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unitary invariant的中文,翻译,解释,例句

unitary invariant

unitary invariant的基本解释
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酉不变量

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Based on definition of orthogonal counterbalance, authors definite the unitary counterbalance of matrix and prove the unitary counterbalance properties of unitary symmetric matrix and it s mother matrix, obtain some results as the Moore-Penrose inverses of unitary symmetric matrices are unitary counterbalance if unitary symmetric matrices are unitary counterbalance .

从矩阵正交相抵的概念出发,给出了矩阵酉相抵的概念,证明了酉对称矩阵与母矩阵之间的酉相抵性,得到了酉相抵矩阵的Moore Penrose逆等一些新的结论。

By applying these two tools,we mainly discuss the problems as follows:1 Perturbation identities for the generalized polar decomposition:By applying singular value decomposition, we study the perturbation bounds of the generalized polar decomposition under unitary invariant norms when A is perturbed by addition or multiplication,respectively and give our bounds in identities.2 A class of new unitary invariant metrics: This paper generalized a class of new unitarily invariant metrics and give the upper-bounds and lower-bounds by C-S decomposition.

利用这两个强有力的工具,本文主要讨论了如下问题:1 矩阵广义极分解的扰动等式:利用奇异值分解,本文分别讨论了加法扰动和乘法扰动下矩阵广义极分解在任意酉不变范数下的扰动界,并首次以恒等式的形式给出了酉极因子和半正定因子的扰动界。2 一类新的酉不变度量:本文推广了文[22] 中的结论,定义了一类新的酉不变度量。

Unitary linear regression is done between w~e、 w~ρ、 e~ρ、w_L~w_P. For α_v 、 C_ c between w、ρ、 e、 w_P in eastern China, unitary linear regression is done to silty clay as well as multivariant regression with coefficient iteration method and least-squares procedure are done to all kinds of soil, and the two results are compared. Unitary linear regression and multivariant regression are done to c_q、φ、 c_d、φ_d between e and I_P. Unitary linear regression and multivariant linear regression are done to napierian logarithm of q_u between e 、 I_L、 w_P and w_L, then the equations of regression are checked with other parameters.

对物理指标含水量~孔隙比、含水量~湿密度、孔隙比~湿密度、液限~塑限作了一元线性回归;对华东地区粉质粘土的压缩系数、压缩指数和含水量、湿密度、孔隙比及塑性指数作了一元线性回归;对华东地区所有土类的压缩系数、压缩指数和物理性质参数用系数迭代法和最小二乘法作了多元线性和非线性回归,并对两种方法得到的回归结果作了比较;作了快剪强度指标和固结快剪强度指标关于孔隙比和塑性指数的一元线性回归和多元线性及非线性回归;对无侧限抗压强度的自然对数值和孔隙比、液性指数、液限及塑限作了一元和多元线性回归,并用其它工程的参数对回归方程进行了检验。

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unitary invariant:酉不变量

unitary homomorphism 单式同态 | unitary invariant 酉不变量 | unitary matrix 酉矩阵