RealFunction (Episteme API Documentation)

All Superinterfaces:: ContinuousFunction<Real,Real>, DifferentiableFunction<Real,Real>, Function<Real,Real>, Function<Real,Real>, IntegrableFunction<Real,Real>, Relation<Real,Real>

public interface RealFunction extends DifferentiableFunction<Real,Real>, IntegrableFunction<Real,Real>

Represents a real-valued function of a real variable (R -> R).

Provides capabilities for numerical analysis, such as differentiation and integration.

Since:: 1.0
Author:: Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Method Summary

Modifier and Type

Method

Description

default RealFunction

derivative()

Returns the derivative of this function.

default Function<Real,Real>

differentiate()

Returns the derivative of this function.

static RealFunction

identity()

default RealFunction

integrate()

Returns the integral of this function (antiderivative) with zero constant.

default Real

integrate(Real a, Real b)

Integrates this function over a definite interval [a, b].

Methods inherited from interface ContinuousFunction
isContinuous

Methods inherited from interface DifferentiableFunction
isDifferentiable

Methods inherited from interface Function
compose

Methods inherited from interface Function
andThen, apply, compose, contains, evaluate, evaluate, getBackend, setBackend

Methods inherited from interface Relation
getCodomain, getDomain

Method Details
- derivative
  
  default RealFunction derivative()
  
  Returns the derivative of this function.
  
  Returns:
  
  the derivative function f'
- differentiate
  
  default Function<Real,Real> differentiate()
  
  Description copied from interface: DifferentiableFunction
  
  Returns the derivative of this function.
  
  Specified by:
  
  differentiate in interface DifferentiableFunction<Real,Real>
  
  Returns:
  
  f'
- integrate
  
  default RealFunction integrate()
  
  Returns the integral of this function (antiderivative) with zero constant.
  
  Specified by:
  
  integrate in interface IntegrableFunction<Real,Real>
  
  Returns:
  
  the antiderivative function F such that F' = f
  
  Throws:
  
  UnsupportedOperationException - if symbolic integration is not supported
- integrate
  
  default Real integrate(Real a, Real b)
  
  Integrates this function over a definite interval [a, b].
  
  Specified by:
  
  integrate in interface IntegrableFunction<Real,Real>
  
  Parameters:
  
  a - the lower bound
  
  b - the upper bound
  
  Returns:
  
  the definite integral value
- identity
  
  static RealFunction identity()