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<div class="subTitle">org.apache.commons.math3.geometry</div>
<h2 title="Interface Vector" class="title">Interface Vector&lt;S extends <a href="../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</h2>
</div>
<div class="contentContainer">
<div class="description">
<ul class="blockList">
<li class="blockList">
<dl><dt><span class="strong">Type Parameters:</span></dt><dd><code>S</code> - Type of the space.</dd></dl>
<dl>
<dt>All Superinterfaces:</dt>
<dd><a href="../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;S&gt;, <a href="http://docs.oracle.com/javase/6/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a></dd>
</dl>
<dl>
<dt>All Known Implementing Classes:</dt>
<dd><a href="../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>, <a href="../../../../../org/apache/commons/math3/geometry/euclidean/twod/Vector2D.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">Vector2D</a>, <a href="../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></dd>
</dl>
<hr>
<br>
<pre>public interface <span class="strong">Vector&lt;S extends <a href="../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</span>
extends <a href="../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;S&gt;</pre>
<div class="block">This interface represents a generic vector in a vectorial space or a point in an affine space.</div>
<dl><dt><span class="strong">Since:</span></dt>
<dd>3.0</dd>
<dt><span class="strong">Version:</span></dt>
<dd>$Id: Vector.java 1555175 2014-01-03 18:07:22Z luc $</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry"><code>Space</code></a>,
<a href="../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry"><code>Point</code></a></dd></dl>
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<h3>Method Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#add(double, org.apache.commons.math3.geometry.Vector)">add</a></strong>(double&nbsp;factor,
<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</code>
<div class="block">Add a scaled vector to the instance.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#add(org.apache.commons.math3.geometry.Vector)">add</a></strong>(<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</code>
<div class="block">Add a vector to the instance.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#distance(org.apache.commons.math3.geometry.Vector)">distance</a></strong>(<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</code>
<div class="block">Compute the distance between the instance and another vector according to the L<sub>2</sub> norm.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#distance1(org.apache.commons.math3.geometry.Vector)">distance1</a></strong>(<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</code>
<div class="block">Compute the distance between the instance and another vector according to the L<sub>1</sub> norm.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#distanceInf(org.apache.commons.math3.geometry.Vector)">distanceInf</a></strong>(<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</code>
<div class="block">Compute the distance between the instance and another vector according to the L<sub>&infin;</sub> norm.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#distanceSq(org.apache.commons.math3.geometry.Vector)">distanceSq</a></strong>(<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</code>
<div class="block">Compute the square of the distance between the instance and another vector.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#dotProduct(org.apache.commons.math3.geometry.Vector)">dotProduct</a></strong>(<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</code>
<div class="block">Compute the dot-product of the instance and another vector.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#getNorm()">getNorm</a></strong>()</code>
<div class="block">Get the L<sub>2</sub> norm for the vector.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#getNorm1()">getNorm1</a></strong>()</code>
<div class="block">Get the L<sub>1</sub> norm for the vector.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#getNormInf()">getNormInf</a></strong>()</code>
<div class="block">Get the L<sub>&infin;</sub> norm for the vector.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#getNormSq()">getNormSq</a></strong>()</code>
<div class="block">Get the square of the norm for the vector.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#getZero()">getZero</a></strong>()</code>
<div class="block">Get the null vector of the vectorial space or origin point of the affine space.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#isInfinite()">isInfinite</a></strong>()</code>
<div class="block">Returns true if any coordinate of this vector is infinite and none are NaN;
false otherwise</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#negate()">negate</a></strong>()</code>
<div class="block">Get the opposite of the instance.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#normalize()">normalize</a></strong>()</code>
<div class="block">Get a normalized vector aligned with the instance.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#scalarMultiply(double)">scalarMultiply</a></strong>(double&nbsp;a)</code>
<div class="block">Multiply the instance by a scalar.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#subtract(double, org.apache.commons.math3.geometry.Vector)">subtract</a></strong>(double&nbsp;factor,
<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</code>
<div class="block">Subtract a scaled vector from the instance.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#subtract(org.apache.commons.math3.geometry.Vector)">subtract</a></strong>(<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</code>
<div class="block">Subtract a vector from the instance.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/geometry/Vector.html#toString(java.text.NumberFormat)">toString</a></strong>(<a href="http://docs.oracle.com/javase/6/docs/api/java/text/NumberFormat.html?is-external=true" title="class or interface in java.text">NumberFormat</a>&nbsp;format)</code>
<div class="block">Get a string representation of this vector.</div>
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<h3>Methods inherited from interface&nbsp;org.apache.commons.math3.geometry.<a href="../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a></h3>
<code><a href="../../../../../org/apache/commons/math3/geometry/Point.html#distance(org.apache.commons.math3.geometry.Point)">distance</a>, <a href="../../../../../org/apache/commons/math3/geometry/Point.html#getSpace()">getSpace</a>, <a href="../../../../../org/apache/commons/math3/geometry/Point.html#isNaN()">isNaN</a></code></li>
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<a name="getZero()">
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<h4>getZero</h4>
<pre><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;getZero()</pre>
<div class="block">Get the null vector of the vectorial space or origin point of the affine space.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>null vector of the vectorial space or origin point of the affine space</dd></dl>
</li>
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<pre>double&nbsp;getNorm1()</pre>
<div class="block">Get the L<sub>1</sub> norm for the vector.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>L<sub>1</sub> norm for the vector</dd></dl>
</li>
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<h4>getNorm</h4>
<pre>double&nbsp;getNorm()</pre>
<div class="block">Get the L<sub>2</sub> norm for the vector.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>Euclidean norm for the vector</dd></dl>
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<pre>double&nbsp;getNormSq()</pre>
<div class="block">Get the square of the norm for the vector.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>square of the Euclidean norm for the vector</dd></dl>
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<pre>double&nbsp;getNormInf()</pre>
<div class="block">Get the L<sub>&infin;</sub> norm for the vector.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>L<sub>&infin;</sub> norm for the vector</dd></dl>
</li>
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<h4>add</h4>
<pre><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;add(<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</pre>
<div class="block">Add a vector to the instance.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - vector to add</dd>
<dt><span class="strong">Returns:</span></dt><dd>a new vector</dd></dl>
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<h4>add</h4>
<pre><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;add(double&nbsp;factor,
<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</pre>
<div class="block">Add a scaled vector to the instance.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>factor</code> - scale factor to apply to v before adding it</dd><dd><code>v</code> - vector to add</dd>
<dt><span class="strong">Returns:</span></dt><dd>a new vector</dd></dl>
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<h4>subtract</h4>
<pre><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;subtract(<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</pre>
<div class="block">Subtract a vector from the instance.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - vector to subtract</dd>
<dt><span class="strong">Returns:</span></dt><dd>a new vector</dd></dl>
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<h4>subtract</h4>
<pre><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;subtract(double&nbsp;factor,
<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</pre>
<div class="block">Subtract a scaled vector from the instance.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>factor</code> - scale factor to apply to v before subtracting it</dd><dd><code>v</code> - vector to subtract</dd>
<dt><span class="strong">Returns:</span></dt><dd>a new vector</dd></dl>
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<h4>negate</h4>
<pre><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;negate()</pre>
<div class="block">Get the opposite of the instance.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>a new vector which is opposite to the instance</dd></dl>
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<h4>normalize</h4>
<pre><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;normalize()
throws <a href="../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></pre>
<div class="block">Get a normalized vector aligned with the instance.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>a new normalized vector</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the norm is zero</dd></dl>
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<pre><a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;scalarMultiply(double&nbsp;a)</pre>
<div class="block">Multiply the instance by a scalar.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - scalar</dd>
<dt><span class="strong">Returns:</span></dt><dd>a new vector</dd></dl>
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<pre>boolean&nbsp;isInfinite()</pre>
<div class="block">Returns true if any coordinate of this vector is infinite and none are NaN;
false otherwise</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>true if any coordinate of this vector is infinite and none are NaN;
false otherwise</dd></dl>
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<pre>double&nbsp;distance1(<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</pre>
<div class="block">Compute the distance between the instance and another vector according to the L<sub>1</sub> norm.
<p>Calling this method is equivalent to calling:
<code>q.subtract(p).getNorm1()</code> except that no intermediate
vector is built</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - second vector</dd>
<dt><span class="strong">Returns:</span></dt><dd>the distance between the instance and p according to the L<sub>1</sub> norm</dd></dl>
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<pre>double&nbsp;distance(<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</pre>
<div class="block">Compute the distance between the instance and another vector according to the L<sub>2</sub> norm.
<p>Calling this method is equivalent to calling:
<code>q.subtract(p).getNorm()</code> except that no intermediate
vector is built</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - second vector</dd>
<dt><span class="strong">Returns:</span></dt><dd>the distance between the instance and p according to the L<sub>2</sub> norm</dd></dl>
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<pre>double&nbsp;distanceInf(<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</pre>
<div class="block">Compute the distance between the instance and another vector according to the L<sub>&infin;</sub> norm.
<p>Calling this method is equivalent to calling:
<code>q.subtract(p).getNormInf()</code> except that no intermediate
vector is built</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - second vector</dd>
<dt><span class="strong">Returns:</span></dt><dd>the distance between the instance and p according to the L<sub>&infin;</sub> norm</dd></dl>
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<pre>double&nbsp;distanceSq(<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</pre>
<div class="block">Compute the square of the distance between the instance and another vector.
<p>Calling this method is equivalent to calling:
<code>q.subtract(p).getNormSq()</code> except that no intermediate
vector is built</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - second vector</dd>
<dt><span class="strong">Returns:</span></dt><dd>the square of the distance between the instance and p</dd></dl>
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<pre>double&nbsp;dotProduct(<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../org/apache/commons/math3/geometry/Vector.html" title="type parameter in Vector">S</a>&gt;&nbsp;v)</pre>
<div class="block">Compute the dot-product of the instance and another vector.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>v</code> - second vector</dd>
<dt><span class="strong">Returns:</span></dt><dd>the dot product this.v</dd></dl>
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<pre><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;toString(<a href="http://docs.oracle.com/javase/6/docs/api/java/text/NumberFormat.html?is-external=true" title="class or interface in java.text">NumberFormat</a>&nbsp;format)</pre>
<div class="block">Get a string representation of this vector.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>format</code> - the custom format for components</dd>
<dt><span class="strong">Returns:</span></dt><dd>a string representation of this vector</dd></dl>
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