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Chapter 5 concerns the number of limit cycles for a cubic Hamiltonian system under cubic perturbation.

第五章给出了只关于一个轴对称的三次哈密顿系统的分类，研究了三次哈密顿系统在三次扰动下的极限环的个数与分布。

The third and fourth chapter we present some academic result and familiar standard form of Hamiltonian matrix, at the same time introduce cursorily the SR algorithm.

然后给出了求解Hamilton矩阵特征问题的一些理论结果及常见的标准形式，并对SR算法的框架作了粗略地介绍。

Using MTLSER model and AM1 Hamiltonian in quantitative structure-activity relationship studies of alkyl (1-phenylsulfonyl) cycloalkane –carboxylates.

取代苯胺和苯酚类化合物对大型蚤的定量结构-活性关系研究。

For the more complicated case of orbital degenerate ground states, however, the theoretical studies on the spin Hamiltonian parameters are quite few.

同时由于该问题的复杂性，前人工作常常忽略一些因素的贡献，故难以对基态为轨道简并态时的自旋哈密顿参量作出合理的定量的解释。

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。

Therefore, the existence of periodic solutions for the Hamiltonian system and its equivalent differential delay equation is established.

从而建立哈密顿系统以及与之等价的时滞微分方程的周期解的存在性定理。

Successive diagonalization and truncation technique was used to reduce the size of the final Hamiltonian matrix to be diagonalized.

为了降低需要对角化的最终哈密顿矩阵的维数，采用连续对角化截断方法。

Regarded as the foundation of studying mesoscopic circuit, we discussed the Hamiltonian diagonalization.

作为研究介观电路的基础，对哈密顿量的对角化进行讨论。

The construction of the hamiltonian matrix, and the Lanczos exact diagonalization are also discussed.

并详细介绍了与该数值分析方法密切相关的Lanczos严格对角化方法，及构造巡游电子格点系统的Hamiltonian矩阵的技巧。

By comparison, two different generators can diagonalize the Hamiltonian and eigenvalue of systems are nearly equal.

比较发现，两种情况都可以对角化系统，计算出的系统本征值略微不同。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。