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module-LinearAlgebra.Complex.html
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<h1 class="page-title">Class: Complex</h1>
<section>
<header>
<h2>
<span class="ancestors"><a href="module-LinearAlgebra.html">LinearAlgebra</a>.</span>
Complex
</h2>
</header>
<article>
<div class="container-overview">
<hr>
<dt>
<h4 class="name" id="Complex"><span class="type-signature"></span>new Complex(re, im)</h4>
</dt>
<dd>
<div class="description">
<p>This class represents a complex number a + bi.</p>
</div>
<h5>Parameters:</h5>
<table class="params table table-striped">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>re</code></td>
<td class="type">
<span class="param-type">number</span>
</td>
<td class="description last"><p>The real component of this complex number.</p></td>
</tr>
<tr>
<td class="name"><code>im</code></td>
<td class="type">
<span class="param-type">number</span>
</td>
<td class="description last"><p>The imaginary component of this complex number.</p></td>
</tr>
</tbody>
</table>
<dl class="details">
</dl>
</dd>
</div>
<h3 class="subsection-title">Members</h3>
<dl>
<hr>
<dt class="name" id="re">
<h4 id="re"><span class="type-signature"></span>re<span class="type-signature"> :number</span></h4>
</dt>
<dd>
<div class="description">
<p>The real component of this complex number.</p>
</div>
<h5>Type:</h5>
<ul>
<li>
<span class="param-type">number</span>
</li>
</ul>
<dl class="details">
</dl>
</dd>
<hr>
<dt class="name" id="im">
<h4 id="im"><span class="type-signature"></span>im<span class="type-signature"> :number</span></h4>
</dt>
<dd>
<div class="description">
<p>The imaginary component of this complex number.</p>
</div>
<h5>Type:</h5>
<ul>
<li>
<span class="param-type">number</span>
</li>
</ul>
<dl class="details">
</dl>
</dd>
</dl>
<h3 class="subsection-title">Methods</h3>
<dl>
<hr>
<dt>
<h4 class="name" id="arg"><span class="type-signature"></span>arg()</h4>
</dt>
<dd>
<div class="description">
<p>Computes the phase angle of this complex number.</p>
</div>
<dl class="details">
</dl>
<h5>Returns:</h5>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">number</span>
</dd>
</dl>
</dd>
<hr>
<dt>
<h4 class="name" id="norm"><span class="type-signature"></span>norm()</h4>
</dt>
<dd>
<div class="description">
<p>Computes the norm of this complex number.</p>
</div>
<dl class="details">
</dl>
<h5>Returns:</h5>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">number</span>
</dd>
</dl>
</dd>
<hr>
<dt>
<h4 class="name" id="norm2"><span class="type-signature"></span>norm2()</h4>
</dt>
<dd>
<div class="description">
<p>Computes the squared norm of this complex number.</p>
</div>
<dl class="details">
</dl>
<h5>Returns:</h5>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type">number</span>
</dd>
</dl>
</dd>
<hr>
<dt>
<h4 class="name" id="conjugate"><span class="type-signature"></span>conjugate()</h4>
</dt>
<dd>
<div class="description">
<p>Computes a - bi</p>
</div>
<dl class="details">
</dl>
<h5>Returns:</h5>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type"><a href="module-LinearAlgebra.Complex.html">module:LinearAlgebra.Complex</a></span>
</dd>
</dl>
</dd>
<hr>
<dt>
<h4 class="name" id="inverse"><span class="type-signature"></span>inverse()</h4>
</dt>
<dd>
<div class="description">
<p>Computes (a + bi)^-1</p>
</div>
<dl class="details">
</dl>
<h5>Returns:</h5>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type"><a href="module-LinearAlgebra.Complex.html">module:LinearAlgebra.Complex</a></span>
</dd>
</dl>
</dd>
<hr>
<dt>
<h4 class="name" id="polar"><span class="type-signature"></span>polar()</h4>
</dt>
<dd>
<div class="description">
<p>Computes the polar form ae^(iθ), where a is the norm and θ is the<br>
phase angle of this complex number.</p>
</div>
<dl class="details">
</dl>
<h5>Returns:</h5>
<dl>
<dt>
Type
</dt>
<dd>
<span class="param-type"><a href="module-LinearAlgebra.Complex.html">module:LinearAlgebra.Complex</a></span>
</dd>
</dl>