Interface GroupMultiplicative<G>
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- All Superinterfaces:
javolution.lang.Immutable
,Structure<G>
,javolution.lang.ValueType
- All Known Subinterfaces:
Field<F>
- All Known Implementing Classes:
Amount
,Complex
,Float64
,FloatingPoint
,ModuloInteger
,Rational
,RationalFunction
,Real
public interface GroupMultiplicative<G> extends Structure<G>
This interface represents a structure with a binary multiplicative operation (·), satisfying the group axioms (associativity, neutral element, inverse element and closure).- See Also:
- Wikipedia: Mathematical Group
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Method Summary
All Methods Instance Methods Abstract Methods Modifier and Type Method Description G
inverse()
Returns the multiplicative inverse of this object.G
times(G that)
Returns the product of this object with the one specified.
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Method Detail
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times
G times(G that)
Returns the product of this object with the one specified.- Parameters:
that
- the object multiplier.- Returns:
this · that
.
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inverse
G inverse()
Returns the multiplicative inverse of this object. It it the object such asthis.times(this.inverse()) == ONE
, withONE
being the multiplicative identity.- Returns:
ONE / this
.
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