查询词典 symmetric difference

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。

Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method.

两新章对待匀称的模糊的系统和歪斜失真对称系统和非线性的系统和牛顿的方法。

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 theory of orthogonal symmetric polynomials (Jack polynomials, Macdonald's polynomials and others) and multivariate hypergeometric functions associated to symmetric polynomials are treated.

对称的正交多项式理论（杰克多项式，麦克唐纳的多项式等）及相关的多元对称多项式超几何函数的待遇。

In this paper, we give explicit constructions and formulations for harmonic maps from R1,1 into classical real semisimple Lie groups by using Darboux transformation. We also discuss pluriharmonic maps from complex manifoldsinto symmetric spaces and Willmore surfaces in Sn. By converting geometric conditions satisfied by these maps into integrable systems, and using the the-ory of integrable systems, we give explicit constructions for pluriharmonic maps from complex manifolds into symmetric spaces and the Willmore surfaces in Sn respectively. Finally, we classify hypersurfaces in Sn+1 with three distinct prin-ciple curvatures and zero Mobius form using the theory of Mobius geometry. The paper consists of four chapters.

本文首先利用Darboux变换的方法给出了从Lorentz平面R~(1，1)到经典实半单Lie群的调和映照的具体构造，并给出其显式表示；其次研究了复流形到对称空间的多重调和映照及球空间S~n中Willmore曲面，将这些映照所满足的几何条件转化为可积系统，然后利用可积系统理论分别给出复流形到对称空间的多重调和映照与S~n中Willmore曲面的构造；最后利用Mōbius几何的理论给出S~(n+1)中具有三个不同主曲率且Mōbius形式为零的超曲面的分类。

This paper mainly discusses a kind of indefinite stochastic linear quadratic optimal control problem with incomplete data, which can be described as: Minimize subject to Here Q, F are indefinite symmetric matrices,R is a positive semidefinite symmetric matrix.

本文主要讨论的是一类部分信息下的不定随机LQ问题，其形式如下：这里Q，F为不定对称矩阵，R为非负对称矩阵。

Lastly, we study the conditions of linearization for symmetric system, from which we can see that a symmetric system is linearizable on manifold M if and only if this system is linearizable on quotient manifold M/G.

最后讨论了对称非线性系统线性化问题，从中可以看出对于具有对称性的非线性系统只要在商流形M／G上能满足线性化条件即能保证在整个流形M上能线性化。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。