com.numericalmethod.suanshu.mathstructure

Interface Ring<R>

Type Parameters:

R - a ring

All Superinterfaces:

AbelianGroup<R>, Monoid<R>, java.io.Serializable

All Known Subinterfaces:

Field<F>, Matrix<T,F>, Matrix, MatrixRing, SparseMatrix

All Known Implementing Classes:

BidiagonalMatrix, BorderedHessian, CauchyPolynomial, CholeskyWang2006, Complex, ComplexMatrix, CongruentMatrix, CorrelationMatrix, CovarianceMatrix, CSRSparseMatrix, DenseMatrix, DiagonalMatrix, DOKSparseMatrix, DPolynomial, FastKroneckerProduct, GenericMatrix, GivensMatrix, GoldfeldQuandtTrotter, Hessian, HilbertMatrix, ImmutableMatrix, Inverse, Jacobian, KroneckerProduct, LILSparseMatrix, LowerTriangularMatrix, MAT, MatthewsDavies, PermutationMatrix, Polynomial, PositiveDefiniteMatrixByPositiveDiagonal, PositiveSemiDefiniteMatrixNonNegativeDiagonal, Pow, PseudoInverse, QuadraticMonomial, Real, RealMatrix, ScaledPolynomial, SimilarMatrix, SubMatrixRef, SymmetricKronecker, SymmetricMatrix, TridiagonalMatrix, UpperTriangularMatrix

public interface Ring<R>
extends AbelianGroup<R>, Monoid<R>

A ring is a set R equipped with two binary operations called addition and multiplication:

+ : R × R → R

and

· : R × R → R

To qualify as a ring, the set and two operations, (R, +, ⋅), must satisfy the requirements known as the ring axioms.

See Also:

Wikipedia: Ring (mathematics)

Method Summary

Methods inherited from interface com.numericalmethod.suanshu.mathstructure.AbelianGroup

add, minus, opposite, ZERO

Methods inherited from interface com.numericalmethod.suanshu.mathstructure.Monoid

multiply, ONE