查询词典 unique factorization theorem

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。

In this paper, we study the foundation of the constructing in CDT, and get the theorem of CDT factorization.

文章对范畴数据类型构造的基本原理作了深入探讨，并采用了一种新的方法实现了CDT同态的因子分解定理，得到了CDT构造中某些重要的性质和CDT因子分解定理。

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。

In this thesis, we use the Min-Max criterion and Parks-McClellan algorithm to design this optimal approximation error of spectrum. Moreover, we give constraint of this optimal spectrum to get the positive spectrum. Then the positive spectrum can be factored by Spectrum Factorization Theorem and can be realized by FIR system.

我们利用最小化最大误差指标，及Parks-McClellan演算法，设计出具有最佳误差的频谱，并对此频谱做限制式上的处理，来得到正数列频谱，并将所得到之正数列频谱利用分解理论做分解，并以FIR系统实现之。

There are so many similarities between the new class of RH〓 and the class A〓, it is to be expected, therefore, that the Jones'factorization theorem for A〓 weights might be extended to include some information about the reverse H〓1der classes via those results concerning RH〓-weights, and we do it.

具体地说，就是借助于极小算子定义了RH〓算子，类似于A〓权的分解，我们对RH〓权的结构做了细致的刻划；第四、我们定义了一类新的算子—几何极小算子并致力于把A〓权的结果推广到鞅论上。

Based on the factorization theorem for lepton induced hard diffractive scattering and color octet heavy quarkonium production mechanism,ηc diffractive production in the direct photon process is studied.

华北电力大学数理学院，河北保定071003利用轻子硬衍射过程的因子化方法和重夸克偶素的色八重态产生机制，研究了ηc的光生衍射过程。

In this paper, we study structure-preserving algorithms for some doubly structured matrices and structured backward errors by Van Loans squared reduced method, quasi-QR factorization and Wielandt-Hoffman theorem.

本文利用Van Loan的平方约化方法，拟QR分解，Wielandt-Hoffman定理等对一些双结构矩阵特征值算法和结构向后误差进行了研究。

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。

Based on up_ and down_going wave decomposition and elastic wave power reciprocity theorem, this paper derives, in the lateral velocity varying case, linear prediction operators expression and the generalized spectral factorization equation for reflection dataset.

本文基于上下行波分解及弹性波互易定理，导出横向变速介质条件下线性预测算子的表达式和反射数据的广义谱分解方程。

Three, S, M Series Atomic Absorption Spectrometer using a new Echelle optical system, providing unmatched detection limit; unique four-button background deuterium lamp technology, a more accurate calibration results can be as high as 3A background correction ; patent protection Stockdale two-beam technology, has been very high sensitivity and signal to noise ratio; communicate unique background deduction Zeeman graphite furnace technology; unique ELC Long Life graphite tube; GFTV unique visualization technique by graphite furnace

三、 S 、 M 系列原子吸收光谱仪采用全新的中阶梯光栅光学系统，提供无与伦比的检出限；独特的四线氘灯扣背景技术，校正结果更准确，可校正高达3A 的背景；专利保护的 Stockdale 双光束技术，得到极高的灵敏度和信噪比；独特的交流塞曼石墨炉扣背景技术；独特的 ELC 长寿命石墨管；独特的 GFTV 石墨炉可视技术

Given the language of section 102(2), the Supreme Court's rejection of substantive review under NEPA seems unjustifiable in principle

按照第102条的规定，最高法院否决《国家环境政策法》所规定的实质性复审在原则上似乎是不正当的。

ObjectiveTo explore the effect of variable hip abduction orthosis on children spastic cerebral palsy.

目的探讨髋关节矫形器在儿童痉挛型脑性瘫痪康复中的作用。