定理

As to its computing methods, this paper synthesizes six kinds, they are: utilizing a general integral method of complex function directly; utilizing Cauchy integral theorem; utilizing Cauchy integral formula; utilizing Cauchy high-level differential coefficient; utilizing Cauchy residue theorem; utilizing the residual of logarithm.

关于周线积分的计算方法，本文综合了六种，它们分别是：直接利用一般的复变函数积分的方法；利用柯西积分定理；利用柯西积分公式；利用柯西高阶导数公式；利用柯西留数定理；利用对数留数。

This paper discusses the Noether theorem of complete singular integral equation which containsboth the convolution kernel and the Cauchy kernel, and comes up with the Noether theoremwhich is similar to the Fredholm integral equation, the convolution equation and the singularintegral equation.

本文讨论了既含卷积核又含Cauchy核的完全奇异积分方程的Noether定理，得到了与Fredholm积分方程、卷积型积分方程、奇异积分方程相类似的Noether定理。

Moreover if f is aperiodic, then f satisfies the local multidimensional central limit theorem.

在第三章中，对于满足某些条件的向量值的观察量，我们证明了多维中心极限定理和局部中心极限定理成立。

To solve this problem, an algorithm to analyze and research the multi-harmonic sources was proposed based on certain assumptions, and the calculation formulae of harmonic superposition were deduced based on Big Number Theorem and Central Limit Theorem of probability statistics.

针对这一问题，论文在一定假设条件下，提出了一种研究多谐波源谐波电流叠加的方法，利用概率统计学中的大数定理和中心极限定理，推导出了谐波叠加的计算公式。

Based on this thought, in this thesis, the alternation theorem is first extended to the Chebyshev approximation problems with inequality constraints, and then two algorithms are devised for designing linear phase FIR filters with inequality constraints in Chebyshev sense according to the extended theorem.

L.J.Karam和McClellan在文献[20]中把交错点组定理扩展到复数域，并提出了求解复系数FIR滤波器的复Remez算法，但由于此扩展定理只是一个充分条件，所以此算法不能保证得到最优解。在文献[23]中，他们对复Remez算法进行了完善，使其收敛到最优解。

This paper is intended to discuss the fact that the electromagnetic field S space symmetry is the essential condition for finding the solution to the electrostatic and static magnetic fielde E、B by the direct use of Gauss law and Ampere s circuital law.

本文叙述了电磁场空间对称性是直接用高斯定理及安培环路定理求解静电，磁场中E、B的必要条件。

Second, in the fourth character, we discuss Vague groups, give some interesting properties, and the most important result is the homomorphism and isomorphism between two L-Vague sets, the homomorphism and isomorphism theorems in the theory of classical groups are extended to the L-Vague groups.

二是研究了Vague集的群问题，给出了一些性质，并着重研究了L-Vague群的同态和同构，将群中的同态定理和同构定理推广到L-Vague群上，见第四章。

In this paper, infinitesimal classification is given and theorem condition of equivalent infinitesimal replacement is simplified,thus,this theorem is easy to operate.

对无穷小提出了新的分类法，并对等价无穷小替换定理的条件进行了简化，从而使得该定理应用更加方便。

In view of the disadvantages existing in the proof of the theorem of the classification, this dissertation analyzes the necessity and feasibility to give a second proof, and elaborates on the GLS Project according to the latest research information.9. The finish of the classification of finite simple groups has profound influence on mathematics and other fields.

挖掘了分类定理最初证明中存在的弊端，提炼并概括出对分类定理进行二代证明的必要性与可行性，通过查阅最新研究资料，详细介绍了目前正在进行的GLS计划。9。

On the basis of analyzing the classification principle of Bayesian classification model and a variant of Bayes theorem, a new classification model based on Bayes theorem, DLBAN (double-level Bayesian network augmented naive Bayes), which adds the dependence among attributes by selecting the key attributes, is proposed.

通过分析贝叶斯分类模型的分类原则以及贝叶斯定理的变异形式，提出了一种基于贝叶斯定理的新的分类模型DLBAN(double-level Bayesian network augmented naive Bayes)。该模型通过选择关键属性建立属性之间的依赖关系。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。