commons-math3-3.6.1/docs/apidocs/org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html


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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
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<div class="subTitle">org.apache.commons.math3.geometry.euclidean.oned</div>
<h2 title="Class Vector1D" class="title">Class Vector1D</h2>
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<ul class="inheritance">
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<dd><a href="http://docs.oracle.com/javase/7/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a>, <a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;, <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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</dd>
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<pre>public class <span class="strong">Vector1D</span>
extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>
implements <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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</pre>
<div class="block">This class represents a 1D vector.
 <p>Instances of this class are guaranteed to be immutable.</p></div>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>3.0</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../serialized-form.html#org.apache.commons.math3.geometry.euclidean.oned.Vector1D">Serialized Form</a></dd></dl>
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<caption><span>Fields</span><span class="tabEnd">&nbsp;</span></caption>
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<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Field and Description</th>
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<tr class="altColor">
<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#NaN">NaN</a></strong></code>
<div class="block">A vector with all coordinates set to NaN.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#NEGATIVE_INFINITY">NEGATIVE_INFINITY</a></strong></code>
<div class="block">A vector with all coordinates set to negative infinity.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#ONE">ONE</a></strong></code>
<div class="block">Unit (coordinates: 1).</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#POSITIVE_INFINITY">POSITIVE_INFINITY</a></strong></code>
<div class="block">A vector with all coordinates set to positive infinity.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#ZERO">ZERO</a></strong></code>
<div class="block">Origin (coordinates: 0).</div>
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<h3>Constructor Summary</h3>
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<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
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<th class="colOne" scope="col">Constructor and Description</th>
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<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#Vector1D(double)">Vector1D</a></strong>(double&nbsp;x)</code>
<div class="block">Simple constructor.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#Vector1D(double,%20org.apache.commons.math3.geometry.euclidean.oned.Vector1D)">Vector1D</a></strong>(double&nbsp;a,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u)</code>
<div class="block">Multiplicative constructor
 Build a vector from another one and a scale factor.</div>
</td>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#Vector1D(double,%20org.apache.commons.math3.geometry.euclidean.oned.Vector1D,%20double,%20org.apache.commons.math3.geometry.euclidean.oned.Vector1D)">Vector1D</a></strong>(double&nbsp;a1,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u1,
        double&nbsp;a2,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u2)</code>
<div class="block">Linear constructor
 Build a vector from two other ones and corresponding scale factors.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#Vector1D(double,%20org.apache.commons.math3.geometry.euclidean.oned.Vector1D,%20double,%20org.apache.commons.math3.geometry.euclidean.oned.Vector1D,%20double,%20org.apache.commons.math3.geometry.euclidean.oned.Vector1D)">Vector1D</a></strong>(double&nbsp;a1,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u1,
        double&nbsp;a2,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u2,
        double&nbsp;a3,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u3)</code>
<div class="block">Linear constructor
 Build a vector from three other ones and corresponding scale factors.</div>
</td>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#Vector1D(double,%20org.apache.commons.math3.geometry.euclidean.oned.Vector1D,%20double,%20org.apache.commons.math3.geometry.euclidean.oned.Vector1D,%20double,%20org.apache.commons.math3.geometry.euclidean.oned.Vector1D,%20double,%20org.apache.commons.math3.geometry.euclidean.oned.Vector1D)">Vector1D</a></strong>(double&nbsp;a1,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u1,
        double&nbsp;a2,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u2,
        double&nbsp;a3,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u3,
        double&nbsp;a4,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u4)</code>
<div class="block">Linear constructor
 Build a vector from four other ones and corresponding scale factors.</div>
</td>
</tr>
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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/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#add(double,%20org.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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</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/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</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/euclidean/oned/Vector1D.html#distance(org.apache.commons.math3.geometry.Point)">distance</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;p)</code>
<div class="block">Compute the distance between the instance and another point.</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/euclidean/oned/Vector1D.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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;p)</code>
<div class="block"><strong>Deprecated.</strong>&nbsp;
<div class="block"><i>as of 3.3, replaced with <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#distance(org.apache.commons.math3.geometry.Point)"><code>distance(Point)</code></a></i></div>
</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#distance(org.apache.commons.math3.geometry.euclidean.oned.Vector1D,%20org.apache.commons.math3.geometry.euclidean.oned.Vector1D)">distance</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;p1,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;p2)</code>
<div class="block">Compute the distance between two vectors 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/euclidean/oned/Vector1D.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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;p)</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/euclidean/oned/Vector1D.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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;p)</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>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#distanceInf(org.apache.commons.math3.geometry.euclidean.oned.Vector1D,%20org.apache.commons.math3.geometry.euclidean.oned.Vector1D)">distanceInf</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;p1,
           <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;p2)</code>
<div class="block">Compute the distance between two vectors according to the L<sub>&infin;</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/euclidean/oned/Vector1D.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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;p)</code>
<div class="block">Compute the square of the distance between the instance and another vector.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#distanceSq(org.apache.commons.math3.geometry.euclidean.oned.Vector1D,%20org.apache.commons.math3.geometry.euclidean.oned.Vector1D)">distanceSq</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;p1,
          <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;p2)</code>
<div class="block">Compute the square of the distance between two vectors.</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/euclidean/oned/Vector1D.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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</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>boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#equals(java.lang.Object)">equals</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>&nbsp;other)</code>
<div class="block">Test for the equality of two 1D vectors.</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/euclidean/oned/Vector1D.html#getNorm()">getNorm</a></strong>()</code>
<div class="block">Get the L<sub>2</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/euclidean/oned/Vector1D.html#getNorm1()">getNorm1</a></strong>()</code>
<div class="block">Get the L<sub>1</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/euclidean/oned/Vector1D.html#getNormInf()">getNormInf</a></strong>()</code>
<div class="block">Get the L<sub>&infin;</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/euclidean/oned/Vector1D.html#getNormSq()">getNormSq</a></strong>()</code>
<div class="block">Get the square of the norm for the vector.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#getSpace()">getSpace</a></strong>()</code>
<div class="block">Get the space to which the point belongs.</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/euclidean/oned/Vector1D.html#getX()">getX</a></strong>()</code>
<div class="block">Get the abscissa of the vector.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.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="rowColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#hashCode()">hashCode</a></strong>()</code>
<div class="block">Get a hashCode for the 1D vector.</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/euclidean/oned/Vector1D.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>boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#isNaN()">isNaN</a></strong>()</code>
<div class="block">Returns true if any coordinate of this point is NaN; false otherwise</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#negate()">negate</a></strong>()</code>
<div class="block">Get the opposite of the instance.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#normalize()">normalize</a></strong>()</code>
<div class="block">Get a normalized vector aligned with the instance.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#scalarMultiply(double)">scalarMultiply</a></strong>(double&nbsp;a)</code>
<div class="block">Multiply the instance by a scalar.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#subtract(double,%20org.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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;v)</code>
<div class="block">Subtract a scaled vector from the instance.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;p)</code>
<div class="block">Subtract a vector from the instance.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="http://docs.oracle.com/javase/7/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/euclidean/oned/Vector1D.html#toString()">toString</a></strong>()</code>
<div class="block">Get a string representation of this vector.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="http://docs.oracle.com/javase/7/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/euclidean/oned/Vector1D.html#toString(java.text.NumberFormat)">toString</a></strong>(<a href="http://docs.oracle.com/javase/7/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 class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3>
<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
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<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a> ZERO</pre>
<div class="block">Origin (coordinates: 0).</div>
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<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a> ONE</pre>
<div class="block">Unit (coordinates: 1).</div>
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<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a> NaN</pre>
<div class="block">A vector with all coordinates set to NaN.</div>
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<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a> POSITIVE_INFINITY</pre>
<div class="block">A vector with all coordinates set to positive infinity.</div>
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<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a> NEGATIVE_INFINITY</pre>
<div class="block">A vector with all coordinates set to negative infinity.</div>
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<pre>public&nbsp;Vector1D(double&nbsp;x)</pre>
<div class="block">Simple constructor.
 Build a vector from its coordinates</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - abscissa</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#getX()"><code>getX()</code></a></dd></dl>
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<pre>public&nbsp;Vector1D(double&nbsp;a,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u)</pre>
<div class="block">Multiplicative constructor
 Build a vector from another one and a scale factor.
 The vector built will be a * u</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - scale factor</dd><dd><code>u</code> - base (unscaled) vector</dd></dl>
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<pre>public&nbsp;Vector1D(double&nbsp;a1,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u1,
        double&nbsp;a2,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u2)</pre>
<div class="block">Linear constructor
 Build a vector from two other ones and corresponding scale factors.
 The vector built will be a1 * u1 + a2 * u2</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - first scale factor</dd><dd><code>u1</code> - first base (unscaled) vector</dd><dd><code>a2</code> - second scale factor</dd><dd><code>u2</code> - second base (unscaled) vector</dd></dl>
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<pre>public&nbsp;Vector1D(double&nbsp;a1,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u1,
        double&nbsp;a2,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u2,
        double&nbsp;a3,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u3)</pre>
<div class="block">Linear constructor
 Build a vector from three other ones and corresponding scale factors.
 The vector built will be a1 * u1 + a2 * u2 + a3 * u3</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - first scale factor</dd><dd><code>u1</code> - first base (unscaled) vector</dd><dd><code>a2</code> - second scale factor</dd><dd><code>u2</code> - second base (unscaled) vector</dd><dd><code>a3</code> - third scale factor</dd><dd><code>u3</code> - third base (unscaled) vector</dd></dl>
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<pre>public&nbsp;Vector1D(double&nbsp;a1,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u1,
        double&nbsp;a2,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u2,
        double&nbsp;a3,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u3,
        double&nbsp;a4,
        <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;u4)</pre>
<div class="block">Linear constructor
 Build a vector from four other ones and corresponding scale factors.
 The vector built will be a1 * u1 + a2 * u2 + a3 * u3 + a4 * u4</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - first scale factor</dd><dd><code>u1</code> - first base (unscaled) vector</dd><dd><code>a2</code> - second scale factor</dd><dd><code>u2</code> - second base (unscaled) vector</dd><dd><code>a3</code> - third scale factor</dd><dd><code>u3</code> - third base (unscaled) vector</dd><dd><code>a4</code> - fourth scale factor</dd><dd><code>u4</code> - fourth base (unscaled) vector</dd></dl>
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<pre>public&nbsp;double&nbsp;getX()</pre>
<div class="block">Get the abscissa of the vector.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>abscissa of the vector</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#Vector1D(double)"><code>Vector1D(double)</code></a></dd></dl>
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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&nbsp;getSpace()</pre>
<div class="block">Get the space to which the point belongs.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Point.html#getSpace()">getSpace</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>containing space</dd></dl>
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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;getZero()</pre>
<div class="block">Get the null vector of the vectorial space or origin point of the affine space.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#getZero()">getZero</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>null vector of the vectorial space or origin point of the affine space</dd></dl>
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<pre>public&nbsp;double&nbsp;getNorm1()</pre>
<div class="block">Get the L<sub>1</sub> norm for the vector.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#getNorm1()">getNorm1</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>L<sub>1</sub> norm for the vector</dd></dl>
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<pre>public&nbsp;double&nbsp;getNorm()</pre>
<div class="block">Get the L<sub>2</sub> norm for the vector.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#getNorm()">getNorm</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>Euclidean norm for the vector</dd></dl>
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<pre>public&nbsp;double&nbsp;getNormSq()</pre>
<div class="block">Get the square of the norm for the vector.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#getNormSq()">getNormSq</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>square of the Euclidean norm for the vector</dd></dl>
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<pre>public&nbsp;double&nbsp;getNormInf()</pre>
<div class="block">Get the L<sub>&infin;</sub> norm for the vector.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#getNormInf()">getNormInf</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>L<sub>&infin;</sub> norm for the vector</dd></dl>
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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;v)</pre>
<div class="block">Add a vector to the instance.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#add(org.apache.commons.math3.geometry.Vector)">add</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<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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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;v)</pre>
<div class="block">Add a scaled vector to the instance.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#add(double,%20org.apache.commons.math3.geometry.Vector)">add</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<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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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;p)</pre>
<div class="block">Subtract a vector from the instance.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#subtract(org.apache.commons.math3.geometry.Vector)">subtract</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>p</code> - vector to subtract</dd>
<dt><span class="strong">Returns:</span></dt><dd>a new vector</dd></dl>
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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;v)</pre>
<div class="block">Subtract a scaled vector from the instance.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#subtract(double,%20org.apache.commons.math3.geometry.Vector)">subtract</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<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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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&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><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#normalize()">normalize</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<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>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;negate()</pre>
<div class="block">Get the opposite of the instance.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#negate()">negate</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a new vector which is opposite to the instance</dd></dl>
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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;scalarMultiply(double&nbsp;a)</pre>
<div class="block">Multiply the instance by a scalar.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#scalarMultiply(double)">scalarMultiply</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<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>public&nbsp;boolean&nbsp;isNaN()</pre>
<div class="block">Returns true if any coordinate of this point is NaN; false otherwise</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Point.html#isNaN()">isNaN</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>true if any coordinate of this point is NaN; false otherwise</dd></dl>
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<pre>public&nbsp;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><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#isInfinite()">isInfinite</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<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>public&nbsp;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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;p)</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><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#distance1(org.apache.commons.math3.geometry.Vector)">distance1</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>p</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><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Deprecated.html?is-external=true" title="class or interface in java.lang">@Deprecated</a>
public&nbsp;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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;p)</pre>
<div class="block"><span class="strong">Deprecated.</span>&nbsp;<i>as of 3.3, replaced with <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#distance(org.apache.commons.math3.geometry.Point)"><code>distance(Point)</code></a></i></div>
<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><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#distance(org.apache.commons.math3.geometry.Vector)">distance</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>p</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>public&nbsp;double&nbsp;distance(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;p)</pre>
<div class="block">Compute the distance between the instance and another point.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Point.html#distance(org.apache.commons.math3.geometry.Point)">distance</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>p</code> - second point</dd>
<dt><span class="strong">Returns:</span></dt><dd>the distance between the instance and p</dd></dl>
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<pre>public&nbsp;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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;p)</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><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#distanceInf(org.apache.commons.math3.geometry.Vector)">distanceInf</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>p</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>public&nbsp;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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;p)</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><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#distanceSq(org.apache.commons.math3.geometry.Vector)">distanceSq</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>p</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>public&nbsp;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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;v)</pre>
<div class="block">Compute the dot-product of the instance and another vector.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#dotProduct(org.apache.commons.math3.geometry.Vector)">dotProduct</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<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>public static&nbsp;double&nbsp;distance(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;p1,
              <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;p2)</pre>
<div class="block">Compute the distance between two vectors according to the L<sub>2</sub> norm.
 <p>Calling this method is equivalent to calling:
 <code>p1.subtract(p2).getNorm()</code> except that no intermediate
 vector is built</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p1</code> - first vector</dd><dd><code>p2</code> - second vector</dd>
<dt><span class="strong">Returns:</span></dt><dd>the distance between p1 and p2 according to the L<sub>2</sub> norm</dd></dl>
</li>
</ul>
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<pre>public static&nbsp;double&nbsp;distanceInf(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;p1,
                 <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;p2)</pre>
<div class="block">Compute the distance between two vectors according to the L<sub>&infin;</sub> norm.
 <p>Calling this method is equivalent to calling:
 <code>p1.subtract(p2).getNormInf()</code> except that no intermediate
 vector is built</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p1</code> - first vector</dd><dd><code>p2</code> - second vector</dd>
<dt><span class="strong">Returns:</span></dt><dd>the distance between p1 and p2 according to the L<sub>&infin;</sub> norm</dd></dl>
</li>
</ul>
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<pre>public static&nbsp;double&nbsp;distanceSq(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;p1,
                <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;p2)</pre>
<div class="block">Compute the square of the distance between two vectors.
 <p>Calling this method is equivalent to calling:
 <code>p1.subtract(p2).getNormSq()</code> except that no intermediate
 vector is built</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p1</code> - first vector</dd><dd><code>p2</code> - second vector</dd>
<dt><span class="strong">Returns:</span></dt><dd>the square of the distance between p1 and p2</dd></dl>
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<h4>equals</h4>
<pre>public&nbsp;boolean&nbsp;equals(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>&nbsp;other)</pre>
<div class="block">Test for the equality of two 1D vectors.
 <p>
 If all coordinates of two 1D vectors are exactly the same, and none are
 <code>Double.NaN</code>, the two 1D vectors are considered to be equal.
 </p>
 <p>
 <code>NaN</code> coordinates are considered to affect globally the vector
 and be equals to each other - i.e, if either (or all) coordinates of the
 1D vector are equal to <code>Double.NaN</code>, the 1D vector is equal to
 <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html#NaN"><code>NaN</code></a>.
 </p></div>
<dl>
<dt><strong>Overrides:</strong></dt>
<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>other</code> - Object to test for equality to this</dd>
<dt><span class="strong">Returns:</span></dt><dd>true if two 1D vector objects are equal, false if
         object is null, not an instance of Vector1D, or
         not equal to this Vector1D instance</dd></dl>
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<h4>hashCode</h4>
<pre>public&nbsp;int&nbsp;hashCode()</pre>
<div class="block">Get a hashCode for the 1D vector.
 <p>
 All NaN values have the same hash code.</p></div>
<dl>
<dt><strong>Overrides:</strong></dt>
<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a hash code value for this object</dd></dl>
</li>
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<h4>toString</h4>
<pre>public&nbsp;<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;toString()</pre>
<div class="block">Get a string representation of this vector.</div>
<dl>
<dt><strong>Overrides:</strong></dt>
<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a></code>&nbsp;in class&nbsp;<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a string representation of this vector</dd></dl>
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<pre>public&nbsp;<a href="http://docs.oracle.com/javase/7/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/7/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><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html#toString(java.text.NumberFormat)">toString</a></code>&nbsp;in interface&nbsp;<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/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<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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