orbital.math.functional
Interface Function.Composite

All Superinterfaces:

Arithmetic, Composite, Function, Function.Composite, Functor, Functor.Composite, MathFunctor, MathFunctor.Composite, Normed

Enclosing interface:

Function

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

A composite function.

compose: Map(A,B)×Map(C,A)→Map(C,B); (f,g) ↦ f ∘ g := f(g).

derive: (f ∘ g)' = (f' ∘ g) · g'.

A Function could be composed of two Functions with one concatenated with the other.

Author:

André Platzer

See Also:

Functionals.compose(Function, Function)

Structure:

is Functor.Composite∩Function, extends Function, extends orbital.logic.functor.Function.Composite, aggregate outer:Function, aggregate inner:Function

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.Function

Function.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.Function

callTypeDeclaration

Fields inherited from interface orbital.logic.functor.Function

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.Function

apply

Methods inherited from interface orbital.logic.functor.Functor

equals, hashCode, toString

Methods inherited from interface orbital.math.functional.Function

derive, integrate

Methods inherited from interface orbital.logic.functor.Function

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