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Manifold and Sophus Lie

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

Difference between Manifold and Sophus Lie

Manifold vs. Sophus Lie

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. Marius Sophus Lie (17 December 1842 – 18 February 1899) was a Norwegian mathematician.

Similarities between Manifold and Sophus Lie

Manifold and Sophus Lie have 7 things in common (in Unionpedia): Geometry, Group (mathematics), Group action, Hermann Weyl, Lie group, Mathematics, Vector field.

Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

Group (mathematics) and Manifold · Group (mathematics) and Sophus Lie · See more »

Group action

In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.

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Hermann Weyl

Hermann Klaus Hugo Weyl, (9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist and philosopher.

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Lie group

In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.

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Mathematics

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

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Vector field

In vector calculus and physics, a vector field is an assignment of a vector to each point in a subset of space.

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The list above answers the following questions

Manifold and Sophus Lie Comparison

Manifold has 286 relations, while Sophus Lie has 57. As they have in common 7, the Jaccard index is 2.04% = 7 / (286 + 57).

References

This article shows the relationship between Manifold and Sophus Lie. To access each article from which the information was extracted, please visit:

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