A necessary and sufficient condition for embedding Qprocesses into stochastic processes on permutation groups is obtained by the representation theory and the standard Q-process theory,which extends corresponding result of [3].
利用表示论和Q-过程的标准理论,得到了能将Q-过程嵌入置换群上的随机过程的充要条件,推广了[3]中的相关结论。
To solve the exhibited problems and to investigate the interrelations among these models,a mathematical description of continuum damage model was first established based on the improved stiffness representation theorem.
为了(部分)解决这一问题并考察这些模型之间的内在联系,本文首先发展了连续损伤力学模型的数学表述方法即改进的张度表示理论,引入宏观体积模量和剪切模量方向分布函数,并将相应的球量损伤和偏量损伤方向分布函数展开为宏观损伤变量的傅里叶级数形式,建立了弹性损伤材料刚度张量与宏观损伤变量之间的一般关系式。
Firstly,to(partially) solve the exhibited problems and to investigate the interrelations among these models,a mathematical representation of continuum damage model was established based on the improved stiffness representation theorem.
为了(部分)解决这一问题并考察这些模型之间的内在联系,首先发展了连续损伤力学模型的数学表述方法即改进的张度表示理论,引入宏观体积模量和剪切模量定向分布函数,并将相应的球量损伤和偏量损伤定向分布函数展开为宏观损伤变量的傅里叶级数形式,建立了弹性损伤材料刚度张量与宏观损伤变量之间的一般关系式。
In this paper,group representation theory is employed to simplify the structure of a turbogenerator stator system,and finite element method(FEM) is applied to analysis natural frequencies of 2D and 3D models of a turbogenerator.
本文应用群表示理论简化了汽轮发电机定子系统的结构 ,用有限元方法分析了汽轮发电机定子系统二维和三维两种模型的固有振动特性 ,给出了冷态工况的二维和三维模型的模态 ,同时比较了两种模型的分析结果。
Based on the spectral representation theory and the perturbative expansion method, the general expressions for effective nonlinear responses (χ e and η e) are derived for any complicated micro structures.
利用谱表示理论和微扰展开法 ,从理论上给出了适合于一般微结构复合体系的有效非线性响应的一般表示式 ,并结合有效媒质近似 (EMA) ,在弱非线性条件下研究了由三阶非线性组分 (体积分数为p)和线性组分构成的非线性复合体系的有效非线性响应 ,讨论了复合体系的有效介电常数ε～e =εe+χe｜E0 ｜2 +ηe｜E0 ｜4 中的有效三次非线性响应 χe 和有效高次非线性响应 ηe 与体积分数p和退极化因子L之间的关系 ,分析了非线性组分的介电常数为复数情形时体系的有效高阶非线性响应 ,从理论上说明了组分的高次非线性响应对整个复合体系的有效介电常数的影响 。
Applications of Representation Theory of Algebras to Hopf Algebras;
代数表示论在Hopf代数中的应用
A Study of Irreducible Tensor Basis Method in Group Representation Theory;
群表示论中不可约张量基方法的研究
He remains indifferent in the dispute.
他对争论表示中立。
(grammar) expressing or preceding an inference.
（语法）表示推论或者在推论前面。
Deeds show what we are; words show what we should be.
言论表示我们的未来，而行动显示我们的现状。
However, he said that it is too early to make any comment.
但他又表示，目前作任何结论为时过早。
query a statement, suggestion, conclusion, etc
对一言论、 建议、 决议等表示怀疑
The project seems excellent, but local opinion is against it .
该项目极佳,但地方舆论却表示反对。
The project seem excellent , but local opinion be against It
该项目极佳, 但地方舆论却表示反对
At any rate, it shows our faith and our good will.
无论如何，这表示我们的信用和善意。
Resonance theory says that benzene can be represented by two contributors.
共振论认为苯能用两个参与体表示。
On the Polynomial Representation of (0,l)-Matrix Class
论(0,1)-矩阵类的多项式表示
Research on Spatio-Temporal Representation and Reasoning Based on RCC;
基于RCC理论的时空表示与推理的研究
Administrative Subjects Intention Expressing in Administrative Contract;
试论行政契约中行政主体的意思表示
On Expressing Mistakes of Meaning and Its Reparation in Contradiction;
论缔约中意思表示错误及其救济制度
Inspiration from the Three Representatives on business dealers and managers;
试论“三个代表”对企业管理者的启示
Chinese Characters"被"and "吃" with Sense of Passive Voice in Outlaws of the Marsh;
论《水浒传》中表示被动的“被”和“吃”
Birkhoff s representation for relativistic Chaplygin dynamical systems;
相对论性Chaplygin动力学系统的Birkhoff表示