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<h1 class="title toc-ignore">Annotations mathématiques</h1>
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<div id="TOC">
<ul>
<li><a href="#combiner-texte-et-expression" id="toc-combiner-texte-et-expression">Combiner texte et expression</a></li>
<li><a href="#intégrer-une-valeur-calculée-dans-une-expression" id="toc-intégrer-une-valeur-calculée-dans-une-expression">Intégrer une valeur calculée dans une expression</a></li>
<li><a href="#syntaxe-de-plotmath" id="toc-syntaxe-de-plotmath">Syntaxe de plotmath</a></li>
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<p>Pour ajouter des annotation mathématiques à un graphique, comme une équation, on aura recours à la fonction <code data-pkg="base">expression</code>. Les expressions qui peuvent être utilisées sont présentées en détail dans l’aide en ligne de <code data-pkg="grDevices">plotmath</code>, visible également sur <a href="http://www.rdocumentation.org/packages/grDevices/functions/plotmath" class="uri">http://www.rdocumentation.org/packages/grDevices/functions/plotmath</a>.</p>
<div id="combiner-texte-et-expression" class="section level2 hasAnchor">
<h2 class="hasAnchor">Combiner texte et expression<a href="#combiner-texte-et-expression" class="anchor-section" aria-label="Anchor link to header"></a></h2>
<p>On aura recours à la fonction <code data-pkg="base">paste</code> à l’intérieur de l’appel à <code data-pkg="base">expression</code>. Un exemple :</p>
<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1" tabindex="-1"></a><span class="co"># données aléatoires</span></span>
<span id="cb1-2"><a href="#cb1-2" tabindex="-1"></a>df <span class="ot"><-</span> <span class="fu">data.frame</span>(<span class="at">x =</span> <span class="fu">rnorm</span>(<span class="dv">100</span>), <span class="at">y =</span> <span class="fu">rnorm</span>(<span class="dv">100</span>))</span>
<span id="cb1-3"><a href="#cb1-3" tabindex="-1"></a></span>
<span id="cb1-4"><a href="#cb1-4" tabindex="-1"></a><span class="fu">library</span>(ggplot2)</span>
<span id="cb1-5"><a href="#cb1-5" tabindex="-1"></a><span class="fu">ggplot</span>(df) <span class="sc">+</span></span>
<span id="cb1-6"><a href="#cb1-6" tabindex="-1"></a> <span class="fu">aes</span>(<span class="at">x =</span> x, <span class="at">y =</span> y) <span class="sc">+</span></span>
<span id="cb1-7"><a href="#cb1-7" tabindex="-1"></a> <span class="fu">geom_point</span>() <span class="sc">+</span></span>
<span id="cb1-8"><a href="#cb1-8" tabindex="-1"></a> <span class="fu">xlab</span>(<span class="fu">expression</span>(<span class="fu">hat</span>(mu)[<span class="dv">0</span>])) <span class="sc">+</span></span>
<span id="cb1-9"><a href="#cb1-9" tabindex="-1"></a> <span class="fu">ylab</span>(<span class="fu">expression</span>(alpha<span class="sc">^</span>beta)) <span class="sc">+</span></span>
<span id="cb1-10"><a href="#cb1-10" tabindex="-1"></a> <span class="fu">ggtitle</span>(<span class="fu">expression</span>(<span class="fu">paste</span>(<span class="st">"Plot of "</span>, alpha<span class="sc">^</span>beta, <span class="st">" versus "</span>, <span class="fu">hat</span>(mu)[<span class="dv">0</span>])))</span></code></pre></div>
<p><img src="graphs/annotations-mathematiques/unnamed-chunk-1-1.png" width="1050" /></p>
</div>
<div id="intégrer-une-valeur-calculée-dans-une-expression" class="section level2 hasAnchor">
<h2 class="hasAnchor">Intégrer une valeur calculée dans une expression<a href="#intégrer-une-valeur-calculée-dans-une-expression" class="anchor-section" aria-label="Anchor link to header"></a></h2>
<p>Pour intégrer une valeur pré-calculée, et donc stockée dans un objet R, dans une expression, on aura recours à la fonction <code data-pkg="base">substitute</code>.</p>
<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb2-1"><a href="#cb2-1" tabindex="-1"></a>x_mean <span class="ot"><-</span> <span class="fl">1.5</span></span>
<span id="cb2-2"><a href="#cb2-2" tabindex="-1"></a>x_sd <span class="ot"><-</span> <span class="fl">1.2</span></span>
<span id="cb2-3"><a href="#cb2-3" tabindex="-1"></a>df <span class="ot"><-</span> <span class="fu">data.frame</span>(<span class="at">x =</span> <span class="fu">rnorm</span>(<span class="dv">100</span>, x_mean, x_sd))</span>
<span id="cb2-4"><a href="#cb2-4" tabindex="-1"></a></span>
<span id="cb2-5"><a href="#cb2-5" tabindex="-1"></a><span class="fu">ggplot</span>(df) <span class="sc">+</span></span>
<span id="cb2-6"><a href="#cb2-6" tabindex="-1"></a> <span class="fu">aes</span>(<span class="at">x =</span> x) <span class="sc">+</span></span>
<span id="cb2-7"><a href="#cb2-7" tabindex="-1"></a> <span class="fu">geom_histogram</span>(<span class="at">binwidth =</span> .<span class="dv">25</span>) <span class="sc">+</span> </span>
<span id="cb2-8"><a href="#cb2-8" tabindex="-1"></a> <span class="fu">ggtitle</span>(</span>
<span id="cb2-9"><a href="#cb2-9" tabindex="-1"></a> <span class="fu">substitute</span>(</span>
<span id="cb2-10"><a href="#cb2-10" tabindex="-1"></a> <span class="fu">paste</span>(X[i], <span class="st">" ~ N("</span>, mu, <span class="st">"="</span>, m, <span class="st">", "</span>, sigma<span class="sc">^</span><span class="dv">2</span>, <span class="st">"="</span>, s2, <span class="st">")"</span>),</span>
<span id="cb2-11"><a href="#cb2-11" tabindex="-1"></a> <span class="fu">list</span>(<span class="at">m =</span> x_mean, <span class="at">s2 =</span> x_sd<span class="sc">^</span><span class="dv">2</span>)</span>
<span id="cb2-12"><a href="#cb2-12" tabindex="-1"></a> )</span>
<span id="cb2-13"><a href="#cb2-13" tabindex="-1"></a> )</span></code></pre></div>
<p><img src="graphs/annotations-mathematiques/unnamed-chunk-2-1.png" width="1050" /></p>
</div>
<div id="syntaxe-de-plotmath" class="section level2 hasAnchor">
<h2 class="hasAnchor">Syntaxe de plotmath<a href="#syntaxe-de-plotmath" class="anchor-section" aria-label="Anchor link to header"></a></h2>
<div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb3-1"><a href="#cb3-1" tabindex="-1"></a><span class="fu">demo</span>(plotmath)</span></code></pre></div>
<p><img src="graphs/annotations-mathematiques/unnamed-chunk-4-1.png" width="1800" /><img src="graphs/annotations-mathematiques/unnamed-chunk-4-2.png" width="1800" /><img src="graphs/annotations-mathematiques/unnamed-chunk-4-3.png" width="1800" /><img src="graphs/annotations-mathematiques/unnamed-chunk-4-4.png" width="1800" /><img src="graphs/annotations-mathematiques/unnamed-chunk-4-5.png" width="1800" /></p>
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