orbital.math.functional
Interface BinaryFunction.Composite

All Superinterfaces:

Arithmetic, BinaryFunction, BinaryFunction.Composite, Composite, Functor, Functor.Composite, MathFunctor, MathFunctor.Composite, Normed

Enclosing interface:

BinaryFunction

public static interface BinaryFunction.Composite
extends BinaryFunction.Composite, BinaryFunction, MathFunctor.Composite

A composite function.

compose: Map(A₁×A₂,B)×Map(C₁×C₂,A₁)×Map(C₁×C₂,A₂)→Map(C₁×C₂,B); (o,l,r) → o ∘ (l × t)^T := o(l,r).

derive: ∂/∂(x,y) (f ∘ (g × h)^T) = f'((g,h)) · (g' × h') = ∂f/∂x (g,h) · g' + ∂f/∂y (g,h) · h'.

A BinaryFunction could be composed of an outer BinaryFunction and two inner BinaryFunctions concatenated with the outer binary one. In other words, results o(l(x,y),r(x,y)).

Author:

André Platzer

See Also:

Functionals.compose(BinaryFunction, BinaryFunction, BinaryFunction)

Structure:

is Functor.Composite∩BinaryFunction, extends BinaryFunction, extends orbital.logic.functor.BinaryFunction.Composite, aggregate outer:BinaryFunction, aggregate left:BinaryFunction, aggregate right:BinaryFunction

Nested Class Summary

Nested classes/interfaces inherited from interface orbital.logic.functor.Functor

Functor.Specification

Nested classes/interfaces inherited from interface orbital.logic.functor.Functor

Functor.Specification

Nested classes/interfaces inherited from interface orbital.math.functional.BinaryFunction

BinaryFunction.Composite

Nested classes/interfaces inherited from interface orbital.logic.functor.Functor

Functor.Specification

Nested classes/interfaces inherited from interface orbital.logic.functor.Functor

Functor.Specification

Nested classes/interfaces inherited from interface orbital.logic.functor.Functor

Functor.Specification

Nested classes/interfaces inherited from interface orbital.logic.functor.Functor

Functor.Specification

Field Summary

Fields inherited from interface orbital.logic.functor.BinaryFunction

callTypeDeclaration

Fields inherited from interface orbital.logic.functor.BinaryFunction

callTypeDeclaration

Fields inherited from interface orbital.math.Arithmetic

numerical

Fields inherited from interface orbital.math.Arithmetic

numerical

Method Summary

Methods inherited from interface orbital.logic.functor.Functor.Composite

getNotation, setNotation

Methods inherited from interface orbital.logic.Composite

construct, getComponent, getCompositor, setComponent, setCompositor

Methods inherited from interface orbital.logic.functor.Functor

equals, hashCode, toString

Methods inherited from interface orbital.logic.functor.BinaryFunction

apply

Methods inherited from interface orbital.logic.functor.Functor

equals, hashCode, toString

Methods inherited from interface orbital.math.functional.BinaryFunction

derive, integrate

Methods inherited from interface orbital.logic.functor.BinaryFunction

apply

Methods inherited from interface orbital.logic.functor.Functor

equals, hashCode, toString

Methods inherited from interface orbital.logic.functor.Functor

equals, hashCode, toString

Methods inherited from interface orbital.math.Arithmetic

add, divide, equals, inverse, isOne, isZero, minus, multiply, one, power, scale, subtract, toString, valueFactory, zero

Methods inherited from interface orbital.math.Normed

norm

Methods inherited from interface orbital.logic.functor.Functor.Composite

getNotation, setNotation

Methods inherited from interface orbital.logic.Composite

construct, getComponent, getCompositor, setComponent, setCompositor

Methods inherited from interface orbital.logic.functor.Functor

equals, hashCode, toString

Methods inherited from interface orbital.logic.functor.Functor

equals, hashCode, toString

Methods inherited from interface orbital.math.Arithmetic

add, divide, equals, inverse, isOne, isZero, minus, multiply, one, power, scale, subtract, toString, valueFactory, zero

Methods inherited from interface orbital.math.Normed

norm