subspace's Usage Examples:

algebra, a linear subspace, also known as a vector subspace is a vector space that is a subset of some larger vector space.

A linear subspace is usually simply.

the elements of a linear subspace of a vector space produces an affine subspace.

One commonly says that this affine subspace has been obtained by translating.

In the field of mathematics known as functional analysis, the invariant subspace problem is a partially unresolved problem asking whether every bounded.

mathematics, a subspace of a topological space X is a subset S of X which is equipped with a topology induced from that of X called the subspace topology (or.

C ⊆ X such that A is dense in B and B is dense in C (in the respective subspace topology) then A is also dense in C.

sometimes used as a synonym for compact space, but often refers to a compact subspace of a topological space as well.

methods are the stationary iterative methods, and the more general Krylov subspace methods.

Two vector subspaces, A and B, of an inner product space V, are called orthogonal subspaces if each vector in A is orthogonal to.

In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.

In the Star Trek fictional universe, subspace is a feature of space-time that facilitates faster-than-light transit,.

dimension n is defined as the set of the vector lines (that is, vector subspaces of dimension one) in a vector space V of dimension n + 1.

{\displaystyle \operatorname {rec} A\cap \operatorname {rec} B} is a linear subspace.

Multilinear subspace learning is an approach to dimensionality reduction.

In geometry, a flat or Euclidean subspace is a subset of a Euclidean space that is itself a Euclidean space (of lower dimension).

It allows the extension of bounded linear functionals defined on a subspace of some vector space to the whole space, and it also shows that there are.

number of possible values with each dimension, complete enumeration of all subspaces becomes intractable with increasing dimensionality.

Suppose the subspaces U {\displaystyle U} and V {\displaystyle V} are the range and kernel of.

Synonyms:

topological space; mathematical space;