| Package | Description | 
|---|---|
| org.apache.commons.math3.analysis.solvers | Root finding algorithms, for univariate real functions. | 
| org.apache.commons.math3.fraction | Fraction number type and fraction number formatting. | 
| org.apache.commons.math3.geometry.euclidean.twod.hull | 
 This package provides algorithms to generate the convex hull
 for a set of points in an two-dimensional euclidean space. | 
| org.apache.commons.math3.geometry.hull | 
 This package provides interfaces and classes related to the convex hull problem. | 
| org.apache.commons.math3.ml.clustering | Clustering algorithms. | 
| org.apache.commons.math3.special | Implementations of special functions such as Beta and Gamma. | 
| org.apache.commons.math3.stat.clustering | All classes and sub-packages of this package are deprecated. | 
| org.apache.commons.math3.stat.inference | Classes providing hypothesis testing. | 
| org.apache.commons.math3.util | Convenience routines and common data structures used throughout the commons-math library. | 
| Modifier and Type | Method and Description | 
|---|---|
| protected double | BaseSecantSolver. doSolve()Method for implementing actual optimization algorithms in derived
 classes. | 
| Modifier and Type | Class and Description | 
|---|---|
| class  | FractionConversionExceptionError thrown when a double value cannot be converted to a fraction
 in the allowed number of iterations. | 
| Modifier and Type | Method and Description | 
|---|---|
| ConvexHull2D | ConvexHullGenerator2D. generate(Collection<Vector2D> points)Builds the convex hull from the set of input points. | 
| Modifier and Type | Method and Description | 
|---|---|
| ConvexHull<S,P> | ConvexHullGenerator. generate(Collection<P> points)Builds the convex hull from the set of input points. | 
| Modifier and Type | Method and Description | 
|---|---|
| List<CentroidCluster<T>> | KMeansPlusPlusClusterer. cluster(Collection<T> points)Runs the K-means++ clustering algorithm. | 
| abstract List<? extends Cluster<T>> | Clusterer. cluster(Collection<T> points)Perform a cluster analysis on the given set of  Clusterableinstances. | 
| List<CentroidCluster<T>> | MultiKMeansPlusPlusClusterer. cluster(Collection<T> points)Runs the K-means++ clustering algorithm. | 
| Modifier and Type | Method and Description | 
|---|---|
| double | BesselJ. value(double x)Returns the value of the constructed Bessel function of the first kind,
 for the passed argument. | 
| static double | BesselJ. value(double order,
     double x)Returns the first Bessel function, \(J_{order}(x)\). | 
| Modifier and Type | Method and Description | 
|---|---|
| List<Cluster<T>> | KMeansPlusPlusClusterer. cluster(Collection<T> points,
       int k,
       int maxIterations)Deprecated.  Runs the K-means++ clustering algorithm. | 
| List<Cluster<T>> | KMeansPlusPlusClusterer. cluster(Collection<T> points,
       int k,
       int numTrials,
       int maxIterationsPerTrial)Deprecated.  Runs the K-means++ clustering algorithm. | 
| Modifier and Type | Method and Description | 
|---|---|
| double | OneWayAnova. anovaPValue(Collection<double[]> categoryData)Computes the ANOVA P-value for a collection of  double[]arrays. | 
| double | OneWayAnova. anovaPValue(Collection<SummaryStatistics> categoryData,
           boolean allowOneElementData)Computes the ANOVA P-value for a collection of  SummaryStatistics. | 
| boolean | OneWayAnova. anovaTest(Collection<double[]> categoryData,
         double alpha)Performs an ANOVA test, evaluating the null hypothesis that there
 is no difference among the means of the data categories. | 
| double | MannWhitneyUTest. mannWhitneyUTest(double[] x,
                double[] y)Returns the asymptotic observed significance level, or 
 p-value, associated with a  Mann-Whitney
 U statistic comparing mean for two independent samples. | 
| static double | TestUtils. oneWayAnovaPValue(Collection<double[]> categoryData) | 
| static boolean | TestUtils. oneWayAnovaTest(Collection<double[]> categoryData,
               double alpha) | 
| double | WilcoxonSignedRankTest. wilcoxonSignedRankTest(double[] x,
                      double[] y,
                      boolean exactPValue)Returns the observed significance level, or 
 p-value, associated with a 
 Wilcoxon signed ranked statistic comparing mean for two related
 samples or repeated measurements on a single sample. | 
| Modifier and Type | Method and Description | 
|---|---|
| double | ContinuedFraction. evaluate(double x)Evaluates the continued fraction at the value x. | 
| double | ContinuedFraction. evaluate(double x,
        double epsilon)Evaluates the continued fraction at the value x. | 
| double | ContinuedFraction. evaluate(double x,
        double epsilon,
        int maxIterations)Evaluates the continued fraction at the value x. | 
| double | ContinuedFraction. evaluate(double x,
        int maxIterations)Evaluates the continued fraction at the value x. | 
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