Package dk.jonaslindstrom.ruffini.reals.structures

Class ComplexCoordinateSpace

java.lang.Object

dk.jonaslindstrom.ruffini.common.structures.AbstractModule<V,S,F>

dk.jonaslindstrom.ruffini.common.structures.AbstractVectorSpace<Vector<E>,E,F>

dk.jonaslindstrom.ruffini.common.structures.VectorSpaceOverField<ComplexNumber,ComplexNumbers>

dk.jonaslindstrom.ruffini.reals.structures.ComplexCoordinateSpace

All Implemented Interfaces:

AdditiveGroup<Vector<ComplexNumber>>, CommutativeMonoid<Vector<ComplexNumber>>, InnerProductSpace<Vector<ComplexNumber>,ComplexNumber,ComplexNumbers>, Module<Vector<ComplexNumber>,ComplexNumber,ComplexNumbers>, NormedVectorSpace<Vector<ComplexNumber>,ComplexNumber,ComplexNumbers>, Set<Vector<ComplexNumber>>, VectorSpace<Vector<ComplexNumber>,ComplexNumber,ComplexNumbers>

public class ComplexCoordinateSpace
extends VectorSpaceOverField<ComplexNumber,ComplexNumbers>
implements NormedVectorSpace<Vector<ComplexNumber>,ComplexNumber,ComplexNumbers>

Field Summary

Fields inherited from class dk.jonaslindstrom.ruffini.common.structures.AbstractModule

ring, vectors

Constructor Summary

Constructors

Constructor	Description
ComplexCoordinateSpace(int n)

Method Summary

Modifier and Type	Method	Description
ComplexNumber	innerProduct(Vector<ComplexNumber> v, Vector<ComplexNumber> u)	Return the inner product ⟨v,u⟩ of two vectors v and u.
double	norm(Vector<ComplexNumber> v)

Methods inherited from class dk.jonaslindstrom.ruffini.common.structures.VectorSpaceOverField

scale

Methods inherited from class dk.jonaslindstrom.ruffini.common.structures.AbstractModule

add, equals, getScalars, negate, toString, zero

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.AdditiveGroup

doubling, isZero, negate, scale, scale, subtract, sum

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.CommutativeMonoid

add, add, add, zero

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Module

getScalars, scale

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Set

equals, toString

Constructor Details

ComplexCoordinateSpace

public ComplexCoordinateSpace(int n)

Method Details

innerProduct

public ComplexNumber innerProduct(Vector<ComplexNumber> v,
 Vector<ComplexNumber> u)

Description copied from interface: InnerProductSpace

Return the inner product ⟨v,u⟩ of two vectors v and u.

Specified by:

innerProduct in interface InnerProductSpace<Vector<ComplexNumber>,ComplexNumber,ComplexNumbers>

Overrides:

innerProduct in class VectorSpaceOverField<ComplexNumber,ComplexNumbers>

norm

public double norm(Vector<ComplexNumber> v)

Specified by:

norm in interface NormedVectorSpace<Vector<ComplexNumber>,ComplexNumber,ComplexNumbers>