模数的

The content of this course is: analytic function (the definition of analytic function, elementary functions, etc.), conformal mapping (the definition if conformal mapping, fractional linear functions, elementary mappings, etc.), complex integration (Cauchy's integral formula, Cauchy's theorem, etc.), Series (Laurent Series, singularities, local property, etc.), residues and its applications (the Residues Theorem, integration by residues, the Argument Principle, the Maximum Principle, Schwarz's Lemma, etc.), analytic continuation and harmonic functions, etc.

本课程内容主要包括：解析函数(解析函数的定义、初等函数等)、共形映射(共形映射的定义、分式线性变换及初等映射等)、复积分(Cauchy 积分公式、 Cauchy 定理等)、级数(Laurent 级数、孤立奇点、局部映射等)、留数及其应用(留数定理、利用留数计算积分、幅角原理、最大模原理、 Schwarz 引理等)、解析开拓和调和函数等内容。

The low-dimensional Galerkin method is generalized to solve the flow around arbi-trarily translating circular cylinder.Active control problems of wakes behind circularcylinders are numerically investigated by only small number of modes.The in-line andtransverse oscillation of a circular cylinder with proper frequency produce Karman vor-tex street successfully in some subcritical regime,vhereas the transverse oscillation of acircular cylinder with 1.8 times the natural shedding frequency can effectively suppressthe Karman vortex street at a slightly supercritical Re.

将低维Galerkin方法推广至可以求解任意平移运动圆柱的绕流问题，用较少的模数值研究了圆柱尾迹的主动控制问题，在亚临界Re数下圆柱以适当的频率沿流向和横向振动均成功地激发出Karman涡街；而在略高于临界Re数下圆柱以1.8倍自然脱涡频率沿横向振动明显地抑制了Karman涡街；再现了超临界Re数横向及流向振动圆柱绕流的频率锁定等复杂非线性现象。

The first 10 chapters study cohomolgy of open set in Euclidean space,treat smooth manifolds and their cohomology and end with integration on manifolds.

全书分四章：范畴与函子及其在模论中的应用；特殊模与相应的维数；环模复形的同调理论；谱序列。

Then we introduce the concept of(n,0)-projective dimension for modules and rings.It measures how far away a finitely generated module is from being n-presented,and how far away a ring is from being Noetherian.

然后，我们介绍环与模的(n，0)-投射维数，它可以衡量一个有限生成模与n-表现模的差距，以及衡量一个环与Noether环的差距。

In addition,the frequency of motif with known function and statistical significance were analyzed.

另外，还统计了已知功能的模体和基于统计意义发现的模体在各个超家族中出现的频数。

So in chapter 2, we use P-flat and P-injective modules to characterize some important rings, like SF-rings, Von Neumann regular rings and Coherent rings, etc. In chapter 3, we introduce the homological dimension of P-flat and P-injective modules.

众所周知，正是由于研究各类模以及它们的同调维数，人们才能对环得到更深层次的性质的描述，所以在第二章中，我们就利用了P-平坦模与P-内射模来刻划几种重要的环，如SF环、Von Neumann正则环、凝聚环等。

As to arithmetic operations of fuzzy numbers,the arithmetic rules of fuzzynumbers based on generalized t-norms are introduced,which extend greatlythe implication of the arithmetic rules of noninteractive fuzzy numbers andgeneralize the arithmetic rules of fuzzy numbers of Dubois-Prade.

在模糊数算术运算方面，给出基于广义t-模的模糊数算术运算规则，该规则极大地拓展了非相互作用模糊数算术运算的范围与含义，对Dubois-Prade意义下的模糊数算术运算是一个很好的推广。

The modulus of a complex number, equal to the square root of the sum of the squares of the real and imaginary parts of the number.

复数的模：一复数的模，等于该数实部部分与虚部部分平方和的平方根

In this paper,we mainly make a deep and systematic study of sample path prop-erties for high and infinite dimensional Gaussian processes,especially for high andinfinite dimensional Wiener process in stronger norm-Holder norm than ever(everbefore,there used to be uniform norm and the process was limited to one dimen-sion).We not only deal with all kinds of functional moduli of continuity,but alsoconcern with different forms of functional limit theorems of C-R increments.

本文主要对高维的以至无穷维的Gauss过程、特别是Wiener过程的样本轨道性质在较以往更强的范数—〓范数下作了系统深入的研究（以往通常采用一致范数，过程限于一维），研究的内容不仅包括各种形式的泛函连续模，而且还包括各种形式的C-R增量的泛函极限定理。

The change of the reflection coefficient of dominant mode with working frequency, the row number of metallic pit prop, and pit prop diameter are obtained, respectively.

用模式匹配法求出不连续面的阻抗变换公式，利用多模传输理论求出整个不连续问题的散射参数，得出了均匀区域的基模电压反射系数与工作频率和支护立柱排数及立柱直径的关系。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。