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| <html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>ASCII Operators · Decapodes.jl</title><meta name="title" content="ASCII Operators · Decapodes.jl"/><meta property="og:title" content="ASCII Operators · Decapodes.jl"/><meta property="twitter:title" content="ASCII Operators · 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script data-outdated-warner src="../assets/warner.js"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" 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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>ASCII Operators</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>ASCII Operators</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/ascii.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="ASCII-and-Vector-Calculus-Operators"><a class="docs-heading-anchor" href="#ASCII-and-Vector-Calculus-Operators">ASCII and Vector Calculus Operators</a><a id="ASCII-and-Vector-Calculus-Operators-1"></a><a class="docs-heading-anchor-permalink" href="#ASCII-and-Vector-Calculus-Operators" title="Permalink"></a></h1><p>Some users may have trouble entering unicode characters like ⋆ or ∂ in their development environment. So, we offer the following ASCII equivalents. Further, some users may like to use vector calculus symbols instead of exterior calculus symbols where possible. We offer support for such symbols as well.</p><h2 id="ASCII-Equivalents"><a class="docs-heading-anchor" href="#ASCII-Equivalents">ASCII Equivalents</a><a id="ASCII-Equivalents-1"></a><a class="docs-heading-anchor-permalink" href="#ASCII-Equivalents" title="Permalink"></a></h2><table><tr><th style="text-align: right">Unicode</th><th style="text-align: right">ASCII</th><th style="text-align: right">Meaning</th></tr><tr><td style="text-align: right">∂ₜ</td><td style="text-align: right">dt</td><td style="text-align: right">derivative w.r.t. time</td></tr><tr><td style="text-align: right">⋆</td><td style="text-align: right">star</td><td style="text-align: right">Hodge star, generalizing transpose</td></tr><tr><td style="text-align: right">Δ</td><td style="text-align: right">lapl</td><td style="text-align: right">laplacian</td></tr><tr><td style="text-align: right">∧</td><td style="text-align: right">wedge</td><td style="text-align: right">wedge product, generalizing the cross product</td></tr><tr><td style="text-align: right">⋆⁻¹</td><td style="text-align: right">star_inv</td><td style="text-align: right">Hodge star, generalizing transpose</td></tr><tr><td style="text-align: right">∘(⋆,d,⋆)</td><td style="text-align: right">div</td><td style="text-align: right">divergence, a.k.a. ∇⋅</td></tr><tr><td style="text-align: right">avg₀₁</td><td style="text-align: right">avg_01</td><td style="text-align: right">average values stored on endpoints of edges</td></tr></table><h2 id="Vector-Calculus-Equivalents"><a class="docs-heading-anchor" href="#Vector-Calculus-Equivalents">Vector Calculus Equivalents</a><a id="Vector-Calculus-Equivalents-1"></a><a class="docs-heading-anchor-permalink" href="#Vector-Calculus-Equivalents" title="Permalink"></a></h2><table><tr><th style="text-align: right">Vec</th><th style="text-align: right">DEC</th><th style="text-align: right">How to enter</th></tr><tr><td style="text-align: right">grad</td><td style="text-align: right">d</td><td style="text-align: right">grad</td></tr><tr><td style="text-align: right">div</td><td style="text-align: right">∘(⋆,d,⋆)</td><td style="text-align: right">div</td></tr><tr><td style="text-align: right">curl</td><td style="text-align: right">∘(d,⋆)</td><td style="text-align: right">curl</td></tr><tr><td style="text-align: right">∇</td><td style="text-align: right">d</td><td style="text-align: right">\nabla</td></tr><tr><td style="text-align: right">∇ᵈ</td><td style="text-align: right">∘(⋆,d,⋆)</td><td style="text-align: right">\nabla \<tab\> \^d \<tab\></td></tr><tr><td style="text-align: right">∇x</td><td style="text-align: right">∘(d,⋆)</td><td style="text-align: right">\nabla \<tab\> x</td></tr><tr><td style="text-align: right">adv(X,Y)</td><td style="text-align: right">∘(⋆,d,⋆)(X∧Y)</td><td style="text-align: right">adv</td></tr></table><pre class="documenter-example-output"><code class="nohighlight hljs ansi">[ Info: Page built in 0 seconds. | ||
| [ Info: This page was last built at 2024-12-14T23:50:52.120.</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../bc/bc_debug/">« Misc Features</a><a class="docs-footer-nextpage" href="../canon/">Canonical Models »</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 1.8.0 on <span class="colophon-date" title="Sunday 15 December 2024 00:10">Sunday 15 December 2024</span>. Using Julia version 1.11.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html> | ||
| [ Info: This page was last built at 2024-12-16T16:09:54.398.</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../bc/bc_debug/">« Misc Features</a><a class="docs-footer-nextpage" href="../canon/">Canonical Models »</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 1.8.0 on <span class="colophon-date" title="Monday 16 December 2024 16:22">Monday 16 December 2024</span>. Using Julia version 1.11.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html> |
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