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Inner product space and Vector field

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

Difference between Inner product space and Vector field

Inner product space vs. Vector field

In linear algebra, an inner product space is a vector space with an additional structure called an inner product. In vector calculus and physics, a vector field is an assignment of a vector to each point in a subset of space.

Similarities between Inner product space and Vector field

Inner product space and Vector field have 8 things in common (in Unionpedia): Differential form, Dual space, Euclidean space, Linear form, Orthogonal matrix, Real number, Riemannian manifold, Space (mathematics).

Differential form

In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates.

Differential form and Inner product space · Differential form and Vector field · See more »

Dual space

In mathematics, any vector space V has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V, together with the vector space structure of pointwise addition and scalar multiplication by constants.

Dual space and Inner product space · Dual space and Vector field · See more »

Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

Euclidean space and Inner product space · Euclidean space and Vector field · See more »

Linear form

In linear algebra, a linear functional or linear form (also called a one-form or covector) is a linear map from a vector space to its field of scalars.

Inner product space and Linear form · Linear form and Vector field · See more »

Orthogonal matrix

In linear algebra, an orthogonal matrix is a square matrix whose columns and rows are orthogonal unit vectors (i.e., orthonormal vectors), i.e. where I is the identity matrix.

Inner product space and Orthogonal matrix · Orthogonal matrix and Vector field · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Inner product space and Real number · Real number and Vector field · See more »

Riemannian manifold

In differential geometry, a (smooth) Riemannian manifold or (smooth) Riemannian space (M,g) is a real, smooth manifold M equipped with an inner product g_p on the tangent space T_pM at each point p that varies smoothly from point to point in the sense that if X and Y are differentiable vector fields on M, then p \mapsto g_p(X(p),Y(p)) is a smooth function.

Inner product space and Riemannian manifold · Riemannian manifold and Vector field · See more »

Space (mathematics)

In mathematics, a space is a set (sometimes called a universe) with some added structure.

Inner product space and Space (mathematics) · Space (mathematics) and Vector field · See more »

The list above answers the following questions

Inner product space and Vector field Comparison

Inner product space has 106 relations, while Vector field has 92. As they have in common 8, the Jaccard index is 4.04% = 8 / (106 + 92).

References

This article shows the relationship between Inner product space and Vector field. To access each article from which the information was extracted, please visit:

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