因子定理

The semi-simple ring and semi-prime ring. Using properties of zero-divisors, regular elements and diaphysis elements , we obtain some results on the commutativity of Kthe semi-simple ring and semi-prime ring as follows:Let R be aKO|..

the半单纯环、半质环以及任意环的研究，利用零因子、正则元及骨干元的性质以及稠密性定理等相关知识，得到了关于Ko|。。

On the basis of Muskhelishvili's complex function theory, an auxiliary field of mixedmode crack was accomplished, and then using Betti's reciprocal work theorem, a path independent contour integral method for stress intensity factors of mixed-mode crack was obtained.

本文用复变函数理论推导出裂纹的辅助场，并用Betti功互等定理给出求解混合型裂纹应力强度因子的远场围绕积分法。

By using the group-chain, the wavefunctions of the 4f〓 configuration for RE ions are also expressed as linear combinations of group-chain basis functions in Butler's irreducible representation notation. The matrix elements of the CF Hamiltonian then are calculated by means of the Wigner-Eckart theorem and factorization lemma of the jm factors. Before the CF level fitting, a point-charge calculation of the conventional CF parameters B〓 has been performed by means of the lattice-sum technique from the known crystal structure data. The corresponding parameters in the group-chain are calculated by the conversion relationship between two schemes that proved identical in essence, which are usually used as initial values in the fit to the experimental levels. The ratios of the same k-value CF parameters are suggested as the constraint conditions in the fit, in order to utilize fully the symmetry distortion degree of the studied system.

利用群链理论，属稀土离子4f〓组态的波函数表示为以不可约表示标记的群链基波函数的线性组合；借助Wigner-Eckart定理和2jm和3jm因子的分解定律计算了晶场哈密顿的矩阵元；根据点电荷模型和已知晶体结构数据，利用点阵求和技术计算得到传统晶场参数B〓初值，相应的非传统形式的群链参数初值则由两种方案下的转换关系求得；这些初值通常作为非线性拟合晶场能级计算的初值，系统的对称性畸变信息则反映在以同阶晶场参数的比值作为能级拟合的约束条件。

The M Q algorithm has been applied to the second order elliptic problems with the Dirichlet boundary conditions,and the so called R condition is involved in the convergence theorem and the optimal relaxation parameter.

M-Q算法所考虑的是二阶椭圆型Dirichlet边值问题，此时有所谓的R条件成立，算法的收敛定理以及松弛因子的选取都需要该条件。

On the other hand, all the results obtained in here are helpfulto further precisely test perturbative QCD and NRQCD factorization theorem.

同时本文的计算结果也有助于进一步精确检验微扰QCD及NRQCD因子化定理。

First, based on the factorization theorem for lepton-induced hard diffractive scat-tering and the factorization framework of the nonrelativistic Quantum Chromodynamics for quarkonia production, We present a study of J/〓+jet diffractive productionin the direct photon processes at DESY HERA.

首先，基于轻子引起的inclusive硬衍射散射的因子化定理和重夸克偶素产生的非相对论QCD因子化框架，我们研究了DESY HERA对撞机上J／〓+jet的衍射直接光产生。

Four seminars of special topics at an accessible level were organized at 4:00 - 5:00pm each afternoon. Prof. Shufang Su of the University of Arizona gave the first seminar on the ''Dark matter search and the LHC". Prof. Tao Han of the University of Wisconsin-Madison spoke on the ''Methodology of collider phenomenology" on the second day. Prof. Hsiang-Nan Li of the Academia Sinica, Taipei, gave a talk on the ''Perturbative QCD and the factorization Theorem". Prof. Lian-Tao Wang finished up in the last day to speak on the ''Monte Carlo techniques in high energy physics".

每个下午16：00-17：00是专题讲座时间，分别由美国亚利桑那大学的苏淑芳教授做了有关"寻找暗物质与LHC"的讲座，美国威斯康星-麦迪逊大学的韩涛教授做了有关"对撞机现象学研究的方法"的讲座，台湾中央研究员的李湘楠教授做了"微扰QCD和因子化定理"的讲座，王连涛教授最后做了"高能物理中的蒙特卡洛方法"的讲座。

It includes the basic structural theory of groups; groups'actions on sets and the applications of these actions; the basic structures of rings; the properties of uniquely factorized domains; the Chinese Remainder; the extensions of fields; finite fields with applications; the Galois theory with applications.

主要内容包括群的基本结构理论、群在集合上的作用及其应用、环的基本结构和因子分解理论、中国剩余定理、域的扩张理论、有限域及其应用、Galois 理论及其应用。

The properties kept by homomorphism of rings are generalized by restricting zero divisors of rings,and some important theorems are proved.

通过对环的零因子进行限制，推广了环同态所保持的性质，证明了几个重要的定理。

In the case that the oscillation factor isn't sign reversal and neutral factor is p, by discussing the sign of the neutral term's first derivative and using Holder inequality the oscillation conditions of the all solutions of this kind of equation are studied, three sufficient theories that all solutions of the equation oscillate are obtained.

在振动因子q保号、中立型因子p的情况下，通过对中立型项一阶导数符号的讨论，根据Holder不等式，研究了该类方程的解振动的条件，得到了所研究方程所有解振动的三个充分性定理，所得结论是对该类问题已有结论的进一步完善和推广。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。