Package dk.jonaslindstrom.ruffini.common.abstractions

Interface Module<V,S,R extends Ring<S>>

Type Parameters:

V - Vector type.

S - Scalar type.

R - Scalar ring type

All Superinterfaces:

AdditiveGroup<V>, CommutativeMonoid<V>, Set<V>

All Known Subinterfaces:

InnerProductSpace<V,S,F>, NormedVectorSpace<V,S,F>, VectorSpace<V,S,F>

All Known Implementing Classes:

AbstractModule, AbstractVectorSpace, ComplexCoordinateSpace, RealCoordinateSpace, VectorSpaceOverField

public interface Module<V,S,R extends Ring<S>>
extends AdditiveGroup<V>

A module over a ring R is an additive group V together with a scalar multiplication.

Method Summary

Modifier and Type	Method	Description
R	getScalars()	Get the scalar ring.
V	scale(S s, V v)	Return the scaling sv ∈ V of the vector v ∈ V with the scalar s.

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.Set

equals, toString

Method Details

scale

V scale(S s,
 V v)

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

getScalars

R getScalars()

Get the scalar ring.