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This paper firstly introduces the concept of least function dependence set and the minimal fixed point theory, and then analyzes the relation between closure of function dependence set and complete lattice, and puts forward analyzes a concrete solution of least function dependence with use of minimal fixed point theory.

本文尝试采用严密的逻辑方法，利用最小不动点理论去求解最小函数依赖集。1最小函数依赖集(1)函数依赖一个数据依赖是关于关系数据库中关系的属性值之间的相关关系的一个命题，它规定了一个关系数据库的规范所满足的完整性约束条件。

Chapter 1 reviews recent investigation in Bose-Einstein condensation, and analyzes critical point and condition of phase transition. Chapter 2 introduces the experiment of Mott insulator and superfluid phase transition in dilute atomic gases, theoretic mode and some studying. In chapter 3, we study the influence of dipole-dipole interaction of two component BEC in optical lattice, by Green function technique and mean-field approach. The results show that long range interaction and dipole-dipole interaction can be strongly influence the phase transition of two component.

本文内容分为四章，第一章对BEC近几年的研究回顾，分析了理想情况下凝聚的临界行为和凝聚条件；第二章我们介绍了光格子中绝缘-超流相变和理论模型及其描述；第三章我们利用格林函数和平均场近似的方法，对偶极-偶极相互作用在光格子中两分量BEC原子的超流-绝缘相变的作用进行了分析，结果表明偶极-偶极相互作用和长程相互作用对绝缘-超流相变有很大的影响。

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。

Based on the average lattice and average atom models, effects of interstitial impurities on the valence electron structures and phase transformation of Ti-Al alloys are analyzed, and the degree of descension of bond energy, melting point and liquidus temperatures as affected by interstitial impurities are calculated by the bond energy formula of the EET.

应用固体与分子经验电子理论的平均晶胞和平均原子模型分析计算了间隙杂质对Ti-Al合金价电子结构和相变的影响。同时根据该理论的键能公式计算了间隙杂质影响下的键能、熔点和液相线的变化。

The author agrees with many previous investigation that the intrinsic degradation is caused by disproportionation, which is governed by the mobility of the constituent elements, which in turn is affected by the melting point, the lattice structure and the composition of the alloys.

晶格缺陷的产生和累积也是贮氢合金本征退化的一个主要机制，影响这种缺陷产生和累积的主要因素有合金的熔点、晶体结构和成分。

Iseki , this theory contact to be suffused with universal algebra, group theory, ring theory, lattice theory,Boolean algebra,set point topology, toplogical algebra etc. we have already obtained the large quantity result to the research of the BCK algebra.

Iseki引入的代数系统，这一理论联系到泛代数、群论、环论、格论、布尔代数、点集拓扑和拓扑代数等，对BCK代数的研究已经取得了一大批的研究成果。

The result makes clear, the hydrogenous key key of hydrate brilliant acupuncture point can be strong at water element 2 get together body and the hydrogenous key key in putting crystal lattice on the ice can.

结果表明，水合物晶穴的氢键键能强于水分子二聚体和冰晶格中的氢键键能。

Mainly in a method of the lattice vector quantifying coding and decoding, a new basic code book is selected out and directly or indirectly comprises all points whose value is less than or equal to 3 of any dimension in a RE point set, and points on a fourth grade hypersphere in the basic code book are all odd points so that part of nearest adjoint point values can be comprised in the basic code book only via corresponding odd number processing.

一种格矢量量化编解码的实现方法及装置，其主要是在格矢量量化编码方案中，选定新的基础码本，在该基础码本中直接或间接地包含了RE 8 点集中任意维的数值小于等于3的所有点，且该基础码本中的第4级超球面上的点全部为奇数点，以使得部分的最近邻点数值仅经过相应的奇数化处理便可以包含于基础码本中。

The two one-way coupled map lattice system point by point feedback synchronization method to effectively realize the two systems take the same parameters, different initial conditions at the time of synchronization.

详细说明：对两个单向耦合映象格子系统提出逐点反馈的同步方法，有效地实现了两个系统取相同参数，不同初始条件时的同步。

This paper proposed a fixed-point transversal adaptive filter and a fixed-point lattice adaptive filter for the application in GPS anti-jamming system.

在本论文将提出定点数的横贯式适应性滤波器与定点数的格式适应性滤波器，将它们应用在抗干扰的系统中。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。