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In the fourth chapter, some general equations are studied, of which Abel equation and some equations that have been intensively studied are the special cases.

第三章利用Abel方程已有的结果来讨论多项式系统的极限环的存在性，个数和稳定性，推广了水树良和蔡燧林的相关工作。

Arad and Blau proved that an abelian table algebra can be viewed as a group algebra of some abelian group G. Chapter 3 of this paper gives the structural theorem of abelian table algebras by defining a group structure in table basis. Furthermore, the structure of elementary abelian table algebras is discussed using the number of composition series of table algebras.

Arad和Blau证明了abel表代数等价于某个有限生成abel群G的群代数，受此启发本文第3节通过定义表基的一个群结构给出了abel表代数的结构定理，并从合成列数目的角度对初等abel表代数进行了细致刻画。

In chapter three,we have derived a generalized dual London equation for the Abelian "electric" field A_μfrom the effective dual Abelian-Higgs model.The approximative result and the numerical simulation result as well as their figs were shown via solving the dual Abelian-Higgs model with different methods.Hereby the vortex solution of the chromo-electric field and the vortex energy density were also discussed.Finally,we have studied the dual Abelian-Higgs model with additional vacuum constant,and have unpuzzled the vacuum constant corresponding to the bag model.When the quark sources is introduced, the vacuum constant in the MIT bag model is proportional to the quartic of the monopole mass.

利用不同方法求解该方程，给出了该方程的近似结果和数值模拟结果，并分别对两种情形画出图像作了比较，据此还讨论了色电场的涡旋解及能量密度，最后讨论了含有附加真空常数的对偶阿贝尔-黑格斯模型并对应口袋模型给出了附加真空常数的物理解释，引入夸克源之后还预言麻省口袋模型中的真空常数正比于单极质量的四次方。

In chapter 4, a family of two-parameter operators on Abelian group is introduced and its interpolation theorem for approximation is established.

所得的结果包含了R.DeVore定理作为特款，还包含了算子逼近的插补定理，是非线性逼近方面的一项基础性工作。

Chapter Five investigates her creative thought in the field of psychoanalysis, analyzes her new interpretation of the themes such as narcissism and abjection as well as the split subject in the subconscious as to show how Kristeva redresses the theory of Freud and Lacan.

第五章充分论证了她在精神分析领域的独创性思想，指出她对自恋、卑贱等主题以及(来源：44b4A4bBC论文网www.abclunwen.com)对潜意识中分裂的主体作了全新的阐释，修正了弗洛伊德和拉康的心理分析理论。

In chapter five, the results of the experiments are analysed, we draw a conclusion that the thickness of ablator should try to reach the critical thickness.

第五章是实验结果和分析，最终得出了烧蚀层厚度应当尽量达到临界厚度的结论。

Article 41 Provisions of Sections 1 and 2 of this Chapter shall apply to the amendment and abolishment of a regulation.

第四十一条法规的修改和废止程序，适用本章第一节、第二节的有关规定。

Chapter Five describes the process of compiling and then aborting The Black Book.

第五章讨论了《黑皮书》的编写和夭折过程。

In chapter five, on the basis of above-mentioned theoretical expressions and in connection with our own experiences.

第五章在前面理论论述的基础上，结合自己所在的企业进行了案例分析。

Chapter 2 of this thesis is based on the research on the activities of above-mentioned missionaries.

对以上传教士活动的考察构成本文第2章的内容。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。