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Equivariant map

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…

Examples, Generalization & Formalization

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Formalization

Generalization

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Equivariant map

Nodes68
Edges67
Triples21
Avg. degree1.97
Density0.029412
Components1

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Equivariant map

Top relations

related to Generalization · 11
Equivariant map → CG, Equivariant, Every, For, G-set, Given, Set, Such, This, Using, VectK
see also · 3
Equivariant map → Curtis, Hedlund, Lyndon

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Important terminology

equivariant group transformations map symmetry category equivariance invariant also triangle representations function intertwiner action maps representation functions area perimeter functor

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the centroidinstance oftriangle centers0.80text
circumcenterinstance oftriangle centers0.80text
incenterinstance oftriangle centers0.80text
orthocenter are not invariantinstance oftriangle centers0.80text
because moving a triangle will also cause its centers to moveinstance oftriangle centers0.80text
exponentials.The median of a sample is equivariant for a much larger group of transformationsinstance ofthe mean is not equivariant with respect to nonlinear transformations0.80text
theinstance ofthe mean is not equivariant with respect to nonlinear transformations0.80text
Equivariant maprelated to GeneralizationEquivariant0.60section
Equivariant maprelated to GeneralizationEvery0.60section
Equivariant maprelated to GeneralizationGiven0.60section
Equivariant maprelated to GeneralizationSuch0.60section
Equivariant maprelated to GeneralizationFor0.60section

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    Min side: 3
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