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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Symplectic basis ： ウィキペディア英語版 Symplectic basis In linear algebra, a standard symplectic basis is a basis $\_i,\; \_i$ of a symplectic vector space, which is a vector space with a nondegenerate alternating bilinear form $\backslash omega$, such that $\backslash omega(\_i,\; \_j)\; =\; 0\; =\; \backslash omega(\_i,\; \_j),\; \backslash omega(\_i,\; \_j)\; =\; \backslash delta\_$. A symplectic basis of a symplectic vector space always exists; it can be constructed by a procedure similar to the Gram–Schmidt process.〔Maurice de Gosson: ''Symplectic Geometry and Quantum Mechanics'' (2006), p.7 and pp. 12–13〕 The existence of the basis implies in particular that the dimension of a symplectic vector space is even if it is finite. == See also == *Darboux theorem *Symplectic frame bundle *Symplectic spinor bundle *Symplectic vector space 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Symplectic basis」の詳細全文を読む 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.