查询词典 skew-symmetric

It is proved by this commutable diagram that the invertibility of a generalized symmetric system is equivalent to that of the quotient system, which makes the verification of the invertibility of generalized symmetric systems much easier.

利用这个交换图证明了广义对称系统的可逆性等价于其商系统的可逆性，从而使可逆性的检验大为简单。

Particularly, the weight configuration matrix is not necessarily symmetric or irreducible, and the inner-coupling matrix need not be symmetric.

特别地，文中的构形矩阵不必要是对称或不可约阵，内部耦合阵也不必为对称阵。

In Chapter 6, the symmetric ortho-symmetric solution of the matrix equation AXAT = Bon the linear manifold S ={X 6 SPRnxn\XZ = Y, ZjYt = Y?

运用矩阵对的标准相关分解，给出了上述两类线性流形上矩阵方程A~TXA=B的双对称最小二乘解的通解表达式。

In Chapter 2, the D-symmetric solutions of matrix equation A~TXA = B on the linear manifold S ={X ∈ D~(-2)SR~|XZ = Y, Y = Y{D~2Z+D~2Z, Z~TD~2Y = Y~TD~2Z, Y,Z∈ R~}, by applying the generalized singular value decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the D-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

运用矩阵对的广义奇异值分解，给出了这类线性流形上矩阵方程A~TXA=B存在D对称解的充要条件及其通解的表达式。另外给出了它的D对称最小二乘解的表达式。

In Chapter 4, the centro-symmetric solutions of matrix equation A~TXA = B on the linear manifold S ={X ∈ CSR~|||XY - Z||= min, Y,Z ∈ R~|}, using the quotient singular value decomposition of matrix pairs, the necessary and sufficient conditions for the existence and the expressions for the centro-symmetric solutions of matrix equation A~TXA = B on the linear manifold are established.

利用矩阵对的商奇异值分解，给出了这类线性流形上矩阵方程A~TXA=B存在中心对称解的充要条件及其通解表达式。

In this paper gravitational mass defect in static and spherically symmetric metric discussed by Ghose and Kumar is extended to the case of charged, static and spherically symmetric metric (Reissner-NordstrSm metric).

本文把Ghosc和Kumer在球对称、静态引力场(Schwarzchild度规)中讨论的引力质量亏损推广到荷电、静态、球对称场(Reissner-Nordstrm度规)中，并计算了亏损以后的质量M随初始质量M_0、荷质比α和半径r的各种变化曲线。

In really society,there are many examples of symmetric game ,therefore,it is of greater significace in theory and practice for studying the properties of symmetric game and getting the solution of common matrix game from special ones to general ones.

在现实世界中，有许多对称对策的实例，因此，研究对称对策的性质，再由特殊到一般得到一般矩阵对策的解法，有着较大的理论和实际意义。

Advanced edition additionally supports QR and Singular Value decompositions, Eigenvalue and Eigenvector computation for symmetric and non symmetric matrices.

高级版此外支持的QR和奇异值分解，特征值和特征向量计算对称和非对称矩阵。

Flat plate steady mathematical model and non steady symmetric model are presented, the analytical solution of temperature of powder is derived on the basis of non steady symmetric model in spheroidal coordinates with the methods of mathematical transformation and principle of superposition .

对点火问题进行研究，给出了两种点火的数学模型；平板定常模型和球对称非定常模型。从火药颗粒的球对称非定常模型出发，利用叠加原理和数学变换导出了火药颗粒表面温度的分析解。该研究对深入研究点火理论和起始弹道学有一定的作

In the first part, we shall prove several inequalities involving symmetric positive semidefinite, general M-matrices and inverse M-matrice which are generalization of the classical Oppenheim s Inequality for symmetric positive semidefinite matrices.

第一个部分给出了半正定矩阵，一般的M-矩阵以及逆M-矩阵的一些相关不等式，而这些不等式都是有关半正定矩阵的经典的Oppenheim不等式的推广。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。