英语词汇Symplectic transformation怎么读，是什么意思，单词翻译、读音、固定搭配用法和短语词组及例句-英汉双解词典

　

单词	Symplectic transformation
释义	Symplectic transformation 英语例句库 The decomposition of symplectic transformation about symplectic transvection over local rings by theory of defective number and residue number is discussed. 研究了局部环上辛变换的辛平延,利用亏失数、剩余数的理论,讨论了局部环上辛变换关于辛平延的分解。中文百科辛矩阵 Symplectic matrix （重定向自Symplectic transformation）在数学中，辛矩阵是指一个 $2n \times 2n$ 的矩阵M（通常布于实数或复数域上），使之满足 $M^T \Omega M = \Omega\,$ 。其中 $M^T$ 表 $M$ 的转置矩阵，而 $\Omega$ 是一个固定的可逆斜对称矩阵；这类矩阵在适当的变化后皆能表为 $\Omega = \begin{bmatrix} 0 & I_n \\ -I_n & 0 \\ \end{bmatrix}$ 或 $\Omega = \begin{bmatrix} \begin{matrix}0 & 1\\ -1 & 0\end{matrix} & & 0 \\ & \ddots & \\ 0 & & \begin{matrix}0 & 1 \\ -1 & 0\end{matrix} \end{bmatrix}$ 两者的差异仅在于基的置换，其中 $I_n$ 是 $n \times n$ 单位矩阵。此外， $\Omega$ 行列式值等于一，且其逆矩阵等于 $-\Omega$ 。英语百科 Symplectic matrix 辛矩阵（重定向自Symplectic transformation） In mathematics, a symplectic matrix is a 2n×2n matrix M with real entries that satisfies the condition $M^\text{T} \Omega M = \Omega\,,$ (1) where M denotes the transpose of M and Ω is a fixed 2n×2n nonsingular, skew-symmetric matrix. This definition can be extended to 2n×2n matrices with entries in other fields, e.g. the complex numbers.
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