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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 Unitary transformation ： ウィキペディア英語版 Unitary transformation In mathematics, a unitary transformation is a transformation that preserves the inner product: the inner product of two vectors before the transformation is equal to their inner product after the transformation. ==Formal definition== More precisely, a unitary transformation is an isomorphism between two Hilbert spaces. In other words, a ''unitary transformation'' is a bijective function :$U:H\_1\backslash to\; H\_2\backslash ,$ where $H\_1$ and $H\_2$ are Hilbert spaces, such that :$\backslash langle\; Ux,\; Uy\; \backslash rangle\_\; =\; \backslash langle\; x,\; y\; \backslash rangle\_$ for all $x$ and $y$ in $H\_1$. 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「Unitary transformation」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.