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{"documenter":{"julia_version":"1.9.3","generation_timestamp":"2023-09-22T20:31:46","documenter_version":"1.0.1"}}
{"documenter":{"julia_version":"1.9.3","generation_timestamp":"2023-09-22T20:43:52","documenter_version":"1.0.1"}}
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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 · AnalyticComb.jl</title><meta name="title" content="Home · AnalyticComb.jl"/><meta property="og:title" content="Home · AnalyticComb.jl"/><meta property="twitter:title" content="Home · AnalyticComb.jl"/><meta name="description" content="Documentation for AnalyticComb.jl."/><meta property="og:description" content="Documentation for AnalyticComb.jl."/><meta property="twitter:description" content="Documentation for AnalyticComb.jl."/><meta property="og:url" content="https://fargolo.github.io/AnalyticComb.jl/"/><meta property="twitter:url" content="https://fargolo.github.io/AnalyticComb.jl/"/><link rel="canonical" href="https://fargolo.github.io/AnalyticComb.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script data-outdated-warner src="assets/warner.js"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 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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></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href>AnalyticComb.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></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/fargolo/AnalyticComb.jl/blob/main/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="AnalyticComb"><a class="docs-heading-anchor" href="#AnalyticComb">AnalyticComb</a><a id="AnalyticComb-1"></a><a class="docs-heading-anchor-permalink" href="#AnalyticComb" title="Permalink"></a></h1><p>Documentation for <a href="https://github.com/fargolo/AnalyticComb.jl">AnalyticComb</a>.</p><ul><li><a href="#AnalyticComb.W_coeff-Tuple{Any}"><code>AnalyticComb.W_coeff</code></a></li><li><a href="#AnalyticComb.p_binary_words_runl-Tuple{Any, Any}"><code>AnalyticComb.p_binary_words_runl</code></a></li></ul><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="AnalyticComb.W_coeff-Tuple{Any}" href="#AnalyticComb.W_coeff-Tuple{Any}"><code>AnalyticComb.W_coeff</code></a> — <span class="docstring-category">Method</span></header><section><div><pre><code class="language-julia hljs">W_coeff(r;n_tot=200)</code></pre><p>Taylor series coefficient from generating function for binary words that never have more than r consecutive identical letters. </p><p>The number of binary words that never have more than r consecutive identical letters is found to be (set α = β = r). n_tot defaults to 200, according to the example in Flajolet &amp; Sedgewick pag. 52</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/fargolo/AnalyticComb.jl/blob/01232c034e2dfb1d170cc44f992e3adb697d4e40/src/binary_words.jl#L6-L13">source</a></section></article><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="AnalyticComb.p_binary_words_runl-Tuple{Any, Any}" href="#AnalyticComb.p_binary_words_runl-Tuple{Any, Any}"><code>AnalyticComb.p_binary_words_runl</code></a> — <span class="docstring-category">Method</span></header><section><div><pre><code class="language-julia hljs">p_binary_word_runs(k,n)</code></pre><p>Returns probablity associatied with k-lenght run in a sequence of size n. </p><p>Refer to the example in Flajolet &amp; Sedgewick pag. 52. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/fargolo/AnalyticComb.jl/blob/01232c034e2dfb1d170cc44f992e3adb697d4e40/src/binary_words.jl#L28-L34">source</a></section></article></article><nav class="docs-footer"><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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic 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Using Julia version 1.9.3.</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>Home · AnalyticComb.jl</title><meta name="title" content="Home · AnalyticComb.jl"/><meta property="og:title" content="Home · AnalyticComb.jl"/><meta property="twitter:title" content="Home · AnalyticComb.jl"/><meta name="description" content="Documentation for AnalyticComb.jl."/><meta property="og:description" content="Documentation for AnalyticComb.jl."/><meta property="twitter:description" content="Documentation for AnalyticComb.jl."/><meta property="og:url" content="https://fargolo.github.io/AnalyticComb.jl/"/><meta property="twitter:url" content="https://fargolo.github.io/AnalyticComb.jl/"/><link rel="canonical" href="https://fargolo.github.io/AnalyticComb.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/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></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href>AnalyticComb.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></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/fargolo/AnalyticComb.jl/blob/main/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="AnalyticComb"><a class="docs-heading-anchor" href="#AnalyticComb">AnalyticComb</a><a id="AnalyticComb-1"></a><a class="docs-heading-anchor-permalink" href="#AnalyticComb" title="Permalink"></a></h1><p>Documentation for <a href="https://github.com/fargolo/AnalyticComb.jl">AnalyticComb</a>.</p><ul><li><a href="#AnalyticComb.W_coeff-Tuple{Any}"><code>AnalyticComb.W_coeff</code></a></li><li><a href="#AnalyticComb.p_binary_words_runl-Tuple{Any, Any}"><code>AnalyticComb.p_binary_words_runl</code></a></li></ul><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="AnalyticComb.W_coeff-Tuple{Any}" href="#AnalyticComb.W_coeff-Tuple{Any}"><code>AnalyticComb.W_coeff</code></a> — <span class="docstring-category">Method</span></header><section><div><pre><code class="language-julia hljs">W_coeff(r;n_tot=200)</code></pre><p>Taylor series coefficient from generating function for binary words that never have more than r consecutive identical letters. </p><p>The number of binary words that never have more than r consecutive identical letters is found to be (set α = β = r). n_tot defaults to 200, according to the example in Flajolet &amp; Sedgewick pag. 52</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/fargolo/AnalyticComb.jl/blob/01232c034e2dfb1d170cc44f992e3adb697d4e40/src/binary_words.jl#L6-L13">source</a></section></article><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="AnalyticComb.p_binary_words_runl-Tuple{Any, Any}" href="#AnalyticComb.p_binary_words_runl-Tuple{Any, Any}"><code>AnalyticComb.p_binary_words_runl</code></a> — <span class="docstring-category">Method</span></header><section><div><pre><code class="language-julia hljs">p_binary_word_runs(k,n)</code></pre><p>Returns probablity associatied with k-lenght run in a sequence of size n. </p><p>Refer to the example in Flajolet &amp; Sedgewick pag. 52. </p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/fargolo/AnalyticComb.jl/blob/01232c034e2dfb1d170cc44f992e3adb697d4e40/src/binary_words.jl#L28-L34">source</a></section></article></article><nav class="docs-footer"><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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic 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Using Julia version 1.9.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

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