Uses of Interface
org.episteme.core.mathematics.structures.rings.Field

Packages that use Field

Package	Description
org.episteme.client.client.mathematics.linearalgebra.backends
org.episteme.core.mathematics.algebra.algebras
org.episteme.core.mathematics.analysis
org.episteme.core.mathematics.linearalgebra.backends
org.episteme.core.mathematics.linearalgebra.matrices
org.episteme.core.mathematics.linearalgebra.matrices.solvers
org.episteme.core.mathematics.linearalgebra.matrices.solvers.sparse
org.episteme.core.mathematics.linearalgebra.providers
org.episteme.core.mathematics.linearalgebra.spaces
org.episteme.core.mathematics.numbers.complex
org.episteme.core.mathematics.numbers.rationals
org.episteme.core.mathematics.numbers.real
org.episteme.core.mathematics.sets
org.episteme.core.mathematics.structures.spaces
org.episteme.nativ.mathematics.numbers.real

Uses of Field in org.episteme.client.client.mathematics.linearalgebra.backends

Constructors in org.episteme.client.client.mathematics.linearalgebra.backends with parameters of type Field

Modifier	Constructor	Description
	GRPCLinearAlgebraBackend(String host, int port, Field<E> field)	Creates a gRPC provider connected to the specified server.

Uses of Field in org.episteme.core.mathematics.algebra.algebras

Methods in org.episteme.core.mathematics.algebra.algebras that return Field

Modifier and Type	Method	Description
Field<E>	MatrixLieAlgebra.getScalarField()	Returns the scalar field.
Field<E>	MatrixLieAlgebra.getScalarRing()

Constructors in org.episteme.core.mathematics.algebra.algebras with parameters of type Field

Modifier	Constructor	Description
	CliffordAlgebra(Field<E> scalarField, int dimension, E[] metric)
	MatrixLieAlgebra(Field<E> field, int n)

Uses of Field in org.episteme.core.mathematics.analysis

Classes in org.episteme.core.mathematics.analysis with type parameters of type Field

Modifier and Type	Interface	Description
interface	VectorFunction<F extends Field<F>>	Represents a function from a vector space to another (F^n -> F^m).

Uses of Field in org.episteme.core.mathematics.linearalgebra.backends

Constructors in org.episteme.core.mathematics.linearalgebra.backends with parameters of type Field

Modifier	Constructor	Description
	ColtBackend(Field<E> field)
	CommonsMathBackend(Field<E> field)
	EJMLBackend(Field<E> field)
	JBlasBackend(Field<E> field)

Uses of Field in org.episteme.core.mathematics.linearalgebra.matrices

Methods in org.episteme.core.mathematics.linearalgebra.matrices that return Field

Modifier and Type	Method	Description
Field<Real>	RealDoubleMatrix.getField()

Uses of Field in org.episteme.core.mathematics.linearalgebra.matrices.solvers

Methods in org.episteme.core.mathematics.linearalgebra.matrices.solvers with parameters of type Field

Modifier and Type	Method	Description
static <E> CholeskyResult<E>	GenericCholesky.decompose(Matrix<E> matrix, Field<E> field, LinearAlgebraProvider<E> provider)
static <E> EigenResult<E>	GenericEigen.decompose(Matrix<E> matrix, Field<E> field, LinearAlgebraProvider<E> provider)
static <E> LUResult<E>	GenericLU.decompose(Matrix<E> matrix, Field<E> field, LinearAlgebraProvider<E> provider)
static <E> QRResult<E>	GenericQR.decompose(Matrix<E> matrix, Field<E> field, LinearAlgebraProvider<E> provider)
static <E> SVDResult<E>	GenericSVD.decompose(Matrix<E> matrix, Field<E> field, LinearAlgebraProvider<E> provider)
static <E> E	GenericLU.determinant(Matrix<E> a, Field<E> field, LinearAlgebraProvider<E> provider)
static <E> Matrix<E>	GenericLU.inverse(Matrix<E> a, Field<E> field, LinearAlgebraProvider<E> provider)
static <E> Vector<E>	GenericCholesky.solve(CholeskyResult<E> c, Vector<E> b, Field<E> field, LinearAlgebraProvider<E> provider)
static <E> Vector<E>	GenericLU.solve(LUResult<E> lu, Vector<E> b, Field<E> field, LinearAlgebraProvider<E> provider)
static <E> Vector<E>	GenericLU.solve(Matrix<E> a, Vector<E> b, Field<E> field, LinearAlgebraProvider<E> provider)
static <E> Vector<E>	GenericQR.solve(QRResult<E> qr, Vector<E> b, Field<E> field, LinearAlgebraProvider<E> provider)

Uses of Field in org.episteme.core.mathematics.linearalgebra.matrices.solvers.sparse

Methods in org.episteme.core.mathematics.linearalgebra.matrices.solvers.sparse with parameters of type Field

Modifier and Type	Method	Description
static <E> Vector<E>	GenericSparseSolvers.bicgstab(SparseLinearAlgebraProvider<E> provider, Matrix<E> A, Vector<E> b, Vector<E> x0, E tolerance, int maxIterations, Field<E> f)
static <E> Vector<E>	GenericSparseSolvers.conjugateGradient(SparseLinearAlgebraProvider<E> provider, Matrix<E> A, Vector<E> b, Vector<E> x0, E tolerance, int maxIterations, Field<E> f)
static <E> Vector<E>	GenericSparseSolvers.gmres(SparseLinearAlgebraProvider<E> provider, Matrix<E> A, Vector<E> b, Vector<E> x0, E tolerance, int maxIterations, int restarts, Field<E> f)

Uses of Field in org.episteme.core.mathematics.linearalgebra.providers

Fields in org.episteme.core.mathematics.linearalgebra.providers declared as Field

Modifier and Type	Field	Description
protected final Field<E>	CPUDenseLinearAlgebraProvider.field

Methods in org.episteme.core.mathematics.linearalgebra.providers with parameters of type Field

Modifier and Type	Method	Description
static <E> Matrix<E>	CPUDenseLinearAlgebraProvider.standardMultiply(Matrix<E> a, Matrix<E> b, Field<E> field, LinearAlgebraProvider<E> provider)

Constructors in org.episteme.core.mathematics.linearalgebra.providers with parameters of type Field

Modifier	Constructor	Description
	CPUDenseLinearAlgebraProvider(Field<E> field)

Uses of Field in org.episteme.core.mathematics.linearalgebra.spaces

Methods in org.episteme.core.mathematics.linearalgebra.spaces that return Field

Modifier and Type	Method	Description
Field<Real>	VectorSpace2D.getScalarField()
Field<Real>	VectorSpace3D.getScalarField()

Uses of Field in org.episteme.core.mathematics.numbers.complex

Classes in org.episteme.core.mathematics.numbers.complex that implement Field

Modifier and Type	Class	Description
final class	Complex	Represents a complex number (â„‚), defined as a + bi where a, b are Real numbers.
class	Octonion	Represents an octonion number (8-dimensional hypercomplex number).
final class	Quaternion	Represents a Quaternion number (H).

Uses of Field in org.episteme.core.mathematics.numbers.rationals

Classes in org.episteme.core.mathematics.numbers.rationals that implement Field

Modifier and Type	Class	Description
final class	Rational	Represents a rational number (â„š), defined as the quotient of two integers.

Uses of Field in org.episteme.core.mathematics.numbers.real

Classes in org.episteme.core.mathematics.numbers.real that implement Field

Modifier and Type	Class	Description
final class	DoubleField	Field implementation for primitive Double wrappers.
class	Real	Abstract base class for real numbers (ℝ).
final class	RealBig	Real number backed by arbitrary-precision BigDecimal.
final class	RealDouble	Real number backed by a 64-bit double.
final class	RealFloat	Real number backed by a 32-bit float.

Uses of Field in org.episteme.core.mathematics.sets

Classes in org.episteme.core.mathematics.sets that implement Field

Modifier and Type	Class	Description
final class	Complexes	The structure of complex numbers (â„‚).
final class	Octonions	The structure of Octonions (O).
final class	Quaternions	The structure of Quaternions (H).
final class	Rationals	The structure of rational numbers (â„š).
final class	Reals	The structure of real numbers (ℝ).

Methods in org.episteme.core.mathematics.sets that return Field

Modifier and Type	Method	Description
Field<E>	SquareMatrices.getScalarField()

Methods in org.episteme.core.mathematics.sets with parameters of type Field

Modifier and Type	Method	Description
static <E> SquareMatrices<E>	SquareMatrices.of(Field<E> scalarField, int dimension)	Returns the SquareMatrices structure for n×n matrices over a field.

Uses of Field in org.episteme.core.mathematics.structures.spaces

Methods in org.episteme.core.mathematics.structures.spaces that return Field

Modifier and Type	Method	Description
default Field<F>	VectorSpace.getScalarField()	Returns the field of scalars.

Uses of Field in org.episteme.nativ.mathematics.numbers.real

Classes in org.episteme.nativ.mathematics.numbers.real that implement Field

Modifier and Type	Class	Description
final class	NativeRealBig	High-precision real number backed by the native MPFR library.