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<h1 class="title">Apache Commons Math 3.6.1 API</h1>
</div>
<div class="contentContainer">
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Packages table, listing packages, and an explanation">
<caption><span>Packages</span><span class="tabEnd"> </span></caption>
<tr>
<th class="colFirst" scope="col">Package</th>
<th class="colLast" scope="col">Description</th>
</tr>
<tbody>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/package-summary.html">org.apache.commons.math3</a></td>
<td class="colLast">
<div class="block">Common classes used throughout the commons-math library.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/analysis/package-summary.html">org.apache.commons.math3.analysis</a></td>
<td class="colLast">
<div class="block">
Parent package for common numerical analysis procedures, including root finding,
function interpolation and integration.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/analysis/differentiation/package-summary.html">org.apache.commons.math3.analysis.differentiation</a></td>
<td class="colLast">
<div class="block">
This package holds the main interfaces and basic building block classes
dealing with differentiation.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/analysis/function/package-summary.html">org.apache.commons.math3.analysis.function</a></td>
<td class="colLast">
<div class="block">
The <code>function</code> package contains function objects that wrap the
methods contained in <a href="http://docs.oracle.com/javase/8/docs/api/java/lang/Math.html?is-external=true" title="class or interface in java.lang"><code>Math</code></a>, as well as common
mathematical functions such as the gaussian and sinc functions.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/analysis/integration/package-summary.html">org.apache.commons.math3.analysis.integration</a></td>
<td class="colLast">
<div class="block">Numerical integration (quadrature) algorithms for univariate real functions.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/analysis/integration/gauss/package-summary.html">org.apache.commons.math3.analysis.integration.gauss</a></td>
<td class="colLast">
<div class="block">Gauss family of quadrature schemes.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/analysis/interpolation/package-summary.html">org.apache.commons.math3.analysis.interpolation</a></td>
<td class="colLast">
<div class="block">Univariate real functions interpolation algorithms.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/analysis/polynomials/package-summary.html">org.apache.commons.math3.analysis.polynomials</a></td>
<td class="colLast">
<div class="block">Univariate real polynomials implementations, seen as differentiable
univariate real functions.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/analysis/solvers/package-summary.html">org.apache.commons.math3.analysis.solvers</a></td>
<td class="colLast">
<div class="block">Root finding algorithms, for univariate real functions.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/complex/package-summary.html">org.apache.commons.math3.complex</a></td>
<td class="colLast">
<div class="block">Complex number type and implementations of complex transcendental
functions.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/dfp/package-summary.html">org.apache.commons.math3.dfp</a></td>
<td class="colLast">
<div class="block">Decimal floating point library for Java</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/distribution/package-summary.html">org.apache.commons.math3.distribution</a></td>
<td class="colLast">
<div class="block">Implementations of common discrete and continuous distributions.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/distribution/fitting/package-summary.html">org.apache.commons.math3.distribution.fitting</a></td>
<td class="colLast">
<div class="block">Fitting of parameters against distributions.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/exception/package-summary.html">org.apache.commons.math3.exception</a></td>
<td class="colLast">
<div class="block">Specialized exceptions for algorithms errors.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/exception/util/package-summary.html">org.apache.commons.math3.exception.util</a></td>
<td class="colLast">
<div class="block">Classes supporting exception localization.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/filter/package-summary.html">org.apache.commons.math3.filter</a></td>
<td class="colLast">
<div class="block">Implementations of common discrete-time linear filters.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/fitting/package-summary.html">org.apache.commons.math3.fitting</a></td>
<td class="colLast">
<div class="block">Classes to perform curve fitting.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/fitting/leastsquares/package-summary.html">org.apache.commons.math3.fitting.leastsquares</a></td>
<td class="colLast">
<div class="block">This package provides algorithms that minimize the residuals
between observations and model values.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/fraction/package-summary.html">org.apache.commons.math3.fraction</a></td>
<td class="colLast">
<div class="block">Fraction number type and fraction number formatting.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/genetics/package-summary.html">org.apache.commons.math3.genetics</a></td>
<td class="colLast">
<div class="block">This package provides Genetic Algorithms components and implementations.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/geometry/package-summary.html">org.apache.commons.math3.geometry</a></td>
<td class="colLast">
<div class="block">
This package is the top level package for geometry.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/geometry/enclosing/package-summary.html">org.apache.commons.math3.geometry.enclosing</a></td>
<td class="colLast">
<div class="block">
This package provides interfaces and classes related to the smallest enclosing ball problem.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/geometry/euclidean/oned/package-summary.html">org.apache.commons.math3.geometry.euclidean.oned</a></td>
<td class="colLast">
<div class="block">
This package provides basic 1D geometry components.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/geometry/euclidean/threed/package-summary.html">org.apache.commons.math3.geometry.euclidean.threed</a></td>
<td class="colLast">
<div class="block">
This package provides basic 3D geometry components.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/geometry/euclidean/twod/package-summary.html">org.apache.commons.math3.geometry.euclidean.twod</a></td>
<td class="colLast">
<div class="block">
This package provides basic 2D geometry components.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/geometry/euclidean/twod/hull/package-summary.html">org.apache.commons.math3.geometry.euclidean.twod.hull</a></td>
<td class="colLast">
<div class="block">
This package provides algorithms to generate the convex hull
for a set of points in an two-dimensional euclidean space.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/geometry/hull/package-summary.html">org.apache.commons.math3.geometry.hull</a></td>
<td class="colLast">
<div class="block">
This package provides interfaces and classes related to the convex hull problem.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/geometry/partitioning/package-summary.html">org.apache.commons.math3.geometry.partitioning</a></td>
<td class="colLast">
<div class="block">This package provides classes to implement Binary Space Partition trees.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/geometry/partitioning/utilities/package-summary.html">org.apache.commons.math3.geometry.partitioning.utilities</a></td>
<td class="colLast">
<div class="block">
This package provides multidimensional ordering features for partitioning.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/geometry/spherical/oned/package-summary.html">org.apache.commons.math3.geometry.spherical.oned</a></td>
<td class="colLast">
<div class="block">
This package provides basic geometry components on the 1-sphere.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/geometry/spherical/twod/package-summary.html">org.apache.commons.math3.geometry.spherical.twod</a></td>
<td class="colLast">
<div class="block">
This package provides basic geometry components on the 2-sphere.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/linear/package-summary.html">org.apache.commons.math3.linear</a></td>
<td class="colLast">
<div class="block">Linear algebra support.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/ml/package-summary.html">org.apache.commons.math3.ml</a></td>
<td class="colLast">
<div class="block">Base package for machine learning algorithms.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/ml/clustering/package-summary.html">org.apache.commons.math3.ml.clustering</a></td>
<td class="colLast">
<div class="block">Clustering algorithms.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/ml/clustering/evaluation/package-summary.html">org.apache.commons.math3.ml.clustering.evaluation</a></td>
<td class="colLast">
<div class="block">Cluster evaluation methods.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/ml/distance/package-summary.html">org.apache.commons.math3.ml.distance</a></td>
<td class="colLast">
<div class="block">Common distance measures.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/ml/neuralnet/package-summary.html">org.apache.commons.math3.ml.neuralnet</a></td>
<td class="colLast">
<div class="block">Neural networks.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/ml/neuralnet/oned/package-summary.html">org.apache.commons.math3.ml.neuralnet.oned</a></td>
<td class="colLast">
<div class="block">One-dimensional neural networks.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/ml/neuralnet/sofm/package-summary.html">org.apache.commons.math3.ml.neuralnet.sofm</a></td>
<td class="colLast">
<div class="block">Self Organizing Feature Map.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/ml/neuralnet/sofm/util/package-summary.html">org.apache.commons.math3.ml.neuralnet.sofm.util</a></td>
<td class="colLast">
<div class="block">Miscellaneous utilities.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/ml/neuralnet/twod/package-summary.html">org.apache.commons.math3.ml.neuralnet.twod</a></td>
<td class="colLast">
<div class="block">Two-dimensional neural networks.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/ml/neuralnet/twod/util/package-summary.html">org.apache.commons.math3.ml.neuralnet.twod.util</a></td>
<td class="colLast">
<div class="block">Utilities to visualize two-dimensional neural networks.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/ode/package-summary.html">org.apache.commons.math3.ode</a></td>
<td class="colLast">
<div class="block">
This package provides classes to solve Ordinary Differential Equations problems.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/ode/events/package-summary.html">org.apache.commons.math3.ode.events</a></td>
<td class="colLast">
<div class="block">
This package provides classes to handle discrete events occurring during
Ordinary Differential Equations integration.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/ode/nonstiff/package-summary.html">org.apache.commons.math3.ode.nonstiff</a></td>
<td class="colLast">
<div class="block">
This package provides classes to solve non-stiff Ordinary Differential Equations problems.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/ode/sampling/package-summary.html">org.apache.commons.math3.ode.sampling</a></td>
<td class="colLast">
<div class="block">
This package provides classes to handle sampling steps during
Ordinary Differential Equations integration.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/optim/package-summary.html">org.apache.commons.math3.optim</a></td>
<td class="colLast">
<div class="block">
Generally, optimizers are algorithms that will either
<a href="org/apache/commons/math3/optim/nonlinear/scalar/GoalType.html#MINIMIZE"><code>minimize</code></a> or
<a href="org/apache/commons/math3/optim/nonlinear/scalar/GoalType.html#MAXIMIZE"><code>maximize</code></a>
a scalar function, called the
<a href="org/apache/commons/math3/optim/nonlinear/scalar/ObjectiveFunction.html" title="class in org.apache.commons.math3.optim.nonlinear.scalar"><code><em>objective
function</em></code></a>.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/optim/linear/package-summary.html">org.apache.commons.math3.optim.linear</a></td>
<td class="colLast">
<div class="block">Optimization algorithms for linear constrained problems.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/optim/nonlinear/scalar/package-summary.html">org.apache.commons.math3.optim.nonlinear.scalar</a></td>
<td class="colLast">
<div class="block">Algorithms for optimizing a scalar function.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/optim/nonlinear/scalar/gradient/package-summary.html">org.apache.commons.math3.optim.nonlinear.scalar.gradient</a></td>
<td class="colLast">
<div class="block">This package provides optimization algorithms that require derivatives.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/optim/nonlinear/scalar/noderiv/package-summary.html">org.apache.commons.math3.optim.nonlinear.scalar.noderiv</a></td>
<td class="colLast">
<div class="block">This package provides optimization algorithms that do not require derivatives.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/optim/nonlinear/vector/package-summary.html">org.apache.commons.math3.optim.nonlinear.vector</a></td>
<td class="colLast">
<div class="block">Algorithms for optimizing a vector function.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/optim/nonlinear/vector/jacobian/package-summary.html">org.apache.commons.math3.optim.nonlinear.vector.jacobian</a></td>
<td class="colLast">
<div class="block">This package provides optimization algorithms that require derivatives.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/optim/univariate/package-summary.html">org.apache.commons.math3.optim.univariate</a></td>
<td class="colLast">
<div class="block">One-dimensional optimization algorithms.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/optimization/package-summary.html">org.apache.commons.math3.optimization</a></td>
<td class="colLast">
<div class="block">All classes and sub-packages of this package are deprecated.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/optimization/direct/package-summary.html">org.apache.commons.math3.optimization.direct</a></td>
<td class="colLast">
<div class="block">
This package provides optimization algorithms that don't require derivatives.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/optimization/fitting/package-summary.html">org.apache.commons.math3.optimization.fitting</a></td>
<td class="colLast">
<div class="block">This package provides classes to perform curve fitting.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/optimization/general/package-summary.html">org.apache.commons.math3.optimization.general</a></td>
<td class="colLast">
<div class="block">This package provides optimization algorithms that require derivatives.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/optimization/linear/package-summary.html">org.apache.commons.math3.optimization.linear</a></td>
<td class="colLast">
<div class="block">This package provides optimization algorithms for linear constrained problems.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/optimization/univariate/package-summary.html">org.apache.commons.math3.optimization.univariate</a></td>
<td class="colLast">
<div class="block">Univariate real functions minimum finding algorithms.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/primes/package-summary.html">org.apache.commons.math3.primes</a></td>
<td class="colLast">
<div class="block">Methods related to prime numbers like primality test, factor decomposition.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/random/package-summary.html">org.apache.commons.math3.random</a></td>
<td class="colLast">
<div class="block">Random number and random data generators.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/special/package-summary.html">org.apache.commons.math3.special</a></td>
<td class="colLast">
<div class="block">Implementations of special functions such as Beta and Gamma.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/stat/package-summary.html">org.apache.commons.math3.stat</a></td>
<td class="colLast">
<div class="block">Data storage, manipulation and summary routines.</div>
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<td class="colFirst"><a href="org/apache/commons/math3/stat/clustering/package-summary.html">org.apache.commons.math3.stat.clustering</a></td>
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<div class="block">All classes and sub-packages of this package are deprecated.</div>
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<td class="colFirst"><a href="org/apache/commons/math3/stat/correlation/package-summary.html">org.apache.commons.math3.stat.correlation</a></td>
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<div class="block">Correlations/Covariance computations.</div>
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<td class="colFirst"><a href="org/apache/commons/math3/stat/descriptive/package-summary.html">org.apache.commons.math3.stat.descriptive</a></td>
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<div class="block">Generic univariate summary statistic objects.</div>
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<td class="colFirst"><a href="org/apache/commons/math3/stat/descriptive/moment/package-summary.html">org.apache.commons.math3.stat.descriptive.moment</a></td>
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<div class="block">Summary statistics based on moments.</div>
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<td class="colFirst"><a href="org/apache/commons/math3/stat/descriptive/rank/package-summary.html">org.apache.commons.math3.stat.descriptive.rank</a></td>
<td class="colLast">
<div class="block">Summary statistics based on ranks.</div>
</td>
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<tr class="rowColor">
<td class="colFirst"><a href="org/apache/commons/math3/stat/descriptive/summary/package-summary.html">org.apache.commons.math3.stat.descriptive.summary</a></td>
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<div class="block">Other summary statistics.</div>
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<td class="colFirst"><a href="org/apache/commons/math3/stat/inference/package-summary.html">org.apache.commons.math3.stat.inference</a></td>
<td class="colLast">
<div class="block">Classes providing hypothesis testing.</div>
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<td class="colFirst"><a href="org/apache/commons/math3/stat/interval/package-summary.html">org.apache.commons.math3.stat.interval</a></td>
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<div class="block">Classes providing binomial proportion confidence interval construction.</div>
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<td class="colFirst"><a href="org/apache/commons/math3/stat/ranking/package-summary.html">org.apache.commons.math3.stat.ranking</a></td>
<td class="colLast">
<div class="block">Classes providing rank transformations.</div>
</td>
</tr>
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<td class="colFirst"><a href="org/apache/commons/math3/stat/regression/package-summary.html">org.apache.commons.math3.stat.regression</a></td>
<td class="colLast">
<div class="block">Statistical routines involving multivariate data.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><a href="org/apache/commons/math3/transform/package-summary.html">org.apache.commons.math3.transform</a></td>
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<div class="block">Implementations of transform methods, including Fast Fourier transforms.</div>
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<td class="colFirst"><a href="org/apache/commons/math3/util/package-summary.html">org.apache.commons.math3.util</a></td>
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<div class="block">Convenience routines and common data structures used throughout the commons-math library.</div>
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