| <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> |
| <!-- NewPage --> |
| <html lang="en"> |
| <head> |
| <meta http-equiv="Content-Type" content="text/html" charset="UTF-8"> |
| <title>org.apache.commons.math3.optimization (Apache Commons Math 3.3 API)</title> |
| <link rel="stylesheet" type="text/css" href="../../../../../stylesheet.css" title="Style"> |
| </head> |
| <body> |
| <script type="text/javascript"><!-- |
| if (location.href.indexOf('is-external=true') == -1) { |
| parent.document.title="org.apache.commons.math3.optimization (Apache Commons Math 3.3 API)"; |
| } |
| //--> |
| </script> |
| <noscript> |
| <div>JavaScript is disabled on your browser.</div> |
| </noscript> |
| <!-- ========= START OF TOP NAVBAR ======= --> |
| <div class="topNav"><a name="navbar_top"> |
| <!-- --> |
| </a><a href="#skip-navbar_top" title="Skip navigation links"></a><a name="navbar_top_firstrow"> |
| <!-- --> |
| </a> |
| <ul class="navList" title="Navigation"> |
| <li><a href="../../../../../overview-summary.html">Overview</a></li> |
| <li class="navBarCell1Rev">Package</li> |
| <li>Class</li> |
| <li><a href="package-use.html">Use</a></li> |
| <li><a href="package-tree.html">Tree</a></li> |
| <li><a href="../../../../../deprecated-list.html">Deprecated</a></li> |
| <li><a href="../../../../../index-all.html">Index</a></li> |
| <li><a href="../../../../../help-doc.html">Help</a></li> |
| </ul> |
| <div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div> |
| </div> |
| <div class="subNav"> |
| <ul class="navList"> |
| <li><a href="../../../../../org/apache/commons/math3/optim/univariate/package-summary.html">Prev Package</a></li> |
| <li><a href="../../../../../org/apache/commons/math3/optimization/direct/package-summary.html">Next Package</a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../index.html?org/apache/commons/math3/optimization/package-summary.html" target="_top">Frames</a></li> |
| <li><a href="package-summary.html" target="_top">No Frames</a></li> |
| </ul> |
| <ul class="navList" id="allclasses_navbar_top"> |
| <li><a href="../../../../../allclasses-noframe.html">All Classes</a></li> |
| </ul> |
| <div> |
| <script type="text/javascript"><!-- |
| allClassesLink = document.getElementById("allclasses_navbar_top"); |
| if(window==top) { |
| allClassesLink.style.display = "block"; |
| } |
| else { |
| allClassesLink.style.display = "none"; |
| } |
| //--> |
| </script> |
| </div> |
| <a name="skip-navbar_top"> |
| <!-- --> |
| </a></div> |
| <!-- ========= END OF TOP NAVBAR ========= --> |
| <div class="header"> |
| <h1 title="Package" class="title">Package org.apache.commons.math3.optimization</h1> |
| <div class="docSummary"> |
| <div class="block">All classes and sub-packages of this package are deprecated.</div> |
| </div> |
| <p>See: <a href="#package_description">Description</a></p> |
| </div> |
| <div class="contentContainer"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <table class="packageSummary" border="0" cellpadding="3" cellspacing="0" summary="Interface Summary table, listing interfaces, and an explanation"> |
| <caption><span>Interface Summary</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colFirst" scope="col">Interface</th> |
| <th class="colLast" scope="col">Description</th> |
| </tr> |
| <tbody> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/BaseMultivariateOptimizer.html" title="interface in org.apache.commons.math3.optimization">BaseMultivariateOptimizer</a><FUNC extends <a href="../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateFunction</a>></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/BaseMultivariateSimpleBoundsOptimizer.html" title="interface in org.apache.commons.math3.optimization">BaseMultivariateSimpleBoundsOptimizer</a><FUNC extends <a href="../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateFunction</a>></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/BaseMultivariateVectorOptimizer.html" title="interface in org.apache.commons.math3.optimization">BaseMultivariateVectorOptimizer</a><FUNC extends <a href="../../../../../org/apache/commons/math3/analysis/MultivariateVectorFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateVectorFunction</a>></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/BaseOptimizer.html" title="interface in org.apache.commons.math3.optimization">BaseOptimizer</a><PAIR></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/ConvergenceChecker.html" title="interface in org.apache.commons.math3.optimization">ConvergenceChecker</a><PAIR></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/DifferentiableMultivariateOptimizer.html" title="interface in org.apache.commons.math3.optimization">DifferentiableMultivariateOptimizer</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/DifferentiableMultivariateVectorOptimizer.html" title="interface in org.apache.commons.math3.optimization">DifferentiableMultivariateVectorOptimizer</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/MultivariateDifferentiableOptimizer.html" title="interface in org.apache.commons.math3.optimization">MultivariateDifferentiableOptimizer</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/MultivariateDifferentiableVectorOptimizer.html" title="interface in org.apache.commons.math3.optimization">MultivariateDifferentiableVectorOptimizer</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/MultivariateOptimizer.html" title="interface in org.apache.commons.math3.optimization">MultivariateOptimizer</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/OptimizationData.html" title="interface in org.apache.commons.math3.optimization">OptimizationData</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| </tbody> |
| </table> |
| </li> |
| <li class="blockList"> |
| <table class="packageSummary" border="0" cellpadding="3" cellspacing="0" summary="Class Summary table, listing classes, and an explanation"> |
| <caption><span>Class Summary</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colFirst" scope="col">Class</th> |
| <th class="colLast" scope="col">Description</th> |
| </tr> |
| <tbody> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/AbstractConvergenceChecker.html" title="class in org.apache.commons.math3.optimization">AbstractConvergenceChecker</a><PAIR></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/BaseMultivariateMultiStartOptimizer.html" title="class in org.apache.commons.math3.optimization">BaseMultivariateMultiStartOptimizer</a><FUNC extends <a href="../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateFunction</a>></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/BaseMultivariateVectorMultiStartOptimizer.html" title="class in org.apache.commons.math3.optimization">BaseMultivariateVectorMultiStartOptimizer</a><FUNC extends <a href="../../../../../org/apache/commons/math3/analysis/MultivariateVectorFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateVectorFunction</a>></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/DifferentiableMultivariateMultiStartOptimizer.html" title="class in org.apache.commons.math3.optimization">DifferentiableMultivariateMultiStartOptimizer</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/DifferentiableMultivariateVectorMultiStartOptimizer.html" title="class in org.apache.commons.math3.optimization">DifferentiableMultivariateVectorMultiStartOptimizer</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/InitialGuess.html" title="class in org.apache.commons.math3.optimization">InitialGuess</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/LeastSquaresConverter.html" title="class in org.apache.commons.math3.optimization">LeastSquaresConverter</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/MultivariateDifferentiableMultiStartOptimizer.html" title="class in org.apache.commons.math3.optimization">MultivariateDifferentiableMultiStartOptimizer</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/MultivariateDifferentiableVectorMultiStartOptimizer.html" title="class in org.apache.commons.math3.optimization">MultivariateDifferentiableVectorMultiStartOptimizer</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/MultivariateMultiStartOptimizer.html" title="class in org.apache.commons.math3.optimization">MultivariateMultiStartOptimizer</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/PointValuePair.html" title="class in org.apache.commons.math3.optimization">PointValuePair</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/PointVectorValuePair.html" title="class in org.apache.commons.math3.optimization">PointVectorValuePair</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/SimpleBounds.html" title="class in org.apache.commons.math3.optimization">SimpleBounds</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/SimplePointChecker.html" title="class in org.apache.commons.math3.optimization">SimplePointChecker</a><PAIR extends <a href="../../../../../org/apache/commons/math3/util/Pair.html" title="class in org.apache.commons.math3.util">Pair</a><double[],? 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>>></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/SimpleValueChecker.html" title="class in org.apache.commons.math3.optimization">SimpleValueChecker</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/SimpleVectorValueChecker.html" title="class in org.apache.commons.math3.optimization">SimpleVectorValueChecker</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/Target.html" title="class in org.apache.commons.math3.optimization">Target</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/Weight.html" title="class in org.apache.commons.math3.optimization">Weight</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| </tbody> |
| </table> |
| </li> |
| <li class="blockList"> |
| <table class="packageSummary" border="0" cellpadding="3" cellspacing="0" summary="Enum Summary table, listing enums, and an explanation"> |
| <caption><span>Enum Summary</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colFirst" scope="col">Enum</th> |
| <th class="colLast" scope="col">Description</th> |
| </tr> |
| <tbody> |
| <tr class="altColor"> |
| <td class="colFirst"><a href="../../../../../org/apache/commons/math3/optimization/GoalType.html" title="enum in org.apache.commons.math3.optimization">GoalType</a></td> |
| <td class="colLast">Deprecated |
| <div class="block"><i>As of 3.1 (to be removed in 4.0).</i></div> |
| </td> |
| </tr> |
| </tbody> |
| </table> |
| </li> |
| </ul> |
| <a name="package_description"> |
| <!-- --> |
| </a> |
| <h2 title="Package org.apache.commons.math3.optimization Description">Package org.apache.commons.math3.optimization Description</h2> |
| <div class="block"><h2>All classes and sub-packages of this package are deprecated.</h2> |
| <h3>Please use their replacements, to be found under |
| <ul> |
| <li><a href="../../../../../org/apache/commons/math3/optim/package-summary.html"><code>org.apache.commons.math3.optim</code></a></li> |
| <li><a href="../../../../../org/apache/commons/math3/fitting/package-summary.html"><code>org.apache.commons.math3.fitting</code></a></li> |
| </ul> |
| </h3> |
| |
| <p> |
| This package provides common interfaces for the optimization algorithms |
| provided in sub-packages. The main interfaces defines optimizers and convergence |
| checkers. The functions that are optimized by the algorithms provided by this |
| package and its sub-packages are a subset of the one defined in the <code>analysis</code> |
| package, namely the real and vector valued functions. These functions are called |
| objective function here. When the goal is to minimize, the functions are often called |
| cost function, this name is not used in this package. |
| </p> |
| |
| <p> |
| Optimizers are the algorithms that will either minimize or maximize, the objective function |
| by changing its input variables set until an optimal set is found. There are only four |
| interfaces defining the common behavior of optimizers, one for each supported type of objective |
| function: |
| <ul> |
| <li><a href="../../../../../org/apache/commons/math3/optimization/univariate/UnivariateOptimizer.html" title="interface in org.apache.commons.math3.optimization.univariate"><code>UnivariateOptimizer</code></a> for <a href="../../../../../org/apache/commons/math3/analysis/UnivariateFunction.html" title="interface in org.apache.commons.math3.analysis"><code>univariate real functions</code></a></li> |
| <li><a href="../../../../../org/apache/commons/math3/optimization/MultivariateOptimizer.html" title="interface in org.apache.commons.math3.optimization"><code>MultivariateOptimizer</code></a> for <a href="../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis"><code>multivariate real functions</code></a></li> |
| <li><a href="../../../../../org/apache/commons/math3/optimization/MultivariateDifferentiableOptimizer.html" title="interface in org.apache.commons.math3.optimization"><code>MultivariateDifferentiableOptimizer</code></a> for <a href="../../../../../org/apache/commons/math3/analysis/differentiation/MultivariateDifferentiableFunction.html" title="interface in org.apache.commons.math3.analysis.differentiation"><code>multivariate differentiable real functions</code></a></li> |
| <li><a href="../../../../../org/apache/commons/math3/optimization/MultivariateDifferentiableVectorOptimizer.html" title="interface in org.apache.commons.math3.optimization"><code>MultivariateDifferentiableVectorOptimizer</code></a> for <a href="../../../../../org/apache/commons/math3/analysis/differentiation/MultivariateDifferentiableVectorFunction.html" title="interface in org.apache.commons.math3.analysis.differentiation"><code>multivariate differentiable vectorial functions</code></a></li> |
| </ul> |
| </p> |
| |
| <p> |
| Despite there are only four types of supported optimizers, it is possible to optimize a |
| transform a <a href="../../../../../org/apache/commons/math3/analysis/MultivariateVectorFunction.html" title="interface in org.apache.commons.math3.analysis"><code>non-differentiable multivariate vectorial function</code></a> by converting it to a <a href="../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis"><code>non-differentiable multivariate |
| real function</code></a> thanks to the <a href="../../../../../org/apache/commons/math3/optimization/LeastSquaresConverter.html" title="class in org.apache.commons.math3.optimization"><code>LeastSquaresConverter</code></a> helper class. |
| The transformed function can be optimized using any implementation of the <a href="../../../../../org/apache/commons/math3/optimization/MultivariateOptimizer.html" title="interface in org.apache.commons.math3.optimization"><code>MultivariateOptimizer</code></a> interface. |
| </p> |
| |
| <p> |
| For each of the four types of supported optimizers, there is a special implementation which |
| wraps a classical optimizer in order to add it a multi-start feature. This feature call the |
| underlying optimizer several times in sequence with different starting points and returns |
| the best optimum found or all optima if desired. This is a classical way to prevent being |
| trapped into a local extremum when looking for a global one. |
| </p></div> |
| </div> |
| <!-- ======= START OF BOTTOM NAVBAR ====== --> |
| <div class="bottomNav"><a name="navbar_bottom"> |
| <!-- --> |
| </a><a href="#skip-navbar_bottom" title="Skip navigation links"></a><a name="navbar_bottom_firstrow"> |
| <!-- --> |
| </a> |
| <ul class="navList" title="Navigation"> |
| <li><a href="../../../../../overview-summary.html">Overview</a></li> |
| <li class="navBarCell1Rev">Package</li> |
| <li>Class</li> |
| <li><a href="package-use.html">Use</a></li> |
| <li><a href="package-tree.html">Tree</a></li> |
| <li><a href="../../../../../deprecated-list.html">Deprecated</a></li> |
| <li><a href="../../../../../index-all.html">Index</a></li> |
| <li><a href="../../../../../help-doc.html">Help</a></li> |
| </ul> |
| <div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div> |
| </div> |
| <div class="subNav"> |
| <ul class="navList"> |
| <li><a href="../../../../../org/apache/commons/math3/optim/univariate/package-summary.html">Prev Package</a></li> |
| <li><a href="../../../../../org/apache/commons/math3/optimization/direct/package-summary.html">Next Package</a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../index.html?org/apache/commons/math3/optimization/package-summary.html" target="_top">Frames</a></li> |
| <li><a href="package-summary.html" target="_top">No Frames</a></li> |
| </ul> |
| <ul class="navList" id="allclasses_navbar_bottom"> |
| <li><a href="../../../../../allclasses-noframe.html">All Classes</a></li> |
| </ul> |
| <div> |
| <script type="text/javascript"><!-- |
| allClassesLink = document.getElementById("allclasses_navbar_bottom"); |
| if(window==top) { |
| allClassesLink.style.display = "block"; |
| } |
| else { |
| allClassesLink.style.display = "none"; |
| } |
| //--> |
| </script> |
| </div> |
| <a name="skip-navbar_bottom"> |
| <!-- --> |
| </a></div> |
| <!-- ======== END OF BOTTOM NAVBAR ======= --> |
| <p class="legalCopy"><small>Copyright © 2003–2014 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</small></p> |
| </body> |
| </html> |