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Symmetric set
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・ Symmetric space (disambiguation)
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・ Symmetric successive overrelaxation
・ Symmetric tensor
・ Symmetric Turing machine
・ Symmetric variety
・ Symmetric-key algorithm
・ Symmetrical All Wheel Drive
・ Symmetrical components
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Symmetric set : ウィキペディア英語版
Symmetric set
In mathematics, a nonempty subset ''S'' of a group ''G'' is said to be symmetric if
:S=S^
where S^ = \. In other words, ''S'' is symmetric if x^ \in S whenever x \in S.
If ''S'' is a subset of a vector space, then ''S'' is said to be symmetric if it is symmetric with respect to the additive group structure of the vector space; that is, if S = -S = \.
==Examples==

* In R, examples of symmetric sets are intervals of the type (-k, k) with k > 0, and the sets Z and \.
* Any vector subspace in a vector space is a symmetric set.
* If ''S'' is any subset of a group, then SS^ and S^S are symmetric sets.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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