What does equivariant mean?

Definitions for equivariant
equi·vari·ant

This dictionary definitions page includes all the possible meanings, example usage and translations of the word equivariant.


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Wiktionary

  1. equivariantadjective

    Not affected by a specified group action.

    uE000396923uE001 is equivariant with respect to uE000396924uE001: for every uE000396925uE001 in uE000396926uE001, uE000396927uE001, where uE000396928uE001 and uE000396929uE001 are actions on different sets of the same group.

Wikipedia

  1. equivariant

    In mathematics, equivariance is a form of symmetry for functions from one space with symmetry to another (such as symmetric spaces). A function is said to be an equivariant map when its domain and codomain are acted on by the same symmetry group, and when the function commutes with the action of the group. That is, applying a symmetry transformation and then computing the function produces the same result as computing the function and then applying the transformation. Equivariant maps generalize the concept of invariants, functions whose value is unchanged by a symmetry transformation of their argument. The value of an equivariant map is often (imprecisely) called an invariant. In statistical inference, equivariance under statistical transformations of data is an important property of various estimation methods; see invariant estimator for details. In pure mathematics, equivariance is a central object of study in equivariant topology and its subtopics equivariant cohomology and equivariant stable homotopy theory.

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Numerology

  1. Chaldean Numerology

    The numerical value of equivariant in Chaldean Numerology is: 6

  2. Pythagorean Numerology

    The numerical value of equivariant in Pythagorean Numerology is: 2

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"equivariant." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/equivariant>.

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