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<div class="title">DOTRIGHTDIVIDE Element-wise Right-Division Operator </div> </div>
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<div class="textblock"><p>Section: <a class="el" href="sec_operators.html">Mathematical Operators</a> </p>
<h1><a class="anchor" id="Usage"></a>
Usage</h1>
<p>Divides two numerical arrays (elementwise). There are two forms for its use, both with the same general syntax: </p>
<pre class="fragment"> y = a ./ b
</pre><p> where <code>a</code> and <code>b</code> are <code>n</code>-dimensional arrays of numerical type. In the first case, the two arguments are the same size, in which case, the output <code>y</code> is the same size as the inputs, and is the element-wise division of <code>b</code> by <code>a</code>. In the second case, either <code>a</code> or <code>b</code> is a scalar, in which case <code>y</code> is the same size as the larger argument, and is the division of the scalar with each element of the other argument.</p>
<p>The rules for manipulating types has changed in FreeMat 4.0. See <code>typerules</code> for more details.</p>
<h1><a class="anchor" id="Function"></a>
Internals</h1>
<p>There are three formulae for the dot-right-divide operator, depending on the sizes of the three arguments. In the most general case, in which the two arguments are the same size, the output is computed via: </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ y(m_1,\ldots,m_d) = \frac{a(m_1,\ldots,m_d)}{b(m_1,\ldots,m_d)} \]" src="form_102.png"/>
</p>
<p> If <code>a</code> is a scalar, then the output is computed via </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ y(m_1,\ldots,m_d) = \frac{a}{b(m_1,\ldots,m_d)} \]" src="form_103.png"/>
</p>
<p> On the other hand, if <code>b</code> is a scalar, then the output is computed via </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ y(m_1,\ldots,m_d) = \frac{a(m_1,\ldots,m_d)}{b}. \]" src="form_104.png"/>
</p>
<h1><a class="anchor" id="Examples"></a>
Examples</h1>
<p>Here are some examples of using the dot-right-divide operator. First, a straight-forward usage of the <code>./</code> operator. The first example is straightforward:</p>
<pre class="fragment">--> 3 ./ 8
ans =
0.3750
</pre><p>We can also divide complex arguments:</p>
<pre class="fragment">--> a = 3 + 4*i
a =
3.0000 + 4.0000i
--> b = 5 + 8*i
b =
5.0000 + 8.0000i
--> c = a ./ b
c =
0.5281 - 0.0449i
</pre><p>We can also demonstrate the three forms of the dot-right-divide operator. First the element-wise version:</p>
<pre class="fragment">--> a = [1,2;3,4]
a =
1 2
3 4
--> b = [2,3;6,7]
b =
2 3
6 7
--> c = a ./ b
c =
0.5000 0.6667
0.5000 0.5714
</pre><p>Then the scalar versions</p>
<pre class="fragment">--> c = a ./ 3
c =
0.3333 0.6667
1.0000 1.3333
--> c = 3 ./ a
c =
3.0000 1.5000
1.0000 0.7500
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