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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 addition, the connection of complex matrices and complex symmetric matrices , namely every complex matrix is similar to a complex symmetric matrix, is found.

另外，本文找出了复对称矩阵与一般的复矩阵的关系，即每个复矩阵都相似一个复对称矩阵。

Starting from the lighter Mg atom, the both cases in which the autoionizing states are excited from the spherically symmetric and non-spherically symmetric Rydberg targets were investigated with different physical models.

从较轻的Mg原子入手，分别针对球对称靶的和轴对称靶这两种情况，采取不同的物理模型对其自电离弹射电子的能量分布进行了深入的理论研究。

Using the statistical entropy of the spinning gravitation field of static spherically symmetric black hole,the radiant emittance of static spherically symmetric black hole is calculated,and we obtain a conclusin that the radiant emittance of black hole is proportionate to quartic power of temperature of the event horizon of the black hole.

利用静态球对称黑洞引力自旋场的统计熵，导出静态球对称黑洞引力自旋场的辐出度，得到了黑洞的辐出度与黑洞视界温度的四次方成正比的结论。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。