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<!DOCTYPE html> | ||
<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Notation · ManifoldDiffEq.jl</title><meta name="title" content="Notation · ManifoldDiffEq.jl"/><meta property="og:title" content="Notation · ManifoldDiffEq.jl"/><meta property="twitter:title" content="Notation · ManifoldDiffEq.jl"/><meta name="description" content="Documentation for ManifoldDiffEq.jl."/><meta property="og:description" content="Documentation for ManifoldDiffEq.jl."/><meta property="twitter:description" content="Documentation for ManifoldDiffEq.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script data-outdated-warner src="assets/warner.js"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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alt="ManifoldDiffEq.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="index.html">ManifoldDiffEq.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="index.html">Home</a></li><li><a class="tocitem" href="lie_group_solvers.html">Lie group action solvers</a></li><li><a class="tocitem" href="frozen_coefficients.html">Frozen coefficients solvers</a></li><li><a class="tocitem" href="error_estimation.html">Error estimation</a></li><li class="is-active"><a class="tocitem" href="notation.html">Notation</a></li><li><a class="tocitem" href="examples.html">Examples</a></li><li><a class="tocitem" href="internals.html">Internals</a></li><li><a class="tocitem" href="references.html">References</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="notation.html">Notation</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href="notation.html">Notation</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/JuliaManifolds/ManifoldDiffEq.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/JuliaManifolds/ManifoldDiffEq.jl/blob/main/docs/src/notation.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="Notation"><a class="docs-heading-anchor" href="#Notation">Notation</a><a id="Notation-1"></a><a class="docs-heading-anchor-permalink" href="#Notation" title="Permalink"></a></h1><p>Notation of ManifoldDiffEq.jl mostly follows the <a href="https://juliamanifolds.github.io/Manifolds.jl/stable/misc/notation.html">notation of Manifolds.jl</a>. There are, however, a few changes to more closely match the notation of the DiffEq ecosystem. Namely:</p><ul><li><code>u</code> is often used to denote points on a manifold.</li><li>Tangent vectors are usually denoted by <span>$X$</span>, <span>$Y$</span> but some places may use the symbol <span>$k$</span>.</li><li>Parameters of the solved function are denoted either by <span>$p$</span> or <code>params</code>, depending on the context.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="error_estimation.html">« Error estimation</a><a class="docs-footer-nextpage" href="examples.html">Examples »</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 1.6.0 on <span class="colophon-date" title="Tuesday 3 September 2024 08:53">Tuesday 3 September 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html> | ||
<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Notation · ManifoldDiffEq.jl</title><meta name="title" content="Notation · ManifoldDiffEq.jl"/><meta property="og:title" content="Notation · ManifoldDiffEq.jl"/><meta property="twitter:title" content="Notation · ManifoldDiffEq.jl"/><meta name="description" content="Documentation for ManifoldDiffEq.jl."/><meta property="og:description" content="Documentation for ManifoldDiffEq.jl."/><meta property="twitter:description" content="Documentation for ManifoldDiffEq.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" 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alt="ManifoldDiffEq.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="index.html">ManifoldDiffEq.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="index.html">Home</a></li><li><a class="tocitem" href="lie_group_solvers.html">Lie group action solvers</a></li><li><a class="tocitem" href="frozen_coefficients.html">Frozen coefficients solvers</a></li><li><a class="tocitem" href="error_estimation.html">Error estimation</a></li><li class="is-active"><a class="tocitem" href="notation.html">Notation</a></li><li><a class="tocitem" href="examples.html">Examples</a></li><li><a class="tocitem" href="internals.html">Internals</a></li><li><a class="tocitem" href="references.html">References</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="notation.html">Notation</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href="notation.html">Notation</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/JuliaManifolds/ManifoldDiffEq.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/JuliaManifolds/ManifoldDiffEq.jl/blob/main/docs/src/notation.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="Notation"><a class="docs-heading-anchor" href="#Notation">Notation</a><a id="Notation-1"></a><a class="docs-heading-anchor-permalink" href="#Notation" title="Permalink"></a></h1><p>Notation of ManifoldDiffEq.jl mostly follows the <a href="https://juliamanifolds.github.io/Manifolds.jl/stable/misc/notation.html">notation of Manifolds.jl</a>. There are, however, a few changes to more closely match the notation of the DiffEq ecosystem. Namely:</p><ul><li><code>u</code> is often used to denote points on a manifold.</li><li>Tangent vectors are usually denoted by <span>$X$</span>, <span>$Y$</span> but some places may use the symbol <span>$k$</span>.</li><li>Parameters of the solved function are denoted either by <span>$p$</span> or <code>params</code>, depending on the context.</li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="error_estimation.html">« Error estimation</a><a class="docs-footer-nextpage" href="examples.html">Examples »</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 1.6.0 on <span class="colophon-date" title="Tuesday 3 September 2024 09:05">Tuesday 3 September 2024</span>. Using Julia version 1.10.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html> |
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