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Linear subspace and Orthogonality

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Linear subspace and Orthogonality

Linear subspace vs. Orthogonality

In linear algebra and related fields of mathematics, a linear subspace, also known as a vector subspace, or, in the older literature, a linear manifold, is a vector space that is a subset of some other (higher-dimension) vector space. In mathematics, orthogonality is the generalization of the notion of perpendicularity to the linear algebra of bilinear forms.

Similarities between Linear subspace and Orthogonality

Linear subspace and Orthogonality have 8 things in common (in Unionpedia): Function (mathematics), If and only if, Inner product space, Linear algebra, Mathematics, Orthogonal complement, Pseudo-Euclidean space, Vector space.

Function (mathematics)

In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

Function (mathematics) and Linear subspace · Function (mathematics) and Orthogonality · See more »

If and only if

In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.

If and only if and Linear subspace · If and only if and Orthogonality · See more »

Inner product space

In linear algebra, an inner product space is a vector space with an additional structure called an inner product.

Inner product space and Linear subspace · Inner product space and Orthogonality · See more »

Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.

Linear algebra and Linear subspace · Linear algebra and Orthogonality · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Linear subspace and Mathematics · Mathematics and Orthogonality · See more »

Orthogonal complement

In the mathematical fields of linear algebra and functional analysis, the orthogonal complement of a subspace W of a vector space V equipped with a bilinear form B is the set W⊥ of all vectors in V that are orthogonal to every vector in W. Informally, it is called the perp, short for perpendicular complement.

Linear subspace and Orthogonal complement · Orthogonal complement and Orthogonality · See more »

Pseudo-Euclidean space

In mathematics and theoretical physics, a pseudo-Euclidean space is a finite-dimensional ''n''-space together with a non-degenerate quadratic form.

Linear subspace and Pseudo-Euclidean space · Orthogonality and Pseudo-Euclidean space · See more »

Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

Linear subspace and Vector space · Orthogonality and Vector space · See more »

The list above answers the following questions

Linear subspace and Orthogonality Comparison

Linear subspace has 73 relations, while Orthogonality has 125. As they have in common 8, the Jaccard index is 4.04% = 8 / (73 + 125).

References

This article shows the relationship between Linear subspace and Orthogonality. To access each article from which the information was extracted, please visit:

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