Uses of Interface
org.episteme.core.mathematics.structures.spaces.Module

Packages that use Module

Package	Description
org.episteme.core.mathematics.algebra	Defines fundamental algebraic concepts:
org.episteme.core.mathematics.algebra.algebras
org.episteme.core.mathematics.algebra.spaces
org.episteme.core.mathematics.geometry
org.episteme.core.mathematics.linearalgebra
org.episteme.core.mathematics.linearalgebra.matrices
org.episteme.core.mathematics.linearalgebra.spaces
org.episteme.core.mathematics.linearalgebra.vectors
org.episteme.core.mathematics.structures.spaces
org.episteme.nativ.mathematics.linearalgebra.matrices
org.episteme.nativ.mathematics.linearalgebra.vectors

Uses of Module in org.episteme.core.mathematics.algebra

Subinterfaces of Module in org.episteme.core.mathematics.algebra

Modifier and Type	Interface	Description
interface	Algebra<E,F>	An algebra over a field is a vector space equipped with a bilinear product.
interface	NonAssociativeAlgebra<E,S>	A non-associative algebra over a field (or ring).

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

Subinterfaces of Module in org.episteme.core.mathematics.algebra.algebras

Modifier and Type	Interface	Description
interface	BanachAlgebra<E,F>	Represents a Banach algebra - a complete normed algebra.
interface	CStarAlgebra<E,F>	Represents a C*-algebra (C-star algebra).
interface	GradedAlgebra<E,F>	Represents a graded algebra - an algebra that can be decomposed into a direct sum of subspaces indexed by a grading group (typically integers).
interface	LieAlgebra<E,S>	Represents a Lie Algebra.

Classes in org.episteme.core.mathematics.algebra.algebras that implement Module

Modifier and Type	Class	Description
class	MatrixLieAlgebra<E>	A concrete Lie Algebra where elements are square matrices and the bracket is the commutator [A, B] = AB - BA.

Uses of Module in org.episteme.core.mathematics.algebra.spaces

Subinterfaces of Module in org.episteme.core.mathematics.algebra.spaces

Modifier and Type	Interface	Description
interface	BanachSpace<E,S>	Represents a Banach Space.
interface	HilbertSpace<E,S>	Represents a Hilbert Space.

Uses of Module in org.episteme.core.mathematics.geometry

Classes in org.episteme.core.mathematics.geometry that implement Module

Modifier and Type	Class	Description
final class	Vector2D	A 2D vector in Euclidean space. * @author Silvere Martin-Michiellot
class	Vector3D	Represents a 3D vector.
class	Vector4D	Represents a 4D vector, typically used for spacetime coordinates (ct, x, y, z).
class	VectorND	Represents an N-dimensional geometric vector.

Uses of Module in org.episteme.core.mathematics.linearalgebra

Subinterfaces of Module in org.episteme.core.mathematics.linearalgebra

Modifier and Type	Interface	Description
interface	Matrix<E>	Represents a matrix of scalar elements.
interface	Vector<E>	Represents a vector in a vector space.

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

Classes in org.episteme.core.mathematics.linearalgebra.matrices that implement Module

Modifier and Type	Class	Description
class	DenseMatrix<E>	A dense matrix implementation.
class	GenericMatrix<E>	A generic matrix implementation with smart storage and provider selection.
class	MMapMatrix	Memory-Mapped Matrix implementation for Out-of-Core processing.
class	RealDoubleMatrix	A specialized Matrix implementation for Doubles with SIMD and Native optimization.
class	SIMDRealDoubleMatrix	SIMD-accelerated Matrix implementation using JDK Vector API.
class	SIMDRealFloatMatrix	SIMD-accelerated Matrix implementation using JDK Vector API for Float (Single) precision.
class	SparseMatrix<E>	A sparse matrix implementation.
class	TiledMatrix<E>	A matrix decomposed into smaller tiles (blocks).

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

Classes in org.episteme.core.mathematics.linearalgebra.spaces that implement Module

Modifier and Type	Class	Description
class	VectorSpace2D	2D Vector Space.
class	VectorSpace3D	3D Vector Space.

Uses of Module in org.episteme.core.mathematics.linearalgebra.vectors

Classes in org.episteme.core.mathematics.linearalgebra.vectors that implement Module

Modifier and Type	Class	Description
class	DenseVector<E>	A dense vector implementation.
class	GenericVector<E>	A generic vector implementation using abstract storage and provider delegation.
class	RealDoubleVector	An optimized Vector implementation for Real numbers.
class	RealFloatVector	An optimized Vector implementation for Single-Precision Real numbers.
class	SparseVector<E>	A sparse vector implementation.

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

Subinterfaces of Module in org.episteme.core.mathematics.structures.spaces

Modifier and Type	Interface	Description
interface	VectorSpace<V,F>	A vector space is a module over a field.

Uses of Module in org.episteme.nativ.mathematics.linearalgebra.matrices

Classes in org.episteme.nativ.mathematics.linearalgebra.matrices that implement Module

Modifier and Type	Class	Description
class	NativeRealDoubleMatrix	High-performance Real Double Matrix backed by a persistent native MemorySegment.
class	NativeRealFloatMatrix	High-performance Real Float Matrix backed by a persistent native MemorySegment.

Uses of Module in org.episteme.nativ.mathematics.linearalgebra.vectors

Classes in org.episteme.nativ.mathematics.linearalgebra.vectors that implement Module

Modifier and Type	Class	Description
class	NativeRealDoubleVector	High-performance Real Double Vector backed by a persistent native MemorySegment.