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Circle group and N-sphere

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

Difference between Circle group and N-sphere

Circle group vs. N-sphere

In mathematics, the circle group, denoted by T, is the multiplicative group of all complex numbers with absolute value 1, that is, the unit circle in the complex plane or simply the unit complex numbers The circle group forms a subgroup of C×, the multiplicative group of all nonzero complex numbers. In mathematics, the n-sphere is the generalization of the ordinary sphere to spaces of arbitrary dimension.

Similarities between Circle group and N-sphere

Circle group and N-sphere have 7 things in common (in Unionpedia): Closed set, Connected space, Manifold, Mathematics, Orthogonal group, Real number, Torus.

Closed set

In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set.

Circle group and Closed set · Closed set and N-sphere · See more »

Connected space

In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint nonempty open subsets.

Circle group and Connected space · Connected space and N-sphere · See more »

Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

Circle group and Manifold · Manifold and N-sphere · See more »

Mathematics

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

Circle group and Mathematics · Mathematics and N-sphere · See more »

Orthogonal group

In mathematics, the orthogonal group in dimension, denoted, is the group of distance-preserving transformations of a Euclidean space of dimension that preserve a fixed point, where the group operation is given by composing transformations.

Circle group and Orthogonal group · N-sphere and Orthogonal group · See more »

Real number

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

Circle group and Real number · N-sphere and Real number · See more »

Torus

In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.

Circle group and Torus · N-sphere and Torus · See more »

The list above answers the following questions

Circle group and N-sphere Comparison

Circle group has 69 relations, while N-sphere has 68. As they have in common 7, the Jaccard index is 5.11% = 7 / (69 + 68).

References

This article shows the relationship between Circle group and N-sphere. To access each article from which the information was extracted, please visit:

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