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-<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Equations · Decapodes.jl</title><meta name="title" content="Equations · Decapodes.jl"/><meta property="og:title" content="Equations · Decapodes.jl"/><meta property="twitter:title" content="Equations · Decapodes.jl"/><meta name="description" content="Documentation for Decapodes.jl."/><meta property="og:description" content="Documentation for Decapodes.jl."/><meta property="twitter:description" content="Documentation for Decapodes.jl."/><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.050/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/fontawesome.min.css" rel="stylesheet" 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href="../../ice_dynamics/ice_dynamics/">Glacial Flow</a></li><li><a class="tocitem" href="../../grigoriev/grigoriev/">Grigoriev Ice Cap</a></li><li><a class="tocitem" href="../../bsh/budyko_sellers_halfar/">Budyko-Sellers-Halfar</a></li><li><a class="tocitem" href="../../halmo/halmo/">Halfar-NS</a></li><li><a class="tocitem" href="../../nhs/nhs_lite/">NHS</a></li><li><a class="tocitem" href="../../poiseuille/poiseuille/">Pipe Flow</a></li><li><a class="tocitem" href="../../bc/bc_debug/">Misc Features</a></li><li><a class="tocitem" href="../../ascii/">ASCII Operators</a></li><li><a class="tocitem" href="../../canon/">Canonical Models</a></li><li><a class="tocitem" href="../../api/">Library Reference</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><a class="docs-sidebar-button docs-navbar-link fa-solid fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Equations</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Equations</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/AlgebraicJulia/Decapodes.jl" title="View the repository on GitHub"><span class="docs-icon fa-brands"></span><span class="docs-label is-hidden-touch">GitHub</span></a><a class="docs-navbar-link" href="https://github.com/AlgebraicJulia/Decapodes.jl/blob/main/docs/src/equations/equations.md" title="Edit source on GitHub"><span class="docs-icon fa-solid"></span></a><a class="docs-settings-button docs-navbar-link fa-solid fa-gear" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-article-toggle-button fa-solid fa-chevron-up" id="documenter-article-toggle-button" href="javascript:;" title="Collapse all docstrings"></a></div></header><article class="content" id="documenter-page"><h1 id="Simple-Equations"><a class="docs-heading-anchor" href="#Simple-Equations">Simple Equations</a><a id="Simple-Equations-1"></a><a class="docs-heading-anchor-permalink" href="#Simple-Equations" title="Permalink"></a></h1><p>This tutorial shows how to use Decapodes to represent simple equations. These aren&#39;t using any of the Discrete Exterior Calculus or CombinatorialSpaces features of Decapodes. They just are a reference for how to build equations with the <code>@decapodes</code> macro and see how they are stored as ACSets.</p><pre><code class="language-julia hljs">using Catlab
+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Equations · Decapodes.jl</title><meta name="title" content="Equations · Decapodes.jl"/><meta property="og:title" content="Equations · Decapodes.jl"/><meta property="twitter:title" content="Equations · Decapodes.jl"/><meta name="description" content="Documentation for Decapodes.jl."/><meta property="og:description" content="Documentation for Decapodes.jl."/><meta property="twitter:description" content="Documentation for Decapodes.jl."/><script data-outdated-warner src="../../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.050/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="../.."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../../assets/documenter.js"></script><script src="../../search_index.js"></script><script src="../../siteinfo.js"></script><script src="../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/catppuccin-mocha.css" data-theme-name="catppuccin-mocha"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/catppuccin-macchiato.css" data-theme-name="catppuccin-macchiato"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/catppuccin-frappe.css" data-theme-name="catppuccin-frappe"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/catppuccin-latte.css" data-theme-name="catppuccin-latte"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../assets/themeswap.js"></script><script src="../../assets/analytics.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../../">Decapodes.jl</a></span></div><button class="docs-search-query input is-rounded is-small is-clickable my-2 mx-auto py-1 px-2" id="documenter-search-query">Search docs (Ctrl + /)</button><ul class="docs-menu"><li><a class="tocitem" href="../../">Decapodes.jl</a></li><li><a class="tocitem" href="../../overview/overview/">Overview</a></li><li class="is-active"><a class="tocitem" href>Equations</a></li><li><a class="tocitem" href="../../navier_stokes/ns/">Vortices</a></li><li><a class="tocitem" href="../../ch/cahn-hilliard/">Cahn-Hilliard</a></li><li><a class="tocitem" href="../../klausmeier/klausmeier/">Klausmeier</a></li><li><a class="tocitem" href="../../cism/cism/">CISM v2.1</a></li><li><a class="tocitem" href="../../ice_dynamics/ice_dynamics/">Glacial Flow</a></li><li><a class="tocitem" href="../../grigoriev/grigoriev/">Grigoriev Ice Cap</a></li><li><a class="tocitem" href="../../bsh/budyko_sellers_halfar/">Budyko-Sellers-Halfar</a></li><li><a class="tocitem" href="../../halmo/halmo/">Halfar-NS</a></li><li><a class="tocitem" href="../../nhs/nhs_lite/">NHS</a></li><li><a class="tocitem" href="../../poiseuille/poiseuille/">Pipe Flow</a></li><li><a class="tocitem" href="../../bc/bc_debug/">Misc Features</a></li><li><a class="tocitem" href="../../ascii/">ASCII Operators</a></li><li><a class="tocitem" href="../../canon/">Canonical Models</a></li><li><a class="tocitem" href="../../api/">Library Reference</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><a class="docs-sidebar-button docs-navbar-link fa-solid fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Equations</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Equations</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/AlgebraicJulia/Decapodes.jl" title="View the repository on GitHub"><span class="docs-icon fa-brands"></span><span class="docs-label is-hidden-touch">GitHub</span></a><a class="docs-navbar-link" href="https://github.com/AlgebraicJulia/Decapodes.jl/blob/main/docs/src/equations/equations.md" title="Edit source on GitHub"><span class="docs-icon fa-solid"></span></a><a class="docs-settings-button docs-navbar-link fa-solid fa-gear" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-article-toggle-button fa-solid fa-chevron-up" id="documenter-article-toggle-button" href="javascript:;" title="Collapse all docstrings"></a></div></header><article class="content" id="documenter-page"><h1 id="Simple-Equations"><a class="docs-heading-anchor" href="#Simple-Equations">Simple Equations</a><a id="Simple-Equations-1"></a><a class="docs-heading-anchor-permalink" href="#Simple-Equations" title="Permalink"></a></h1><p>This tutorial shows how to use Decapodes to represent simple equations. These aren&#39;t using any of the Discrete Exterior Calculus or CombinatorialSpaces features of Decapodes. They just are a reference for how to build equations with the <code>@decapodes</code> macro and see how they are stored as ACSets.</p><pre><code class="language-julia hljs">using Catlab
 using CombinatorialSpaces
 using DiagrammaticEquations
 using Decapodes</code></pre><p>The harmonic oscillator can be written in Decapodes in at least three different ways.</p><pre><code class="language-julia hljs">oscillator = @decapode begin
@@ -992,4 +992,4 @@
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 '/><p>Often you will have a linear material where you are scaling by a constant, and a nonlinear version of that material where that scaling is replaced by a generic nonlinear function. This is why we allow Decapodes to represent both of these types of equations.</p><pre class="documenter-example-output"><code class="nohighlight hljs ansi">[ Info: Page built in 1 second.
-[ Info: This page was last built at 2024-06-18T16:23:33.471.</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../overview/overview/">« Overview</a><a class="docs-footer-nextpage" href="../../navier_stokes/ns/">Vortices »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.4.1 on <span class="colophon-date" title="Tuesday 18 June 2024 16:27">Tuesday 18 June 2024</span>. Using Julia version 1.10.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+[ Info: This page was last built at 2024-06-27T21:16:40.866.</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../overview/overview/">« Overview</a><a class="docs-footer-nextpage" href="../../navier_stokes/ns/">Vortices »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.5.0 on <span class="colophon-date" title="Thursday 27 June 2024 21:20">Thursday 27 June 2024</span>. Using Julia version 1.10.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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		{"documenter":{"julia_version":"1.10.4","generation_timestamp":"2024-06-27T21:20:31","documenter_version":"1.5.0"}}