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<!doctype html>
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    <title>math_demo API documentation</title>

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            <h2>Contents</h2>
            <ul>
  <li><a href="#using-math-in-docstrings">Using Math in Docstrings</a></li>
  <li><a href="#advanced-usage">Advanced Usage</a></li>
  <li><a href="#example">Example</a></li>
</ul>



            <h2>API Documentation</h2>
                <ul class="memberlist">
            <li>
                    <a class="function" href="#binom_coef">binom_coef</a>
            </li>
            <li>
                    <a class="function" href="#long_formula">long_formula</a>
            </li>
    </ul>



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            <section class="module-info">
                    <h1 class="modulename">
math_demo    </h1>

                        <div class="docstring"><p>This is a small demo module showing how pdoc renders $\LaTeX$ when invoked as <code>pdoc --math</code>!</p>

<h1 id="using-math-in-docstrings">Using Math in Docstrings</h1>

<p>Note that docstrings work like regular strings, so backslashes are treated as escape characters.
You can either escape a backslash with a second backslash:</p>

<div class="pdoc-code codehilite">
<pre><span></span><code><span class="k">def</span> <span class="nf">foo</span><span class="p">():</span>
<span class="w">    </span><span class="sd">&quot;&quot;&quot;docstring with $\\frac{x}{y}$.&quot;&quot;&quot;</span>
</code></pre>
</div>

<p>or prefix your docstring with an "r" so that you have a
<a href="https://docs.python.org/3/reference/lexical_analysis.html#string-and-bytes-literals">raw string</a>
where backslashes are not processed:</p>

<div class="pdoc-code codehilite">
<pre><span></span><code><span class="k">def</span> <span class="nf">foo</span><span class="p">():</span>
<span class="w">    </span><span class="sa">r</span><span class="sd">&quot;&quot;&quot;raw docstring with $\frac{x}{y}$.&quot;&quot;&quot;</span>
</code></pre>
</div>

<h1 id="advanced-usage">Advanced Usage</h1>

<p>pdoc uses MathJax's MathJax's in-browser renderer by default. Please note that while pdoc
generally strives to be self-contained, these resources are included from MathJax's CDN.
You can create a <code>math.html.jinja2</code> file in your pdoc template directory to override the
<a href="https://github.com/mitmproxy/pdoc/blob/main/pdoc/templates/math.html.jinja2">default implementation</a>.</p>

<h1 id="example">Example</h1>
</div>

                        <input id="mod-math_demo-view-source" class="view-source-toggle-state" type="checkbox" aria-hidden="true" tabindex="-1">

                        <label class="view-source-button" for="mod-math_demo-view-source"><span>View Source</span></label>

                        <div class="pdoc-code codehilite"><pre><span></span><span id="L-1"><a href="#L-1"><span class="linenos"> 1</span></a><span class="sa">r</span><span class="sd">&#39;&#39;&#39;</span>
</span><span id="L-2"><a href="#L-2"><span class="linenos"> 2</span></a><span class="sd">This is a small demo module showing how pdoc renders $\LaTeX$ when invoked as `pdoc --math`!</span>
</span><span id="L-3"><a href="#L-3"><span class="linenos"> 3</span></a>
</span><span id="L-4"><a href="#L-4"><span class="linenos"> 4</span></a><span class="sd"># Using Math in Docstrings</span>
</span><span id="L-5"><a href="#L-5"><span class="linenos"> 5</span></a>
</span><span id="L-6"><a href="#L-6"><span class="linenos"> 6</span></a><span class="sd">Note that docstrings work like regular strings, so backslashes are treated as escape characters.</span>
</span><span id="L-7"><a href="#L-7"><span class="linenos"> 7</span></a><span class="sd">You can either escape a backslash with a second backslash:</span>
</span><span id="L-8"><a href="#L-8"><span class="linenos"> 8</span></a>
</span><span id="L-9"><a href="#L-9"><span class="linenos"> 9</span></a>
</span><span id="L-10"><a href="#L-10"><span class="linenos">10</span></a><span class="sd">```python</span>
</span><span id="L-11"><a href="#L-11"><span class="linenos">11</span></a><span class="sd">def foo():</span>
</span><span id="L-12"><a href="#L-12"><span class="linenos">12</span></a><span class="sd">    &quot;&quot;&quot;docstring with $\\frac{x}{y}$.&quot;&quot;&quot;</span>
</span><span id="L-13"><a href="#L-13"><span class="linenos">13</span></a><span class="sd">```</span>
</span><span id="L-14"><a href="#L-14"><span class="linenos">14</span></a>
</span><span id="L-15"><a href="#L-15"><span class="linenos">15</span></a><span class="sd">or prefix your docstring with an &quot;r&quot; so that you have a</span>
</span><span id="L-16"><a href="#L-16"><span class="linenos">16</span></a><span class="sd">[raw string](https://docs.python.org/3/reference/lexical_analysis.html#string-and-bytes-literals)</span>
</span><span id="L-17"><a href="#L-17"><span class="linenos">17</span></a><span class="sd">where backslashes are not processed:</span>
</span><span id="L-18"><a href="#L-18"><span class="linenos">18</span></a>
</span><span id="L-19"><a href="#L-19"><span class="linenos">19</span></a><span class="sd">```python</span>
</span><span id="L-20"><a href="#L-20"><span class="linenos">20</span></a>
</span><span id="L-21"><a href="#L-21"><span class="linenos">21</span></a><span class="sd">def foo():</span>
</span><span id="L-22"><a href="#L-22"><span class="linenos">22</span></a><span class="sd">    r&quot;&quot;&quot;raw docstring with $\frac{x}{y}$.&quot;&quot;&quot;</span>
</span><span id="L-23"><a href="#L-23"><span class="linenos">23</span></a><span class="sd">```</span>
</span><span id="L-24"><a href="#L-24"><span class="linenos">24</span></a>
</span><span id="L-25"><a href="#L-25"><span class="linenos">25</span></a><span class="sd"># Advanced Usage</span>
</span><span id="L-26"><a href="#L-26"><span class="linenos">26</span></a>
</span><span id="L-27"><a href="#L-27"><span class="linenos">27</span></a><span class="sd">pdoc uses MathJax&#39;s MathJax&#39;s in-browser renderer by default. Please note that while pdoc</span>
</span><span id="L-28"><a href="#L-28"><span class="linenos">28</span></a><span class="sd">generally strives to be self-contained, these resources are included from MathJax&#39;s CDN.</span>
</span><span id="L-29"><a href="#L-29"><span class="linenos">29</span></a><span class="sd">You can create a `math.html.jinja2` file in your pdoc template directory to override the</span>
</span><span id="L-30"><a href="#L-30"><span class="linenos">30</span></a><span class="sd">[default implementation](https://github.com/mitmproxy/pdoc/blob/main/pdoc/templates/math.html.jinja2).</span>
</span><span id="L-31"><a href="#L-31"><span class="linenos">31</span></a>
</span><span id="L-32"><a href="#L-32"><span class="linenos">32</span></a><span class="sd"># Example</span>
</span><span id="L-33"><a href="#L-33"><span class="linenos">33</span></a><span class="sd">&#39;&#39;&#39;</span>
</span><span id="L-34"><a href="#L-34"><span class="linenos">34</span></a>
</span><span id="L-35"><a href="#L-35"><span class="linenos">35</span></a><span class="kn">import</span> <span class="nn">math</span>
</span><span id="L-36"><a href="#L-36"><span class="linenos">36</span></a>
</span><span id="L-37"><a href="#L-37"><span class="linenos">37</span></a>
</span><span id="L-38"><a href="#L-38"><span class="linenos">38</span></a><span class="k">def</span> <span class="nf">binom_coef</span><span class="p">(</span><span class="n">n</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">k</span><span class="p">:</span> <span class="nb">int</span><span class="p">)</span> <span class="o">-&gt;</span> <span class="nb">int</span><span class="p">:</span>
</span><span id="L-39"><a href="#L-39"><span class="linenos">39</span></a><span class="w">    </span><span class="sd">&quot;&quot;&quot;</span>
</span><span id="L-40"><a href="#L-40"><span class="linenos">40</span></a><span class="sd">    Return the number of ways to choose $k$ items from $n$ items without repetition and without order.</span>
</span><span id="L-41"><a href="#L-41"><span class="linenos">41</span></a>
</span><span id="L-42"><a href="#L-42"><span class="linenos">42</span></a><span class="sd">    Evaluates to $n! / (k! * (n - k)!)$ when $k &lt;= n$ and evaluates to zero when $k &gt; n$.</span>
</span><span id="L-43"><a href="#L-43"><span class="linenos">43</span></a><span class="sd">    &quot;&quot;&quot;</span>
</span><span id="L-44"><a href="#L-44"><span class="linenos">44</span></a>    <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">comb</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="n">k</span><span class="p">)</span>
</span><span id="L-45"><a href="#L-45"><span class="linenos">45</span></a>
</span><span id="L-46"><a href="#L-46"><span class="linenos">46</span></a>
</span><span id="L-47"><a href="#L-47"><span class="linenos">47</span></a><span class="k">def</span> <span class="nf">long_formula</span><span class="p">():</span>
</span><span id="L-48"><a href="#L-48"><span class="linenos">48</span></a><span class="w">    </span><span class="sa">r</span><span class="sd">&quot;&quot;&quot;</span>
</span><span id="L-49"><a href="#L-49"><span class="linenos">49</span></a><span class="sd">    $$</span>
</span><span id="L-50"><a href="#L-50"><span class="linenos">50</span></a><span class="sd">        \Delta =</span>
</span><span id="L-51"><a href="#L-51"><span class="linenos">51</span></a><span class="sd">        \Delta_\text{this} +</span>
</span><span id="L-52"><a href="#L-52"><span class="linenos">52</span></a><span class="sd">        \Delta_\text{is} +</span>
</span><span id="L-53"><a href="#L-53"><span class="linenos">53</span></a><span class="sd">        \Delta_\text{a} +</span>
</span><span id="L-54"><a href="#L-54"><span class="linenos">54</span></a><span class="sd">        \Delta_\text{very} +</span>
</span><span id="L-55"><a href="#L-55"><span class="linenos">55</span></a><span class="sd">        \Delta_\text{long} +</span>
</span><span id="L-56"><a href="#L-56"><span class="linenos">56</span></a><span class="sd">        \Delta_\text{formula} +</span>
</span><span id="L-57"><a href="#L-57"><span class="linenos">57</span></a><span class="sd">        \Delta_\text{that} +</span>
</span><span id="L-58"><a href="#L-58"><span class="linenos">58</span></a><span class="sd">        \Delta_\text{does} +</span>
</span><span id="L-59"><a href="#L-59"><span class="linenos">59</span></a><span class="sd">        \Delta_\text{not} +</span>
</span><span id="L-60"><a href="#L-60"><span class="linenos">60</span></a><span class="sd">        \Delta_\text{fully} +</span>
</span><span id="L-61"><a href="#L-61"><span class="linenos">61</span></a><span class="sd">        \Delta_\text{fit} +</span>
</span><span id="L-62"><a href="#L-62"><span class="linenos">62</span></a><span class="sd">        \Delta_\text{on} +</span>
</span><span id="L-63"><a href="#L-63"><span class="linenos">63</span></a><span class="sd">        \Delta_\text{the} +</span>
</span><span id="L-64"><a href="#L-64"><span class="linenos">64</span></a><span class="sd">        \Delta_\text{screen}</span>
</span><span id="L-65"><a href="#L-65"><span class="linenos">65</span></a><span class="sd">    $$</span>
</span><span id="L-66"><a href="#L-66"><span class="linenos">66</span></a><span class="sd">    &quot;&quot;&quot;</span>
</span></pre></div>


            </section>
                <section id="binom_coef">
                            <input id="binom_coef-view-source" class="view-source-toggle-state" type="checkbox" aria-hidden="true" tabindex="-1">
<div class="attr function">
            
        <span class="def">def</span>
        <span class="name">binom_coef</span><span class="signature pdoc-code condensed">(<span class="param"><span class="n">n</span><span class="p">:</span> <span class="nb">int</span>, </span><span class="param"><span class="n">k</span><span class="p">:</span> <span class="nb">int</span></span><span class="return-annotation">) -> <span class="nb">int</span>:</span></span>

                <label class="view-source-button" for="binom_coef-view-source"><span>View Source</span></label>

    </div>
    <a class="headerlink" href="#binom_coef"></a>
            <div class="pdoc-code codehilite"><pre><span></span><span id="binom_coef-39"><a href="#binom_coef-39"><span class="linenos">39</span></a><span class="k">def</span> <span class="nf">binom_coef</span><span class="p">(</span><span class="n">n</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">k</span><span class="p">:</span> <span class="nb">int</span><span class="p">)</span> <span class="o">-&gt;</span> <span class="nb">int</span><span class="p">:</span>
</span><span id="binom_coef-40"><a href="#binom_coef-40"><span class="linenos">40</span></a><span class="w">    </span><span class="sd">&quot;&quot;&quot;</span>
</span><span id="binom_coef-41"><a href="#binom_coef-41"><span class="linenos">41</span></a><span class="sd">    Return the number of ways to choose $k$ items from $n$ items without repetition and without order.</span>
</span><span id="binom_coef-42"><a href="#binom_coef-42"><span class="linenos">42</span></a>
</span><span id="binom_coef-43"><a href="#binom_coef-43"><span class="linenos">43</span></a><span class="sd">    Evaluates to $n! / (k! * (n - k)!)$ when $k &lt;= n$ and evaluates to zero when $k &gt; n$.</span>
</span><span id="binom_coef-44"><a href="#binom_coef-44"><span class="linenos">44</span></a><span class="sd">    &quot;&quot;&quot;</span>
</span><span id="binom_coef-45"><a href="#binom_coef-45"><span class="linenos">45</span></a>    <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">comb</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="n">k</span><span class="p">)</span>
</span></pre></div>


            <div class="docstring"><p>Return the number of ways to choose $k$ items from $n$ items without repetition and without order.</p>

<p>Evaluates to $n! / (k! * (n - k)!)$ when $k &lt;= n$ and evaluates to zero when $k &gt; n$.</p>
</div>


                </section>
                <section id="long_formula">
                            <input id="long_formula-view-source" class="view-source-toggle-state" type="checkbox" aria-hidden="true" tabindex="-1">
<div class="attr function">
            
        <span class="def">def</span>
        <span class="name">long_formula</span><span class="signature pdoc-code condensed">(<span class="return-annotation">):</span></span>

                <label class="view-source-button" for="long_formula-view-source"><span>View Source</span></label>

    </div>
    <a class="headerlink" href="#long_formula"></a>
            <div class="pdoc-code codehilite"><pre><span></span><span id="long_formula-48"><a href="#long_formula-48"><span class="linenos">48</span></a><span class="k">def</span> <span class="nf">long_formula</span><span class="p">():</span>
</span><span id="long_formula-49"><a href="#long_formula-49"><span class="linenos">49</span></a><span class="w">    </span><span class="sa">r</span><span class="sd">&quot;&quot;&quot;</span>
</span><span id="long_formula-50"><a href="#long_formula-50"><span class="linenos">50</span></a><span class="sd">    $$</span>
</span><span id="long_formula-51"><a href="#long_formula-51"><span class="linenos">51</span></a><span class="sd">        \Delta =</span>
</span><span id="long_formula-52"><a href="#long_formula-52"><span class="linenos">52</span></a><span class="sd">        \Delta_\text{this} +</span>
</span><span id="long_formula-53"><a href="#long_formula-53"><span class="linenos">53</span></a><span class="sd">        \Delta_\text{is} +</span>
</span><span id="long_formula-54"><a href="#long_formula-54"><span class="linenos">54</span></a><span class="sd">        \Delta_\text{a} +</span>
</span><span id="long_formula-55"><a href="#long_formula-55"><span class="linenos">55</span></a><span class="sd">        \Delta_\text{very} +</span>
</span><span id="long_formula-56"><a href="#long_formula-56"><span class="linenos">56</span></a><span class="sd">        \Delta_\text{long} +</span>
</span><span id="long_formula-57"><a href="#long_formula-57"><span class="linenos">57</span></a><span class="sd">        \Delta_\text{formula} +</span>
</span><span id="long_formula-58"><a href="#long_formula-58"><span class="linenos">58</span></a><span class="sd">        \Delta_\text{that} +</span>
</span><span id="long_formula-59"><a href="#long_formula-59"><span class="linenos">59</span></a><span class="sd">        \Delta_\text{does} +</span>
</span><span id="long_formula-60"><a href="#long_formula-60"><span class="linenos">60</span></a><span class="sd">        \Delta_\text{not} +</span>
</span><span id="long_formula-61"><a href="#long_formula-61"><span class="linenos">61</span></a><span class="sd">        \Delta_\text{fully} +</span>
</span><span id="long_formula-62"><a href="#long_formula-62"><span class="linenos">62</span></a><span class="sd">        \Delta_\text{fit} +</span>
</span><span id="long_formula-63"><a href="#long_formula-63"><span class="linenos">63</span></a><span class="sd">        \Delta_\text{on} +</span>
</span><span id="long_formula-64"><a href="#long_formula-64"><span class="linenos">64</span></a><span class="sd">        \Delta_\text{the} +</span>
</span><span id="long_formula-65"><a href="#long_formula-65"><span class="linenos">65</span></a><span class="sd">        \Delta_\text{screen}</span>
</span><span id="long_formula-66"><a href="#long_formula-66"><span class="linenos">66</span></a><span class="sd">    $$</span>
</span><span id="long_formula-67"><a href="#long_formula-67"><span class="linenos">67</span></a><span class="sd">    &quot;&quot;&quot;</span>
</span></pre></div>


            <div class="docstring"><p>$$
    \Delta =
    \Delta_\text{this} +
    \Delta_\text{is} +
    \Delta_\text{a} +
    \Delta_\text{very} +
    \Delta_\text{long} +
    \Delta_\text{formula} +
    \Delta_\text{that} +
    \Delta_\text{does} +
    \Delta_\text{not} +
    \Delta_\text{fully} +
    \Delta_\text{fit} +
    \Delta_\text{on} +
    \Delta_\text{the} +
    \Delta_\text{screen}
$$</p>
</div>


                </section>
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