In this paper,we propose a reduced linear representation of such distribution based on the formal power series on free monoid which can be easily used to calculate the probability distribution.
该文利用自由幺半群上的有理形式幂级数理论,构造出该概率分布的约化线性表示,从而完全解决了噪声变量的概率分布计算问题。
We use a set of basic functions to generate a 3-D reducible representation of D3 point group.
应用函数组建立表示的方法得到Ｄ３点群的一个３维可约表示，并完全约化成不可约表示的直接和，从而建立了新的函数组。
So that we can use irreducible representation of SU(2) symmetry to classry energy elgenvalues.
本文介绍了简单Hükel模型,讨论了线性共轭聚合物CnHn+2中的SU(2)对称,并从理论上说明,我们可以用H0=αN+βJZ,近似代替H=αN+βq,r′qr,以便用SU(2)群的不可约表示分类能量本征态,从而将通常量子力学中的群论方法用到聚乙稀共轭分子上。
The Helmholtz free energy expansion of the Rochelle salt crystal is obtained by the basis function of the irreducible representations ofthe paraelectric phase group D2.
利用罗息盐晶体顺电相所属晶体点群-D2群不可约表示的基函数,构造出该晶体亥姆霍兹自由能展开式。
Many of the important applications of complex Clifford algebra come from the irreducible representation of complex Clifford algebra.
有关复 Clifford代数的许多重要应用来源于复 Clifford代数的不可约表示。
Irreducible Representations of Jacobson-Witt Algebra;
Jacobson-Witt代数的不可约表示
Irreducible Representation of D(kS_3) and Ring Structures of Its Grothendieck Group;
D（kS_3）的不可约表示与Grothendieck群的环结构
The Geometric Explanation For Orthogonality Of Irreducible Representation Of Finite Group;
有限群不可约表示正交性的几何解释
Irreducible representation of a class of path Hopf coalgebra
一类Hopf路余代数的不可约表示
Irreducible Representations of Cartan-type Lie Algebras
Cartan型李代数的不可约表示
Irreducible Representations of Graded Cartan Type Special Algebra S(m;n);
阶化Cartan型特殊代数S（m;n）的不可约表示
It is easy to prove that the irreducible representation of finite group satisfies orthogonal relation through the usage of Schur Lemma.
利用舒尔引理，很容易证明有限群的不可约表示满足正交关系。
Irreducible Representations of Generalized Witt Algebra W(3,1) in Characteristic 2;
特征为2的域上的广义Witt代数W（3，1）的不可约表示
sufficiently many irreducible unitary representations
充分多的不可约酉表示
The Irredncible Integrable Representation of Generalized Toroidal Lie Superalgebra
广义Toroidal李超代数的不可约可积表示
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
Some recent progress in understanding the unitary dual of a Lie group
李群不可约酉表示的分类问题与最新进展
States may express their consent to be bound by this Convention by:
各国可按照下列方式表示同意接受本公约的约束：
The registered capital of a joint venture shall in general be expressed in Renminbi. It may also be expressed in a foreign currency agreed to by the parties to the venture.
合营企业的注册资本一般应以人民币表示，也可以用合营各方约定的外币表示。
An offer may be so expressed as to come to an end on the occurence of a condition.
一个要约可以明确地表示在条件或就时走向终结。
An acceptance is a statement made by the offeree indicating assent to an offer.
承诺是受要约人同意要约的意思表示.
An acceptance is the offeree's manifestation of intention to assent to an offer.
承诺是受要约人同意要约的意思表示。
