Uses of Interface
dk.jonaslindstrom.ruffini.common.abstractions.CommutativeMonoid

Packages that use CommutativeMonoid

Package	Description
dk.jonaslindstrom.ruffini.common.abstractions
dk.jonaslindstrom.ruffini.common.helpers
dk.jonaslindstrom.ruffini.common.matrices.structures
dk.jonaslindstrom.ruffini.common.structures
dk.jonaslindstrom.ruffini.common.util
dk.jonaslindstrom.ruffini.elliptic.structures
dk.jonaslindstrom.ruffini.finitefields
dk.jonaslindstrom.ruffini.integers.structures
dk.jonaslindstrom.ruffini.integers.structures.limbs
dk.jonaslindstrom.ruffini.polynomials.structures
dk.jonaslindstrom.ruffini.reals.structures

Uses of CommutativeMonoid in dk.jonaslindstrom.ruffini.common.abstractions

Subinterfaces of CommutativeMonoid in dk.jonaslindstrom.ruffini.common.abstractions

Modifier and Type	Interface	Description
interface	AdditiveGroup<E>	An additive group is like a Group but where the operation is commutative and is called add.
interface	EuclideanDomain<E>	A Euclidean domain is a ring with Euclidean division.
interface	Field<E>	A field is a commutative ring where every non-zero element has a multiplicative inverse.
interface	InnerProductSpace<V,S,F extends Field<S>>	A group is a set with an associative addition operation and an inverse operation.
interface	Module<V,S,R extends Ring<S>>	A module over a ring R is an additive group V together with a scalar multiplication.
interface	NormedVectorSpace<V,S,F extends Field<S>>	An inner product space is a vector space with an inner product.
interface	Ring<E>	A ring is a set with an associative and commutative addition operation and an associative multiplication operation.
interface	SemiRing<E>	A semiring is a set with an associative and commutative addition operation and an associative multiplication operation.
interface	VectorSpace<V,S,F extends Field<S>>	A vector space is a module over a field.

Uses of CommutativeMonoid in dk.jonaslindstrom.ruffini.common.helpers

Classes in dk.jonaslindstrom.ruffini.common.helpers that implement CommutativeMonoid

Modifier and Type	Class	Description
class	NullSafeRing<E>	This class wraps a ring but operations will treat null operands as if they were zero.
class	PerformanceLoggingField<E>	Wrapper for the ring class which logs the number of operations performed in this ring.
class	PerformanceLoggingRing<E>	Wrapper for the ring class which logs the number of operations performed in this ring.

Uses of CommutativeMonoid in dk.jonaslindstrom.ruffini.common.matrices.structures

Classes in dk.jonaslindstrom.ruffini.common.matrices.structures that implement CommutativeMonoid

Modifier and Type	Class	Description
class	MatrixRing<E>	This class represents a ring of n × n matrices over a base ring.

Uses of CommutativeMonoid in dk.jonaslindstrom.ruffini.common.structures

Classes in dk.jonaslindstrom.ruffini.common.structures that implement CommutativeMonoid

Modifier and Type	Class	Description
class	AbstractModule<V,S,R extends Ring<S>>
class	AbstractVectorSpace<V,S,F extends Field<S>>
class	FieldOfFractions<E>
class	QuotientRing<E>
class	VectorGroup<E>
class	VectorSpaceOverField<E,F extends Field<E>>

Uses of CommutativeMonoid in dk.jonaslindstrom.ruffini.common.util

Classes in dk.jonaslindstrom.ruffini.common.util that implement CommutativeMonoid

Modifier and Type	Class	Description
static class	TestUtils.TestBigIntegers
static class	TestUtils.TestField
static class	TestUtils.TestIntegers

Uses of CommutativeMonoid in dk.jonaslindstrom.ruffini.elliptic.structures

Classes in dk.jonaslindstrom.ruffini.elliptic.structures that implement CommutativeMonoid

Modifier and Type	Class	Description
class	Curve25519
class	EdwardsCurve<E,F extends Field<E>>	Instances of this class represents a curve over a field over elements of type E satisfying the equation x2 + y2 = 1 + d x2 y2.
class	MontgomeryCurve<E,F extends Field<E>>	Curve on Montgomery form By2 = x3 + Ax2 + x.
class	ShortWeierstrassCurveAffine<E,F extends Field<E>>
class	ShortWeierstrassCurveProjective<E>

Uses of CommutativeMonoid in dk.jonaslindstrom.ruffini.finitefields

Classes in dk.jonaslindstrom.ruffini.finitefields that implement CommutativeMonoid

Modifier and Type	Class	Description
class	AlgebraicFieldExtension<E,F extends Field<E>>
class	BigFiniteField
class	BigPrimeField
class	FiniteField
class	GaussianRationals
class	PrimeField
class	QuadraticField

Uses of CommutativeMonoid in dk.jonaslindstrom.ruffini.integers.structures

Classes in dk.jonaslindstrom.ruffini.integers.structures that implement CommutativeMonoid

Modifier and Type	Class	Description
class	BigIntegers
class	BigIntegersModuloN	This class is an implementation of ℤ / nℤ, e.g.
class	BigRationals
class	Integers
class	IntegersModuloN	This class is an implementation of ℤ / nℤ, e.g.
class	Rationals

Uses of CommutativeMonoid in dk.jonaslindstrom.ruffini.integers.structures.limbs

Classes in dk.jonaslindstrom.ruffini.integers.structures.limbs that implement CommutativeMonoid

Modifier and Type	Class	Description
class	BigElements<E>

Uses of CommutativeMonoid in dk.jonaslindstrom.ruffini.polynomials.structures

Classes in dk.jonaslindstrom.ruffini.polynomials.structures that implement CommutativeMonoid

Modifier and Type	Class	Description
class	MultivariatePolynomialRing<E>	This class implements the ring of polynomials K[x] over a field K.
class	MultivariatePolynomialRingOverRing<E>	This class implements the ring of polynomials K[x] over a field K.
class	PolynomialRing<E>	This class implements the ring of polynomials K[x] over a field K.
class	PolynomialRingFFT<E>	This class implements the ring of polynomials K[x] over a field K.
class	PolynomialRingKaratsuba<E>	This class implements the ring of polynomials K[x] over a field K.
class	PolynomialRingOverRing<E>

Uses of CommutativeMonoid in dk.jonaslindstrom.ruffini.reals.structures

Classes in dk.jonaslindstrom.ruffini.reals.structures that implement CommutativeMonoid

Modifier and Type	Class	Description
class	ComplexCoordinateSpace
class	ComplexNumbers
class	ConstructiveReals	The real numbers represented as constructive reals, e.g.
class	RealCoordinateSpace
class	RealNumbers	Real numbers represented by Doubles.