Package org.meeuw.math.abstractalgebra
Interface FieldElement<E extends FieldElement<E>>
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- All Superinterfaces:
AdditiveGroupElement<E>,AdditiveMonoidElement<E>,AdditiveSemiGroupElement<E>,AlgebraicElement<E>,DivisionRingElement<E>,MultiplicativeGroupElement<E>,MultiplicativeMonoidElement<E>,MultiplicativeSemiGroupElement<E>,RingElement<E>,RngElement<E>
- All Known Subinterfaces:
CompleteFieldElement<E>,ScalarFieldElement<E>,UncertainReal
- All Known Implementing Classes:
UncertainDoubleElement
public interface FieldElement<E extends FieldElement<E>> extends DivisionRingElement<E>, MultiplicativeGroupElement<E>
An element of an algebraic Field. Next to multiplication, also addition is defined.- Since:
- 0.4
- Author:
- Michiel Meeuwissen
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Method Summary
All Methods Instance Methods Abstract Methods Modifier and Type Method Description Field<E>getStructure()Returns theAlgebraicStructureassociated with the object.-
Methods inherited from interface org.meeuw.math.abstractalgebra.AdditiveGroupElement
minus, negation, repeatedPlus
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Methods inherited from interface org.meeuw.math.abstractalgebra.AdditiveMonoidElement
isZero
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Methods inherited from interface org.meeuw.math.abstractalgebra.AdditiveSemiGroupElement
p, plus
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Methods inherited from interface org.meeuw.math.abstractalgebra.MultiplicativeGroupElement
dividedBy, pow, reciprocal
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Methods inherited from interface org.meeuw.math.abstractalgebra.MultiplicativeMonoidElement
isOne
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Methods inherited from interface org.meeuw.math.abstractalgebra.MultiplicativeSemiGroupElement
sqr, times, x
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Method Detail
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getStructure
Field<E> getStructure()
Description copied from interface:AlgebraicElementReturns theAlgebraicStructureassociated with the object.- Specified by:
getStructurein interfaceAdditiveGroupElement<E extends FieldElement<E>>- Specified by:
getStructurein interfaceAdditiveMonoidElement<E extends FieldElement<E>>- Specified by:
getStructurein interfaceAdditiveSemiGroupElement<E extends FieldElement<E>>- Specified by:
getStructurein interfaceAlgebraicElement<E extends FieldElement<E>>- Specified by:
getStructurein interfaceDivisionRingElement<E extends FieldElement<E>>- Specified by:
getStructurein interfaceMultiplicativeGroupElement<E extends FieldElement<E>>- Specified by:
getStructurein interfaceMultiplicativeMonoidElement<E extends FieldElement<E>>- Specified by:
getStructurein interfaceMultiplicativeSemiGroupElement<E extends FieldElement<E>>- Specified by:
getStructurein interfaceRingElement<E extends FieldElement<E>>- Specified by:
getStructurein interfaceRngElement<E extends FieldElement<E>>
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