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<!DOCTYPE html>
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<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · RecursiveArrayTools.jl</title><meta name="title" content="Home · RecursiveArrayTools.jl"/><meta property="og:title" content="Home · RecursiveArrayTools.jl"/><meta property="twitter:title" content="Home · RecursiveArrayTools.jl"/><meta name="description" content="Documentation for RecursiveArrayTools.jl."/><meta property="og:description" content="Documentation for RecursiveArrayTools.jl."/><meta property="twitter:description" content="Documentation for RecursiveArrayTools.jl."/><meta property="og:url" content="https://docs.sciml.ai/RecursiveArrayTools/stable/"/><meta property="twitter:url" content="https://docs.sciml.ai/RecursiveArrayTools/stable/"/><link rel="canonical" href="https://docs.sciml.ai/RecursiveArrayTools/stable/"/><script data-outdated-warner src="assets/warner.js"></script><link 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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><link href="assets/favicon.ico" rel="icon" type="image/x-icon"/></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href><img src="assets/logo.png" alt="RecursiveArrayTools.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href>RecursiveArrayTools.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 class="is-active"><a class="tocitem" href>Home</a><ul class="internal"><li><a class="tocitem" href="#Installation"><span>Installation</span></a></li><li><a class="tocitem" href="#Contributing"><span>Contributing</span></a></li><li><a class="tocitem" href="#Reproducibility"><span>Reproducibility</span></a></li></ul></li><li><a class="tocitem" href="AbstractVectorOfArrayInterface/">The AbstractVectorOfArray and AbstractDiffEqArray Interfaces</a></li><li><a class="tocitem" href="array_types/">Recursive Array Types</a></li><li><a class="tocitem" href="recursive_array_functions/">Recursive Array Functions</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>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/SciML/RecursiveArrayTools.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/SciML/RecursiveArrayTools.jl/blob/master/docs/src/index.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="RecursiveArrayTools.jl:-Arrays-of-Arrays-and-Even-Deeper"><a class="docs-heading-anchor" href="#RecursiveArrayTools.jl:-Arrays-of-Arrays-and-Even-Deeper">RecursiveArrayTools.jl: Arrays of Arrays and Even Deeper</a><a id="RecursiveArrayTools.jl:-Arrays-of-Arrays-and-Even-Deeper-1"></a><a class="docs-heading-anchor-permalink" href="#RecursiveArrayTools.jl:-Arrays-of-Arrays-and-Even-Deeper" title="Permalink"></a></h1><p>RecursiveArrayTools.jl is a set of tools for dealing with recursive arrays, like arrays of arrays. It contains type wrappers for making recursive arrays act more like normal arrays (for example, automating the recursion of broadcast, maps, iteration, and more), and utility functions which make it easier to work with recursive arrays.</p><h2 id="Installation"><a class="docs-heading-anchor" href="#Installation">Installation</a><a id="Installation-1"></a><a class="docs-heading-anchor-permalink" href="#Installation" title="Permalink"></a></h2><p>To install RecursiveArrayTools.jl, use the Julia package manager:</p><pre><code class="language-julia hljs">using Pkg
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Pkg.add(&quot;RecursiveArrayTools&quot;)</code></pre><h2 id="Contributing"><a class="docs-heading-anchor" href="#Contributing">Contributing</a><a id="Contributing-1"></a><a class="docs-heading-anchor-permalink" href="#Contributing" title="Permalink"></a></h2><ul><li><p>Please refer to the <a href="https://github.com/SciML/ColPrac/blob/master/README.md">SciML ColPrac: Contributor&#39;s Guide on Collaborative Practices for Community Packages</a> for guidance on PRs, issues, and other matters relating to contributing to SciML.</p></li><li><p>See the <a href="https://github.com/SciML/SciMLStyle">SciML Style Guide</a> for common coding practices and other style decisions.</p></li><li><p>There are a few community forums:</p><ul><li>The #diffeq-bridged and #sciml-bridged channels in the <a href="https://julialang.org/slack/">Julia Slack</a></li><li>The #diffeq-bridged and #sciml-bridged channels in the <a href="https://julialang.zulipchat.com/#narrow/stream/279055-sciml-bridged">Julia Zulip</a></li><li>On the <a href="https://discourse.julialang.org">Julia Discourse forums</a></li><li>See also <a href="https://sciml.ai/community/">SciML Community page</a></li></ul></li></ul><h2 id="Reproducibility"><a class="docs-heading-anchor" href="#Reproducibility">Reproducibility</a><a id="Reproducibility-1"></a><a class="docs-heading-anchor-permalink" href="#Reproducibility" title="Permalink"></a></h2><details><summary>The documentation of this SciML package was built using these direct dependencies,</summary><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Status `~/work/RecursiveArrayTools.jl/RecursiveArrayTools.jl/docs/Project.toml`
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[731186ca] RecursiveArrayTools v3.33.0 `~/work/RecursiveArrayTools.jl/RecursiveArrayTools.jl`</code></pre></details><details><summary>and using this machine and Julia version.</summary><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Julia Version 1.11.5
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Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`</code></pre></details><p>You can also download the <a href="https://github.com/SciML/RecursiveArrayTools.jl/tree/gh-pages/v3.33.0/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/RecursiveArrayTools.jl/tree/gh-pages/v3.33.0/assets/Project.toml">project</a> file.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="AbstractVectorOfArrayInterface/">The AbstractVectorOfArray and AbstractDiffEqArray Interfaces »</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 1.11.3 on <span class="colophon-date" title="Thursday 15 May 2025 21:14">Thursday 15 May 2025</span>. Using Julia version 1.11.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`</code></pre></details><p>You can also download the <a href="https://github.com/SciML/RecursiveArrayTools.jl/tree/gh-pages/v3.33.0/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/RecursiveArrayTools.jl/tree/gh-pages/v3.33.0/assets/Project.toml">project</a> file.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="AbstractVectorOfArrayInterface/">The AbstractVectorOfArray and AbstractDiffEqArray Interfaces »</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 1.11.4 on <span class="colophon-date" title="Monday 19 May 2025 23:54">Monday 19 May 2025</span>. Using Julia version 1.11.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

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