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Chain complex and Differential form

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

Difference between Chain complex and Differential form

Chain complex vs. Differential form

In mathematics, a chain complex is an algebraic structure that consists of a sequence of abelian groups (or modules) and a sequence of homomorphisms between consecutive groups such that the image of each homomorphism is included in the kernel of the next. In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates.

Similarities between Chain complex and Differential form

Chain complex and Differential form have 8 things in common (in Unionpedia): Abelian group, Differentiable manifold, Differential geometry, Exterior derivative, Homology (mathematics), Homotopy, Mathematics, Vector space.

Abelian group

In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.

Abelian group and Chain complex · Abelian group and Differential form · See more »

Differentiable manifold

In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a linear space to allow one to do calculus.

Chain complex and Differentiable manifold · Differentiable manifold and Differential form · See more »

Differential geometry

Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in geometry.

Chain complex and Differential geometry · Differential form and Differential geometry · See more »

Exterior derivative

On a differentiable manifold, the exterior derivative extends the concept of the differential of a function to differential forms of higher degree.

Chain complex and Exterior derivative · Differential form and Exterior derivative · See more »

Homology (mathematics)

In mathematics, homology is a general way of associating a sequence of algebraic objects such as abelian groups or modules to other mathematical objects such as topological spaces.

Chain complex and Homology (mathematics) · Differential form and Homology (mathematics) · See more »

Homotopy

In topology, two continuous functions from one topological space to another are called homotopic (from Greek ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions.

Chain complex and Homotopy · Differential form and Homotopy · See more »

Mathematics

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

Chain complex and Mathematics · Differential form and Mathematics · 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.

Chain complex and Vector space · Differential form and Vector space · See more »

The list above answers the following questions

Chain complex and Differential form Comparison

Chain complex has 48 relations, while Differential form has 118. As they have in common 8, the Jaccard index is 4.82% = 8 / (48 + 118).

References

This article shows the relationship between Chain complex and Differential form. To access each article from which the information was extracted, please visit:

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