| Package | Description | 
|---|---|
| org.apache.commons.math3.analysis | 
      Parent package for common numerical analysis procedures, including root finding,
      function interpolation and integration. | 
| org.apache.commons.math3.analysis.differentiation | 
   This package holds the main interfaces and basic building block classes
   dealing with differentiation. | 
| org.apache.commons.math3.analysis.function | 
      The  functionpackage contains function objects that wrap the
      methods contained inMath, as well as common
      mathematical functions such as the gaussian and sinc functions. | 
| org.apache.commons.math3.analysis.polynomials | Univariate real polynomials implementations, seen as differentiable
     univariate real functions. | 
| org.apache.commons.math3.analysis.solvers | Root finding algorithms, for univariate real functions. | 
| Modifier and Type | Method and Description | 
|---|---|
| static UnivariateDifferentiableFunction | FunctionUtils. add(UnivariateDifferentiableFunction... f)Adds functions. | 
| static UnivariateDifferentiableFunction | FunctionUtils. compose(UnivariateDifferentiableFunction... f)Composes functions. | 
| static UnivariateDifferentiableFunction | FunctionUtils. multiply(UnivariateDifferentiableFunction... f)Multiplies functions. | 
| static UnivariateDifferentiableFunction | FunctionUtils. toUnivariateDifferential(DifferentiableUnivariateFunction f)Deprecated. 
 this conversion method is temporary in version 3.1, as the  DifferentiableUnivariateFunctioninterface itself is deprecated | 
| Modifier and Type | Method and Description | 
|---|---|
| static UnivariateDifferentiableFunction | FunctionUtils. add(UnivariateDifferentiableFunction... f)Adds functions. | 
| static UnivariateDifferentiableFunction | FunctionUtils. compose(UnivariateDifferentiableFunction... f)Composes functions. | 
| static UnivariateDifferentiableFunction | FunctionUtils. multiply(UnivariateDifferentiableFunction... f)Multiplies functions. | 
| static DifferentiableUnivariateFunction | FunctionUtils. toDifferentiableUnivariateFunction(UnivariateDifferentiableFunction f)Deprecated. 
 this conversion method is temporary in version 3.1, as the  DifferentiableUnivariateFunctioninterface itself is deprecated | 
| Modifier and Type | Method and Description | 
|---|---|
| UnivariateDifferentiableFunction | FiniteDifferencesDifferentiator. differentiate(UnivariateFunction function)Create an implementation of a  differentialfrom a regularfunction. | 
| UnivariateDifferentiableFunction | UnivariateFunctionDifferentiator. differentiate(UnivariateFunction function)Create an implementation of a  differentialfrom a regularfunction. | 
| Modifier and Type | Class and Description | 
|---|---|
| class  | AcosArc-cosine function. | 
| class  | AcoshHyperbolic arc-cosine function. | 
| class  | AsinArc-sine function. | 
| class  | AsinhHyperbolic arc-sine function. | 
| class  | AtanArc-tangent function. | 
| class  | AtanhHyperbolic arc-tangent function. | 
| class  | CbrtCube root function. | 
| class  | ConstantConstant function. | 
| class  | CosCosine function. | 
| class  | CoshHyperbolic cosine function. | 
| class  | ExpExponential function. | 
| class  | Expm1ex-1function. | 
| class  | Gaussian
  Gaussian function. | 
| class  | HarmonicOscillator
  simple harmonic oscillator function. | 
| class  | IdentityIdentity function. | 
| class  | InverseInverse function. | 
| class  | LogNatural logarithm function. | 
| class  | Log10Base 10 logarithm function. | 
| class  | Log1plog(1 + p)function. | 
| class  | Logistic
  Generalised logistic function. | 
| class  | Logit
  Logit function. | 
| class  | MinusMinus function. | 
| class  | PowerPower function. | 
| class  | Sigmoid
  Sigmoid function. | 
| class  | SinSine function. | 
| class  | SincSinc function,
 defined by | 
| class  | SinhHyperbolic sine function. | 
| class  | SqrtSquare-root function. | 
| class  | TanTangent function. | 
| class  | TanhHyperbolic tangent function. | 
| Modifier and Type | Class and Description | 
|---|---|
| class  | PolynomialFunctionImmutable representation of a real polynomial function with real coefficients. | 
| class  | PolynomialFunctionNewtonFormImplements the representation of a real polynomial function in
 Newton Form. | 
| class  | PolynomialSplineFunctionRepresents a polynomial spline function. | 
| Modifier and Type | Method and Description | 
|---|---|
| protected void | AbstractUnivariateDifferentiableSolver. setup(int maxEval,
     UnivariateDifferentiableFunction f,
     double min,
     double max,
     double startValue)Prepare for computation. | 
| double | NewtonRaphsonSolver. solve(int maxEval,
     UnivariateDifferentiableFunction f,
     double min,
     double max)Find a zero near the midpoint of  minandmax. | 
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