move geometry to geometry2d and add new geometry module (3d)
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<!DOCTYPE html>
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<html xmlns="http://www.w3.org/1999/xhtml">
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<head>
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<meta charset="utf-8" />
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<title>pylib.function module — pylib 2019.12.21 documentation</title>
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<div class="document">
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<div class="bodywrapper">
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<div class="body" role="main">
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<div class="section" id="module-pylib.function">
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<span id="pylib-function-module"></span><h1>pylib.function module<a class="headerlink" href="#module-pylib.function" title="Permalink to this headline">¶</a></h1>
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<p>Mathematical equations.</p>
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<dl class="field-list simple">
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<dt class="field-odd">Date</dt>
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<dd class="field-odd"><p>2019-11-15</p>
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</dd>
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</dl>
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<span class="target" id="module-function"></span><dl class="function">
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<dt id="pylib.function.cosine_wave">
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<code class="sig-name descname">cosine_wave</code><span class="sig-paren">(</span><em class="sig-param">A=1</em>, <em class="sig-param">k=1</em>, <em class="sig-param">f=1</em>, <em class="sig-param">phi=0</em>, <em class="sig-param">D=0</em>, <em class="sig-param">degree=False</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/function.html#cosine_wave"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.function.cosine_wave" title="Permalink to this definition">¶</a></dt>
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<dd><p>A cosine wave is said to be sinusoidal, because,
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<span class="math notranslate nohighlight">\(\cos(x) = \sin(x + \pi/2)\)</span>, which is also a sine wave with a
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phase-shift of π/2 radians. Because of this head start, it is often
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said that the cosine function leads the sine function or the sine
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lags the cosine.</p>
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<dl class="field-list simple">
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<dt class="field-odd">Parameters</dt>
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<dd class="field-odd"><ul class="simple">
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<li><p><strong>A</strong> (<em>float</em><em> or </em><em>int</em>) – amplitude</p></li>
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<li><p><strong>k</strong> (<em>float</em><em> or </em><em>int</em>) – (angular) wave number</p></li>
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<li><p><strong>f</strong> (<em>float</em><em> or </em><em>int</em>) – ordinary frequency</p></li>
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<li><p><strong>phi</strong> (<em>float</em><em> or </em><em>int</em>) – phase</p></li>
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<li><p><strong>D</strong> (<em>float</em><em> or </em><em>int</em>) – non-zero center amplitude</p></li>
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<li><p><strong>degree</strong> (<em>bool</em>) – boolean to switch between radians and degree. If
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False phi is interpreted in radians and if True then phi is
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interpreted in degrees.</p></li>
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</ul>
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</dd>
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<dt class="field-even">Results</dt>
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<dd class="field-even"><p>sine wave function of spatial variable x and optional
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time t</p>
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</dd>
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</dl>
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<div class="admonition seealso">
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<p class="admonition-title">See also</p>
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<p><a class="reference internal" href="#pylib.function.sine_wave" title="pylib.function.sine_wave"><code class="xref py py-meth docutils literal notranslate"><span class="pre">sine_wave()</span></code></a></p>
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</div>
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</dd></dl>
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<dl class="function">
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<dt id="pylib.function.epitrochoid">
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<code class="sig-name descname">epitrochoid</code><span class="sig-paren">(</span><em class="sig-param">R</em>, <em class="sig-param">r</em>, <em class="sig-param">d</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/function.html#epitrochoid"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.function.epitrochoid" title="Permalink to this definition">¶</a></dt>
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<dd><p>Epitrochoid</p>
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<p>A point is attached with a distance d from the center of a circle
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of radius r. The circle is rolling around the outside of a fixed
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circle of radius R.</p>
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<dl class="field-list simple">
|
||||
<dt class="field-odd">Parameters</dt>
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<dd class="field-odd"><ul class="simple">
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<li><p><strong>R</strong> (<em>float</em>) – radius of the fixed interior circle</p></li>
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<li><p><strong>r</strong> – radius of the rolling circle outside of the fixed circle</p></li>
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<li><p><strong>d</strong> (<em>float</em>) – distance from the center of the exterior circle</p></li>
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</ul>
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</dd>
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<dt class="field-even">Typre r</dt>
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<dd class="field-even"><p>float</p>
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</dd>
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<dt class="field-odd">Results</dt>
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<dd class="field-odd"><p>functions for x of theta and y of theta</p>
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</dd>
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<dt class="field-even">Return type</dt>
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<dd class="field-even"><p>tuple</p>
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</dd>
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</dl>
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<div class="math notranslate nohighlight">
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\[\begin{split}x(\theta) = (R + r)\cos\theta - d\cos\left(\frac{R+r}{r}\theta\right) \\
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y(\theta) = (R + r)\sin\theta - d\sin\left(\frac{R+r}{r}\theta\right) \\
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\theta = \left[0, 2\pi\right]\end{split}\]</div>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span> <span class="o">*</span> <span class="o">*</span> <span class="o">*</span>
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<span class="o">*</span> <span class="n">R</span> <span class="o">*</span>
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<span class="o">*</span> <span class="o">*</span>
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<span class="o">*</span> <span class="o">*</span> <span class="o">*</span> <span class="o">*</span>
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<span class="o">*</span> <span class="o">*</span> <span class="o">*</span> <span class="n">r</span> <span class="o">*</span>
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<span class="o">*</span> <span class="o">**</span> <span class="o">....</span> <span class="o">*</span>
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<span class="o">*</span> <span class="o">**</span> <span class="n">d</span> <span class="o">*</span>
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<span class="o">*</span> <span class="o">*</span> <span class="o">*</span> <span class="o">*</span>
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||||
<span class="o">*</span> <span class="o">*</span> <span class="o">*</span> <span class="o">*</span>
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<span class="o">*</span> <span class="o">*</span>
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||||
<span class="o">*</span> <span class="o">*</span>
|
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<span class="o">*</span> <span class="o">*</span> <span class="o">*</span>
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</pre></div>
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</div>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="o">=</span> <span class="n">epitrochoid</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">)[:</span><span class="mi">1</span><span class="p">]</span>
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<span class="gp">>>> </span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">theta_end</span> <span class="o">=</span> <span class="n">epitrochoid</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">)</span>
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</pre></div>
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</div>
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</dd></dl>
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<dl class="function">
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<dt id="pylib.function.hypotrochoid">
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<code class="sig-name descname">hypotrochoid</code><span class="sig-paren">(</span><em class="sig-param">R</em>, <em class="sig-param">r</em>, <em class="sig-param">d</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/function.html#hypotrochoid"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.function.hypotrochoid" title="Permalink to this definition">¶</a></dt>
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<dd><p>Hypotrochoid</p>
|
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<p>A point is attached with a distance d from the center of a circle
|
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of radius r. The circle is rolling around the inside of a fixed
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circle of radius R.</p>
|
||||
<dl class="field-list simple">
|
||||
<dt class="field-odd">Parameters</dt>
|
||||
<dd class="field-odd"><ul class="simple">
|
||||
<li><p><strong>R</strong> (<em>float</em>) – radius of the fixed exterior circle</p></li>
|
||||
<li><p><strong>r</strong> – radius of the rolling circle inside of the fixed circle</p></li>
|
||||
<li><p><strong>d</strong> (<em>float</em>) – distance from the center of the interior circle</p></li>
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</ul>
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</dd>
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<dt class="field-even">Typre r</dt>
|
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<dd class="field-even"><p>float</p>
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</dd>
|
||||
<dt class="field-odd">Results</dt>
|
||||
<dd class="field-odd"><p>functions for x of theta and y of theta</p>
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</dd>
|
||||
<dt class="field-even">Return type</dt>
|
||||
<dd class="field-even"><p>tuple</p>
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||||
</dd>
|
||||
</dl>
|
||||
<div class="math notranslate nohighlight">
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||||
\[\begin{split}x(\theta) = (R - r)\cos\theta + d\cos\left(\frac{R-r}{r}\theta\right) \\
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y(\theta) = (R - r)\sin\theta - d\sin\left(\frac{R-r}{r}\theta\right) \\
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\theta = \left[0, 2\pi\frac{\mathrm{lcm}(r, R)}{R}\right]\end{split}\]</div>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span> <span class="o">*</span> <span class="o">*</span> <span class="o">*</span>
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<span class="o">*</span> <span class="n">R</span> <span class="o">*</span>
|
||||
<span class="o">*</span> <span class="o">*</span>
|
||||
<span class="o">*</span> <span class="o">*</span> <span class="o">*</span> <span class="o">*</span>
|
||||
<span class="o">*</span> <span class="o">*</span> <span class="n">r</span> <span class="o">**</span>
|
||||
<span class="o">*</span> <span class="o">*</span> <span class="o">....</span> <span class="o">*</span>
|
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<span class="o">*</span> <span class="o">*</span> <span class="n">d</span> <span class="o">*</span>
|
||||
<span class="o">*</span> <span class="o">*</span> <span class="o">**</span>
|
||||
<span class="o">*</span> <span class="o">*</span> <span class="o">*</span> <span class="o">*</span>
|
||||
<span class="o">*</span> <span class="o">*</span>
|
||||
<span class="o">*</span> <span class="o">*</span>
|
||||
<span class="o">*</span> <span class="o">*</span> <span class="o">*</span>
|
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</pre></div>
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</div>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="o">=</span> <span class="n">hyotrochoid</span><span class="p">(</span><span class="mi">20</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">6</span><span class="p">)[:</span><span class="mi">1</span><span class="p">]</span>
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<span class="gp">>>> </span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">theta_end</span> <span class="o">=</span> <span class="n">hyotrochoid</span><span class="p">(</span><span class="mi">20</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">6</span><span class="p">)</span>
|
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</pre></div>
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</div>
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||||
<div class="admonition seealso">
|
||||
<p class="admonition-title">See also</p>
|
||||
<p><code class="xref py py-meth docutils literal notranslate"><span class="pre">mathematics.lcm()</span></code></p>
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||||
</div>
|
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</dd></dl>
|
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<dl class="function">
|
||||
<dt id="pylib.function.sine_wave">
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<code class="sig-name descname">sine_wave</code><span class="sig-paren">(</span><em class="sig-param">A=1</em>, <em class="sig-param">k=1</em>, <em class="sig-param">f=1</em>, <em class="sig-param">phi=0</em>, <em class="sig-param">D=0</em>, <em class="sig-param">degree=False</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/function.html#sine_wave"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.function.sine_wave" title="Permalink to this definition">¶</a></dt>
|
||||
<dd><p>A sine wave or sinusoid is a mathematical curve that describes a
|
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smooth periodic oscillation.</p>
|
||||
<dl class="field-list simple">
|
||||
<dt class="field-odd">Parameters</dt>
|
||||
<dd class="field-odd"><ul class="simple">
|
||||
<li><p><strong>A</strong> (<em>float</em><em> or </em><em>int</em>) – amplitude</p></li>
|
||||
<li><p><strong>k</strong> (<em>float</em><em> or </em><em>int</em>) – (angular) wave number</p></li>
|
||||
<li><p><strong>f</strong> (<em>float</em><em> or </em><em>int</em>) – ordinary frequency</p></li>
|
||||
<li><p><strong>phi</strong> (<em>float</em><em> or </em><em>int</em>) – phase</p></li>
|
||||
<li><p><strong>D</strong> (<em>float</em><em> or </em><em>int</em>) – non-zero center amplitude</p></li>
|
||||
<li><p><strong>degree</strong> (<em>bool</em>) – boolean to switch between radians and degree. If
|
||||
False phi is interpreted in radians and if True then phi is
|
||||
interpreted in degrees.</p></li>
|
||||
</ul>
|
||||
</dd>
|
||||
<dt class="field-even">Results</dt>
|
||||
<dd class="field-even"><p>sine wave function of spatial variable x and optional
|
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time t</p>
|
||||
</dd>
|
||||
</dl>
|
||||
<p>In general, the function is:</p>
|
||||
<div class="math notranslate nohighlight">
|
||||
\[\begin{split}y(x,t) = A\sin(kx + 2\pi f t + \varphi) + D \\
|
||||
y(x,t) = A\sin(kx + \omega t + \varphi) + D\end{split}\]</div>
|
||||
<p>where:</p>
|
||||
<blockquote>
|
||||
<div><ul class="simple">
|
||||
<li><p>A, amplitude, the peak deviation of the function from zero.</p></li>
|
||||
<li><p>f, ordinary frequency, the number of oscillations (cycles) that
|
||||
occur each second of time.</p></li>
|
||||
<li><p>ω = 2πf, angular frequency, the rate of change of the function
|
||||
argument in units of radians per second. If ω < 0 the wave is
|
||||
moving to the right, if ω > 0 the wave is moving to the left.</p></li>
|
||||
<li><p>φ, phase, specifies (in radians) where in its cycle the
|
||||
oscillation is at t = 0.</p></li>
|
||||
<li><p>x, spatial variable that represents the position on the
|
||||
dimension on which the wave propagates.</p></li>
|
||||
<li><p>k, characteristic parameter called wave number (or angular wave
|
||||
number), which represents the proportionality between the
|
||||
angular frequency ω and the linear speed (speed of propagation)
|
||||
ν.</p></li>
|
||||
<li><p>D, non-zero center amplitude.</p></li>
|
||||
</ul>
|
||||
</div></blockquote>
|
||||
<p>The wavenumber is related to the angular frequency by:</p>
|
||||
<div class="math notranslate nohighlight">
|
||||
\[k={\omega \over v}={2\pi f \over v}={2\pi \over \lambda }\]</div>
|
||||
<p>where λ (lambda) is the wavelength, f is the frequency, and v is the
|
||||
linear speed.</p>
|
||||
<div class="admonition seealso">
|
||||
<p class="admonition-title">See also</p>
|
||||
<p><a class="reference internal" href="#pylib.function.cosine_wave" title="pylib.function.cosine_wave"><code class="xref py py-meth docutils literal notranslate"><span class="pre">cosine_wave()</span></code></a></p>
|
||||
</div>
|
||||
</dd></dl>
|
||||
|
||||
<dl class="function">
|
||||
<dt id="pylib.function.to_str">
|
||||
<code class="sig-name descname">to_str</code><span class="sig-paren">(</span><em class="sig-param">f</em>, <em class="sig-param">x=None</em>, <em class="sig-param">x_0=0</em>, <em class="sig-param">x_1=1</em>, <em class="sig-param">t=None</em>, <em class="sig-param">h=10</em>, <em class="sig-param">w=80</em>, <em class="sig-param">density=1</em>, <em class="sig-param">char_set='line'</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/function.html#to_str"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.function.to_str" title="Permalink to this definition">¶</a></dt>
|
||||
<dd><p>Represent functions as string frame with a specific character set.
|
||||
which are normed to the range of [0, 1] to</p>
|
||||
<dl class="field-list simple">
|
||||
<dt class="field-odd">Parameters</dt>
|
||||
<dd class="field-odd"><ul class="simple">
|
||||
<li><p><strong>f</strong> (<em>function</em><em> or </em><em>list</em>) – function or list of functions normed to the range of [0, 1]</p></li>
|
||||
<li><p><strong>h</strong> (<em>int</em>) – number of chars in vertical direction</p></li>
|
||||
<li><p><strong>w</strong> (<em>int</em>) – number of chars in horizontal direction</p></li>
|
||||
<li><p><strong>char_set</strong> (<em>str</em>) – either “braille” or “block”. “braille” uses Unicode
|
||||
Characters in the Braille Patterns Block (fisrt index U+2800, last
|
||||
index U+28FF <a class="reference internal" href="#cudb" id="id1"><span>[CUDB]</span></a>) and the “block” uses part of the Unicode
|
||||
Characters in the Block Elements Block (fisrt index U+2580, last
|
||||
index U+259F <a class="reference internal" href="#cudb" id="id2"><span>[CUDB]</span></a>). Alias for braille is line and alias for
|
||||
block is histogram</p></li>
|
||||
</ul>
|
||||
</dd>
|
||||
</dl>
|
||||
<dl class="simple">
|
||||
<dt>Usage:</dt><dd><ul class="simple">
|
||||
<li><p>case dependent arguments</p>
|
||||
<ul>
|
||||
<li><p>1 quasi line plot (braille characters)
|
||||
f = lambda function (lambda x, t=0: …)
|
||||
x_1 = max x value
|
||||
x_0 = min x value
|
||||
t = time (animation)</p></li>
|
||||
<li><p>2 histogram (block characters)
|
||||
f = lambda function (lambda x, t=0: …)
|
||||
x_1 = max x value
|
||||
x_0 = min x value
|
||||
t = time (animation)
|
||||
chart=”histogram”</p></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li><p>general arguments
|
||||
w = window width in number of chars
|
||||
density = number of data point per pixel (for line chart higher density makes thicker lines)
|
||||
chart = either “line” or “histogram”</p></li>
|
||||
</ul>
|
||||
</dd>
|
||||
</dl>
|
||||
<p class="rubric">Braille Patterns Block</p>
|
||||
<ul class="simple">
|
||||
<li><p>Dots or pixels per character in vertical direction: 6</p></li>
|
||||
<li><p>Dots or pixels per character in horizontal direction: 2</p></li>
|
||||
</ul>
|
||||
<p>First dot (bottom left) is the zero (0) position of the
|
||||
function. So, a function value of zero does not mean to have zero
|
||||
dots but one.
|
||||
Example of 3 columns and 3 rows (upside down view of ‘normal’ braille/drawille position)</p>
|
||||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span> | ^ y axis
|
||||
| |
|
||||
| ,_____,,_____,,_____,
|
||||
7 + | * *|| * *|| * *|
|
||||
6 + | * *|| * *|| * *|
|
||||
5 + | * *|| * *|| * *|
|
||||
4 + | * *|| * *|| * *|
|
||||
| ;=====;;=====;;=====;
|
||||
3 + | * *|| * *|| * *|
|
||||
2 + | * *|| * *|| * *|
|
||||
1 + | * *|| * *|| * *|
|
||||
0 + - | * *|| * *|| * *| ---> x axis
|
||||
| ;=====;;=====;;=====;
|
||||
-1 + | * *|| * *|| * *|
|
||||
-2 + | * *|| * *|| * *|
|
||||
-3 + | * *|| * *|| * *|
|
||||
-4 + | * *|| * *|| * *|
|
||||
| `````````````````````
|
||||
| |
|
||||
`-----+--+---+--+---+--+-------------
|
||||
-2 -1 0 1 2 3
|
||||
</pre></div>
|
||||
</div>
|
||||
<p class="rubric">Block Elements Block</p>
|
||||
<ul class="simple">
|
||||
<li><p>Dots or pixels per character in vertical direction: 8</p></li>
|
||||
<li><p>Dots or pixels per character in horizontal direction: 1</p></li>
|
||||
</ul>
|
||||
<p>Example of 3 columns and 3 rows</p>
|
||||
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span> | ^ y axis
|
||||
| |
|
||||
| ,_____,,_____,,_____,
|
||||
15 + | --- || --- || --- |
|
||||
14 + | --- || --- || --- |
|
||||
13 + | --- || --- || --- |
|
||||
12 + | --- || --- || --- |
|
||||
11 + | --- || --- || --- |
|
||||
10 + | --- || --- || --- |
|
||||
9 + | --- || --- || --- |
|
||||
8 + | --- || --- || --- |
|
||||
| ;=====;;=====;;=====;
|
||||
7 + | --- || --- || --- |
|
||||
6 + | --- || --- || --- |
|
||||
5 + | --- || --- || --- |
|
||||
4 + | --- || --- || --- |
|
||||
3 + | --- || --- || --- |
|
||||
2 + | --- || --- || --- |
|
||||
1 + | --- || --- || --- |
|
||||
0 + - | --- || --- || --- | ---> x axis
|
||||
| ;=====;;=====;;=====;
|
||||
-1 + | --- || --- || --- |
|
||||
-2 + | --- || --- || --- |
|
||||
-3 + | --- || --- || --- |
|
||||
-4 + | --- || --- || --- |
|
||||
-5 + | --- || --- || --- |
|
||||
-6 + | --- || --- || --- |
|
||||
-7 + | --- || --- || --- |
|
||||
-8 + | --- || --- || --- |
|
||||
| `````````````````````
|
||||
| |
|
||||
`------+------+------+---------------
|
||||
-1 0 1
|
||||
</pre></div>
|
||||
</div>
|
||||
<p class="rubric">References</p>
|
||||
<dl class="citation">
|
||||
<dt class="label" id="cudb"><span class="brackets">CUDB</span><span class="fn-backref">(<a href="#id1">1</a>,<a href="#id2">2</a>)</span></dt>
|
||||
<dd><p><a class="reference external" href="ftp://ftp.unicode.org/Public/UNIDATA/Blocks.txt">Unicode Database - Blocks</a></p>
|
||||
</dd>
|
||||
</dl>
|
||||
<div class="admonition seealso">
|
||||
<p class="admonition-title">See also</p>
|
||||
<p><a class="reference internal" href="#pylib.function.transformation" title="pylib.function.transformation"><code class="xref py py-meth docutils literal notranslate"><span class="pre">pylib.function.transformation()</span></code></a></p>
|
||||
</div>
|
||||
</dd></dl>
|
||||
|
||||
<dl class="function">
|
||||
<dt id="pylib.function.transformation">
|
||||
<code class="sig-name descname">transformation</code><span class="sig-paren">(</span><em class="sig-param">f</em>, <em class="sig-param">scale_vertical=1</em>, <em class="sig-param">scale_horizontal=1</em>, <em class="sig-param">shift_horizontal=0</em>, <em class="sig-param">shift_vertical=0</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/pylib/function.html#transformation"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pylib.function.transformation" title="Permalink to this definition">¶</a></dt>
|
||||
<dd><p>Transform functions.</p>
|
||||
<dl class="field-list simple">
|
||||
<dt class="field-odd">Parameters</dt>
|
||||
<dd class="field-odd"><ul class="simple">
|
||||
<li><p><strong>f</strong> (<em>function</em><em> or </em><em>list</em>) – function or list of functions</p></li>
|
||||
<li><p><strong>scale_vertical</strong> – “a” scale factor in vertical direction (default
|
||||
= 1)</p></li>
|
||||
<li><p><strong>scale_horizontal</strong> – “b” scale factor in horizontal direction
|
||||
(default = 1)</p></li>
|
||||
<li><p><strong>shift_horizontal</strong> – “c” shift factor in horizontal direction
|
||||
(default = 0)</p></li>
|
||||
<li><p><strong>shift_vertical</strong> – “d” shift factor in vertical direction (default
|
||||
= 0)</p></li>
|
||||
</ul>
|
||||
</dd>
|
||||
<dt class="field-even">Returns</dt>
|
||||
<dd class="field-even"><p>transformed function or list of transformed functions</p>
|
||||
</dd>
|
||||
<dt class="field-odd">Return type</dt>
|
||||
<dd class="field-odd"><p>function or list</p>
|
||||
</dd>
|
||||
</dl>
|
||||
<div class="math notranslate nohighlight">
|
||||
\[y = a \, f(b\,(x-c)) + d\]</div>
|
||||
</dd></dl>
|
||||
|
||||
</div>
|
||||
|
||||
|
||||
</div>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<div class="sphinxsidebar" role="navigation" aria-label="main navigation">
|
||||
<div class="sphinxsidebarwrapper">
|
||||
<h1 class="logo"><a href="index.html">pylib</a></h1>
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
<h3>Navigation</h3>
|
||||
<p class="caption"><span class="caption-text">Contents:</span></p>
|
||||
<ul class="current">
|
||||
<li class="toctree-l1 current"><a class="reference internal" href="modules.html">pylib</a><ul class="current">
|
||||
<li class="toctree-l2 current"><a class="reference internal" href="pylib.html">pylib package</a></li>
|
||||
</ul>
|
||||
</li>
|
||||
</ul>
|
||||
|
||||
<div class="relations">
|
||||
<h3>Related Topics</h3>
|
||||
<ul>
|
||||
<li><a href="index.html">Documentation overview</a><ul>
|
||||
<li><a href="modules.html">pylib</a><ul>
|
||||
<li><a href="pylib.html">pylib package</a><ul>
|
||||
<li>Previous: <a href="pylib.drawblock.html" title="previous chapter">pylib.drawblock module</a></li>
|
||||
<li>Next: <a href="pylib.geometry.html" title="next chapter">pylib.geometry module</a></li>
|
||||
</ul></li>
|
||||
</ul></li>
|
||||
</ul></li>
|
||||
</ul>
|
||||
</div>
|
||||
<div id="searchbox" style="display: none" role="search">
|
||||
<h3 id="searchlabel">Quick search</h3>
|
||||
<div class="searchformwrapper">
|
||||
<form class="search" action="search.html" method="get">
|
||||
<input type="text" name="q" aria-labelledby="searchlabel" />
|
||||
<input type="submit" value="Go" />
|
||||
</form>
|
||||
</div>
|
||||
</div>
|
||||
<script type="text/javascript">$('#searchbox').show(0);</script>
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
</div>
|
||||
</div>
|
||||
<div class="clearer"></div>
|
||||
</div>
|
||||
<div class="footer">
|
||||
©2019, Daniel Weschke.
|
||||
|
||||
|
|
||||
Powered by <a href="http://sphinx-doc.org/">Sphinx 2.2.1</a>
|
||||
& <a href="https://github.com/bitprophet/alabaster">Alabaster 0.7.12</a>
|
||||
|
||||
|
|
||||
<a href="_sources/pylib.function.rst.txt"
|
||||
rel="nofollow">Page source</a>
|
||||
</div>
|
||||
|
||||
|
||||
|
||||
|
||||
</body>
|
||||
</html>
|
||||
Reference in New Issue
Block a user