翻訳と辞書
Words near each other
・ symbolic automatic integrator
・ symbolic inference
・ symbolic link
・ symbolic logic
・ symbolic mathematical laboratory
・ symbolic mathematics
・ symbolic optimal assembly program
・ symbolic optimum deuce assembly program
・ symbolics, inc.
・ symlink
symmetric
・ symmetric key cryptography
・ symmetric lisp
・ symmetric multiprocessing
・ symmetric multiprocessor
・ symphony
・ sympl
・ syn
・ sync
・ synchronized multimedia integration language


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

symmetric : FOLDOC
symmetric
1. A relation R is symmetric if, for all x and y,
x R y => y R x

If it is also antisymmetric (x R y & y R x => x == y) then x R y => x == y, i.e. no two different elements are related.
2. In {linear algebra}, a member of the tensor product of a vector space with itself one or more times, is symmetric if it is a fixed point of all of the {linear isomorphisms} of the tensor product generated by {permutations} of the ordering of the copies of the vector space as factors. It is said to be antisymmetric precisely if the action of any of these linear maps, on the given tensor, is equivalent to multiplication by the sign of the permutation in question.
(1996-09-22)



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.