Package dk.jonaslindstrom.ruffini.common.structures

Class VectorSpaceOverField<E,F extends Field<E>>

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<E,F>

All Implemented Interfaces:

AdditiveGroup<Vector<E>>, CommutativeMonoid<Vector<E>>, InnerProductSpace<Vector<E>,E,F>, Module<Vector<E>,E,F>, Set<Vector<E>>, VectorSpace<Vector<E>,E,F>

Direct Known Subclasses:

ComplexCoordinateSpace, RealCoordinateSpace

public class VectorSpaceOverField<E,F extends Field<E>>
extends AbstractVectorSpace<Vector<E>,E,F>
implements InnerProductSpace<Vector<E>,E,F>

Field Summary

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

ring, vectors

Constructor Summary

Constructors

Constructor	Description
VectorSpaceOverField(F field, int n)

Method Summary

Modifier and Type	Method	Description
E	innerProduct(Vector<E> v, Vector<E> u)	Return the inner product ⟨v,u⟩ of two vectors v and u.
Vector<E>	scale(E s, Vector<E> v)	Return the scaling sv ∈ V of the vector v ∈ V with the scalar s.

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

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

equals, toString

Constructor Details

VectorSpaceOverField

public VectorSpaceOverField(F field,
 int n)

Method Details

scale

public Vector<E> scale(E s,
 Vector<E> v)

Description copied from interface: Module

Return the scaling sv ∈ V of the vector v ∈ V with the scalar s.

Specified by:

scale in interface Module<Vector<E>,E,F extends Field<E>>

innerProduct

public E innerProduct(Vector<E> v,
 Vector<E> 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<E>,E,F extends Field<E>>