-.4,2.4-.4,2.4l2.2-1,1.3-.6,1.9-.8,1,1.8.7,1.3,1.2,2.1,1.2-2.1.7-1.3,1-1.8,1.9.8,1.3.6,2.2,1-.2-2.4v-1.5c-.1,0-.3-2.1-.3-2.1l2-.4,1.4-.3,2.4-.5-1.6-1.8-1-1.1-1.4-1.5,1.4-1.5,1-1.1,1.6-1.8-2.4-.5-1.4-.3-2-.4.2-2.1v-1.5c.1,0,.4-2.4.4-2.4l-2.2,1-1.3.6-1.9.8-1-1.8-.7-1.3-1.2-2.1h0Z" fill="#fff"></path> <path d="M12.2,13.9v7.1h3.1v2.7l3.5-2.7h4.1v-7.1h-10.7ZM13.9,15.7h2.4v1.3h-2.4v-1.3ZM19.3,19.3h-5.3v-1.3h5.3v1.3ZM21.1,17.1h-3.8v-1.3h3.8v1.3Z" fill="#fff"></path> </symbol> <symbol id="_product-wl" viewBox="0 0 20 20"> <path d="M17.07 2.93C15.19 1.05 12.65 0 10 0S4.8 1.05 2.93 2.93C1.05 4.8 0 7.35 0 10s1.05 5.2 2.93 7.07C4.81 18.95 7.35 20 10 20s5.2-1.05 7.07-2.93C18.95 15.19 20 12.65 20 10s-1.05-5.2-2.93-7.07ZM3.63 16.37a8.5 8.5 0 0 1-.78-.91c.76-3.24 1.71-7.1 3.23-8.25.79-1.38 1.02-3.43 2.46-4.5.36 1.07.92 3.3 1.3 4.37 1.69 1.69 4.25 3.79 5.96 4.66.18.1.41.82.41.82l-.69.87-7.37-.74c-.64-.05-1.25 0-2.02.13.36-.9 1.13-1.61 1.13-1.61s-.72-.43-1.25-.51c.15-.36.56-.82.66-.95-.2.08-1.69.74-1.84 1.3.72.18 1.23.41 1.23.41s-.79.79-.95 2.17c0 0 2.35-.36 4.12-.13.05.03.08.03.1.03l.92.03 2.92 4.86c-1.01.38-2.08.59-3.18.59-2.39 0-4.68-.95-6.37-2.64ZM10 5.58c.69-.67.79-.77 1.46-1.41.05 1.28.03 1.94-.05 3.5-.38-.38-1.15-.87-1.15-.87s-.15-.9-.26-1.23Zm6.37 10.79c-.48.48-1.02.9-1.59 1.26l-3.09-3.84 2.56.28s1.23.13 1.51 0c.26-.1 1.64-2.05 1.64-2.05s-3.96-2.51-5.32-3.89c.15-2.33-.18-5.42-.18-5.4-1 1-1.13 1.15-2.12 2.07-.43-1.41-.64-1.89-1.07-3.3-1.3 1.07-2.3 2.89-3.02 5.01-1.64 1.82-2.83 4.83-3.77 7.39a8.908 8.908 0 0 1-.91-3.91c0-2.39.95-4.68 2.64-6.37a9.007 9.007 0 0 1 12.72.02 9.007 9.007 0 0 1 0 12.74Z" fill="#fff"/> <path d="M10.97 10.64c.46-.13.51-.15.97-.28-.59-.43-1.23-.9-2.1-.77-.08.23-.15.41-.2.67.41-.05.84.1 1.33.38Z" fill="#fff"/> </symbol> <symbol id="_product-cd" viewBox="0 0 20 19.11"> <path fill="#fff" d="M5.4 10.16h1.2v5.6H5.4v-5.6Zm2-2.4h1.2v8H7.4v-8Zm2 4.8h1.2v3.2H9.4v-3.2Zm2-3.2h1.2v6.4h-1.2v-6.4Zm2 2h1.2v4.4h-1.2v-4.4Z"/> <path fill="#fff" d="M1.4 17.36h17.2v.8H1.4v-.8Zm14-9.6h1.2v8h-1.2v-8Zm-12.8 8.4h14.8v.8H2.6v-.8ZM10 .96l-9 4.4v.8h18v-.8l-9-4.4Zm-7 4.4 7-3.4 7 3.4H3Zm11.6 1.2h2.8v.8h-2.8v-.8ZM3.4 7.76h1.2v8H3.4v-8Zm-.8-1.2h2.8v.8H2.6v-.8Z"/> </symbol> <symbol id="_product-wn" viewBox="0 0 20 21.25"> <path fill="#fff" d="M17.31 1.06H3.81c-.73 0-1.35.47-1.58 1.12H1V3.3h1.12v1.12H1v1.12h1.12v1.12H1v1.12h1.12V8.9H1v1.12h1.12v1.12H1v1.12h1.12v1.12H1v1.12h1.12v1.12H1v1.12h1.12v1.12H1v1.12h1.23c.23.65.85 1.12 1.58 1.12h13.5c.93 0 1.69-.76 1.69-1.69V2.75c0-.93-.76-1.69-1.69-1.69Zm.56 17.44c0 .31-.25.56-.56.56H3.81a.56.56 0 0 1-.56-.56V2.75c0-.31.25-.56.56-.56h13.5c.31 0 .56.25.56.56V18.5ZM14.26 7.94l.28-2.78-2.57 1.12-1.42-2.41-1.42 2.41-2.57-1.12.28 2.78-2.74.59 1.87 2.09-1.87 2.09 2.74.6-.28 2.78 2.57-1.12 1.42 2.41 1.42-2.41 2.57 1.12-.28-2.78 2.74-.59-1.87-2.09L17 8.54l-2.74-.6Zm-2.22-.95 1.07-.47-.56.75-1.02.36.5-.64Zm1.65-.11-.12 1.2-.5.7.03-1.12.59-.79Zm-1.27 1.15-.04 1.61-1.48.5V8.57l1.52-.54ZM10.56 5.2l.87 1.48-.87 1.1-.87-1.1.87-1.48Zm-.34 3.37v1.57l-1.48-.5-.04-1.61 1.52.54ZM9.07 6.98l.5.64-1.02-.36-.56-.75 1.07.47Zm-1.06.68.03 1.12-.5-.7-.12-1.2.59.79ZM5.38 8.94l1.69-.37.81 1.14-1.35.5-1.14-1.28Zm1.24 1.96.8-.3-.65.84-.92.31.77-.86ZM6 12.42l.98-.33 1.08.32-.87.27L6 12.42Zm1.35 2.57.17-1.71 1.37-.43.03 1.45-1.58.69ZM9.09 12l-1.55-.45.98-1.27 1.48.5-.91 1.23Zm1.12 3.45-.6-1.03-.02-.91.63.91v1.03Zm-.58-3.05.91-1.23.91 1.23-.91 1.33-.91-1.33Zm1.85 2.02-.6 1.03v-1.03l.63-.91-.02.91Zm-.39-3.65 1.48-.5.98 1.27-1.55.45-.91-1.23Zm1.07 3.53.04-1.45 1.37.43.17 1.71-1.58-.69Zm1.74-1.62-.87-.27 1.08-.32.98.33-1.19.26Zm1.35-.92-.92-.31-.65-.84.8.3.77.86Zm-.67-1.54-1.35-.5.81-1.14 1.69.37-1.14 1.28Z"/> </symbol> <symbol id="_product-lu" viewBox="0 0 20 17.21"> <path fill="#fff" d="M3.46 10.48V9.05H1.44V1.44h10.33v2.35h1.44V1.16c0-.64-.52-1.16-1.16-1.16H1.16C.52 0 0 .52 0 1.16v8.16c0 .64.52 1.16 1.16 1.16h1v2.89l3.52-2.89h1.47V9.04H5.22l-1.74 1.43Z"/> <path fill="#fff" d="M19.09 3.87v-.03H8.45c-.64 0-1.16.52-1.16 1.16v8.16c0 .64.52 1.16 1.16 1.16h5.87l3.52 2.89v-2.89h1c.64 0 1.16-.52 1.16-1.16V5c0-.55-.39-1.02-.91-1.13Zm-.38 1.41h-.04.04Zm-2.17 7.61v1.43l-1.74-1.43H8.74V5.27h9.83v7.61h-2.02Z"/> </symbol> <symbol id="_product-gol" viewbox="0 0 26 20"> <path d="M25.73,17s0,0,0,0c-.06-.16-.12-.31-.19-.45-.01-.02-.02-.05-.03-.07-.14-.29-.3-.54-.45-.76-.01-.02-.02-.03-.03-.05-.16-.22-.31-.39-.44-.53-.01-.01-.02-.02-.03-.03-.13-.13-.22-.23-.28-.28,0,0-.01-.01-.02-.02-.02-.02-.03-.03-.03-.03,0,0-.04-.02-.1-.04-.14-.05-.4-.16-.74-.3-.06-.02-.12-.05-.18-.07-.04-.02-.08-.03-.12-.05-.04-.02-.09-.03-.13-.05-.09-.04-.18-.07-.28-.11,0,0-.01,0-.02,0-.08-.03-.16-.06-.24-.1-.06-.03-.13-.05-.19-.08-.21-.08-.42-.17-.63-.25-.04-.02-.08-.03-.13-.05-.07-.03-.15-.06-.22-.09-.04-.01-.07-.03-.11-.04-.07-.03-.13-.05-.2-.08-.04-.02-.08-.03-.12-.05-.07-.03-.14-.06-.21-.08-.31-.12-.54-.21-.65-.25-.55-.2-.6-2.65-.29-2.85,.3-.2,.95-1.16,1.04-2.76l.29-.15,.19-1.46-.17-.11h-.24l.11-2.46h0s0-.06,0-.16c0,0,0-.01,0-.02,0-1.49-1.36-2.74-3.19-3.06-.3-.05-.61-.08-.93-.08-.02,0-.04,0-.06,0s-.04,0-.06,0c-.32,0-.63,.03-.93,.08-1.83,.32-3.19,1.57-3.19,3.06,0,0,0,0,0,.02,0,.1,0,.16,0,.16h0l.11,2.46h-.24l-.17,.11,.19,1.46,.29,.15c.09,1.6,.74,2.56,1.04,2.76,.3,.2,.26,2.65-.29,2.85-.11,.04-.35,.13-.65,.25-.07,.03-.14,.05-.21,.08-.04,.02-.08,.03-.12,.05-.07,.03-.13,.05-.2,.08-.03,.01-.06,.02-.09,.04-.08,.03-.17,.07-.26,.1-.03,.01-.05,.02-.08,.03-.22,.09-.45,.18-.68,.27-.04,.02-.09,.03-.13,.05-.09,.04-.18,.07-.27,.11,0,0-.01,0-.02,0-.1,.04-.2,.08-.3,.12-.02,0-.05,.02-.07,.03-.07,.03-.14,.06-.21,.08-.04,.02-.08,.03-.12,.05-.35,.14-.63,.25-.76,.3-.05,.02-.09,.03-.09,.03,0,0-.01,.01-.03,.03,0,0,0,0-.02,.02-.06,.05-.15,.14-.28,.28-.01,.01-.02,.02-.03,.03-.13,.14-.28,.32-.43,.53-.01,.02-.02,.03-.04,.05-.16,.22-.31,.47-.45,.76-.01,.02-.02,.05-.04,.07-.27,.57-.48,1.26-.46,2.05,0,0,0,0,0,0,0,.77,3.67,1.4,9.28,1.4s9.28-.63,9.28-1.4c.01-.59-.1-1.13-.27-1.6h0Z" fill="#fff"/> <path d="M8.65,14.16l.11-.09,.13-.05c.1-.04,1.56-.62,2.76-1.1-.93-.3-2.05-.67-2.26-.75-.39-.14-.42-1.85-.21-1.99,.21-.14,.67-.81,.73-1.93l.2-.1,.14-1.02-.12-.08h-.17l.08-1.72h0s0-.04,0-.11c0,0,0,0,0-.01,0-1.05-.96-1.92-2.24-2.14-.21-.04-.43-.06-.65-.06-.01,0-.03,0-.04,0s-.03,0-.04,0c-.22,0-.44,.02-.65,.06-1.28,.22-2.24,1.1-2.24,2.14,0,0,0,0,0,.01,0,.07,0,.11,0,.11h0l.08,1.72h-.17l-.12,.08,.14,1.02,.2,.1c.06,1.12,.52,1.79,.73,1.93,.21,.14,.18,1.85-.21,1.99-.39,.14-3.6,1.18-3.6,1.18C1.25,13.35-.03,14.41,0,16.03c0,0,0,0,0,0C0,16.56,3.02,16.98,6.8,17.01c.53-1.73,1.78-2.8,1.85-2.85Z" fill="#fff"/> </symbol> </g> <g id="_consulting-icons"> <symbol id="_consulting-logo" viewBox="0 0 227.15 83"> <path d="M67.6,41.5l11.41-12.84-16.83-3.71,1.71-17.11-15.69,6.99L39.5,0l-8.7,14.83L15.12,7.84l1.71,17.11L0,28.66l11.41,12.84L0,54.34l16.83,3.71-1.71,17.11,15.69-6.99,8.7,14.83,8.7-14.83,15.69,6.99-1.71-17.11,16.83-3.71-11.41-12.84Zm3.71-10.27l-7.13,8.13-6.27-3.71,2.85-6.7,10.55,2.28Zm-24.96,31.37l-5.7-4.99,2.57-4.42,4.71,2.14-1.57,7.27Zm-15.4-7.42l4.85-2.14,2.57,4.42-5.7,4.99-1.71-7.27Zm1.71-34.8l5.7,4.99-2.57,4.56-4.85-2.14,1.71-7.42Zm15.4,7.42l-4.71,2.14-2.57-4.42,5.7-4.99,1.57,7.27Zm6.27,7.7l-4.99-1,.43-5.13,7.56-.71-2.99,6.85Zm-4.56,7.56l2.14,2.42-3.14,.71-2,.43,.29,2.14,.29,3.28-2.99-1.28-2-.86-1,1.85-1.71,2.85-1.57-2.71-1.14-2-2,.86-3.14,1.28,.29-3.28,.29-2.14-2.14-.29-3.28-.71,2.14-2.42,1.43-1.57-1.43-1.57-2.14-2.42,3.14-.71,2.14-.43-.29-2.14-.29-3.28,2.99,1.28,2,.86,1-1.85,1.57-2.71,1.57,2.71,1,1.85,2-.86,2.99-1.28v2.99l-.29,2.14,2.14,.43,3.14,.71-2.14,2.57-1.43,1.57,1.57,1.57Zm-20.54-13.83l.43,5.13-4.99,1.14-2.99-6.99,7.56,.71Zm-5.28,8.41l3.42,3.85-3.42,3.99-6.56-3.85,6.56-3.99Zm.71,9.84l4.99,1.14-.43,5.28-7.56,.71,2.99-7.13Zm25.1,6.27l-.43-5.28,4.99-1.14,2.99,6.99-7.56-.57Zm5.28-8.41l-3.42-3.85,3.42-3.85,6.56,3.85-6.56,3.85Zm3.14-20.11l-7.13,.71-1.57-7.13,9.84-4.28-1.14,10.7ZM39.5,8.13l5.42,9.27-5.42,4.85-5.42-4.85,5.42-9.27Zm-9.84,10.55l-1.57,7.13-7.13-.71-1-10.7,9.7,4.28ZM7.7,31.09l10.55-2.28,2.85,6.56-6.13,3.71-7.27-7.99Zm0,20.68l7.13-8.13,6.13,3.71-2.85,6.7-10.41-2.28Zm13.12,6.13l7.13-.71,1.71,6.99-9.84,4.28,1-10.55Zm18.68,17.11l-5.42-9.27,5.42-4.85,5.42,4.85-5.42,9.27Zm9.84-10.84l1.57-6.99,7.13,.71,1,10.7-9.7-4.42Zm11.41-10.13l-2.85-6.56,6.13-3.71,7.13,8.13-10.41,2.14Z" fill="#306bb0"/> <g> <path d="M92.85,20.67h4.62l2.16,12,3.25-12h4.03l3.84,12.2,2.26-12.2h4.43l-3.74,18h-5.02l-3.54-11.31-3.44,11.22h-5.31l-3.54-17.91Z" fill="#fff"/> <path d="M227.15,38.68h-4.62l-2.16-12.1-3.25,12.1h-4.03l-3.74-12.3-2.26,12.3h-4.43l3.74-18h5.02l3.35,11.22,3.44-11.22h5.31l3.64,18Z" fill="#fff"/> <path d="M127.09,20.38c5.8,0,8.85,3.54,8.85,9.25s-3.05,9.25-8.85,9.25-8.85-3.64-8.85-9.25c-.1-5.8,2.95-9.25,8.85-9.25Zm0,14.95c2.85,0,4.03-2.85,4.03-5.71,0-3.15-1.08-5.71-4.03-5.71s-4.03,2.66-4.03,5.71c0,2.95,1.18,5.71,4.03,5.71Z" fill="#fff"/> <path d="M138.6,20.67h4.72v14.46h7.28v3.54h-12V20.67h0Z" fill="#fff"/> <path d="M152.67,20.67h11.9v3.44h-7.18v3.94h6.89v3.35h-6.89v7.28h-4.72V20.67h0Z" fill="#fff"/> <path d="M167.03,20.67h8.46c3.15,0,5.71,1.48,5.71,4.53,0,2.46-1.08,4.03-3.44,4.53v.1c1.48,.39,1.67,1.77,2.56,4.03l1.77,4.92h-4.92l-.98-3.25c-.98-3.05-1.57-3.84-3.35-3.84h-.98v7.08h-4.72l-.1-18.1h0Zm4.72,7.48h1.28c1.48,0,3.44-.1,3.44-2.07,0-1.67-1.67-1.97-3.44-1.97h-1.28v4.03Z" fill="#fff"/> <path d="M189.17,20.67h5.8l6.89,18h-5.21l-1.38-3.84h-6.69l-1.38,3.84h-4.82l6.79-18Zm2.95,3.64h0l-2.36,6.99h4.43l-2.07-6.99Z" fill="#fff"/> </g> <g> <path d="M105.34,45.57l-1.67,1.97c-.98-.89-1.97-1.28-3.15-1.28-2.36,0-4.13,1.77-4.13,6.4s1.77,6.4,4.23,6.4c1.48,0,2.46-.69,3.44-1.48l1.48,1.97c-.98,1.08-2.85,2.07-5.21,2.07-4.43,0-7.58-3.15-7.58-8.95s3.25-8.85,7.38-8.85c2.46,0,3.84,.59,5.21,1.77Z" fill="#fff"/> <path d="M121.28,52.65c0,5.61-2.95,8.95-7.48,8.95s-7.48-3.25-7.48-8.95,2.95-8.95,7.48-8.95c4.62,.1,7.48,3.25,7.48,8.95Zm-11.51,.1c0,4.62,1.57,6.4,4.03,6.4s4.03-1.77,4.03-6.4-1.48-6.4-4.03-6.4c-2.56-.1-4.03,1.77-4.03,6.4Z" fill="#fff"/> <path d="M132.11,61.31l-5.8-13.87c.2,1.48,.49,3.74,.49,6.89v6.99h-2.95v-17.12h4.13l6,13.87c-.2-.98-.49-3.44-.49-5.8v-8.07h2.95v17.12h-4.33Z" fill="#fff"/> <path d="M150.7,45.86l-1.67,1.87c-1.18-.98-2.36-1.48-3.74-1.48-1.48,0-2.66,.69-2.66,2.07,0,1.28,.69,1.77,3.54,2.66,2.95,.98,5.02,2.16,5.02,5.41,0,3.05-2.46,5.21-6.49,5.21-2.66,0-4.82-.98-6.2-2.36l1.77-1.87c1.18,1.08,2.56,1.77,4.43,1.77s3.15-.89,3.15-2.56c0-1.48-.69-2.07-3.35-2.95-3.64-1.08-5.21-2.56-5.21-5.21,0-2.85,2.46-4.72,5.8-4.72,2.46,.1,4.13,.89,5.61,2.16Z" fill="#fff"/> <path d="M159.85,61.6c-4.23,0-6.4-2.46-6.4-6v-11.41h3.25v11.31c0,2.46,.98,3.64,3.05,3.64s3.05-1.18,3.05-3.64v-11.31h3.35v11.51c.1,3.44-2.16,5.9-6.3,5.9Z" fill="#fff"/> <path d="M179.53,58.55l-.39,2.66h-9.74v-17.02h3.25v14.46h6.89v-.1Z" fill="#fff"/> <path d="M185.63,46.75v14.46h-3.35v-14.46h-4.62v-2.56h12.69l-.3,2.56h-4.43Z" fill="#fff"/> <path d="M192.32,61.31v-17.12h3.35v17.12h-3.35Z" fill="#fff"/> <path d="M206.98,61.6l-5.8-13.87c.2,1.48,.49,3.74,.49,6.89v6.99h-2.95v-17.12h4.13l6,13.87c-.2-.98-.49-3.44-.49-5.8v-8.07h2.95v17.12s-4.33,0-4.33,0Z" fill="#fff"/> <path d="M226.95,46.16l-1.77,1.87c-1.08-.98-2.07-1.38-3.54-1.38-2.46,0-4.53,1.87-4.53,6.4s1.38,6.4,4.03,6.4c.98,0,1.87-.2,2.66-.69v-4.43h-2.56l-.3-2.46h6.1v8.36c-1.67,.98-3.74,1.67-6,1.67-4.82,0-7.38-3.05-7.38-8.95s3.64-8.95,7.77-8.95c2.46,.1,4.13,.89,5.51,2.16Z" fill="#fff"/> </g> </symbol> </g> <g id="_learning-icons"> <symbol id="_learning-eiwl" viewBox="0 0 35 35"> <rect width="35" height="35" rx="7" ry="7" fill="#d10"/> <g> <g> <path d="M21.8,14.78c-1.29-1.29-3.03-2.01-4.86-2.01s-3.57,.72-4.86,2.01c-1.29,1.29-2.01,3.03-2.01,4.86s.72,3.57,2.01,4.86c1.29,1.29,3.03,2.01,4.86,2.01s3.57-.72,4.86-2.01c1.29-1.29,2.01-3.03,2.01-4.86s-.72-3.57-2.01-4.86Zm-9.23,9.23c-.19-.19-.37-.4-.54-.62,.53-2.22,1.17-4.88,2.22-5.67,.54-.95,.7-2.35,1.69-3.09,.25,.74,.63,2.27,.9,3,1.16,1.16,2.92,2.6,4.09,3.2,.12,.07,.28,.56,.28,.56l-.47,.6-5.06-.51c-.44-.04-.86,0-1.39,.09,.25-.61,.77-1.11,.77-1.11,0,0-.49-.3-.86-.35,.11-.25,.39-.56,.46-.65-.14,.05-1.16,.51-1.26,.9,.49,.12,.84,.28,.84,.28,0,0-.54,.54-.65,1.49,0,0,1.62-.25,2.83-.09,.04,.02,.05,.02,.07,.02l.63,.02,2.01,3.34c-.69,.26-1.43,.4-2.18,.4-1.64,0-3.21-.65-4.37-1.81Zm4.37-7.41c.47-.46,.54-.53,1-.97,.04,.88,.02,1.33-.04,2.41-.26-.26-.79-.6-.79-.6,0,0-.11-.61-.18-.84Zm4.37,7.41c-.33,.33-.7,.62-1.09,.87l-2.12-2.64,1.76,.19s.84,.09,1.04,0c.18-.07,1.12-1.41,1.12-1.41,0,0-2.72-1.72-3.65-2.67,.11-1.6-.12-3.72-.12-3.71-.69,.69-.77,.79-1.46,1.42-.3-.97-.44-1.3-.74-2.27-.9,.74-1.58,1.98-2.07,3.44-1.13,1.25-1.95,3.32-2.59,5.08-.4-.83-.62-1.75-.62-2.7,0-1.64,.65-3.21,1.81-4.37,1.16-1.16,2.73-1.81,4.37-1.81s3.21,.65,4.37,1.81c1.16,1.16,1.81,2.73,1.81,4.37s-.65,3.21-1.81,4.37Z" fill="#fff" fill-rule="evenodd"/> <path d="M17.61,20.08c.32-.09,.35-.11,.67-.19-.4-.3-.84-.61-1.44-.53-.05,.16-.11,.28-.14,.46,.28-.04,.58,.07,.91,.26Z" fill="#fff" fill-rule="evenodd"/> </g> <rect x="9.86" y="5.98" width="13.71" height="1.05" fill="#fff"/> <rect x="9.86" y="8.09" width="13.71" height="1.05" fill="#fff"/> <rect x="9.86" y="10.19" width="13.71" height="1.05" fill="#fff"/> <path d="M29.36,31.18H6.96c-.73,0-1.32-.59-1.32-1.32,0-.09,0-.18,.03-.26h-.03V4.4c0-.87,.71-1.58,1.58-1.58H27.78v1.05h1.58V31.18Zm-22.4-1.58c-.15,0-.26,.12-.26,.26s.12,.26,.26,.26H28.31V4.92h-.53V29.6H6.96Zm.26-25.73c-.29,0-.53,.24-.53,.53V28.57c.09-.02,.17-.03,.26-.03H26.73V3.87H7.22Z" fill="#fff"/> </g> </symbol> <symbol id="_learning-fifp" viewBox="0 0 35 35"> <rect width="35" height="35" rx="7" ry="7" fill="#d10"/> <g> <path d="M22.65,30.19c-1.59,.65-3.33,1.01-5.15,1.01-7.56,0-13.69-6.14-13.69-13.71h0c0-6.02,3.88-11.13,9.27-12.97-.52,.7-1.03,1.55-1.55,2.56-3.6,2.08-6.03,5.96-6.03,10.41,0,6.62,5.38,12.01,12,12.01,1.24,0,2.44-.19,3.57-.54,.41,.35,.86,.7,1.35,1.06l.23,.17Zm-2.51-26.15l.14,1.56s0,.1,.02,.21c5.27,1.27,9.2,6.02,9.2,11.68,0,3.97-1.94,7.5-4.92,9.69,.41,.25,.85,.5,1.31,.75l.29,.16c3.06-2.51,5.01-6.33,5.01-10.6h0c0-6.66-4.75-12.21-11.05-13.45Z" fill="#fff"/> <path d="M18,17.67c-.68-.4-1.28-.62-1.85-.55,.07-.37,.18-.62,.29-.95,1.21-.18,2.1,.48,2.92,1.1-.64,.18-.71,.22-1.35,.4Zm7.42,11.13l-2.42,.41c-3.03-2.21-4.24-4.1-6.06-6.91l-1.23-.07s-.07,0-.14-.04c-2.46-.33-5.74,.18-5.74,.18,.21-1.98,1.32-3.12,1.32-3.12,0,0-.71-.33-1.71-.59,.21-.81,2.28-1.76,2.57-1.87-.14,.18-.71,.84-.93,1.36,.75,.11,1.75,.73,1.75,.73,0,0-1.07,1.26-1.57,2.55,1.07-.18,1.92-.26,2.81-.18l10.26,.6,.96-1.01s-.32-1.03-.57-1.17c-2.39-1.25-5.95-4.73-8.3-7.15-.53-1.54-1.09-5.44-1.59-6.98-2,1.54-2.54,5.18-3.65,7.16-2.14,1.65-2.66,5.03-3.73,9.69-.5-.66-.44-1.53-.83-2.3,1.32-3.71,1.68-5.73,3.99-8.38,1.13-3.03,2.61-6.36,4.43-7.9,.61,2.02,.66,3.42,1.27,5.44,1.39-1.32,1.59-2.12,2.98-3.56,0-.04,.44,4.99,.23,8.33,1.89,1.98,7.41,6.05,7.41,6.05,0,0-1.92,2.56-2.28,2.7-.39,.18-2.1,0-2.1,0l-3.56-.17-.47-.07c1.16,2.23,3.11,4.23,6.89,6.28ZM18.45,7.86c-.85,1.05-.84,1.53-1.8,2.49,.14,.48,.36,1.76,.36,1.76,0,0,1.07,.7,1.6,1.25,.11-2.24-.08-3.66-.16-5.5Z" fill="#fff"/> </g> </symbol> <symbol id="_learning-fifms" viewBox="0 0 35 35"> <rect width="35" height="35" rx="7" ry="7" fill="#d10"/> <g> <g> <rect x="9.86" y="6.48" width="13.71" height="1.05" fill="#fff"/> <rect x="9.86" y="8.59" width="13.71" height="1.05" fill="#fff"/> <rect x="9.86" y="10.7" width="13.71" height="1.05" fill="#fff"/> <path d="M29.36,31.68H6.96c-.73,0-1.32-.59-1.32-1.32,0-.09,0-.18,.03-.26h-.03V4.9c0-.87,.71-1.58,1.58-1.58H27.78v1.05h1.58V31.68Zm-22.4-1.58c-.15,0-.26,.12-.26,.26s.12,.26,.26,.26H28.31V5.43h-.53V30.1H6.96Zm.26-25.73c-.29,0-.53,.24-.53,.53V29.07c.09-.02,.17-.03,.26-.03H26.73V4.37H7.22Z" fill="#fff"/> </g> <path d="M23.18,13.99v.65h-1.46l-.13,1.36c-.03,.24-.04,.44-.04,.61,0,.41,.07,.67,.2,.76,.14,.09,.3,.14,.49,.14,.4,0,.64-.18,.72-.54h.23c-.14,.83-.6,1.24-1.4,1.24-.37,0-.67-.08-.89-.24-.22-.16-.34-.4-.34-.71,0-.21,.04-.65,.13-1.32l.17-1.29h-1.34c-.09,1.08-.19,1.88-.32,2.38-.12,.5-.26,.82-.41,.97-.15,.15-.35,.22-.61,.22-.19,0-.36-.04-.49-.12-.13-.08-.2-.19-.2-.32s.11-.3,.34-.51c.33-.32,.58-.64,.74-.98,.16-.34,.29-.88,.37-1.63h-.43c-.34,0-.61,.05-.79,.16-.18,.11-.36,.26-.52,.47h-.23c.12-.32,.28-.58,.47-.79,.19-.21,.39-.34,.6-.4,.2-.06,.57-.09,1.09-.09h4.02Z" fill="#fff"/> <path d="M19.27,25.4l-.29-.07c-.3,.88-.54,1.05-1.2,1.05h-2.37l2.21-3.34-1.87-3.01h1.48c.71,0,.95,.07,1.11,.3,.15,.2,.26,.44,.38,.9l.28-.05c-.05-.6-.1-1.36-.11-1.54h-4.24v.27l2.17,3.56-2.29,3.45v.27h4.37l.38-1.79Z" fill="#fff"/> <path d="M13.75,14.02c-.57,.05-1.09,.38-1.41,.88-.26,.4-.43,.86-.55,1.33-.15,.56-.24,1.13-.31,1.71-.12,.98-.13,1.96-.17,2.95-.03,.97-.06,1.94-.11,2.91-.03,.63-.09,1.26-.23,1.87-.04,.19-.11,.38-.18,.56-.04,.08-.11,.16-.18,.22-.08,.07-.15,.04-.19-.06-.04-.11-.06-.22-.09-.33-.13-.6-.86-.87-1.29-.44-.21,.21-.28,.55-.2,.84,.37,1.28,2.02,.8,2.61,0,.58-.78,.77-1.88,.9-2.84,.12-.88,.17-1.76,.19-2.65,.02-.85,.05-1.7,.08-2.56,.02-.68,.06-1.37,.14-2.05,.05-.41,.11-.82,.25-1.21,.03-.08,.07-.16,.12-.24,.02-.03,.05-.07,.08-.09,.14-.13,.22-.11,.27,.08,.03,.11,.05,.22,.08,.33,.11,.43,.53,.71,.94,.58,.48-.15,.66-.74,.45-1.19s-.73-.63-1.17-.61c-.02,0-.03,0-.05,0Z" fill="#fff"/> <path d="M23.18,23.53c-.18,.19-.42,.39-.48,.39-.04,0-.06-.08-.01-.32,.15-.93,.34-1.84,.47-2.44l-.04-.03c-.11,0-.22-.02-.36-.05-.15-.03-.3-.05-.44-.05h0c-.53,0-1.09,.33-1.42,.66-.48,.46-.8,1.26-.8,2.01,0,.61,.22,.92,.46,.92,.22,0,.5-.18,.71-.38,.23-.22,.51-.52,.76-.91h.02l-.1,.53c-.12,.66,.01,.76,.17,.76,.22,0,.72-.29,1.16-.87l-.11-.2Zm-1.04-.83c-.15,.37-.83,1.27-1.09,1.27-.11,0-.17-.14-.17-.46,0-.7,.25-1.64,.7-2,.11-.08,.22-.12,.38-.12h0c.15,0,.32,.05,.41,.11-.04,.24-.15,.85-.25,1.2Z" fill="#fff"/> </g> </symbol> <symbol id="_learning-wld" viewBox="0 0 35 35"> <rect width="35" height="35" rx="7" ry="7" fill="#d10"/> <g> <path d="M12.11,28.68c-3.16,0-6.21,1.58-6.93,1.88-.45,.16-.49-.67-.49-1.13V6.7c0-.75,.34-1.45,.88-1.79,3.6-2.29,7.93-2.28,11.93,.03,4.04-2.35,8.26-2.37,11.92-.04,.55,.35,.89,1.04,.89,1.8V29.43c0,.45-.26,1.2-.67,.97-2.16-1.21-4.49-1.74-5.53-1.81-3.88-.28-4.48,1.21-6.7,1.16-1.77-.04-3.09-1.07-5.3-1.07Zm5.39,.06c2.78-1.72,8.46-1.69,11.72,.02V6.7c0-.26-.11-.49-.29-.6-3.58-2.28-7.47-2.21-11.43,.19h0c-3.91-2.36-7.91-2.43-11.43-.19-.18,.11-.29,.34-.29,.6V28.76c3.25-1.71,8.93-1.74,11.72-.02h0Z" fill="#fff"/> <path d="M27.75,9.15c-.45-.3-.92-.55-1.41-.74l.17-.65c.51,.21,1.02,.47,1.5,.79l-.25,.61Zm-2.02-1.66c-.13-.04-.26-.07-.39-.1l-.1,.68c.12,.03,.25,.06,.37,.09l.12-.67Zm-1.24,.45l.05-.68c-.67-.08-1.34-.06-2.01,.04l.07,.68c.63-.1,1.27-.11,1.89-.04Zm-2.65,.2l-.11-.67c-.53,.14-1.06,.34-1.57,.59l.2,.64c.48-.24,.98-.43,1.48-.56Zm-2.19,.96l-.24-.61c-.25,.16-.49,.33-.74,.51l.28,.59c.23-.17,.46-.34,.69-.48Zm7.62,.91l-.21,.63c.23,.12,.47,.26,.69,.41l.25-.61c-.24-.16-.49-.31-.74-.44Zm-.76-.35c-.26-.1-.52-.19-.78-.26l-.12,.67c.25,.07,.49,.15,.73,.25l.17-.65Zm-2.39,.15c.25,.02,.5,.04,.75,.09l.07-.68c-.27-.05-.53-.08-.8-.09l-.03,.69Zm-.78-.69c-.81,.04-1.61,.21-2.39,.5l.16,.66c.74-.28,1.49-.44,2.26-.47l-.02-.69Zm-4.38,2.36c.56-.43,1.16-.79,1.77-1.06l-.18-.65c-.65,.28-1.28,.66-1.88,1.12l.28,.59Zm8.68,.64l-.23,.62c.12,.07,.23,.14,.34,.22l.25-.61c-.12-.08-.24-.16-.37-.23Zm-1.66-.04c.24,.08,.48,.18,.72,.29l.19-.64c-.25-.12-.51-.22-.77-.31l-.14,.66Zm-.25-.78c-.78-.22-1.59-.32-2.39-.28l.02,.69c.76-.04,1.52,.05,2.26,.26l.12-.67Zm-3.2-.2c-.27,.04-.53,.1-.8,.17l.11,.67c.25-.07,.5-.12,.75-.16l-.07-.68Zm-2.88,1.8l-.24-.61c-.25,.16-.49,.33-.74,.51l.28,.59c.23-.17,.46-.34,.69-.48Zm1.29-1.38c-.26,.1-.52,.21-.78,.34l.2,.64c.24-.12,.49-.23,.73-.32l-.16-.66Zm-2.27,3.18l.28,.59c.45-.35,.93-.64,1.41-.88l-.2-.64c-.51,.25-1.01,.57-1.49,.94Zm2.43-.62c.12-.05,.25-.09,.37-.13l-.14-.66c-.13,.04-.26,.09-.39,.14l.16,.66Zm1.12-.33c.63-.13,1.26-.18,1.89-.14l.03-.69c-.67-.04-1.35,0-2.01,.15l.09,.68Zm2.65-.05c.5,.08,1,.22,1.48,.42l.17-.65c-.51-.2-1.04-.35-1.57-.44l-.07,.68Zm2.19,.75c.23,.12,.47,.26,.69,.41l.25-.61c-.24-.16-.49-.31-.74-.44l-.21,.63Zm-18.41,5.91l-.17-.64c-.52,.2-1.02,.46-1.5,.77l.25,.6c.45-.29,.92-.54,1.41-.73Zm1.01-1c-.13,.03-.26,.06-.39,.1l.12,.66c.12-.03,.25-.06,.37-.09l-.1-.66Zm2.74,.57l.07-.67c-.67-.1-1.34-.11-2.01-.04l.05,.67c.62-.07,1.26-.06,1.89,.04Zm2.43,.08c-.51-.25-1.03-.44-1.57-.58l-.11,.66c.5,.13,1,.31,1.48,.55l.2-.63Zm1.21,1.49l.28-.57c-.24-.18-.49-.35-.74-.5l-.24,.6c.24,.14,.47,.3,.69,.47Zm-9.05,.85l.25,.6c.23-.15,.46-.28,.69-.4l-.21-.62c-.25,.13-.49,.27-.74,.43Zm1.5-.77l.16,.64c.24-.09,.49-.18,.73-.24l-.12-.66c-.26,.07-.52,.16-.78,.26Zm1.64,.23c.25-.04,.5-.07,.75-.08l-.03-.67c-.27,.02-.54,.05-.8,.09l.07,.67Zm3.92-.27c-.78-.29-1.58-.45-2.39-.49l-.02,.67c.76,.03,1.52,.19,2.26,.46l.16-.64Zm.21,.79c.62,.26,1.21,.61,1.77,1.03l.28-.57c-.59-.45-1.23-.82-1.88-1.1l-.18,.64Zm-7.27,1.88l.25,.6c.11-.07,.23-.15,.34-.21l-.23-.61c-.12,.07-.24,.15-.36,.22Zm1.11-.61l.19,.63c.24-.11,.48-.2,.72-.28l-.14-.65c-.26,.09-.52,.19-.77,.3Zm1.16-.42l.12,.66c.74-.2,1.49-.29,2.26-.25l.02-.67c-.81-.04-1.61,.05-2.39,.27Zm3.13,.48c.25,.04,.5,.09,.75,.15l.11-.66c-.27-.07-.53-.12-.8-.16l-.06,.67Zm2.95,1.1c.24,.15,.47,.3,.7,.47l.28-.57c-.24-.18-.49-.35-.73-.5l-.24,.6Zm-1.45-.71c.25,.09,.49,.2,.73,.31l.2-.63c-.26-.13-.52-.24-.78-.33l-.16,.64Zm4.97,1.33h1.09v-3.36h-1.09v3.36Zm3.27-1.35h1.09v-5.38h-1.09v5.38Zm3.27,.67h1.09v-7.4h-1.09v7.4Zm-4.91,0h1.09v-4.71h-1.09v4.71Zm3.27-.67h1.09v-4.71h-1.09v4.71Zm3.27-4.04v5.38h1.09v-5.38h-1.09Z" fill="#fff"/> <path d="M7.08,12.31c0-1.31,.51-2.7,1.44-3.79,.92-1.08,2.19-1.74,3.51-1.74,1.32,0,2.58,.66,3.51,1.74,.92,1.08,1.44,2.48,1.44,3.79,0,1.31-.51,2.43-1.44,3.2-.92,.77-2.19,1.15-3.51,1.16-1.32,0-2.58-.39-3.51-1.16-.92-.77-1.44-1.89-1.44-3.2Zm6.52,3.64c-.48-.84-.97-1.66-1.45-2.46-.15,0-.31,0-.46-.01-.01,0-.03,0-.05-.01-.88-.11-2.05,.19-2.05,.2,.08-.69,.47-1.12,.47-1.12,0,0-.25-.09-.61-.14,.08-.29,.81-.69,.91-.74-.05,.07-.25,.31-.33,.5,.27,.01,.62,.2,.62,.2,0,0-.38,.38-.56,.84,.38-.1,.69-.14,1-.13,1.22,.07,2.45,.24,3.66,.53,.11-.13,.23-.26,.34-.38,0,0-.11-.37-.2-.43-.85-.56-2.12-1.68-2.96-2.5-.19-.53-.47-1.62-.65-2.15-.71,.56-.83,1.59-1.22,2.3-.76,.64-1.22,2.63-1.6,4.29,.12,.13,.25,.26,.39,.38,.83,.71,1.97,1.06,3.16,1.07,.55,0,1.08-.08,1.58-.23Zm-1.45-5.8s.38,.24,.57,.44c.04-.77,.05-1.1,.03-1.73-.33,.31-.38,.36-.73,.68,.05,.16,.13,.61,.13,.61Zm-4.14,3.9c.46-1.36,1.05-2.95,1.86-3.93,.36-1.09,.85-2.03,1.5-2.58,.22,.69,.32,.93,.53,1.62,.5-.45,.56-.53,1.06-1,0-.01,.17,1.52,.09,2.67,.68,.68,2.64,2.19,2.63,2.22,0,0-.68,.85-.81,.89-.14,.04-.75-.09-.75-.09-.42-.09-.85-.16-1.27-.23,.51,.65,1.02,1.33,1.53,2.02,.28-.14,.55-.32,.79-.52,.83-.71,1.3-1.73,1.3-2.91,0-1.18-.46-2.42-1.3-3.38-.83-.96-1.97-1.54-3.16-1.54-1.19,0-2.33,.58-3.16,1.54-.83,.96-1.3,2.21-1.3,3.38,0,.68,.15,1.31,.44,1.85Zm4.98-2c-.29-.23-.61-.47-1.04-.4-.04,.11-.08,.2-.1,.33,.2-.03,.42,.05,.66,.19,.23-.06,.25-.07,.48-.12Z" fill="#fff"/> </g> </symbol> <symbol id="_learning-wu" viewBox="0 0 35 35"> <rect width="35" height="35" rx="7" ry="7" fill="#d10"/> <g> <path d="M29.73,6.45c-.34-.29-.72-.58-1.13-.86-2.98-2.05-6.93-3.18-11.11-3.18s-8.13,1.13-11.11,3.18c-.39,.27-.76,.55-1.12,.85l-.19,.16V23.78l.13,.21c3.2,5.06,8.69,7.19,11.65,8.34h0l.64,.25,.63-.25c2.96-1.15,8.46-3.28,11.65-8.34l.13-.21V6.61l-.19-.16Zm-.7,.72V23.49l-.05,.08c-3,4.81-8.23,6.85-11.04,7.95,0,0-.01,0-.02,0h0s0,0,0,0c-.15,.06-.29,.11-.42,.17-.13-.05-.27-.11-.42-.17h0s0,0,0,0c0,0-.01,0-.02,0-2.81-1.1-8.04-3.14-11.04-7.95l-.05-.08V7.13c.33-.28,.67-.55,1.04-.8,2.81-1.95,6.53-3.02,10.49-3.02s7.68,1.07,10.49,3.02c.37,.26,.72,.53,1.05,.81v.04Z" fill="#fff"/> <path d="M23.62,16.61l2.56-2.87-3.76-.82,.38-3.83-3.52,1.55-1.94-3.32-1.94,3.32-3.52-1.55,.38,3.83-3.76,.82,2.56,2.87-2.56,2.87,3.76,.82-.38,3.83,3.52-1.55,1.94,3.32,1.94-3.32,3.52,1.55-.38-3.83,3.76-.82-2.56-2.87Zm.67,1.85l-1.71-.58-1.17-1.51,1.5,.56,1.37,1.54Zm-5.53,3.55l-1.06,1.82v-1.88l1.1-1.61-.04,1.67Zm-2.49-9.39l-1.81-.64-1.05-1.42,1.9,.84,.96,1.22Zm3.08-1.22l1.9-.84-1.05,1.42-1.81,.64,.96-1.22Zm2.31,1.67l-.92,1.31,.05-1.97,1.08-1.45-.21,2.12Zm-4.33,8.11l-1.41-2.06,1.41-1.92,1.41,1.92-1.41,2.06Zm-2.65-5.88l-.07-2.5,2.36,.84v2.44l-2.29-.77Zm3.02-1.67l2.36-.84-.07,2.5-2.29,.77v-2.44Zm-4.69-.57l-.21-2.12,1.08,1.45,.05,1.97-.92-1.3Zm3.74,3.7l-1.41,1.92-2.4-.71,1.52-1.98,2.29,.77Zm-.88,3.56l1.1,1.61v1.88l-1.06-1.82-.04-1.67Zm2.06-3.56l2.29-.77,1.52,1.98-2.4,.71-1.41-1.92Zm6.87-2.59l-1.78,2-2.1-.78,1.26-1.79,2.62,.57Zm-6.11-3.11l-1.35,1.72-1.35-1.72,1.35-2.31,1.35,2.31Zm-8.81,3.11l2.62-.57,1.26,1.79-2.1,.78-1.78-2Zm1.88,2.74l1.5-.56-1.17,1.52-1.71,.58,1.38-1.54Zm-1.21,2.26l1.78-.61,1.9,.56-1.59,.5-2.09-.46Zm2.45,1.11l2.13-.67,.05,2.27-2.45,1.08,.27-2.67Zm6.5,1.59l.06-2.27,2.13,.67,.27,2.67-2.45-1.08Zm2.54-2.24l-1.59-.5,1.9-.56,1.78,.61-2.09,.46Z" fill="#fff"/> </g> </symbol> <symbol id="_learning-c" viewBox="0 0 35 35"> <rect width="35" height="35" rx="7" ry="7" fill="#d10"/> <g> <polygon points="13.44 17.31 11.6 19.37 14.3 19.96 14.02 22.71 16.55 21.6 17.95 23.98 19.34 21.6 21.87 22.71 21.59 19.96 24.29 19.37 22.45 17.31 24.29 15.24 21.59 14.66 21.87 11.91 19.34 13.02 17.94 10.63 16.55 13.02 14.02 11.91 14.3 14.66 11.6 15.25 13.44 17.31" fill="#fff"/> <path d="M26.93,28.75H8.91c-1.4,0-1.92-1.13-1.92-2.53v-5.41L1.65,13.95H7v-5.75c0-1.4,.52-2.53,1.92-2.53H26.93c1.4,0,2.53,1.13,2.53,2.53V26.22c0,1.4-1.13,2.53-2.53,2.53ZM3.87,14.87l4.05,5.56v5.79c0,.89,.11,1.61,1,1.61H26.93c.89,0,1.61-.72,1.61-1.61V8.2c0-.89-.72-1.61-1.61-1.61H8.91c-.89,0-1,.72-1,1.61v6.67H3.87Z" fill="#fff"/> </g> </symbol> <symbol id="_learning-bl" viewBox="0 0 35 35"> <rect width="35" height="35" rx="7" ry="7" fill="#d10"/> <path d="M6.63,5.65H24.92c1.37,0,2.48,1.11,2.48,2.48v5.91l6.03,3.6-6.03,4.08v4.7c0,1.37-1.11,2.48-2.48,2.48H6.63c-1.37,0-2.48-1.11-2.48-2.48V8.14c0-1.37,1.11-2.48,2.48-2.48Zm25.58,11.97l-5.77-3.28,.06-6.21c0-.87-.71-1.58-1.58-1.58H6.63c-.87,0-1.58,.71-1.58,1.58V26.43c0,.87,.71,1.58,1.58,1.58H24.92c.87,0,1.58-.71,1.58-1.58v-5.02l5.71-3.79Z" fill="#fff"/> <path d="M21.9,17.23l2.4-2.7-3.53-.77,.36-3.59-3.31,1.45-1.82-3.12-1.82,3.12-3.31-1.45,.36,3.59-3.53,.77,2.4,2.7-2.4,2.7,3.53,.77-.36,3.59,3.31-1.45,1.82,3.12,1.82-3.12,3.31,1.45-.36-3.59,3.53-.77-2.4-2.7Zm.63,1.74l-1.6-.55-1.09-1.42,1.41,.52,1.29,1.45Zm-5.19,3.33l-1,1.71v-1.77l1.03-1.51-.04,1.57Zm-2.34-8.81l-1.7-.61-.99-1.33,1.79,.79,.9,1.15Zm2.89-1.15l1.79-.79-.99,1.33-1.7,.61,.9-1.15Zm2.17,1.57l-.86,1.23,.05-1.85,1.01-1.36-.2,1.99Zm-4.07,7.62l-1.33-1.94,1.33-1.8,1.33,1.8-1.33,1.94Zm-2.49-5.52l-.06-2.35,2.21,.79v2.29l-2.15-.72Zm2.83-1.56l2.21-.79-.06,2.35-2.15,.72v-2.29Zm-4.41-.54l-.2-1.99,1.01,1.36,.05,1.85-.86-1.23Zm3.51,3.48l-1.33,1.8-2.26-.66,1.43-1.86,2.15,.72Zm-.82,3.34l1.03,1.51v1.77l-1-1.71-.04-1.57Zm1.93-3.34l2.15-.72,1.43,1.86-2.26,.66-1.33-1.8Zm6.45-2.43l-1.67,1.87-1.97-.73,1.18-1.68,2.46,.54Zm-5.74-2.92l-1.27,1.62-1.27-1.62,1.27-2.17,1.27,2.17Zm-8.27,2.92l2.46-.54,1.18,1.68-1.97,.73-1.67-1.87Zm1.77,2.57l1.41-.52-1.1,1.42-1.61,.55,1.29-1.45Zm-1.14,2.12l1.67-.57,1.78,.53-1.49,.47-1.96-.43Zm2.3,1.04l2-.63,.05,2.13-2.3,1.01,.25-2.5Zm6.11,1.5l.05-2.13,2,.63,.25,2.51-2.3-1.01Zm2.39-2.11l-1.49-.47,1.79-.53,1.67,.57-1.96,.43Z" fill="#fff"/> </symbol> <symbol id="_learning-rfsd" viewBox="0 0 35 35"> <rect width="35" height="35" rx="7" ry="7" fill="#d10"/> <g> <path d="M19.39,18.9c.61-.17,.68-.2,1.29-.37-.78-.58-1.63-1.19-2.79-1.02-.1,.31-.2,.54-.27,.89,.54-.07,1.12,.14,1.77,.51Z" fill="#fff" fill-rule="evenodd"/> <path d="M23.74,23.46s1.63,.17,2.01,0c.34-.14,2.18-2.72,2.18-2.72,0,0-5.28-3.34-7.08-5.17,.2-3.1-.24-7.22-.24-7.18-1.33,1.33-1.5,1.53-2.83,2.76-.58-1.87-.85-2.52-1.43-4.39-1.74,1.43-3.06,3.85-4.02,6.67-2.18,2.41-3.76,6.4-5.01,9.8,.27,.71,.68,1.38,1.29,1.91,1.01-4.27,2.26-9.29,4.26-10.79,1.06-1.84,1.36-4.56,3.27-5.99,.48,1.43,1.23,4.39,1.74,5.82,2.25,2.25,5.65,5.04,7.93,6.2,.24,.14,.54,1.09,.54,1.09l-.92,1.16-9.81-.99c-.85-.07-1.67,0-2.69,.17,.48-1.19,1.5-2.14,1.5-2.14,0,0-.95-.58-1.67-.68,.2-.48,.75-1.09,.89-1.26-.27,.1-2.25,.99-2.45,1.74,.95,.24,1.63,.54,1.63,.54,0,0-1.06,1.06-1.26,2.89,0,0,3.13-.48,5.48-.17,.07,.03,.1,.03,.14,.03l1.23,.03,3.67,6.11c.76-.3,1.61-.41,2.24-.83l-4-4.98,3.4,.37Zm-3.78-8.51c-.51-.51-1.53-1.16-1.53-1.16,0,0-.2-1.19-.34-1.63,.92-.89,1.06-1.02,1.94-1.87,.07,1.7,.03,2.59-.07,4.66Z" fill="#fff" fill-rule="evenodd"/> <path d="M29.75,22.13c.07-.19,.14-.38,.2-.58s.12-.39,.18-.59c.13-.01,.3-.04,.49-.07,.22-.04,.69-.17,.69-.17l.11-.53s-.37-.31-.56-.44c-.16-.11-.3-.2-.41-.27,.06-.41,.11-.81,.13-1.22,.12-.04,.28-.1,.46-.17,.21-.09,.64-.31,.64-.31v-.55s-.43-.22-.64-.31c-.17-.08-.33-.13-.46-.17-.02-.41-.07-.82-.13-1.22,.11-.07,.26-.15,.41-.27,.18-.13,.56-.44,.56-.44l-.11-.53s-.47-.13-.69-.17c-.19-.04-.36-.06-.49-.07-.11-.39-.23-.78-.38-1.16,.1-.09,.22-.21,.35-.35,.15-.17,.45-.54,.45-.54l-.22-.5s-.48-.03-.71-.03c-.19,0-.36,.01-.49,.03-.19-.36-.39-.72-.61-1.06,.08-.11,.17-.25,.27-.41,.11-.19,.33-.63,.33-.63l-.32-.44s-.48,.07-.7,.12c-.19,.04-.35,.09-.47,.13-.26-.32-.53-.62-.82-.91,.05-.12,.12-.28,.18-.46,.07-.21,.19-.68,.19-.68l-.41-.37s-.45,.17-.66,.26c-.17,.08-.32,.16-.44,.22-.32-.25-.65-.49-.99-.72,.03-.13,.06-.29,.08-.48,.03-.22,.05-.71,.05-.71l-.47-.27s-.41,.26-.59,.4c-.15,.11-.28,.22-.38,.31-.36-.18-.74-.35-1.12-.5,0-.13,0-.3-.02-.49-.02-.22-.1-.7-.1-.7l-.52-.17s-.34,.34-.49,.51c-.13,.14-.23,.28-.31,.38-.4-.1-.8-.19-1.2-.26-.03-.13-.07-.29-.12-.47-.07-.21-.24-.67-.24-.67l-.54-.06s-.27,.4-.38,.6c-.09,.17-.17,.32-.22,.44-.41-.02-.82-.02-1.23,0-.05-.12-.13-.27-.22-.44-.11-.2-.38-.6-.38-.6l-.54,.06s-.18,.45-.24,.67c-.06,.18-.1,.35-.12,.47-.4,.07-.8,.15-1.2,.26-.08-.1-.18-.24-.31-.38-.15-.17-.49-.51-.49-.51l-.52,.17s-.08,.48-.1,.7c-.02,.19-.02,.36-.02,.49-.38,.15-.75,.31-1.12,.5-.1-.09-.23-.2-.38-.31-.18-.13-.59-.4-.59-.4l-.47,.27s.02,.48,.05,.71c.02,.19,.05,.36,.08,.49-.34,.22-.67,.46-.99,.72-.11-.06-.26-.15-.44-.23-.2-.09-.66-.26-.66-.26l-.41,.37s.12,.47,.19,.68c.06,.18,.13,.34,.18,.46-.29,.29-.56,.59-.82,.91-.12-.04-.29-.09-.47-.13-.22-.05-.7-.12-.7-.12l-.32,.44s.22,.43,.33,.63c.1,.16,.19,.3,.27,.41-.22,.34-.42,.7-.61,1.06-.13-.01-.3-.03-.49-.03-.23,0-.71,.03-.71,.03l-.22,.5s.3,.38,.45,.54c.13,.14,.25,.26,.35,.35-.07,.19-.14,.38-.2,.58s-.12,.39-.18,.59c-.13,.01-.3,.04-.49,.07-.22,.04-.69,.17-.69,.17l-.11,.53s.37,.31,.56,.44c.16,.11,.3,.2,.41,.27-.06,.41-.11,.81-.13,1.22-.12,.04-.28,.1-.46,.17-.21,.09-.64,.31-.64,.31v.55s.43,.22,.64,.31c.17,.08,.33,.13,.46,.17,.02,.41,.07,.82,.13,1.22-.11,.07-.26,.15-.41,.27-.18,.13-.56,.44-.56,.44l.11,.53s.47,.13,.69,.17c.19,.04,.36,.06,.49,.07,.11,.39,.23,.78,.38,1.16-.1,.09-.22,.21-.35,.35-.15,.17-.45,.54-.45,.54l.22,.5s.48,.03,.71,.03c.19,0,.36-.01,.49-.03,.19,.36,.39,.72,.61,1.06-.08,.11-.17,.25-.27,.41-.11,.19-.33,.63-.33,.63l.32,.44s.48-.07,.7-.12c.19-.04,.35-.09,.47-.13,.26,.32,.53,.62,.82,.91-.05,.12-.12,.28-.18,.46-.07,.21-.19,.68-.19,.68l.41,.37s.45-.17,.66-.26c.17-.08,.32-.16,.44-.22,.32,.25,.65,.49,.99,.72-.03,.13-.06,.29-.08,.48-.03,.22-.05,.71-.05,.71l.47,.27s.41-.26,.59-.4c.15-.11,.28-.22,.38-.31,.36,.18,.74,.35,1.12,.5,0,.13,0,.3,.02,.49,.02,.22,.1,.7,.1,.7l.52,.17s.34-.34,.49-.51c.13-.14,.23-.28,.31-.38,.4,.1,.8,.19,1.2,.26,.03,.13,.07,.29,.12,.47,.07,.21,.24,.67,.24,.67l.54,.06s.27-.4,.38-.6c.09-.17,.17-.32,.22-.44,.41,.02,.82,.02,1.23,0,.05,.12,.13,.27,.22,.44,.11,.2,.38,.6,.38,.6l.54-.06s.18-.45,.24-.67c.06-.18,.1-.35,.12-.47,.4-.07,.8-.15,1.2-.26,.08,.1,.18,.24,.31,.38,.15,.17,.49,.51,.49,.51l.52-.17s.08-.48,.1-.7c.02-.19,.02-.36,.02-.49,.38-.15,.75-.31,1.12-.5,.1,.09,.23,.2,.38,.31,.18,.13,.59,.4,.59,.4l.47-.27s-.02-.48-.05-.71c-.02-.19-.05-.36-.08-.49,.34-.22,.67-.46,.99-.72,.11,.06,.26,.15,.44,.23,.2,.09,.66,.26,.66,.26l.41-.37s-.12-.47-.19-.68c-.06-.18-.13-.34-.18-.46,.29-.29,.56-.59,.82-.91,.12,.04,.29,.09,.47,.13,.22,.05,.7,.12,.7,.12l.32-.44s-.22-.43-.33-.63c-.1-.16-.19-.3-.27-.41,.22-.34,.42-.7,.61-1.06,.13,.01,.3,.03,.49,.03,.23,0,.71-.03,.71-.03l.22-.5s-.3-.38-.45-.54c-.13-.14-.25-.26-.35-.35Zm-12.25,7.05c-6.45,0-11.68-5.23-11.68-11.68S11.05,5.82,17.5,5.82s11.68,5.23,11.68,11.68-5.23,11.68-11.68,11.68Z" fill="#fff" fill-rule="evenodd"/> </g> </symbol> </g> <g id="_company-icons"> <symbol id="_company-aw" viewBox="0 0 35 35"> <rect width="35" height="35" rx="7" ry="7" fill="#d10"/> <path d="M27.35,17.5l4.02-4.51-5.9-1.29,.6-6.01-5.53,2.43-3.05-5.21-3.04,5.21-5.53-2.43,.6,6.01-5.9,1.28,4.01,4.51-4.02,4.5,5.9,1.29-.6,6,5.53-2.43,3.05,5.21,3.04-5.21,5.53,2.43-.6-6.01,5.9-1.28-4.02-4.51Zm1.06,2.91l-2.68-.92-1.83-2.38,2.35,.87,2.16,2.42Zm-8.67,5.57l-1.66,2.85v-2.95l1.73-2.52-.06,2.62Zm-3.9-14.73l-2.85-1.01-1.65-2.22,2.99,1.31,1.5,1.92Zm4.84-1.92l2.99-1.31-1.65,2.22-2.84,1.01,1.5-1.92Zm3.63,2.63l-1.44,2.05,.08-3.09,1.69-2.28-.33,3.32Zm-6.79,12.73l-2.22-3.24,2.22-3.01,2.22,3.01-2.22,3.24Zm-4.16-9.22l-.11-3.93,3.7,1.32v3.82l-3.59-1.21Zm4.74-2.61l3.7-1.32-.11,3.93-3.59,1.21v-3.82Zm-7.37-.9l-.33-3.32,1.69,2.28,.08,3.09-1.44-2.05Zm5.87,5.81l-2.22,3.01-3.77-1.11,2.39-3.11,3.59,1.21Zm-1.38,5.59l1.73,2.52v2.95l-1.67-2.85-.06-2.62Zm3.23-5.59l3.59-1.21,2.39,3.11-3.77,1.11-2.22-3.01Zm10.78-4.07l-2.79,3.13-3.29-1.22,1.98-2.8,4.11,.9Zm-9.59-4.88l-2.12,2.7-2.12-2.71,2.12-3.62,2.12,3.62ZM5.79,13.69l4.11-.89,1.98,2.8-3.29,1.22-2.79-3.13Zm2.95,4.29l2.36-.87-1.83,2.38-2.68,.92,2.16-2.42Zm-1.91,3.55l2.79-.95,2.98,.88-2.5,.79-3.28-.72Zm3.84,1.74l3.34-1.06,.09,3.56-3.85,1.69,.42-4.19Zm10.21,2.5l.09-3.56,3.34,1.06,.42,4.19-3.85-1.69Zm3.99-3.52l-2.5-.79,2.98-.88,2.79,.96-3.28,.71Z" fill="#fff"/> </symbol> <symbol id="_company-caw" viewBox="0 0 35 35"> <rect width="35" height="35" rx="7" ry="7" fill="#d10"/> <path d="M16.3,16.9c-1.6.4-1.6,3.4-.3,4,1.3.6,3.2.3,3.4-1.4.3-2.3-1-3-3-2.6h0ZM18.1,19.9h-1.7v-1.7h1.7v1.7Z" fill="#fff"/> <path d="M29.3,14.7c.5-1.3.9-2.6.6-4v-.3c0-.3-.6-.3-.7-.3h-6.1c0-.7,0-2.9-1.4-3.3-.9-.3-7.3-.2-8.6,0-1.9.2-1.6,1.8-1.6,3.4h-6.4s-.7,0-.7.4v2.5c0,.7.5,1,.5,1.7v11.2c.2,1.2,1,1.5,2.1,1.6h20c1,0,1.9-.6,2.1-1.6v-11l.2-.3h0ZM21.4,8.3c.2.4.4,1.8-.2,1.8h-8c-.6,0-.3-1.4,0-1.8s8.1-.4,8.3,0ZM24.2,16.3c-.7.3-4.1,1.3-4.2,1.6v.9c2.9-.4,5.4-1.8,8-3v10.2s-.4.5-.5.5H6.8l-.5-.5v-10.2c2.6,1.1,5.2,2.7,8,3v-.9c0-.3-3.8-1.4-4.5-1.8-2.1-.9-4.6-2.1-4.3-4.8h23.3c.3,2.9-2.4,4.1-4.6,5Z" fill="#fff"/> </symbol> <symbol id="_company-asr" viewBox="0 0 35 35"> <rect width="35" height="35" rx="7" ry="7" fill="#d10"/> <path d="M17.6,5.5c-6.6,0-12,5.4-12,12s5.4,12,12,12,12-5.4,12-12-5.4-12-12-12ZM6.6,17.8h4.5c0,2.2.4,4.3,1,6.1h-3.5c-1.2-1.7-2-3.8-2-6.1ZM18.1,10.1v-3.5c1.3.3,2.6,1.6,3.6,3.5h-3.6ZM22.1,11.1c.7,1.6,1.1,3.5,1.2,5.6h-5.2v-5.6h4ZM17.1,6.6v3.5h-3.5c.9-2,2.2-3.2,3.5-3.5ZM17.1,11.1v5.6h-5c0-2.2.5-4.1,1.1-5.6h3.9ZM11.1,16.7h-4.5c.1-2.1.9-4,2-5.6h3.4c-.6,1.7-.9,3.6-1,5.6ZM12.1,17.8h5v6.1h-3.9c-.6-1.7-1-3.8-1-6.1ZM17.1,24.9v3.6c-1.3-.3-2.5-1.6-3.5-3.6h3.5ZM18.1,28.4v-3.6h3.6c-1,2-2.3,3.3-3.6,3.6ZM18.1,23.8v-6.1h5.3c0,2.3-.5,4.4-1.2,6.1h-4.1ZM24.4,17.8h4.2c0,2.3-.8,4.4-2,6.1h-3.3c.7-1.8,1.1-3.9,1.1-6.1ZM24.3,16.7c0-2-.5-4-1.1-5.6h3.2c1.2,1.6,1.9,3.5,2,5.6h-4.2ZM25.7,10.1h-2.8c-.6-1.2-1.3-2.3-2.1-3.1,1.9.6,3.6,1.7,4.9,3.1ZM14.5,6.9c-.8.8-1.5,1.9-2,3.1h-3c1.3-1.5,3.1-2.6,5-3.1ZM9.4,24.9h3c.6,1.3,1.2,2.4,2,3.2-2-.6-3.7-1.7-5.1-3.2ZM20.8,28c.8-.8,1.5-1.9,2.1-3.2h2.9c-1.3,1.5-3,2.6-5,3.2Z" fill="#fff"/> </symbol> </g> <g id="_search-icons"> <symbol id="_search-magnifier" viewBox="0 0 24 24"> <path fill="#b5b5b5" d="M23.66,21.85l-6.46-6.45c3.23-4.18,2.51-10.15-1.67-13.49C11.34-1.19,5.24-.47,2.01,3.71S-.5,13.85,3.69,17.2c3.47,2.63,8.25,2.63,11.72,0l6.46,6.45c.48,.48,1.2,.48,1.67,0,.6-.6,.6-1.31,.12-1.79ZM2.49,9.56c0-3.94,3.23-7.16,7.17-7.16s7.17,3.22,7.17,7.16-3.23,7.16-7.17,7.16-7.17-3.1-7.17-7.16Z"/> </symbol> <symbol id="_search-x" viewBox="0 0 14 14"> <path fill="#5e5e5e" d="M1.9,13.9l-1.4-1.5L5.6,7L0.5,1.7l1.4-1.5L7,5.5l5.1-5.4l1.4,1.5L8.4,7l5.1,5.4l-1.4,1.5L7,8.5L1.9,13.9z"/> </symbol> </g> <g id="_mobile-icons"> <symbol id="_mobile-caret" viewBox="0 0 7 12"> <path d="M7,6c0,.18-.07,.35-.21,.47L1.19,11.81c-.28,.26-.72,.25-.99-.02-.26-.26-.26-.67,0-.93L5.31,6,.2,1.13C-.07,.87-.06,.44,.21,.19,.49-.06,.92-.06,1.19,.19L6.79,5.53c.13,.13,.21,.29,.21,.47Z" fill="#a0a0a0"/> </symbol> <symbol id="_mobile-plus" viewBox="0 0 12 12"> <polygon points="12 4.74 7.26 4.74 7.26 0 4.74 0 4.74 4.74 0 4.74 0 7.26 4.74 7.26 4.74 12 7.26 12 7.26 7.26 12 7.26 12 4.74" fill="#d10" fill-rule="evenodd"/> </symbol> <symbol id="_mobile-minus" viewBox="0 0 12 2.51"> <rect x="0" width="12" height="2.51" fill="#d10"/> </symbol> <symbol id="_mobile-consulting-logo" viewBox="0 0 281.71 35"> <path d="M0,10.13H4.04l1.89,10.5,2.84-10.5h3.53l3.36,10.67,1.98-10.67h3.87l-3.27,15.75h-4.39l-3.1-9.89-3.01,9.81H3.1L0,10.13Z" fill="#fff"/> <path d="M117.45,25.87h-4.04l-1.89-10.58-2.84,10.58h-3.53l-3.27-10.76-1.98,10.76h-3.87l3.27-15.75h4.39l2.93,9.81,3.01-9.81h4.65l3.18,15.75Z" fill="#fff"/> <path d="M29.94,9.87c5.08,0,7.74,3.1,7.74,8.09s-2.67,8.09-7.74,8.09-7.74-3.18-7.74-8.09c-.09-5.08,2.58-8.09,7.74-8.09Zm0,13.08c2.5,0,3.53-2.5,3.53-4.99,0-2.75-.95-4.99-3.53-4.99s-3.53,2.32-3.53,4.99c0,2.58,1.03,4.99,3.53,4.99Z" fill="#fff"/> <path d="M40.01,10.13h4.13v12.65h6.37v3.1h-10.5V10.13h0Z" fill="#fff"/> <path d="M52.31,10.13h10.41v3.01h-6.28v3.44h6.02v2.93h-6.02v6.37h-4.13V10.13h0Z" fill="#fff"/> <path d="M64.88,10.13h7.4c2.75,0,4.99,1.29,4.99,3.96,0,2.15-.95,3.53-3.01,3.96v.09c1.29,.34,1.46,1.55,2.24,3.53l1.55,4.3h-4.3l-.86-2.84c-.86-2.67-1.38-3.36-2.93-3.36h-.86v6.2h-4.13l-.09-15.83h0Zm4.13,6.54h1.12c1.29,0,3.01-.09,3.01-1.81,0-1.46-1.46-1.72-3.01-1.72h-1.12v3.53Z" fill="#fff"/> <path d="M84.24,10.13h5.08l6.02,15.75h-4.56l-1.2-3.36h-5.85l-1.2,3.36h-4.22l5.94-15.75Zm2.58,3.18h0l-2.07,6.11h3.87l-1.81-6.11Z" fill="#fff"/> <g> <path d="M173.54,11.59l-1.49,1.75c-.87-.79-1.75-1.14-2.8-1.14-2.1,0-3.67,1.57-3.67,5.68s1.57,5.68,3.76,5.68c1.31,0,2.19-.61,3.06-1.31l1.31,1.75c-.87,.96-2.54,1.84-4.63,1.84-3.94,0-6.73-2.8-6.73-7.96s2.89-7.87,6.56-7.87c2.19,0,3.41,.52,4.63,1.57Z" fill="#fff"/> <path d="M187.71,17.89c0,4.98-2.62,7.96-6.65,7.96s-6.65-2.89-6.65-7.96,2.62-7.96,6.65-7.96c4.11,.09,6.65,2.89,6.65,7.96Zm-10.23,.09c0,4.11,1.4,5.68,3.59,5.68s3.59-1.57,3.59-5.68-1.31-5.68-3.59-5.68c-2.27-.09-3.59,1.57-3.59,5.68Z" fill="#fff"/> <path d="M197.33,25.58l-5.16-12.33c.17,1.31,.44,3.32,.44,6.12v6.21h-2.62V10.36h3.67l5.33,12.33c-.17-.87-.44-3.06-.44-5.16v-7.17h2.62v15.22h-3.85Z" fill="#fff"/> <path d="M213.85,11.85l-1.49,1.66c-1.05-.87-2.1-1.31-3.32-1.31-1.31,0-2.36,.61-2.36,1.84,0,1.14,.61,1.57,3.15,2.36,2.62,.87,4.46,1.92,4.46,4.81,0,2.71-2.19,4.63-5.77,4.63-2.36,0-4.28-.87-5.51-2.1l1.57-1.66c1.05,.96,2.27,1.57,3.94,1.57s2.8-.79,2.8-2.27c0-1.31-.61-1.84-2.97-2.62-3.24-.96-4.63-2.27-4.63-4.63,0-2.54,2.19-4.2,5.16-4.2,2.19,.09,3.67,.79,4.98,1.92Z" fill="#fff"/> <path d="M221.99,25.84c-3.76,0-5.68-2.19-5.68-5.33V10.36h2.89v10.06c0,2.19,.87,3.24,2.71,3.24s2.71-1.05,2.71-3.24V10.36h2.97v10.23c.09,3.06-1.92,5.25-5.6,5.25Z" fill="#fff"/> <path d="M239.48,23.13l-.35,2.36h-8.66V10.36h2.89v12.85h6.12v-.09Z" fill="#fff"/> <path d="M244.9,12.64v12.85h-2.97V12.64h-4.11v-2.27h11.28l-.26,2.27h-3.94Z" fill="#fff"/> <path d="M250.84,25.58V10.36h2.97v15.22h-2.97Z" fill="#fff"/> <path d="M263.87,25.84l-5.16-12.33c.17,1.31,.44,3.32,.44,6.12v6.21h-2.62V10.63h3.67l5.33,12.33c-.17-.87-.44-3.06-.44-5.16v-7.17h2.62v15.22s-3.85,0-3.85,0Z" fill="#fff"/> <path d="M281.63,12.11l-1.57,1.66c-.96-.87-1.84-1.22-3.15-1.22-2.19,0-4.02,1.66-4.02,5.68s1.22,5.68,3.59,5.68c.87,0,1.66-.17,2.36-.61v-3.94h-2.27l-.26-2.19h5.42v7.43c-1.49,.87-3.32,1.49-5.33,1.49-4.28,0-6.56-2.71-6.56-7.96s3.24-7.96,6.91-7.96c2.19,.09,3.67,.79,4.9,1.92Z" fill="#fff"/> </g> <path d="M151.85,17.5l4.81-5.41-7.1-1.56,.72-7.22-6.62,2.95-3.67-6.25-3.67,6.25-6.62-2.95,.72,7.22-7.1,1.56,4.81,5.41-4.81,5.41,7.1,1.56-.72,7.22,6.62-2.95,3.67,6.25,3.67-6.25,6.62,2.95-.72-7.22,7.1-1.56-4.81-5.41Zm1.56-4.33l-3.01,3.43-2.65-1.56,1.2-2.83,4.45,.96Zm-10.52,13.23l-2.41-2.1,1.08-1.86,1.98,.9-.66,3.07Zm-6.49-3.13l2.04-.9,1.08,1.86-2.41,2.1-.72-3.07Zm.72-14.67l2.41,2.1-1.08,1.92-2.04-.9,.72-3.13Zm6.49,3.13l-1.98,.9-1.08-1.86,2.41-2.1,.66,3.07Zm2.65,3.25l-2.1-.42,.18-2.16,3.19-.3-1.26,2.89Zm-1.92,3.19l.9,1.02-1.32,.3-.84,.18,.12,.9,.12,1.38-1.26-.54-.84-.36-.42,.78-.72,1.2-.66-1.14-.48-.84-.84,.36-1.32,.54,.12-1.38,.12-.9-.9-.12-1.38-.3,.9-1.02,.6-.66-.6-.66-.9-1.02,1.32-.3,.9-.18-.12-.9-.12-1.38,1.26,.54,.84,.36,.42-.78,.66-1.14,.66,1.14,.42,.78,.84-.36,1.26-.54v1.26l-.12,.9,.9,.18,1.32,.3-.9,1.08-.6,.66,.66,.66Zm-8.66-5.83l.18,2.16-2.1,.48-1.26-2.95,3.19,.3Zm-2.23,3.55l1.44,1.62-1.44,1.68-2.77-1.62,2.77-1.68Zm.3,4.15l2.1,.48-.18,2.23-3.19,.3,1.26-3.01Zm10.58,2.65l-.18-2.23,2.1-.48,1.26,2.95-3.19-.24Zm2.23-3.55l-1.44-1.62,1.44-1.62,2.77,1.62-2.77,1.62Zm1.32-8.48l-3.01,.3-.66-3.01,4.15-1.8-.48,4.51Zm-7.88-7.22l2.29,3.91-2.29,2.04-2.29-2.04,2.29-3.91Zm-4.15,4.45l-.66,3.01-3.01-.3-.42-4.51,4.09,1.8Zm-9.26,5.23l4.45-.96,1.2,2.77-2.59,1.56-3.07-3.37Zm0,8.72l3.01-3.43,2.59,1.56-1.2,2.83-4.39-.96Zm5.53,2.59l3.01-.3,.72,2.95-4.15,1.8,.42-4.45Zm7.88,7.22l-2.29-3.91,2.29-2.04,2.29,2.04-2.29,3.91Zm4.15-4.57l.66-2.95,3.01,.3,.42,4.51-4.09-1.86Zm4.81-4.27l-1.2-2.77,2.59-1.56,3.01,3.43-4.39,.9Z" fill="#306bb0"/> </symbol> </g> <g id="_noscript-icons"> <symbol id="_noscript-warning" viewBox="0 0 28.21 25"> <path d="M27.91,21.7L16.01,1.1c-.84-1.47-2.96-1.47-3.81,0L.3,21.7c-.85,1.47,.21,3.3,1.9,3.3H26c1.69,0,2.75-1.83,1.91-3.3ZM15.75,7.44l-.46,9.42h-2.37l-.48-9.42h3.31Zm-1.65,14.25c-1.12,0-1.87-.81-1.87-1.89s.77-1.89,1.87-1.89,1.83,.79,1.85,1.89c0,1.08-.73,1.89-1.85,1.89Z" fill="#f47821"/> <polygon points="15.77 7.47 15.31 16.89 12.94 16.89 12.46 7.47 15.77 7.47" fill="#fff"/> <path d="M14.1,21.69c-1.12,0-1.87-.81-1.87-1.89s.77-1.89,1.87-1.89,1.83,.79,1.85,1.89c0,1.08-.73,1.89-1.85,1.89Z" fill="#fff"/> </symbol> </g> </svg> </div>  <main class="main"> <header class="header"> <div class="inner"> <a href="/language" class="header-link"> <span class="heading1">Wolfram Language & System</span> <span class="heading2">Documentation Center</span> </a> <div class="right"> <form class="search" method="get" name="searchpageform" action="/search/" id="ref-search-form"> <input type="submit" value="q" id="search-button"><input id="query" name="query" type="text" value="" placeholder="Search"><button class="clearfield"></button> </form> <a class="language-home" href="http://www.wolfram.com/language">Wolfram Language Home Page »</a> </div> </div> </header>  <div class="inner main-content"> <nav class="topContentWrap"><span class="badge">BUILT-IN SYMBOL</span><ul class="dropdown"> <li> <a href="#" class="menu see-also">See Also</a> <ul class="sub_menu"> <li> <a class="sub-ref" href="/language/ref/Apply.html"><span class="dropdownPad">Apply</span></a> </li> <li> <a class="sub-ref" href="/language/ref/Scan.html"><span class="dropdownPad">Scan</span></a> </li> <li> <a class="sub-ref" href="/language/ref/MapAll.html"><span class="dropdownPad">MapAll</span></a> </li> <li> <a class="sub-ref" href="/language/ref/MapAt.html"><span class="dropdownPad">MapAt</span></a> </li> <li> <a class="sub-ref" href="/language/ref/MapIndexed.html"><span class="dropdownPad">MapIndexed</span></a> </li> <li> <a class="sub-ref" href="/language/ref/MapApply.html"><span class="dropdownPad">MapApply</span></a> </li> <li> <a class="sub-ref" href="/language/ref/MapThread.html"><span class="dropdownPad">MapThread</span></a> </li> <li> <a class="sub-ref" href="/language/ref/SubsetMap.html"><span class="dropdownPad">SubsetMap</span></a> </li> <li> <a class="sub-ref" href="/language/ref/AssociationMap.html"><span class="dropdownPad">AssociationMap</span></a> </li> <li> <a class="sub-ref" href="/language/ref/KeyMap.html"><span class="dropdownPad">KeyMap</span></a> </li> <li> <a class="sub-ref" href="/language/ref/KeyValueMap.html"><span class="dropdownPad">KeyValueMap</span></a> </li> <li> <a class="sub-ref" href="/language/ref/ParallelMap.html"><span class="dropdownPad">ParallelMap</span></a> </li> <li> <a class="sub-ref" href="/language/ref/Level.html"><span class="dropdownPad">Level</span></a> </li> <li> <a class="sub-ref" href="/language/ref/Operate.html"><span class="dropdownPad">Operate</span></a> </li> <li> <a class="sub-ref" href="/language/ref/Comap.html"><span class="dropdownPad">Comap</span></a> </li> <li> <a class="sub-ref" href="/language/ref/Through.html"><span class="dropdownPad">Through</span></a> </li> <li> <a class="sub-ref" href="/language/ref/Thread.html"><span class="dropdownPad">Thread</span></a> </li> <li> <a class="sub-ref" href="/language/ref/ImageApply.html"><span class="dropdownPad">ImageApply</span></a> </li> </ul> </li> <li> <a href="#" class="menu related-guides">Related Guides</a> <ul class="sub_menu"> <li> <a href="/language/guide/ApplyingFunctionsToLists.html"><span class="dropdownPad">Applying Functions to Lists</span></a> </li> <li> <a href="/language/guide/PartsOfMatrices.html"><span class="dropdownPad">Parts of Matrices</span></a> </li> <li> <a href="/language/guide/ListManipulation.html"><span class="dropdownPad">List Manipulation</span></a> </li> <li> <a href="/language/guide/FunctionalProgramming.html"><span class="dropdownPad">Functional Programming</span></a> </li> <li> <a href="/language/guide/Syntax.html"><span class="dropdownPad">Wolfram Language Syntax</span></a> </li> <li> <a href="/language/guide/Expressions.html"><span class="dropdownPad">Expressions</span></a> </li> <li> <a href="/language/guide/PartsOfExpressions.html"><span class="dropdownPad">Parts of Expressions</span></a> </li> <li> <a href="/language/guide/Associations.html"><span class="dropdownPad">Associations</span></a> </li> <li> <a href="/language/guide/FunctionCompositionAndOperatorForms.html"><span class="dropdownPad">Function Composition & Operator Forms</span></a> </li> <li> <a href="/language/guide/LoopingConstructs.html"><span class="dropdownPad">Looping Constructs</span></a> </li> <li> <a href="/language/guide/HandlingArraysOfData.html"><span class="dropdownPad">Handling Arrays of Data</span></a> </li> <li> <a href="/language/guide/LanguageOverview.html"><span class="dropdownPad">Language Overview</span></a> </li> </ul> </li> <li> <a href="#" class="menu see-also">Tech Notes</a> <ul class="sub_menu"> <li> <a href="/language/tutorial/FunctionalOperations.html#28027"><span class="dropdownPad">Applying Functions to Parts of Expressions</span></a> </li> </ul> </li> </ul></nav><div class="main-heading"><h1 class="main-title">Map <span class="OperatorCharacter"><img src="Files/Map.en/char1.png" height="22" width="41" style="vertical-align:middle;" alt="" title="" /></span></h1><div class="iconography" data-src="s= d= m= c= u= l= n= e="></div></div><div class="functionIntroWrap"> <div class="functionIntro"> <p class="code clipboard-inline" data-code="Files/Map.en/usage_1.txt"><span class="IF"><a href="/language/ref/Map.html">Map</a><span class="openbracket">[</span><span class="TI">f</span><span class="comma">,</span><span class="TI">expr</span><span class="closebracket">]</span></span> or <span class="IF"><span class="TI">f</span>/@<span class="TI">expr</span></span></p> <p class="code-description">applies <span class="IF"><span class="TI">f</span></span> to each element on the first level in <span class="IF"><span class="TI">expr</span></span>. </p> </div> <div class="functionIntro"> <p class="code clipboard-inline" data-code="Files/Map.en/usage_2.txt"> <span class="IF"><a href="/language/ref/Map.html">Map</a><span class="openbracket">[</span><span class="TI">f</span><span class="comma">,</span><span class="TI">expr</span><span class="comma">,</span><span class="TI">levelspec</span><span class="closebracket">]</span></span> </p> <p class="code-description">applies <span class="IF"><span class="TI">f</span></span> to parts of <span class="IF"><span class="TI">expr</span></span> specified by <span class="IF"><span class="TI">levelspec</span></span>. </p> </div> <div class="functionIntro"> <p class="code clipboard-inline" data-code="Files/Map.en/usage_3.txt"> <span class="IF"><a href="/language/ref/Map.html">Map</a><span class="openbracket">[</span><span class="TI">f</span><span class="closebracket">]</span></span> </p> <p class="code-description">represents an operator form of <span class="IF"><a href="/language/ref/Map.html">Map</a></span> that can be applied to an expression.</p> </div> </div><section id="DetailsAndOptions"><div class="inner"> <h1 class="toggle">Details and Options</h1> <div class="NotesThumbnails"> <img src="Files/Map.en/details_1.png" height="71" width="171" alt="" /> </div> <div class="hideable"> <ul class="functionList"> <li><a name="12503"></a><span class="IF"><a href="/language/ref/Map.html">Map</a></span> uses standard level specifications:</li> <li class="NotesTable"> <a name="10861"></a> <table> <col width="1%" /> <col width="35%" /> <col width="50%" /> <tr class="lineAbove" style=""><td /><td><span class="TI">n</span></td><td><span class="TT">levels <span class="IF">1</span> through <span class="IF"><span class="TI">n</span></span></span></td></tr> <tr class="" style=""><td /><td><a href="/language/ref/Infinity.html">Infinity</a></td><td><span class="TT">levels <span class="IF">1</span> through <span class="IF"><a href="/language/ref/Infinity.html">Infinity</a></span></span></td></tr> <tr class="" style=""><td /><td><span class="openbrace">{</span><span class="TI">n</span><span class="closebrace">}</span></td><td><span class="TT">level <span class="IF"><span class="TI">n</span></span> only</span></td></tr> <tr class="" style=""><td /><td><span class="openbrace">{</span><span class="TI">n</span><sub><span class="TR">1</span></sub><span class="comma">,</span><span class="TI">n</span><sub><span class="TR">2</span></sub><span class="closebrace">}</span></td><td><span class="TT">levels <span class="IF"><span class="TI">n</span><sub><span class="TR">1</span></sub></span> through <span class="IF"><span class="TI">n</span><sub><span class="TR">2</span></sub></span></span></td></tr> </table> </li> <li><a name="22431"></a>The default value for <span class="IF"><span class="TI">levelspec</span></span> in <span class="IF"><a href="/language/ref/Map.html">Map</a></span> is <span class="IF"><span class="specialcharacters"><span class="openbrace">{</span>1<span class="closebrace">}</span></span></span>. </li> <li><a name="29082"></a>A positive level <span class="IF"><span class="TI">n</span></span> consists of all parts of <span class="IF"><span class="TI">expr</span></span> specified by <span class="IF"><span class="TI">n</span></span> indices.</li> <li><a name="12455"></a>A negative level <span class="IF">-<span class="TI">n</span></span> consists of all parts of <span class="IF"><span class="TI">expr</span></span> with depth <span class="IF"><span class="TI">n</span></span>.</li> <li><a name="14197"></a>Level <span class="IF"><span class="special-character Dash">–</span>1</span> consists of numbers, symbols, and other objects that do not have subparts.</li> <li><a name="22106"></a>Level <span class="IF">0</span> corresponds to the whole expression.</li> <li><a name="8752"></a>With the option setting <span class="IF"><a href="/language/ref/Heads.html">Heads</a>-><a href="/language/ref/True.html">True</a></span>, <span class="IF"><a href="/language/ref/Map.html">Map</a></span> includes heads of expressions and their parts. </li> <li><a name="17296"></a><span class="IF"><a href="/language/ref/Map.html">Map</a></span> always effectively constructs a complete new expression and then evaluates it.</li> <li><a name="140851925"></a>If <span class="IF"><span class="TI">expr</span></span> is an <span class="IF"><a href="/language/ref/Association.html">Association</a></span> object, <span class="IF"><a href="/language/ref/Map.html">Map</a><span class="openbracket">[</span><span class="TI">f</span><span class="comma">,</span><span class="TI">expr</span><span class="closebracket">]</span></span> applies <span class="IF"><span class="TI">f</span></span> to the values in the association.<a href="#495990727" class="ExampleButtonLink"> <span class="special-character RightGuillemet">»</span></a></li> <li><a name="26281"></a>If <span class="IF"><span class="TI">expr</span></span> is a <span class="IF"><a href="/language/ref/SparseArray.html">SparseArray</a></span> object or structured array, <span class="IF"><a href="/language/ref/Map.html">Map</a><span class="openbracket">[</span><span class="TI">f</span><span class="comma">,</span><span class="TI">expr</span><span class="closebracket">]</span></span> applies <span class="IF"><span class="TI">f</span></span> to the values or subarrays that appear in <span class="IF"><span class="TI">expr</span></span>.<a href="#1501529872" class="ExampleButtonLink"> <span class="special-character RightGuillemet">»</span></a> </li> <li><a name="21236977"></a><span class="IF"><a href="/language/ref/Map.html">Map</a><span class="openbracket">[</span><span class="TI">f</span><span class="closebracket">]</span><span class="openbracket">[</span><span class="TI">expr</span><span class="closebracket">]</span></span> is equivalent to <span class="IF"><a href="/language/ref/Map.html">Map</a><span class="openbracket">[</span><span class="TI">f</span><span class="comma">,</span><span class="TI">expr</span><span class="closebracket">]</span></span>.</li> <li><a name="42588865"></a><span class="IF"><a href="/language/ref/Parallelize.html">Parallelize</a><span class="openbracket">[</span>Map<span class="openbracket">[</span><span class="TI">f</span><span class="comma">,</span><span class="TI">expr</span><span class="closebracket">]</span><span class="closebracket">]</span></span> or <span class="IF"><a href="/language/ref/ParallelMap.html">ParallelMap</a><span class="openbracket">[</span><span class="TI">f</span><span class="comma">,</span><span class="TI">expr</span><span class="closebracket">]</span></span> computes <span class="IF"><a href="/language/ref/Map.html">Map</a><span class="openbracket">[</span><span class="TI">f</span><span class="comma">,</span><span class="TI">expr</span><span class="closebracket">]</span></span> in parallel on all subkernels.<a href="#621200611" class="ExampleButtonLink"> <span class="special-character RightGuillemet">»</span></a></li> </ul> </div> </div></section><section id="Examples"><h1 id="1136049091" class="toggle open">Examples</h1><span class="open-all on">open all</span><span class="close-all">close all</span><div class="hideable"> <div> <h2 id="299966960" class="toggle open">Basic Examples<span class="special-character NonBreakingSpace"> </span><span class="special-character NonBreakingSpace"> </span><span class="total-examples">(5)</span></h2> <div class="hideable"> <p><a name="2025320553"></a>Evaluate <span class="IF">f</span> on each element of a list:</p> <div id="24998" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_1.png" data-in-width="126" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-tko" data-code="Files/Map.en/i_1.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_1.png" data-out-width="122" data-out-height="18" ></div> <p><a name="6922"></a>Use the short input form:</p> <div id="10635" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_2.png" data-in-width="105" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-ihp" data-code="Files/Map.en/i_2.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_2.png" data-out-width="122" data-out-height="18" ></div> <div class="ExLine"><a name="28888"></a></div> <p><a name="8153"></a>Use explicit pure functions:</p> <div id="28680" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_3.png" data-in-width="170" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-wey" data-code="Files/Map.en/i_3.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_3.png" data-out-width="223" data-out-height="18" ></div> <div id="1705626042" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_4.png" data-in-width="188" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-2hrrrg" data-code="Files/Map.en/i_4.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_4.png" data-out-width="61" data-out-height="18" ></div> <div class="ExLine"><a name="25678"></a></div> <p><a name="6450"></a>Map at top level:</p> <div id="14801" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_5.png" data-in-width="147" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-lpf" data-code="Files/Map.en/i_5.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_5.png" data-out-width="106" data-out-height="18" ></div> <p><a name="14199"></a>Map at level <span class="IF">2</span>:</p> <div id="20855" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_6.png" data-in-width="172" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-qdl" data-code="Files/Map.en/i_6.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_6.png" data-out-width="139" data-out-height="18" ></div> <p><a name="454116837"></a>Map at levels <span class="IF">1</span> and <span class="IF">2</span>:</p> <div id="950123161" class="clipboard-input" data-in="In[3]:=" data-in-num="3" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_7.png" data-in-width="162" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-pzyp0b" data-code="Files/Map.en/i_7.txt" ></div> <div class="clipboard-output" data-out="Out[3]=" data-out-num="3" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_7.png" data-out-width="160" data-out-height="18" ></div> <div class="ExLine"><a name="897406992"></a></div> <p><a name="1526725247"></a>Use a map operator:</p> <div id="941661663" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_8.png" data-in-width="113" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-puxc2p" data-code="Files/Map.en/i_8.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_8.png" data-out-width="99" data-out-height="18" ></div> <div class="ExLine"><a name="1144486"></a></div> <p><a name="495990727"></a>Map a function over values in <span class="IF"><a href="/language/ref/Association.html">Association</a></span>:</p> <div id="1317774688" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_9.png" data-in-width="155" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-v2urqq" data-code="Files/Map.en/i_9.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_9.png" data-out-width="121" data-out-height="18" ></div> </div> </div> <div> <h2 id="10573" class="toggle">Scope<span class="special-character NonBreakingSpace"> </span><span class="special-character NonBreakingSpace"> </span><span class="total-examples">(11)</span></h2> <div class="hideable"> <div> <h3 id="1181" class="toggle">Level Specifications<span class="special-character NonBreakingSpace"> </span><span class="special-character NonBreakingSpace"> </span><span class="total-examples">(6)</span></h3> <div class="hideable"> <p><a name="4015"></a>Map at level <span class="IF">1</span> (default):</p> <div id="16626" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_10.png" data-in-width="108" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-m34" data-code="Files/Map.en/i_10.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_10.png" data-out-width="59" data-out-height="18" ></div> <p><a name="9168"></a>Map down to level <span class="IF">2</span>:</p> <div id="17906" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_11.png" data-in-width="122" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-n3o" data-code="Files/Map.en/i_11.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_11.png" data-out-width="70" data-out-height="18" ></div> <p><a name="12097"></a>Map at level <span class="IF">2</span>:</p> <div id="28118" class="clipboard-input" data-in="In[3]:=" data-in-num="3" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_12.png" data-in-width="133" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-vzc" data-code="Files/Map.en/i_12.txt" ></div> <div class="clipboard-output" data-out="Out[3]=" data-out-num="3" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_12.png" data-out-width="59" data-out-height="18" ></div> <p><a name="15199"></a>Map on levels <span class="IF">0</span> through <span class="IF">2</span>:</p> <div id="11785" class="clipboard-input" data-in="In[4]:=" data-in-num="4" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_13.png" data-in-width="147" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-jdn" data-code="Files/Map.en/i_13.txt" ></div> <div class="clipboard-output" data-out="Out[4]=" data-out-num="4" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_13.png" data-out-width="81" data-out-height="18" ></div> <p><a name="19199"></a>Map down to level <span class="IF">3</span>:</p> <div id="12420" class="clipboard-input" data-in="In[5]:=" data-in-num="5" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_14.png" data-in-width="122" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-jva" data-code="Files/Map.en/i_14.txt" ></div> <div class="clipboard-output" data-out="Out[5]=" data-out-num="5" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_14.png" data-out-width="81" data-out-height="18" ></div> <div class="ExLine"><a name="18271"></a></div> <p><a name="15813"></a>Map on all levels, starting at level <span class="IF">1</span>:</p> <div id="27415" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_15.png" data-in-width="159" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-vft" data-code="Files/Map.en/i_15.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_15.png" data-out-width="102" data-out-height="18" ></div> <p><a name="318"></a>Map also at level <span class="IF">0</span>:</p> <div id="3580" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_16.png" data-in-width="184" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-c1q" data-code="Files/Map.en/i_16.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_16.png" data-out-width="113" data-out-height="18" ></div> <div class="ExLine"><a name="7267"></a></div> <p><a name="8387"></a>Negative levels:</p> <div id="13444" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_17.png" data-in-width="131" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-knq" data-code="Files/Map.en/i_17.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_17.png" data-out-width="102" data-out-height="18" ></div> <div id="14507" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_18.png" data-in-width="131" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-lg9" data-code="Files/Map.en/i_18.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_18.png" data-out-width="91" data-out-height="18" ></div> <div id="17827" class="clipboard-input" data-in="In[3]:=" data-in-num="3" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_19.png" data-in-width="131" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-n1h" data-code="Files/Map.en/i_19.txt" ></div> <div class="clipboard-output" data-out="Out[3]=" data-out-num="3" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_19.png" data-out-width="81" data-out-height="18" ></div> <div class="ExLine"><a name="26431"></a></div> <p><a name="7152"></a>Positive and negative levels can be mixed:</p> <div id="30271" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_20.png" data-in-width="156" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-xm5" data-code="Files/Map.en/i_20.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_20.png" data-out-width="70" data-out-height="18" ></div> <div class="ExLine"><a name="4693"></a></div> <p><a name="19885"></a>Different heads at each level:</p> <div id="337" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_21.png" data-in-width="225" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-jn" data-code="Files/Map.en/i_21.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_21.png" data-out-width="131" data-out-height="18" ></div> <div class="ExLine"><a name="678448005"></a></div> <p><a name="871683788"></a>Include heads in the levels specified:</p> <div id="1967770012" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_22.png" data-in-width="208" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-6tufce" data-code="Files/Map.en/i_22.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_22.png" data-out-width="119" data-out-height="18" ></div> </div> </div> <div> <h3 id="1413535319" class="toggle">Types of Expressions<span class="special-character NonBreakingSpace"> </span><span class="special-character NonBreakingSpace"> </span><span class="total-examples">(5)</span></h3> <div class="hideable"> <p><a name="31561"></a><span class="IF"><a href="/language/ref/Map.html">Map</a></span> can be used on expressions with any head:</p> <div id="23245" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_23.png" data-in-width="116" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-r7z" data-code="Files/Map.en/i_23.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_23.png" data-out-width="105" data-out-height="18" ></div> <div id="28274" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_24.png" data-in-width="124" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-v3o" data-code="Files/Map.en/i_24.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_24.png" data-out-width="96" data-out-height="19" ></div> <div class="ExLine"><a name="150217939"></a></div> <p><a name="1501529872"></a><span class="IF"><a href="/language/ref/Map.html">Map</a></span> can be used on sparse arrays:</p> <div id="1754447050" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_25.png" data-in-width="233" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-3at6ak" data-code="Files/Map.en/i_25.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_25.png" data-out-width="233" data-out-height="41" ></div> <div id="1818349502" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_26.png" data-in-width="61" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-4cvtqo" data-code="Files/Map.en/i_26.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_26.png" data-out-width="233" data-out-height="53" ></div> <div id="1032589886" class="clipboard-input" data-in="In[3]:=" data-in-num="3" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_27.png" data-in-width="68" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-rc19qo" data-code="Files/Map.en/i_27.txt" ></div> <div class="clipboard-output" data-out="Out[3]=" data-out-num="3" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_27.png" data-out-width="246" data-out-height="18" ></div> <div class="ExLine"><a name="297816745"></a></div> <p><a name="763122888"></a>Use <span class="IF"><a href="/language/ref/Map.html">Map</a></span> with structured arrays, such as <span class="IF"><a href="/language/ref/SymmetrizedArray.html">SymmetrizedArray</a></span>:</p> <div id="1952701220" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src-swap="Files/Map.en/I_28.png" data-big="496 19" data-small="496 19" data-link="https://wolfram.com/xid/0deifc-6kvf6u" data-code="Files/Map.en/i_28.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_28.png" data-out-width="318" data-out-height="41" ></div> <div id="484428040" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_29.png" data-in-width="39" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-iao9cq" data-code="Files/Map.en/i_29.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_29.png" data-out-width="539" data-out-height="85" ></div> <p><a name="1029676343"></a>Use <span class="IF"><a href="/language/ref/Map.html">Map</a></span> to apply a function to the elements of a structured array of type <span class="IF"><a href="/language/ref/QuantityArray.html">QuantityArray</a></span>:</p> <div id="171400675" class="clipboard-input" data-in="In[3]:=" data-in-num="3" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_30.png" data-in-width="283" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-c4bzv5" data-code="Files/Map.en/i_30.txt" ></div> <div class="clipboard-output" data-out="Out[3]=" data-out-num="3" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_30.png" data-out-width="227" data-out-height="41" ></div> <div id="400964118" class="clipboard-input" data-in="In[4]:=" data-in-num="4" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_31.png" data-in-width="88" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-gw0b6g" data-code="Files/Map.en/i_31.txt" ></div> <div class="clipboard-output" data-out="Out[4]=" data-out-num="4" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_31.png" data-out-width="295" data-out-height="19" ></div> <div class="ExLine"><a name="341992172"></a></div> <p><a name="3154145"></a>Map at the second level of a nested <span class="IF"><a href="/language/ref/Association.html">Association</a></span>:</p> <div id="2193923" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_32.png" data-in-width="283" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-bla4l" data-code="Files/Map.en/i_32.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_32.png" data-out-width="220" data-out-height="18" ></div> <div class="ExLine"><a name="987696550"></a></div> <p><a name="226412180"></a>Map at several levels in an <span class="IF"><a href="/language/ref/Association.html">Association</a></span>:</p> <div id="35845334" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_33.png" data-in-width="308" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-vmkp0" data-code="Files/Map.en/i_33.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_33.png" data-out-width="269" data-out-height="18" ></div> </div> </div> </div> </div> <div> <h2 id="7768" class="toggle">Options<span class="special-character NonBreakingSpace"> </span><span class="special-character NonBreakingSpace"> </span><span class="total-examples">(1)</span></h2> <div class="hideable"> <div> <h3 id="29022" class="toggle">Heads<span class="special-character NonBreakingSpace"> </span><span class="special-character NonBreakingSpace"> </span><span class="total-examples">(1)</span></h3> <div class="hideable"> <p><a name="1342037577"></a>By default, the function is not mapped onto the heads:</p> <div id="876496194" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_34.png" data-in-width="96" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-or4m2s" data-code="Files/Map.en/i_34.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_34.png" data-out-width="74" data-out-height="18" ></div> <div id="1926551480" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_35.png" data-in-width="192" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-55ayw6" data-code="Files/Map.en/i_35.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_35.png" data-out-width="103" data-out-height="18" ></div> </div> </div> </div> </div> <div> <h2 id="19413" class="toggle">Applications<span class="special-character NonBreakingSpace"> </span><span class="special-character NonBreakingSpace"> </span><span class="total-examples">(4)</span></h2> <div class="hideable"> <p><a name="84624376"></a>Reverse all sublists:</p> <div id="5000" class="clipboard-input" data-in="In[3]:=" data-in-num="3" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_36.png" data-in-width="192" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-d46" data-code="Files/Map.en/i_36.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_36.png" data-out-width="103" data-out-height="18" ></div> <div class="ExLine"><a name="17537"></a></div> <p><a name="30038"></a>Add the same vector to every vector in a list:</p> <div id="21388" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_37.png" data-in-width="285" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-qse" data-code="Files/Map.en/i_37.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_37.png" data-out-width="275" data-out-height="18" ></div> <div class="ExLine"><a name="13289"></a></div> <p><a name="31647"></a>Frame integers that are prime:</p> <div id="3181" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_38.png" data-in-width="280" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-cqn" data-code="Files/Map.en/i_38.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_38.png" data-out-width="404" data-out-height="26" ></div> <div class="ExLine"><a name="1194342749"></a></div> <p><a name="1150043440"></a>Supply additional constant arguments by using a pure function:</p> <div id="1172020726" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_39.png" data-in-width="145" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-tn2q9k" data-code="Files/Map.en/i_39.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_39.png" data-out-width="113" data-out-height="18" ></div> </div> </div> <div> <h2 id="17482" class="toggle">Properties & Relations<span class="special-character NonBreakingSpace"> </span><span class="special-character NonBreakingSpace"> </span><span class="total-examples">(9)</span></h2> <div class="hideable"> <p><a name="162060431"></a>A function of several arguments can be mapped with <span class="IF"><a href="/language/ref/MapThread.html">MapThread</a></span>:</p> <div id="749716471" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_40.png" data-in-width="205" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-mona7t" data-code="Files/Map.en/i_40.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_40.png" data-out-width="113" data-out-height="18" ></div> <div class="ExLine"><a name="1591033441"></a></div> <p><a name="898510254"></a><span class="IF"><a href="/language/ref/MapIndexed.html">MapIndexed</a></span> passes the index of an element to the mapped function:</p> <div id="884653580" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_41.png" data-in-width="146" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-owzhcu" data-code="Files/Map.en/i_41.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_41.png" data-out-width="137" data-out-height="18" ></div> <div class="ExLine"><a name="292063173"></a></div> <p><a name="506324401"></a><span class="IF"><a href="/language/ref/MapAll.html">MapAll</a></span> is equivalent to a specific level specification in <span class="IF"><a href="/language/ref/Map.html">Map</a></span>:</p> <div id="1493791351" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_42.png" data-in-width="197" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-yzne2h" data-code="Files/Map.en/i_42.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_42.png" data-out-width="185" data-out-height="18" ></div> <div id="479676633" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_43.png" data-in-width="168" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-h7ve47" data-code="Files/Map.en/i_43.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_43.png" data-out-width="185" data-out-height="18" ></div> <div class="ExLine"><a name="184240786"></a></div> <p><a name="19840"></a><span class="IF"><a href="/language/ref/Scan.html">Scan</a></span> does the same as <span class="IF"><a href="/language/ref/Map.html">Map</a></span>, but without returning a result:</p> <div id="26542" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_44.png" data-in-width="108" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-urk" data-code="Files/Map.en/i_44.txt" ></div> <div class="Print"> <a name="150995486"></a> <img src="Files/Map.en/Image_1.gif" height="17" width="8" class="FlushInput" /> </div> <div class="Print"> <a name="38488096"></a> <img src="Files/Map.en/Image_2.gif" height="17" width="8" class="FlushInput" /> </div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_44.png" data-out-width="60" data-out-height="18" ></div> <div id="31409" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_45.png" data-in-width="111" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-yir" data-code="Files/Map.en/i_45.txt" ></div> <div class="Print"> <a name="107953894"></a> <img src="Files/Map.en/Image_3.gif" height="17" width="8" class="FlushInput" /> </div> <div class="Print"> <a name="182733869"></a> <img src="Files/Map.en/Image_4.gif" height="17" width="8" class="FlushInput" /> </div> <div class="ExLine"><a name="170022063"></a></div> <p><a name="240790950"></a>Functions with attribute <span class="IF"><a href="/language/ref/Listable.html">Listable</a></span> are mapped automatically:</p> <div id="768169016" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_46.png" data-in-width="99" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-mzmtai" data-code="Files/Map.en/i_46.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_45.png" data-out-width="214" data-out-height="18" ></div> <div id="294912975" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_47.png" data-in-width="99" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-e5vald" data-code="Files/Map.en/i_47.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_46.png" data-out-width="85" data-out-height="22" ></div> <div id="962720446" class="clipboard-input" data-in="In[3]:=" data-in-num="3" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_48.png" data-in-width="132" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-p7gp4w" data-code="Files/Map.en/i_48.txt" ></div> <div class="clipboard-output" data-out="Out[3]=" data-out-num="3" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_47.png" data-out-width="85" data-out-height="22" ></div> <div class="ExLine"><a name="1851017798"></a></div> <p><a name="574066102"></a><span class="IF"><a href="/language/ref/ParallelMap.html">ParallelMap</a></span> computes <span class="IF"><a href="/language/ref/Map.html">Map</a></span> in parallel:</p> <div id="138146415" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_49.png" data-in-width="307" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-cki8qp" data-code="Files/Map.en/i_49.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_48.png" data-out-width="380" data-out-height="18" ></div> <p><a name="621200611"></a><span class="IF"><a href="/language/ref/Map.html">Map</a></span> can be parallelized automatically, effectively using <span class="IF"><a href="/language/ref/ParallelMap.html">ParallelMap</a></span>:</p> <div id="21154169" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_50.png" data-in-width="333" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-mvox3" data-code="Files/Map.en/i_50.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_49.png" data-out-width="380" data-out-height="18" ></div> <div class="ExLine"><a name="1714336764"></a></div> <p><a name="1906365870"></a><span class="IF"><a href="/language/ref/Map.html">Map</a></span> wraps an expression around parts of another expression:</p> <div id="2027729420" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_51.png" data-in-width="94" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-7tjkbi" data-code="Files/Map.en/i_51.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_50.png" data-out-width="72" data-out-height="18" ></div> <p><a name="247457219"></a><span class="IF"><a href="/language/ref/Comap.html">Comap</a></span> wraps parts of an expression around another expression:</p> <div id="1570015268" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_52.png" data-in-width="114" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-z805ti" data-code="Files/Map.en/i_52.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_51.png" data-out-width="77" data-out-height="18" ></div> <div class="ExLine"><a name="1232499257"></a></div> <p><a name="787503031"></a><span class="IF"><a href="/language/ref/Map.html">Map</a></span> maps a function over the values in an association:</p> <div id="25553300" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_53.png" data-in-width="195" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-phzb6" data-code="Files/Map.en/i_53.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_52.png" data-out-width="160" data-out-height="18" ></div> <p><a name="1836552628"></a><span class="IF"><a href="/language/ref/KeyMap.html">KeyMap</a></span> maps a function over the keys in an association:</p> <div id="1259983987" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_54.png" data-in-width="218" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-u4f35h" data-code="Files/Map.en/i_54.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_53.png" data-out-width="160" data-out-height="18" ></div> <p><a name="1303970659"></a><span class="IF"><a href="/language/ref/KeyValueMap.html">KeyValueMap</a></span> maps a function over the keys and values in an association (and returns a list):</p> <div id="98446321" class="clipboard-input" data-in="In[3]:=" data-in-num="3" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_55.png" data-in-width="252" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-bwwbyb" data-code="Files/Map.en/i_55.txt" ></div> <div class="clipboard-output" data-out="Out[3]=" data-out-num="3" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_54.png" data-out-width="113" data-out-height="18" ></div> <p><a name="1234378740"></a><span class="IF"><a href="/language/ref/AssociationMap.html">AssociationMap</a></span> maps a function over the rules in an association:</p> <div id="1386884442" class="clipboard-input" data-in="In[4]:=" data-in-num="4" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_56.png" data-in-width="309" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-w7z054" data-code="Files/Map.en/i_56.txt" ></div> <div class="clipboard-output" data-out="Out[4]=" data-out-num="4" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_55.png" data-out-width="128" data-out-height="18" ></div> <div class="ExLine"><a name="1379263524"></a></div> <p><a name="225968782"></a><span class="IF"><a href="/language/ref/Map.html">Map</a><span class="openbracket">[</span><span class="TI">f</span><span class="comma">,</span><span class="TI">assoc</span><span class="closebracket">]</span></span> is equivalent to <span class="IF"><a href="/language/ref/AssociationThread.html">AssociationThread</a><span class="openbracket">[</span><a href="/language/ref/Keys.html">Keys</a><span class="openbracket">[</span><span class="TI">assoc</span><span class="closebracket">]</span><span class="special-character Rule"></span><a href="/language/ref/Map.html">Map</a><span class="openbracket">[</span><span class="TI">f</span><span class="comma">,</span><a href="/language/ref/Values.html">Values</a><span class="openbracket">[</span><span class="TI">assoc</span><span class="closebracket">]</span><span class="closebracket">]</span><span class="closebracket">]</span></span>:</p> <div id="1429527143" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_57.png" data-in-width="199" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-xxd0hl" data-code="Files/Map.en/i_57.txt" ></div> <div id="1781540476" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src-swap="Files/Map.en/I_58.png" data-big="459 19" data-small="459 19" data-link="https://wolfram.com/xid/0deifc-3qyvpq" data-code="Files/Map.en/i_58.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_56.png" data-out-width="26" data-out-height="18" ></div> </div> </div> <div> <h2 id="29447" class="toggle">Possible Issues<span class="special-character NonBreakingSpace"> </span><span class="special-character NonBreakingSpace"> </span><span class="total-examples">(1)</span></h2> <div class="hideable"> <p><a name="15665"></a><span class="IF"><a href="/language/ref/Map.html">Map</a></span> by default starts at level <span class="IF">1</span>, so does not apply the function to the whole expression:</p> <div id="10753" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_59.png" data-in-width="151" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-ikz" data-code="Files/Map.en/i_59.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_57.png" data-out-width="100" data-out-height="18" ></div> <div id="15084" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_60.png" data-in-width="176" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-lxa" data-code="Files/Map.en/i_60.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_58.png" data-out-width="111" data-out-height="18" ></div> </div> </div> <div> <h2 id="30221" class="toggle">Neat Examples<span class="special-character NonBreakingSpace"> </span><span class="special-character NonBreakingSpace"> </span><span class="total-examples">(1)</span></h2> <div class="hideable"> <p><a name="10987"></a>Show nesting structure of an expression:</p> <div id="10761" class="clipboard-input" data-in="In[1]:=" data-in-num="1" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_61.png" data-in-width="149" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-ik7" data-code="Files/Map.en/i_61.txt" ></div> <div class="clipboard-output" data-out="Out[1]=" data-out-num="1" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_59.png" data-out-width="258" data-out-height="48" ></div> <div id="8217" class="clipboard-input" data-in="In[2]:=" data-in-num="2" data-in-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/I_62.png" data-in-width="155" data-in-height="19" data-link="https://wolfram.com/xid/0deifc-gmj" data-code="Files/Map.en/i_62.txt" ></div> <div class="clipboard-output" data-out="Out[2]=" data-out-num="2" data-out-src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" data-src="Files/Map.en/O_60.png" data-out-width="315" data-out-height="140" ></div> </div> </div> <div class="clear"></div> </div></section><section id="SeeAlso" class="related-links"><div class="inner"> <h1>See Also</h1> <p class="inlineFunctionList"><span class="IF"><a href="/language/ref/Apply.html">Apply</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/Scan.html">Scan</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/MapAll.html">MapAll</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/MapAt.html">MapAt</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/MapIndexed.html">MapIndexed</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/MapApply.html">MapApply</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/MapThread.html">MapThread</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/SubsetMap.html">SubsetMap</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/AssociationMap.html">AssociationMap</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/KeyMap.html">KeyMap</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/KeyValueMap.html">KeyValueMap</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/ParallelMap.html">ParallelMap</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/Level.html">Level</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/Operate.html">Operate</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/Comap.html">Comap</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/Through.html">Through</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/Thread.html">Thread</a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="/language/ref/ImageApply.html">ImageApply</a></span></p> <p class="inlineFunctionList"><span class="sub-ref-heading">Function Repository: </span><span class="IF"><a href="https://resources.wolframcloud.com/FunctionRepository/resources/MapCases"><span class="SeeAlsoRelated">MapCases</span></a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="https://resources.wolframcloud.com/FunctionRepository/resources/MapBatched"><span class="SeeAlsoRelated">MapBatched</span></a></span><span class="special-character NonBreakingSpace"> </span><span class="inlineSeparator"></span> <span class="IF"><a href="https://resources.wolframcloud.com/FunctionRepository/resources/JoinMap"><span class="SeeAlsoRelated">JoinMap</span></a></span></p> </div></section><section id="Tutorials" class="related-links"><div class="inner"> <h1>Tech Notes</h1> <ul class="functionList"> <span class="special-character FilledVerySmallSquare">▪</span> <li> <a href="/language/tutorial/FunctionalOperations.html#28027">Applying Functions to Parts of Expressions</a> </li> </ul> </div></section><section id="RelatedGuides" class="related-links"><div class="inner"> <h1>Related Guides</h1> <ul class="functionList"> <span class="special-character FilledVerySmallSquare">▪</span> <li> <a href="/language/guide/ApplyingFunctionsToLists.html">Applying Functions to Lists</a> </li> <span class="special-character FilledVerySmallSquare">▪</span> <li> <a href="/language/guide/PartsOfMatrices.html">Parts of Matrices</a> </li> <span class="special-character FilledVerySmallSquare">▪</span> <li> <a href="/language/guide/ListManipulation.html">List Manipulation</a> </li> <span class="special-character FilledVerySmallSquare">▪</span> <li> <a href="/language/guide/FunctionalProgramming.html">Functional Programming</a> </li> <span class="special-character FilledVerySmallSquare">▪</span> <li> <a href="/language/guide/Syntax.html">Wolfram Language Syntax</a> </li> <span class="special-character FilledVerySmallSquare">▪</span> <li> <a href="/language/guide/Expressions.html">Expressions</a> </li> <span class="special-character FilledVerySmallSquare">▪</span> <li> <a href="/language/guide/PartsOfExpressions.html">Parts of Expressions</a> </li> <span class="special-character FilledVerySmallSquare">▪</span> <li> <a href="/language/guide/Associations.html">Associations</a> </li> <span class="special-character FilledVerySmallSquare">▪</span> <li> <a href="/language/guide/FunctionCompositionAndOperatorForms.html">Function Composition & Operator Forms</a> </li> <span class="special-character FilledVerySmallSquare">▪</span> <li> <a href="/language/guide/LoopingConstructs.html">Looping Constructs</a> </li> <span class="special-character FilledVerySmallSquare">▪</span> <li> <a href="/language/guide/HandlingArraysOfData.html">Handling Arrays of Data</a> </li> <span class="special-character FilledVerySmallSquare">▪</span> <li> <a href="/language/guide/LanguageOverview.html">Language Overview</a> </li> </ul> </div></section><section id="RelatedLinks" class="related-links"><div class="inner"> <h1>Related Links</h1> <ul class="functionList"> <li class="fast-intro"> <a href="http://www.wolfram.com/language/fast-introduction-for-programmers/applying-functions/">Fast Introduction for Programmers: Applying Functions</a> </li> <li class="elementary-intro"> <a href="https://www.wolfram.com/language/elementary-introduction/25-ways-to-apply-functions.html">An Elementary Introduction to the Wolfram Language</a> <a href="https://www.wolfram.com/language/elementary-introduction/25-ways-to-apply-functions.html">: Ways to Apply Functions</a> </li> <li class="nks"> <a href="http://www.wolframscience.com/nks/search/?q=Map">NKS|Online</a> <a href="http://www.wolframscience.com/nks/"> (<em>A New Kind of Science</em>)</a> </li> </ul> </div></section><section id="History" class="related-links"><div class="inner"> <h1>History</h1> <p class="inlineFunctionList"> <span class="history-text">Introduced in 1988 <span class="history-version">(1.0)</span></span> <span class="HistoryDelimiter"> | </span> <span class="history-text">Updated in 2003 <span class="history-version">(5.0)</span></span> <span class="HistoryDelimiter"><span class="plain"> <span class="special-character FilledVerySmallSquare">▪</span> </span></span> <span class="history-text"><a href="/language/guide/SummaryOfNewFeaturesIn100">2014 <span class="history-version">(10.0)</span></a></span> </p> </div></section><section id="Citations" class="citations"><div class="inner"> <div class="citation"> <span class="citation-tooltip"><button type="button" class="citation-tooltip-button"><span class="citation-text">Cite this as:</span></button><span class="citation-default clipboard-inlineblock clipboard-hover">Wolfram Research (1988), Map, Wolfram Language function, https://reference.wolfram.com/language/ref/Map.html (updated 2014).</span><span class="citation-tooltip-content"><button class="x-close-svg"><img src="/language-assets/img/CitationCloseButton.svg" height="10px" width="10px" /></button><h4>Text</h4><p class="clipboard-inlineblock clipboard-hover">Wolfram Research (1988), Map, Wolfram Language function, https://reference.wolfram.com/language/ref/Map.html (updated 2014).</p><h4>CMS</h4><p class="clipboard-inlineblock clipboard-hover">Wolfram Language. 1988. "Map." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2014. https://reference.wolfram.com/language/ref/Map.html.</p><h4>APA</h4><p class="clipboard-inlineblock clipboard-hover">Wolfram Language. (1988). Map. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Map.html</p><h4>BibTeX</h4><p class="clipboard-inlineblock clipboard-hover citation-timestamp">@misc{reference.wolfram_2025_map, author="Wolfram Research", title="{Map}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/Map.html}", note=[Accessed: 17-February-2025 ]}</p><h4>BibLaTeX</h4><p class="clipboard-inlineblock clipboard-hover citation-timestamp">@online{reference.wolfram_2025_map, organization={Wolfram Research}, title={Map}, year={2014}, url={https://reference.wolfram.com/language/ref/Map.html}, note=[Accessed: 17-February-2025 ]}</p></span><span class="citation-overlay"></span></span> </div> </div></section> </div> <section class="feedback-wrapper"> <div class="inner"> <div class="feedback-content"> <button class="feedback"><span class="give">Give</span> Feedback</button><a class="toplink" href="#top"><span class="top">Top</span></a> <iframe id="feedback" height="440" width="100%" src="/language-assets/inc/feedback/index.php?lang=en" frameborder="0" scrolling="no"></iframe> </div> </div> </section> </main> <div id="_footer-offset"></div> <footer class="footer-links"> <div class="inner"> <div class="box"> <div class="footer-main-links"> <a class="icon fast-intro" href="https://www.wolfram.com/language/fast-introduction-for-programmers/en/"> Introduction for Programmers </a> <div class="nowrap"><a class="icon elementary-intro" target="_blank" href="https://www.wolfram.com/language/elementary-introduction/">Introductory Book</a></div> </div> <div class="footer-secondary-links"> <a href="http://resources.wolframcloud.com/FunctionRepository/"> Wolfram Function Repository </a> <span class="divider">|</span> <a class="data-repo" target="_blank" href="https://datarepository.wolframcloud.com/"> Wolfram Data Repository </a> <span class="divider">|</span> <a href="https://datadrop.wolframcloud.com/"> Wolfram Data Drop </a> <span class="divider">|</span> <a href="https://www.wolfram.com/products/"> Wolfram Language Products </a> </div> </div> <a class="toplink" href="#top"><span class="top">Top</span></a> </div> </footer>  <footer id="_footer" class="font-size-7-8 line-height-1-1-4"> <nav id="_footer-t" class="_page-width grid padding-bt-2 heirs-width-1-5 heirs-width-1-4__900"> <div class="hide__600"> <ul> <li class="font-size-1">Products <li><a href="https://www.wolfram.com/wolfram-one/?source=footer" data-walid="GUIFooter">Wolfram|One</a> <li><a href="https://www.wolfram.com/mathematica/?source=footer" data-walid="GUIFooter">Mathematica</a> <li><a href="https://www.wolfram.com/wolfram-alpha-notebook-edition/?source=footer" data-walid="GUIFooter">Wolfram|Alpha Notebook Edition</a> <li><a href="https://www.wolframalpha.com/pro/?source=footer" data-walid="GUIFooter">Wolfram|Alpha Pro</a> <li><a href="https://www.wolfram.com/products/?source=footer#mobile-apps" data-walid="GUIFooter">Mobile Apps</a> <li><a href="https://www.wolfram.com/finance-platform/?source=footer" data-walid="GUIFooter">Finance Platform</a> <li><a href="https://www.wolfram.com/system-modeler/?source=footer" data-walid="GUIFooter">System Modeler</a> <li><a href="https://www.wolfram.com/player/?source=footer" data-walid="GUIFooter">Wolfram Player</a> <li><a href="https://www.wolfram.com/engine/?source=footer" data-walid="GUIFooter">Wolfram Engine</a> <li><a href="https://www.wolfram.com/wolframscript/?source=footer" data-walid="GUIFooter">WolframScript</a> <li><a href="https://www.wolfram.com/products/workbench/?source=footer" data-walid="GUIFooter">Wolfram Workbench</a> <li><a href="https://www.wolfram.com/group-organization-licensing/?source=footer" data-walid="GUIFooter">Volume & Site Licensing</a> <li><a href="https://www.wolfram.com/enterprise-private-cloud/?source=footer" data-walid="GUIFooter">Enterprise Private Cloud</a> <li><a href="https://www.wolfram.com/application-server/?source=footer" data-walid="GUIFooter">Application Server</a> <li class="font-size-5-8 _footer-all"><a href="https://www.wolfram.com/products/?source=footer" data-walid="GUIFooter">View all...</a> </ul> <ul class="hide show__900"> <li class="font-size-1">Services <li><a href="https://www.wolfram.com/technical-consulting/?source=footer" data-walid="GUIFooter">Technical Consulting</a> <li><a href="https://www.wolframsolutions.com/?source=footer" data-walid="GUIFooter">Corporate Consulting</a> </ul> </div> <div class="hide__600"> <ul class="hide__900"> <li class="font-size-1">Services <li><a href="https://www.wolfram.com/technical-consulting/?source=footer" data-walid="GUIFooter">Technical Consulting</a> <li><a href="https://www.wolframsolutions.com/?source=footer" data-walid="GUIFooter">Corporate Consulting</a> </ul> <ul> <li class="font-size-1">For Customers <li><a href="https://www.wolfram.com/get-products-services/?source=footer" data-walid="GUIFooter">Online Store</a> <li><a href="https://user.wolfram.com/portal/ProductRegistration?source=footer" data-walid="GUIFooter">Product Registration</a> <li><a href="https://user.wolfram.com/portal/login.html?source=footer" data-walid="GUIFooter">Product Downloads</a> <li><a href="https://user.wolfram.com/portal/login.html?source=footer" data-walid="GUIFooter">Service Plans Benefits</a> <li><a href="https://user.wolfram.com/portal/?source=footer" data-walid="GUIFooter">User Portal</a> <li><a href="https://account.wolfram.com/?source=footer" data-walid="GUIFooter">Your Account</a> </ul> <ul class="hide__900"> <li class="font-size-1">Support <li><a href="https://support.wolfram.com/?source=footer" data-walid="GUIFooter">Support FAQ</a> <li><a href="https://www.wolfram.com/support/contact/email/?source=footer" data-walid="GUIFooter">Customer Service</a> <li><a href="https://www.wolfram.com/support/contact/?source=footer" data-walid="GUIFooter">Contact Support</a> </ul> <ul class="hide show__900"> <li class="font-size-1">Public Resources <li><a href="https://www.wolframalpha.com/?source=footer" data-walid="GUIFooter">Wolfram|Alpha</a> <li><a href="https://demonstrations.wolfram.com/?source=footer" data-walid="GUIFooter">Demonstrations Project</a> <li><a href="https://resources.wolframcloud.com/?source=footer" data-walid="GUIFooter">Resource System</a> <li><a href="https://devices.wolfram.com/?source=footer" data-walid="GUIFooter">Connected Devices Project</a> <li><a href="https://datadrop.wolframcloud.com/?source=footer" data-walid="GUIFooter">Wolfram Data Drop</a> <li><a href="https://www.wolfram.com/raspberry-pi/?source=footer" data-walid="GUIFooter">Wolfram + Raspberry Pi</a> <li><a href="https://www.wolframscience.com/?source=footer" data-walid="GUIFooter">Wolfram Science</a> <li><a href="https://www.computerbasedmath.org/?source=footer" data-walid="GUIFooter">Computer-Based Math</a> <li><a href="https://mathworld.wolfram.com/?source=footer" data-walid="GUIFooter" target="_blank">MathWorld</a> <li><a href="https://www.wolfram.com/hackathons/?source=footer" data-walid="GUIFooter">Hackathons</a> <li><a href="https://www.wolfram.com/resources/computational-thinking/?source=footer" data-walid="GUIFooter">Computational Thinking</a> <li class="font-size-5-8 _footer-all"><a href="https://www.wolfram.com/resources/?source=footer" data-walid="GUIFooter">View all...</a> </ul> </div> <div class="hide__600"> <ul class="hide show__900"> <li class="font-size-1">Support <li><a href="https://support.wolfram.com/?source=footer" data-walid="GUIFooter">Support FAQ</a> <li><a href="https://www.wolfram.com/support/contact/email/?source=footer" data-walid="GUIFooter">Customer Service</a> <li><a href="https://www.wolfram.com/support/contact/?source=footer" data-walid="GUIFooter">Contact Support</a> </ul> <ul> <li class="font-size-1">Learning <li><a href="https://reference.wolfram.com/language/?source=footer" data-walid="GUIFooter">Wolfram Language Documentation</a> <li><a href="https://www.wolfram.com/language/elementary-introduction/?source=footer" data-walid="GUIFooter">Wolfram Language Introductory Book</a> <li><a href="https://www.wolfram.com/start/?source=footer" data-walid="GUIFooter">Get Started with Wolfram</a> <li><a href="https://www.wolfram.com/language/fast-introduction-for-programmers/?source=footer" data-walid="GUIFooter">Fast Introduction for Programmers</a> <li><a href="https://www.wolfram.com/language/fast-introduction-for-math-students/?source=footer" data-walid="GUIFooter">Fast Introduction for Math Students</a> <li><a href="https://events.wolfram.com/?source=footer" data-walid="GUIFooter">Webinars & Training</a> <li><a href="https://www.wolfram.com/wolfram-u/?source=footer" data-walid="GUIFooter">Wolfram U</a> <li><a href="https://education.wolfram.com/programs/?source=footer" data-walid="GUIFooter">Summer Programs</a> <li><a href="https://www.wolfram.com/broadcast/?source=footer" data-walid="GUIFooter">Videos</a> <li><a href="https://www.wolfram.com/books/?source=footer" data-walid="GUIFooter">Books</a> </ul> </div> <div class="hide__600"> <ul class="hide__900"> <li class="font-size-1">Public Resources <li><a href="https://www.wolframalpha.com/?source=footer" data-walid="GUIFooter">Wolfram|Alpha</a> <li><a href="https://demonstrations.wolfram.com/?source=footer" data-walid="GUIFooter">Demonstrations Project</a> <li><a href="https://resources.wolframcloud.com/?source=footer" data-walid="GUIFooter">Resource System</a> <li><a href="https://devices.wolfram.com/?source=footer" data-walid="GUIFooter">Connected Devices Project</a> <li><a href="https://datadrop.wolframcloud.com/?source=footer" data-walid="GUIFooter">Wolfram Data Drop</a> <li><a href="https://www.wolfram.com/raspberry-pi/?source=footer" data-walid="GUIFooter">Wolfram + Raspberry Pi</a> <li><a href="https://www.wolframscience.com/?source=footer" data-walid="GUIFooter">Wolfram Science</a> <li><a href="https://www.computerbasedmath.org/?source=footer" data-walid="GUIFooter">Computer-Based Math</a> <li><a href="https://mathworld.wolfram.com/?source=footer" data-walid="GUIFooter" target="_blank">MathWorld</a> <li><a href="https://www.wolfram.com/hackathons/?source=footer" data-walid="GUIFooter">Hackathons</a> <li><a href="https://www.wolfram.com/resources/computational-thinking/?source=footer" data-walid="GUIFooter">Computational Thinking</a> <li class="font-size-5-8 _footer-all"><a href="https://www.wolfram.com/resources/?source=footer" data-walid="GUIFooter">View all...</a> </ul> </div> <div class="width-full__600"> <ul class="hide__600"> <li class="font-size-1">Company <li><a href="https://company.wolfram.com/events/?source=footer" data-walid="GUIFooter">Events</a> <li><a href="https://www.wolfram.com/company/?source=footer" data-walid="GUIFooter">About Wolfram</a> <li><a href="https://www.wolfram.com/company/careers/?source=footer" data-walid="GUIFooter">Careers</a> <li><a href="https://www.wolfram.com/company/contact/?source=footer" data-walid="GUIFooter">Contact</a> </ul> <ul id="_footer-connect" class="text-align-c__600 heirs-padding-lr-1-2__600"> <li class="font-size-1 hide__600">Connect <li class="display-ib__600"><a href="https://community.wolfram.com/?source=footer" data-walid="GUIFooter">Wolfram Community</a> <li class="display-ib__600"><a href="https://blog.wolfram.com/?source=footer" data-walid="GUIFooter">Wolfram Blog</a> <li class="_footer-social margin-t-1-4 display-b__600"><a href="https://www.wolfram.com/connect/?source=footer" data-walid="GUIFooter"><i class="_icon-r7-c1 display-ib__600"></i></a> </ul> </div> </nav> <div id="_footer-b" class="_page-width padding-t-1"> <div class="grid collapse__600 heirs-width-a__600 heirs-center__600 heirs-text-align-c__600"> <div id="_footer-bl" class="width-2-5"> <span>© <span id="_footer-year">2025</span> <a href="https://www.wolfram.com/?source=footer">Wolfram</a></span> </div> <div id="_footer-br" class="text-align-r width-3-5"> <ul class="heirs-bar-between heirs-display-ib"> <li><a href="https://www.wolfram.com/legal/?source=footer" data-walid="GUIFooter">Legal</a> & <a href="https://www.wolfram.com/legal/privacy/wolfram/?source=footer" data-walid="GUIFooter">Privacy Policy</a> <li><a href="https://www.wolfram.com/site-map/?source=footer" data-walid="GUIFooter">Site Map</a> <li><a href="https://www.wolframalpha.com/?source=footer" data-walid="GUIFooter">WolframAlpha.com</a> <li><a href="https://www.wolframcloud.com/?source=footer" data-walid="GUIFooter">WolframCloud.com</a> </ul> </div> </div> <div id="_footer-bc" class="padding-t-1 text-align-r text-align-c__600"></div> </div> </footer> <div id="_language-picker" class="hide margin-t-1__600"> <i class="_icon-r7-c2"></i> <form id="_language-picker-form" class="no-bfc"> <select id="_language-picker-select"> </select> </form> </div> <script src="/common/framework/js/body.en.js"></script> <div id ="IPstripe-wrap"></div> <script src="/common/stripe/stripe.en.js"></script> <script type="application/ld+json"> { "@context": "http://schema.org", "@type": "WebSite", "name": "Wolfram Language & System Documentation Center", "description": "Comprehensive documentation for Mathematica and the Wolfram Language. Details and examples for functions, symbols, and workflows. Organized by functionality and usage.", "keywords": "Wolfram, Wolfram Research, Stephen Wolfram, Mathematica, Wolfram Language, Wolfram One, Wolfram System Modeler, Wolfram Cloud, Wolfram|Alpha, Wolfram Enterprise Private Cloud, Wolfram Finance Platform, Mathematica Online, Wolfram Notebook Assistant + LLM Kit", "url": "https://reference.wolfram.com/", "image": "https://reference.wolfram.com/share.png", "inLanguage": "", "creator": { "@type": "Organization", "name": "Wolfram" }, "potentialAction": { "@type": "SearchAction", "target": "https://reference.wolfram.com/search/?q={query}&source=microdata", "query-input": "name=query" } } </script>  <script src="/language-assets/js/global.js"></script> <script src="/language-assets/js/language-specific.js.en"></script> <script src="/language-assets/js/toggles.js"></script> <script src="/language-assets/js/workflows.js"></script> <script src="/language-assets/js/language.js"></script> <script src="/language-assets/js/dropdowns.js"></script> <script src="/language-assets/js/tooltips.js"></script> <script src="/common/js/clipboard/2.0/clipboard.js"></script> <script type="module" src="/common/js/clipboard/2.0/code-clipboard.js"></script> </body> </html>

CINXE.COM

Map: Apply a function to elements in a list—Wolfram Documentation