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 <div class="subTitle">org.apache.commons.math3.analysis.differentiation</div>
 <h2 title="Class DerivativeStructure" class="title">Class DerivativeStructure</h2>
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 <dd><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>, <a href="../../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;, <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</dd>
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 <pre>public class <span class="strong">DerivativeStructure</span>
 extends <a href="http://docs.oracle.com/javase/6/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/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&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></pre>
 <div class="block">Class representing both the value and the differentials of a function.
  <p>This class is the workhorse of the differentiation package.</p>
  <p>This class is an implementation of the extension to Rall's
  numbers described in Dan Kalman's paper <a
  href="http://www1.american.edu/cas/mathstat/People/kalman/pdffiles/mmgautodiff.pdf">Doubly
  Recursive Multivariate Automatic Differentiation</a>, Mathematics Magazine, vol. 75,
  no. 3, June 2002.</p>. Rall's numbers are an extension to the real numbers used
  throughout mathematical expressions; they hold the derivative together with the
  value of a function. Dan Kalman's derivative structures hold all partial derivatives
  up to any specified order, with respect to any number of free parameters. Rall's
  numbers therefore can be seen as derivative structures for order one derivative and
  one free parameter, and real numbers can be seen as derivative structures with zero
  order derivative and no free parameters.</p>
  <p><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation"><code>DerivativeStructure</code></a> instances can be used directly thanks to
  the arithmetic operators to the mathematical functions provided as
  methods by this class (+, -, *, /, %, sin, cos ...).</p>
  <p>Implementing complex expressions by hand using these classes is
  a tedious and error-prone task but has the advantage of having no limitation
  on the derivation order despite no requiring users to compute the derivatives by
  themselves. Implementing complex expression can also be done by developing computation
  code using standard primitive double values and to use <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/UnivariateFunctionDifferentiator.html" title="interface in org.apache.commons.math3.analysis.differentiation"><code>differentiators</code></a> to create the <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation"><code>DerivativeStructure</code></a>-based instances. This method is simpler but may be limited in
  the accuracy and derivation orders and may be computationally intensive (this is
  typically the case for <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/FiniteDifferencesDifferentiator.html" title="class in org.apache.commons.math3.analysis.differentiation"><code>finite differences
  differentiator</code></a>.</p>
  <p>Instances of this class are guaranteed to be immutable.</p></div>
 <dl><dt><span class="strong">Since:</span></dt>
   <dd>3.1</dd>
 <dt><span class="strong">Version:</span></dt>
   <dd>$Id: DerivativeStructure.java 1517789 2013-08-27 11:15:50Z luc $</dd>
 <dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DSCompiler.html" title="class in org.apache.commons.math3.analysis.differentiation"><code>DSCompiler</code></a>,
 <a href="../../../../../../serialized-form.html#org.apache.commons.math3.analysis.differentiation.DerivativeStructure">Serialized Form</a></dd></dl>
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 </a>
 <h3>Constructor Summary</h3>
 <table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation">
 <caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
 <tr>
 <th class="colOne" scope="col">Constructor and Description</th>
 </tr>
 <tr class="altColor">
 <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#DerivativeStructure(double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">DerivativeStructure</a></strong>(double&nbsp;a1,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds1,
                    double&nbsp;a2,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds2)</code>
 <div class="block">Linear combination constructor.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#DerivativeStructure(double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">DerivativeStructure</a></strong>(double&nbsp;a1,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds1,
                    double&nbsp;a2,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds2,
                    double&nbsp;a3,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds3)</code>
 <div class="block">Linear combination constructor.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#DerivativeStructure(double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">DerivativeStructure</a></strong>(double&nbsp;a1,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds1,
                    double&nbsp;a2,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds2,
                    double&nbsp;a3,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds3,
                    double&nbsp;a4,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds4)</code>
 <div class="block">Linear combination constructor.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#DerivativeStructure(int, int)">DerivativeStructure</a></strong>(int&nbsp;parameters,
                    int&nbsp;order)</code>
 <div class="block">Build an instance with all values and derivatives set to 0.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#DerivativeStructure(int, int, double...)">DerivativeStructure</a></strong>(int&nbsp;parameters,
                    int&nbsp;order,
                    double...&nbsp;derivatives)</code>
 <div class="block">Build an instance from all its derivatives.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#DerivativeStructure(int, int, double)">DerivativeStructure</a></strong>(int&nbsp;parameters,
                    int&nbsp;order,
                    double&nbsp;value)</code>
 <div class="block">Build an instance representing a constant value.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#DerivativeStructure(int, int, int, double)">DerivativeStructure</a></strong>(int&nbsp;parameters,
                    int&nbsp;order,
                    int&nbsp;index,
                    double&nbsp;value)</code>
 <div class="block">Build an instance representing a variable.</div>
 </td>
 </tr>
 </table>
 </li>
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 <!-- ========== METHOD SUMMARY =========== -->
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 <li class="blockList"><a name="method_summary">
 <!--   -->
 </a>
 <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/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#abs()">abs</a></strong>()</code>
 <div class="block">absolute value.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#acos()">acos</a></strong>()</code>
 <div class="block">Arc cosine operation.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#acosh()">acosh</a></strong>()</code>
 <div class="block">Inverse hyperbolic cosine operation.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#add(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">add</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a)</code>
 <div class="block">Compute this + a.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#add(double)">add</a></strong>(double&nbsp;a)</code>
 <div class="block">'+' operator.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#asin()">asin</a></strong>()</code>
 <div class="block">Arc sine operation.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#asinh()">asinh</a></strong>()</code>
 <div class="block">Inverse hyperbolic sine operation.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#atan()">atan</a></strong>()</code>
 <div class="block">Arc tangent operation.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#atan2(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">atan2</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;x)</code>
 <div class="block">Two arguments arc tangent operation.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#atan2(org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">atan2</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;y,
      <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;x)</code>
 <div class="block">Two arguments arc tangent operation.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#atanh()">atanh</a></strong>()</code>
 <div class="block">Inverse hyperbolic  tangent operation.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#cbrt()">cbrt</a></strong>()</code>
 <div class="block">Cubic root.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#ceil()">ceil</a></strong>()</code>
 <div class="block">Get the smallest whole number larger than instance.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#compose(double...)">compose</a></strong>(double...&nbsp;f)</code>
 <div class="block">Compute composition of the instance by a univariate function.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#copySign(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">copySign</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;sign)</code>
 <div class="block">Returns the instance with the sign of the argument.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#copySign(double)">copySign</a></strong>(double&nbsp;sign)</code>
 <div class="block">Returns the instance with the sign of the argument.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#cos()">cos</a></strong>()</code>
 <div class="block">Cosine operation.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#cosh()">cosh</a></strong>()</code>
 <div class="block">Hyperbolic cosine operation.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#createConstant(double)">createConstant</a></strong>(double&nbsp;c)</code>
 <div class="block">Create a constant compatible with instance order and number of parameters.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#divide(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">divide</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a)</code>
 <div class="block">Compute this &divide; a.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#divide(double)">divide</a></strong>(double&nbsp;a)</code>
 <div class="block">'&divide;' operator.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>boolean</code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#equals(java.lang.Object)">equals</a></strong>(<a href="http://docs.oracle.com/javase/6/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 derivative structures.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#exp()">exp</a></strong>()</code>
 <div class="block">Exponential.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#expm1()">expm1</a></strong>()</code>
 <div class="block">Exponential minus 1.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#floor()">floor</a></strong>()</code>
 <div class="block">Get the largest whole number smaller than instance.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>double[]</code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#getAllDerivatives()">getAllDerivatives</a></strong>()</code>
 <div class="block">Get all partial derivatives.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#getExponent()">getExponent</a></strong>()</code>
 <div class="block">Return the exponent of the instance value, removing the bias.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3">Field</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#getField()">getField</a></strong>()</code>
 <div class="block">Get the <a href="../../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3"><code>Field</code></a> to which the instance belongs.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#getFreeParameters()">getFreeParameters</a></strong>()</code>
 <div class="block">Get the number of free parameters.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#getOrder()">getOrder</a></strong>()</code>
 <div class="block">Get the derivation order.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>double</code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#getPartialDerivative(int...)">getPartialDerivative</a></strong>(int...&nbsp;orders)</code>
 <div class="block">Get a partial derivative.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>double</code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#getReal()">getReal</a></strong>()</code>
 <div class="block">Get the real value of the number.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>double</code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#getValue()">getValue</a></strong>()</code>
 <div class="block">Get the value part of the derivative structure.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>int</code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#hashCode()">hashCode</a></strong>()</code>
 <div class="block">Get a hashCode for the derivative structure.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#hypot(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">hypot</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;y)</code>
 <div class="block">Returns the hypotenuse of a triangle with sides <code>this</code> and <code>y</code>
  - sqrt(<i>this</i><sup>2</sup>&nbsp;+<i>y</i><sup>2</sup>)<br/>
  avoiding intermediate overflow or underflow.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#hypot(org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">hypot</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;x,
      <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;y)</code>
 <div class="block">Returns the hypotenuse of a triangle with sides <code>x</code> and <code>y</code>
  - sqrt(<i>x</i><sup>2</sup>&nbsp;+<i>y</i><sup>2</sup>)<br/>
  avoiding intermediate overflow or underflow.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#linearCombination(org.apache.commons.math3.analysis.differentiation.DerivativeStructure[], org.apache.commons.math3.analysis.differentiation.DerivativeStructure[])">linearCombination</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>[]&nbsp;a,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>[]&nbsp;b)</code>
 <div class="block">Compute a linear combination.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#linearCombination(org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">linearCombination</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a1,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b1,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a2,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b2)</code>
 <div class="block">Compute a linear combination.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#linearCombination(org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">linearCombination</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a1,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b1,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a2,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b2,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a3,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b3)</code>
 <div class="block">Compute a linear combination.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#linearCombination(org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">linearCombination</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a1,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b1,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a2,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b2,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a3,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b3,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a4,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b4)</code>
 <div class="block">Compute a linear combination.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#linearCombination(double[], org.apache.commons.math3.analysis.differentiation.DerivativeStructure[])">linearCombination</a></strong>(double[]&nbsp;a,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>[]&nbsp;b)</code>
 <div class="block">Compute a linear combination.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#linearCombination(double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">linearCombination</a></strong>(double&nbsp;a1,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b1,
                  double&nbsp;a2,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b2)</code>
 <div class="block">Compute a linear combination.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#linearCombination(double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">linearCombination</a></strong>(double&nbsp;a1,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b1,
                  double&nbsp;a2,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b2,
                  double&nbsp;a3,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b3)</code>
 <div class="block">Compute a linear combination.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#linearCombination(double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">linearCombination</a></strong>(double&nbsp;a1,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b1,
                  double&nbsp;a2,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b2,
                  double&nbsp;a3,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b3,
                  double&nbsp;a4,
                  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b4)</code>
 <div class="block">Compute a linear combination.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#log()">log</a></strong>()</code>
 <div class="block">Natural logarithm.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#log10()">log10</a></strong>()</code>
 <div class="block">Base 10 logarithm.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#log1p()">log1p</a></strong>()</code>
 <div class="block">Shifted natural logarithm.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#multiply(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">multiply</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a)</code>
 <div class="block">Compute this &times; a.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#multiply(double)">multiply</a></strong>(double&nbsp;a)</code>
 <div class="block">'&times;' operator.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#multiply(int)">multiply</a></strong>(int&nbsp;n)</code>
 <div class="block">Compute n &times; this.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#negate()">negate</a></strong>()</code>
 <div class="block">Returns the additive inverse of <code>this</code> element.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#pow(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">pow</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;e)</code>
 <div class="block">Power operation.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#pow(double)">pow</a></strong>(double&nbsp;p)</code>
 <div class="block">Power operation.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code>static <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#pow(double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">pow</a></strong>(double&nbsp;a,
    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;x)</code>
 <div class="block">Compute a<sup>x</sup> where a is a double and x a <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation"><code>DerivativeStructure</code></a></div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#pow(int)">pow</a></strong>(int&nbsp;n)</code>
 <div class="block">Integer power operation.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#reciprocal()">reciprocal</a></strong>()</code>
 <div class="block">Returns the multiplicative inverse of <code>this</code> element.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#remainder(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">remainder</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a)</code>
 <div class="block">IEEE remainder operator.</div>
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 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#remainder(double)">remainder</a></strong>(double&nbsp;a)</code>
 <div class="block">IEEE remainder operator.</div>
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 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#rint()">rint</a></strong>()</code>
 <div class="block">Get the whole number that is the nearest to the instance, or the even one if x is exactly half way between two integers.</div>
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 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#rootN(int)">rootN</a></strong>(int&nbsp;n)</code>
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 <tr class="altColor">
 <td class="colFirst"><code>long</code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#round()">round</a></strong>()</code>
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 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#scalb(int)">scalb</a></strong>(int&nbsp;n)</code>
 <div class="block">Multiply the instance by a power of 2.</div>
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 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#signum()">signum</a></strong>()</code>
 <div class="block">Compute the signum of the instance.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#sin()">sin</a></strong>()</code>
 <div class="block">Sine operation.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#sinh()">sinh</a></strong>()</code>
 <div class="block">Hyperbolic sine operation.</div>
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 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#sqrt()">sqrt</a></strong>()</code>
 <div class="block">Square root.</div>
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 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
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 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#subtract(double)">subtract</a></strong>(double&nbsp;a)</code>
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 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#tan()">tan</a></strong>()</code>
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 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#tanh()">tanh</a></strong>()</code>
 <div class="block">Hyperbolic tangent operation.</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code>double</code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#taylor(double...)">taylor</a></strong>(double...&nbsp;delta)</code>
 <div class="block">Evaluate Taylor expansion a derivative structure.</div>
 </td>
 </tr>
 <tr class="rowColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#toDegrees()">toDegrees</a></strong>()</code>
 <div class="block">Convert radians to degrees, with error of less than 0.5 ULP</div>
 </td>
 </tr>
 <tr class="altColor">
 <td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a></code></td>
 <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#toRadians()">toRadians</a></strong>()</code>
 <div class="block">Convert degrees to radians, with error of less than 0.5 ULP</div>
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 <code><a href="http://docs.oracle.com/javase/6/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/6/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/6/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/6/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/6/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/6/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/6/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/6/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/6/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</a></code></li>
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 <pre>public&nbsp;DerivativeStructure(int&nbsp;parameters,
                    int&nbsp;order)
                     throws <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></pre>
 <div class="block">Build an instance with all values and derivatives set to 0.</div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>parameters</code> - number of free parameters</dd><dd><code>order</code> - derivation order</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if order is too large</dd></dl>
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 <pre>public&nbsp;DerivativeStructure(int&nbsp;parameters,
                    int&nbsp;order,
                    double&nbsp;value)
                     throws <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></pre>
 <div class="block">Build an instance representing a constant value.</div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>parameters</code> - number of free parameters</dd><dd><code>order</code> - derivation order</dd><dd><code>value</code> - value of the constant</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if order is too large</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#DerivativeStructure(int, int, int, double)"><code>DerivativeStructure(int, int, int, double)</code></a></dd></dl>
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 <pre>public&nbsp;DerivativeStructure(int&nbsp;parameters,
                    int&nbsp;order,
                    int&nbsp;index,
                    double&nbsp;value)
                     throws <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></pre>
 <div class="block">Build an instance representing a variable.
  <p>Instances built using this constructor are considered
  to be the free variables with respect to which differentials
  are computed. As such, their differential with respect to
  themselves is +1.</p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>parameters</code> - number of free parameters</dd><dd><code>order</code> - derivation order</dd><dd><code>index</code> - index of the variable (from 0 to <code>parameters - 1</code>)</dd><dd><code>value</code> - value of the variable</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if <code>index &gt;= parameters</code>.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#DerivativeStructure(int, int, double)"><code>DerivativeStructure(int, int, double)</code></a></dd></dl>
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 <pre>public&nbsp;DerivativeStructure(double&nbsp;a1,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds1,
                    double&nbsp;a2,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds2)
                     throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Linear combination constructor.
  The derivative structure built will be a1 * ds1 + a2 * ds2</div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - first scale factor</dd><dd><code>ds1</code> - first base (unscaled) derivative structure</dd><dd><code>a2</code> - second scale factor</dd><dd><code>ds2</code> - second base (unscaled) derivative structure</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters or orders are inconsistent</dd></dl>
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 <pre>public&nbsp;DerivativeStructure(double&nbsp;a1,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds1,
                    double&nbsp;a2,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds2,
                    double&nbsp;a3,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds3)
                     throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Linear combination constructor.
  The derivative structure built will be a1 * ds1 + a2 * ds2 + a3 * ds3</div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - first scale factor</dd><dd><code>ds1</code> - first base (unscaled) derivative structure</dd><dd><code>a2</code> - second scale factor</dd><dd><code>ds2</code> - second base (unscaled) derivative structure</dd><dd><code>a3</code> - third scale factor</dd><dd><code>ds3</code> - third base (unscaled) derivative structure</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters or orders are inconsistent</dd></dl>
 </li>
 </ul>
 <a name="DerivativeStructure(double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">
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 <pre>public&nbsp;DerivativeStructure(double&nbsp;a1,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds1,
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                    double&nbsp;a3,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds3,
                    double&nbsp;a4,
                    <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ds4)
                     throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Linear combination constructor.
  The derivative structure built will be a1 * ds1 + a2 * ds2 + a3 * ds3 + a4 * ds4</div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - first scale factor</dd><dd><code>ds1</code> - first base (unscaled) derivative structure</dd><dd><code>a2</code> - second scale factor</dd><dd><code>ds2</code> - second base (unscaled) derivative structure</dd><dd><code>a3</code> - third scale factor</dd><dd><code>ds3</code> - third base (unscaled) derivative structure</dd><dd><code>a4</code> - fourth scale factor</dd><dd><code>ds4</code> - fourth base (unscaled) derivative structure</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters or orders are inconsistent</dd></dl>
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 <pre>public&nbsp;DerivativeStructure(int&nbsp;parameters,
                    int&nbsp;order,
                    double...&nbsp;derivatives)
                     throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></pre>
 <div class="block">Build an instance from all its derivatives.</div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>parameters</code> - number of free parameters</dd><dd><code>order</code> - derivation order</dd><dd><code>derivatives</code> - derivatives sorted according to
  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DSCompiler.html#getPartialDerivativeIndex(int...)"><code>DSCompiler.getPartialDerivativeIndex(int...)</code></a></dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if derivatives array does not match the
  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DSCompiler.html#getSize()"><code>size</code></a> expected by the compiler</dd>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if order is too large</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#getAllDerivatives()"><code>getAllDerivatives()</code></a></dd></dl>
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 <pre>public&nbsp;int&nbsp;getFreeParameters()</pre>
 <div class="block">Get the number of free parameters.</div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>number of free parameters</dd></dl>
 </li>
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 <pre>public&nbsp;int&nbsp;getOrder()</pre>
 <div class="block">Get the derivation order.</div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>derivation order</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;createConstant(double&nbsp;c)</pre>
 <div class="block">Create a constant compatible with instance order and number of parameters.
  <p>
  This method is a convenience factory method, it simply calls
  <code>new DerivativeStructure(getFreeParameters(), getOrder(), c)</code>
  </p></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>c</code> - value of the constant</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a constant compatible with instance order and number of parameters</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.3</dd>
 <dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#DerivativeStructure(int, int, double)"><code>DerivativeStructure(int, int, double)</code></a></dd></dl>
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 <pre>public&nbsp;double&nbsp;getReal()</pre>
 <div class="block">Get the real value of the number.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#getReal()">getReal</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>real value</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <pre>public&nbsp;double&nbsp;getValue()</pre>
 <div class="block">Get the value part of the derivative structure.</div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>value part of the derivative structure</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#getPartialDerivative(int...)"><code>getPartialDerivative(int...)</code></a></dd></dl>
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 <pre>public&nbsp;double&nbsp;getPartialDerivative(int...&nbsp;orders)
                             throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                    <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></pre>
 <div class="block">Get a partial derivative.</div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>orders</code> - derivation orders with respect to each variable (if all orders are 0,
  the value is returned)</dd>
 <dt><span class="strong">Returns:</span></dt><dd>partial derivative</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if the numbers of variables does not
  match the instance</dd>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if sum of derivation orders is larger
  than the instance limits</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#getValue()"><code>getValue()</code></a></dd></dl>
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 <pre>public&nbsp;double[]&nbsp;getAllDerivatives()</pre>
 <div class="block">Get all partial derivatives.</div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>a fresh copy of partial derivatives, in an array sorted according to
  <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DSCompiler.html#getPartialDerivativeIndex(int...)"><code>DSCompiler.getPartialDerivativeIndex(int...)</code></a></dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;add(double&nbsp;a)</pre>
 <div class="block">'+' operator.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#add(double)">add</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - right hand side parameter of the operator</dd>
 <dt><span class="strong">Returns:</span></dt><dd>this+a</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;add(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a)
                         throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Compute this + a.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/FieldElement.html#add(T)">add</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - element to add</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a new element representing this + a</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;subtract(double&nbsp;a)</pre>
 <div class="block">'-' operator.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#subtract(double)">subtract</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - right hand side parameter of the operator</dd>
 <dt><span class="strong">Returns:</span></dt><dd>this-a</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;subtract(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a)
                              throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Compute this - a.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/FieldElement.html#subtract(T)">subtract</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - element to subtract</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a new element representing this - a</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;multiply(int&nbsp;n)</pre>
 <div class="block">Compute n &times; this. Multiplication by an integer number is defined
  as the following sum
  <center>
  n &times; this = &sum;<sub>i=1</sub><sup>n</sup> this.
  </center></div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/FieldElement.html#multiply(int)">multiply</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>n</code> - Number of times <code>this</code> must be added to itself.</dd>
 <dt><span class="strong">Returns:</span></dt><dd>A new element representing n &times; this.</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;multiply(double&nbsp;a)</pre>
 <div class="block">'&times;' operator.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#multiply(double)">multiply</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - right hand side parameter of the operator</dd>
 <dt><span class="strong">Returns:</span></dt><dd>this&times;a</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;multiply(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a)
                              throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Compute this &times; a.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/FieldElement.html#multiply(T)">multiply</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - element to multiply</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a new element representing this &times; a</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;divide(double&nbsp;a)</pre>
 <div class="block">'&divide;' operator.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#divide(double)">divide</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - right hand side parameter of the operator</dd>
 <dt><span class="strong">Returns:</span></dt><dd>this&divides;a</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
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 <a name="divide(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;divide(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a)
                            throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Compute this &divide; a.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/FieldElement.html#divide(T)">divide</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - element to add</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a new element representing this &divide; a</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;remainder(double&nbsp;a)</pre>
 <div class="block">IEEE remainder operator.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#remainder(double)">remainder</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - right hand side parameter of the operator</dd>
 <dt><span class="strong">Returns:</span></dt><dd>this - n &times; a where n is the closest integer to this/a
  (the even integer is chosen for n if this/a is halfway between two integers)</dd></dl>
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 <a name="remainder(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;remainder(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a)
                               throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">IEEE remainder operator.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#remainder(T)">remainder</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - right hand side parameter of the operator</dd>
 <dt><span class="strong">Returns:</span></dt><dd>this - n &times; a where n is the closest integer to this/a
  (the even integer is chosen for n if this/a is halfway between two integers)</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;negate()</pre>
 <div class="block">Returns the additive inverse of <code>this</code> element.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/FieldElement.html#negate()">negate</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>the opposite of <code>this</code>.</dd></dl>
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 <a name="abs()">
 <!--   -->
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 <ul class="blockList">
 <li class="blockList">
 <h4>abs</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;abs()</pre>
 <div class="block">absolute value.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#abs()">abs</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>abs(this)</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;ceil()</pre>
 <div class="block">Get the smallest whole number larger than instance.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#ceil()">ceil</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>ceil(this)</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;floor()</pre>
 <div class="block">Get the largest whole number smaller than instance.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#floor()">floor</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>floor(this)</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <h4>rint</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;rint()</pre>
 <div class="block">Get the whole number that is the nearest to the instance, or the even one if x is exactly half way between two integers.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#rint()">rint</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>a double number r such that r is an integer r - 0.5 <= this <= r + 0.5</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
 <a name="round()">
 <!--   -->
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 <pre>public&nbsp;long&nbsp;round()</pre>
 <div class="block">Get the closest long to instance value.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#round()">round</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>closest long to <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#getReal()"><code>RealFieldElement.getReal()</code></a></dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;signum()</pre>
 <div class="block">Compute the signum of the instance.
  The signum is -1 for negative numbers, +1 for positive numbers and 0 otherwise</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#signum()">signum</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>-1.0, -0.0, +0.0, +1.0 or NaN depending on sign of a</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;copySign(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;sign)</pre>
 <div class="block">Returns the instance with the sign of the argument.
  A NaN <code>sign</code> argument is treated as positive.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#copySign(T)">copySign</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>sign</code> - the sign for the returned value</dd>
 <dt><span class="strong">Returns:</span></dt><dd>the instance with the same sign as the <code>sign</code> argument</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;copySign(double&nbsp;sign)</pre>
 <div class="block">Returns the instance with the sign of the argument.
  A NaN <code>sign</code> argument is treated as positive.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#copySign(double)">copySign</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>sign</code> - the sign for the returned value</dd>
 <dt><span class="strong">Returns:</span></dt><dd>the instance with the same sign as the <code>sign</code> argument</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <pre>public&nbsp;int&nbsp;getExponent()</pre>
 <div class="block">Return the exponent of the instance value, removing the bias.
  <p>
  For double numbers of the form 2<sup>x</sup>, the unbiased
  exponent is exactly x.
  </p></div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>exponent for instance in IEEE754 representation, without bias</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;scalb(int&nbsp;n)</pre>
 <div class="block">Multiply the instance by a power of 2.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#scalb(int)">scalb</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>n</code> - power of 2</dd>
 <dt><span class="strong">Returns:</span></dt><dd>this &times; 2<sup>n</sup></dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;hypot(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;y)
                           throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Returns the hypotenuse of a triangle with sides <code>this</code> and <code>y</code>
  - sqrt(<i>this</i><sup>2</sup>&nbsp;+<i>y</i><sup>2</sup>)<br/>
  avoiding intermediate overflow or underflow.

  <ul>
  <li> If either argument is infinite, then the result is positive infinity.</li>
  <li> else, if either argument is NaN then the result is NaN.</li>
  </ul></div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#hypot(T)">hypot</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>y</code> - a value</dd>
 <dt><span class="strong">Returns:</span></dt><dd>sqrt(<i>this</i><sup>2</sup>&nbsp;+<i>y</i><sup>2</sup>)</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
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 <pre>public static&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;hypot(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;x,
                         <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;y)
                                  throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Returns the hypotenuse of a triangle with sides <code>x</code> and <code>y</code>
  - sqrt(<i>x</i><sup>2</sup>&nbsp;+<i>y</i><sup>2</sup>)<br/>
  avoiding intermediate overflow or underflow.

  <ul>
  <li> If either argument is infinite, then the result is positive infinity.</li>
  <li> else, if either argument is NaN then the result is NaN.</li>
  </ul></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - a value</dd><dd><code>y</code> - a value</dd>
 <dt><span class="strong">Returns:</span></dt><dd>sqrt(<i>x</i><sup>2</sup>&nbsp;+<i>y</i><sup>2</sup>)</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;compose(double...&nbsp;f)
                             throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Compute composition of the instance by a univariate function.</div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>f</code> - array of value and derivatives of the function at
  the current point (i.e. [f(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#getValue()"><code>getValue()</code></a>),
  f'(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#getValue()"><code>getValue()</code></a>), f''(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#getValue()"><code>getValue()</code></a>)...]).</dd>
 <dt><span class="strong">Returns:</span></dt><dd>f(this)</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if the number of derivatives
  in the array is not equal to <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html#getOrder()"><code>order</code></a> + 1</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;reciprocal()</pre>
 <div class="block">Returns the multiplicative inverse of <code>this</code> element.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/FieldElement.html#reciprocal()">reciprocal</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#reciprocal()">reciprocal</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>the inverse of <code>this</code>.</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;sqrt()</pre>
 <div class="block">Square root.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#sqrt()">sqrt</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>square root of the instance</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;cbrt()</pre>
 <div class="block">Cubic root.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#cbrt()">cbrt</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>cubic root of the instance</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
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 <a name="rootN(int)">
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 <h4>rootN</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;rootN(int&nbsp;n)</pre>
 <div class="block">N<sup>th</sup> root.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#rootN(int)">rootN</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>n</code> - order of the root</dd>
 <dt><span class="strong">Returns:</span></dt><dd>n<sup>th</sup> root of the instance</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <h4>getField</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3">Field</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;&nbsp;getField()</pre>
 <div class="block">Get the <a href="../../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3"><code>Field</code></a> to which the instance belongs.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/FieldElement.html#getField()">getField</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/FieldElement.html" title="interface in org.apache.commons.math3">FieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3"><code>Field</code></a> to which the instance belongs</dd></dl>
 </li>
 </ul>
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 <pre>public static&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;pow(double&nbsp;a,
                       <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;x)</pre>
 <div class="block">Compute a<sup>x</sup> where a is a double and x a <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation"><code>DerivativeStructure</code></a></div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - number to exponentiate</dd><dd><code>x</code> - power to apply</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a<sup>x</sup></dd><dt><span class="strong">Since:</span></dt>
   <dd>3.3</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;pow(double&nbsp;p)</pre>
 <div class="block">Power operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#pow(double)">pow</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>p</code> - power to apply</dd>
 <dt><span class="strong">Returns:</span></dt><dd>this<sup>p</sup></dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;pow(int&nbsp;n)</pre>
 <div class="block">Integer power operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#pow(int)">pow</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>n</code> - power to apply</dd>
 <dt><span class="strong">Returns:</span></dt><dd>this<sup>n</sup></dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;pow(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;e)
                         throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Power operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#pow(T)">pow</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>e</code> - exponent</dd>
 <dt><span class="strong">Returns:</span></dt><dd>this<sup>e</sup></dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;exp()</pre>
 <div class="block">Exponential.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#exp()">exp</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>exponential of the instance</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;expm1()</pre>
 <div class="block">Exponential minus 1.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#expm1()">expm1</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>exponential minus one of the instance</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <h4>log</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;log()</pre>
 <div class="block">Natural logarithm.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#log()">log</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>logarithm of the instance</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
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 <a name="log1p()">
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;log1p()</pre>
 <div class="block">Shifted natural logarithm.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#log1p()">log1p</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>logarithm of one plus the instance</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;log10()</pre>
 <div class="block">Base 10 logarithm.</div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>base 10 logarithm of the instance</dd></dl>
 </li>
 </ul>
 <a name="cos()">
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;cos()</pre>
 <div class="block">Cosine operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#cos()">cos</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>cos(this)</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
 <a name="sin()">
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 <h4>sin</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;sin()</pre>
 <div class="block">Sine operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#sin()">sin</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>sin(this)</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
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 <a name="tan()">
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;tan()</pre>
 <div class="block">Tangent operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#tan()">tan</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>tan(this)</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
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 <a name="acos()">
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 <h4>acos</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;acos()</pre>
 <div class="block">Arc cosine operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#acos()">acos</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>acos(this)</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
 <a name="asin()">
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 <h4>asin</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;asin()</pre>
 <div class="block">Arc sine operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#asin()">asin</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>asin(this)</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
 <a name="atan()">
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 <h4>atan</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;atan()</pre>
 <div class="block">Arc tangent operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#atan()">atan</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>atan(this)</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
 <a name="atan2(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">
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 <h4>atan2</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;atan2(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;x)
                           throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Two arguments arc tangent operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#atan2(T)">atan2</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - second argument of the arc tangent</dd>
 <dt><span class="strong">Returns:</span></dt><dd>atan2(this, x)</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters or orders are inconsistent</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
 <a name="atan2(org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">
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 <h4>atan2</h4>
 <pre>public static&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;atan2(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;y,
                         <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;x)
                                  throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Two arguments arc tangent operation.</div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>y</code> - first argument of the arc tangent</dd><dd><code>x</code> - second argument of the arc tangent</dd>
 <dt><span class="strong">Returns:</span></dt><dd>atan2(y, x)</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
 <a name="cosh()">
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 </a>
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 <li class="blockList">
 <h4>cosh</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;cosh()</pre>
 <div class="block">Hyperbolic cosine operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#cosh()">cosh</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>cosh(this)</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
 <a name="sinh()">
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 <h4>sinh</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;sinh()</pre>
 <div class="block">Hyperbolic sine operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#sinh()">sinh</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>sinh(this)</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
 <a name="tanh()">
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 <h4>tanh</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;tanh()</pre>
 <div class="block">Hyperbolic tangent operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#tanh()">tanh</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>tanh(this)</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
 <a name="acosh()">
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 <h4>acosh</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;acosh()</pre>
 <div class="block">Inverse hyperbolic cosine operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#acosh()">acosh</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>acosh(this)</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
 <a name="asinh()">
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 <h4>asinh</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;asinh()</pre>
 <div class="block">Inverse hyperbolic sine operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#asinh()">asinh</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>asin(this)</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
 <a name="atanh()">
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 <h4>atanh</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;atanh()</pre>
 <div class="block">Inverse hyperbolic  tangent operation.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#atanh()">atanh</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Returns:</span></dt><dd>atanh(this)</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
 <a name="toDegrees()">
 <!--   -->
 </a>
 <ul class="blockList">
 <li class="blockList">
 <h4>toDegrees</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;toDegrees()</pre>
 <div class="block">Convert radians to degrees, with error of less than 0.5 ULP</div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>instance converted into degrees</dd></dl>
 </li>
 </ul>
 <a name="toRadians()">
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 <h4>toRadians</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;toRadians()</pre>
 <div class="block">Convert degrees to radians, with error of less than 0.5 ULP</div>
 <dl><dt><span class="strong">Returns:</span></dt><dd>instance converted into radians</dd></dl>
 </li>
 </ul>
 <a name="taylor(double...)">
 <!--   -->
 </a>
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 <li class="blockList">
 <h4>taylor</h4>
 <pre>public&nbsp;double&nbsp;taylor(double...&nbsp;delta)
               throws <a href="../../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></pre>
 <div class="block">Evaluate Taylor expansion a derivative structure.</div>
 <dl><dt><span class="strong">Parameters:</span></dt><dd><code>delta</code> - parameters offsets (&Delta;x, &Delta;y, ...)</dd>
 <dt><span class="strong">Returns:</span></dt><dd>value of the Taylor expansion at x + &Delta;x, y + &Delta;y, ...</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 factorials becomes too large</dd></dl>
 </li>
 </ul>
 <a name="linearCombination(org.apache.commons.math3.analysis.differentiation.DerivativeStructure[], org.apache.commons.math3.analysis.differentiation.DerivativeStructure[])">
 <!--   -->
 </a>
 <ul class="blockList">
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 <h4>linearCombination</h4>
 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;linearCombination(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>[]&nbsp;a,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>[]&nbsp;b)
                                       throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Compute a linear combination.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(T[], T[])">linearCombination</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - Factors.</dd><dd><code>b</code> - Factors.</dd>
 <dt><span class="strong">Returns:</span></dt><dd><code>&Sigma;<sub>i</sub> a<sub>i</sub> b<sub>i</sub></code>.</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
 <a name="linearCombination(double[], org.apache.commons.math3.analysis.differentiation.DerivativeStructure[])">
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;linearCombination(double[]&nbsp;a,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>[]&nbsp;b)
                                       throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Compute a linear combination.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(double[], T[])">linearCombination</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a</code> - Factors.</dd><dd><code>b</code> - Factors.</dd>
 <dt><span class="strong">Returns:</span></dt><dd><code>&Sigma;<sub>i</sub> a<sub>i</sub> b<sub>i</sub></code>.</dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
 </li>
 </ul>
 <a name="linearCombination(org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;linearCombination(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a1,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b1,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a2,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b2)
                                       throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Compute a linear combination.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(T, T, T, T)">linearCombination</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - first factor of the first term</dd><dd><code>b1</code> - second factor of the first term</dd><dd><code>a2</code> - first factor of the second term</dd><dd><code>b2</code> - second factor of the second term</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a<sub>1</sub>&times;b<sub>1</sub> +
  a<sub>2</sub>&times;b<sub>2</sub></dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd>
 <dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(T, T, T, T, T, T)"><code>RealFieldElement.linearCombination(Object, Object, Object, Object, Object, Object)</code></a>,
 <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(T, T, T, T, T, T, T, T)"><code>RealFieldElement.linearCombination(Object, Object, Object, Object, Object, Object, Object, Object)</code></a></dd></dl>
 </li>
 </ul>
 <a name="linearCombination(double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;linearCombination(double&nbsp;a1,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b1,
                                     double&nbsp;a2,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b2)
                                       throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Compute a linear combination.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(double, T, double, T)">linearCombination</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - first factor of the first term</dd><dd><code>b1</code> - second factor of the first term</dd><dd><code>a2</code> - first factor of the second term</dd><dd><code>b2</code> - second factor of the second term</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a<sub>1</sub>&times;b<sub>1</sub> +
  a<sub>2</sub>&times;b<sub>2</sub></dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd>
 <dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(double, T, double, T, double, T)"><code>RealFieldElement.linearCombination(double, Object, double, Object, double, Object)</code></a>,
 <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(double, T, double, T, double, T, double, T)"><code>RealFieldElement.linearCombination(double, Object, double, Object, double, Object, double, Object)</code></a></dd></dl>
 </li>
 </ul>
 <a name="linearCombination(org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;linearCombination(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a1,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b1,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a2,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b2,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a3,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b3)
                                       throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Compute a linear combination.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(T, T, T, T, T, T)">linearCombination</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - first factor of the first term</dd><dd><code>b1</code> - second factor of the first term</dd><dd><code>a2</code> - first factor of the second term</dd><dd><code>b2</code> - second factor of the second term</dd><dd><code>a3</code> - first factor of the third term</dd><dd><code>b3</code> - second factor of the third term</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a<sub>1</sub>&times;b<sub>1</sub> +
  a<sub>2</sub>&times;b<sub>2</sub> + a<sub>3</sub>&times;b<sub>3</sub></dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd>
 <dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(T, T, T, T)"><code>RealFieldElement.linearCombination(Object, Object, Object, Object)</code></a>,
 <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(T, T, T, T, T, T, T, T)"><code>RealFieldElement.linearCombination(Object, Object, Object, Object, Object, Object, Object, Object)</code></a></dd></dl>
 </li>
 </ul>
 <a name="linearCombination(double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;linearCombination(double&nbsp;a1,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b1,
                                     double&nbsp;a2,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b2,
                                     double&nbsp;a3,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b3)
                                       throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Compute a linear combination.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(double, T, double, T, double, T)">linearCombination</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - first factor of the first term</dd><dd><code>b1</code> - second factor of the first term</dd><dd><code>a2</code> - first factor of the second term</dd><dd><code>b2</code> - second factor of the second term</dd><dd><code>a3</code> - first factor of the third term</dd><dd><code>b3</code> - second factor of the third term</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a<sub>1</sub>&times;b<sub>1</sub> +
  a<sub>2</sub>&times;b<sub>2</sub> + a<sub>3</sub>&times;b<sub>3</sub></dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd>
 <dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(double, T, double, T)"><code>RealFieldElement.linearCombination(double, Object, double, Object)</code></a>,
 <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(double, T, double, T, double, T, double, T)"><code>RealFieldElement.linearCombination(double, Object, double, Object, double, Object, double, Object)</code></a></dd></dl>
 </li>
 </ul>
 <a name="linearCombination(org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;linearCombination(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a1,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b1,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a2,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b2,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a3,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b3,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;a4,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b4)
                                       throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Compute a linear combination.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(T, T, T, T, T, T, T, T)">linearCombination</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - first factor of the first term</dd><dd><code>b1</code> - second factor of the first term</dd><dd><code>a2</code> - first factor of the second term</dd><dd><code>b2</code> - second factor of the second term</dd><dd><code>a3</code> - first factor of the third term</dd><dd><code>b3</code> - second factor of the third term</dd><dd><code>a4</code> - first factor of the third term</dd><dd><code>b4</code> - second factor of the third term</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a<sub>1</sub>&times;b<sub>1</sub> +
  a<sub>2</sub>&times;b<sub>2</sub> + a<sub>3</sub>&times;b<sub>3</sub> +
  a<sub>4</sub>&times;b<sub>4</sub></dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd>
 <dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(T, T, T, T)"><code>RealFieldElement.linearCombination(Object, Object, Object, Object)</code></a>,
 <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(T, T, T, T, T, T)"><code>RealFieldElement.linearCombination(Object, Object, Object, Object, Object, Object)</code></a></dd></dl>
 </li>
 </ul>
 <a name="linearCombination(double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure, double, org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">
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 <pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;linearCombination(double&nbsp;a1,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b1,
                                     double&nbsp;a2,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b2,
                                     double&nbsp;a3,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b3,
                                     double&nbsp;a4,
                                     <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;b4)
                                       throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
 <div class="block">Compute a linear combination.</div>
 <dl>
 <dt><strong>Specified by:</strong></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(double, T, double, T, double, T, double, T)">linearCombination</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&gt;</code></dd>
 <dt><span class="strong">Parameters:</span></dt><dd><code>a1</code> - first factor of the first term</dd><dd><code>b1</code> - second factor of the first term</dd><dd><code>a2</code> - first factor of the second term</dd><dd><code>b2</code> - second factor of the second term</dd><dd><code>a3</code> - first factor of the third term</dd><dd><code>b3</code> - second factor of the third term</dd><dd><code>a4</code> - first factor of the third term</dd><dd><code>b4</code> - second factor of the third term</dd>
 <dt><span class="strong">Returns:</span></dt><dd>a<sub>1</sub>&times;b<sub>1</sub> +
  a<sub>2</sub>&times;b<sub>2</sub> + a<sub>3</sub>&times;b<sub>3</sub> +
  a<sub>4</sub>&times;b<sub>4</sub></dd>
 <dt><span class="strong">Throws:</span></dt>
 <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if number of free parameters
  or orders do not match</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd>
 <dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(double, T, double, T)"><code>RealFieldElement.linearCombination(double, Object, double, Object)</code></a>,
 <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html#linearCombination(double, T, double, T, double, T)"><code>RealFieldElement.linearCombination(double, Object, double, Object, double, Object)</code></a></dd></dl>
 </li>
 </ul>
 <a name="equals(java.lang.Object)">
 <!--   -->
 </a>
 <ul class="blockList">
 <li class="blockList">
 <h4>equals</h4>
 <pre>public&nbsp;boolean&nbsp;equals(<a href="http://docs.oracle.com/javase/6/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 derivative structures.
  <p>
  Derivative structures are considered equal if they have the same number
  of free parameters, the same derivation order, and the same derivatives.
  </p></div>
 <dl>
 <dt><strong>Overrides:</strong></dt>
 <dd><code><a href="http://docs.oracle.com/javase/6/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/6/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 derivative structures are equal</dd><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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 <h4>hashCode</h4>
 <pre>public&nbsp;int&nbsp;hashCode()</pre>
 <div class="block">Get a hashCode for the derivative structure.</div>
 <dl>
 <dt><strong>Overrides:</strong></dt>
 <dd><code><a href="http://docs.oracle.com/javase/6/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/6/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><dt><span class="strong">Since:</span></dt>
   <dd>3.2</dd></dl>
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