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Owing to the importance of Disquisitiones Arithmeticae in histoiy of number theory and the core position of the congruent theory in elementary number theory, this paper is to focus on the following two topics: the origin and development of Fermats little theorem and the quadratic reciprocity law which was hailed as golden by Gauss.

鉴于《算术研究》在数论发展史上的重要性以及同余理论在初等数论中的核心地位，本文重点研究费马小定理和被高斯誉为"黄金定律"的二次互反律的起源和发展。

"And she saw that, owing to the peculiar effect of this convex mirror, the scarlet letter was represented in exaggerated and gigantic proportions, so as to be greatly the most prominent feature of her appearance."

由于这一凸面镜的特殊功能，她看到红字的映象极为夸张，显得比例极大，成了她全身最显著的特征。

Hester looked, by way of humouring the child; and she saw that, owing to the peculiar effect of this convex mirror, the scarlet letter was represented in exaggerated and gigantic proportions, so as to be greatly the most prominent feature of her appearance.

海丝特出哄孩子高兴的愿望，往里隔了瞧；由于这一凸面镜的特殊功能，她看到红字的映象极为夸张，显得比例极大，成了她全身最显著的特征。

Hester looked, by way of humouring the child; she saw that, owing to the peculiar effect of this convex mirror, the scarlet letter was represented in exaggerated gigantic proportions, so as to be greatly the most prominent feature of her appearance.

海丝特出哄孩子高兴的愿望，往里隔了瞧；由于 www.ddd§tt.com 这一凸面镜的特殊功能，她看到红字的映象极为夸张，显得比例极大，成了她全身最显著的特征。

The structures and orientation texture evolution of UFG-Copper during AARB were studied and the results were as follows:(1)Whenεis lower or equal to 1.6,the slips happen on grain boundaries and crystal planes owing to the shearing force.There occur many sub-grains possessing small angle boundaries and 5μm grains sizes within the big grains.

研究了大变形异步叠轧制备超细晶铜材过程的组织和取向织构变化情况，结果表明：(1)变形等效应变ε≤1.6时，剪切应力的作用使晶粒与晶粒之间发生滑动，部分晶粒内部晶面发生滑移，大晶粒内部转变为许多具有小角度晶界、大小为5个微米的亚晶。

Owing to its cyclic symmetry the complex constraint method for the eigenproblems of cyclic symmetric structure is applied to calculating the eigenpairs of the helical gear structure.

根据齿轮结构的循环对称性，以仅含有一个完整轮齿的扇形子结构作为齿轮有限元计算模型，用计算循环对称结构特征值问题的复约束方法，通过求解一个扇形子结构的特征值问题得到整个齿轮结构的特征值和特征向量。

Owing to the risk aversion and deposit preference of state-owned commercial banks, their credit supply is not sufficient, deposit demand is too big, and balance of their deposits to loans is enlarging.

在利率管制的条件下，由于我国国有商业银行的风险厌恶和存款偏好特性，使银行的贷款供给不足和存款需求过大，引起存贷款差额扩大，从而导致我国货币政策信用渠道的传导机制不畅。

Absolute permeability at any given location may change in response to localized changes in stress within the rock pore system owing to depressurization during production.

在任何位置的绝对渗透率，由于生产过程中的减压，可能会随着岩石孔隙系统中应力的局部变化而变化。

Our country is becoming a community which has more and more senile people. Owing to debility on physiology and psychology, descension on social class of senile people, there will be some change on traffic characteristic and traffic demand of them. So it is necessary to study the applicability of pavement for senile people.

我国已进入老龄化社会，而高龄人群由于生理特性的衰退、心理特性的改变以及社会地位的下降，导致其交通行为特性与交通需求都发生了变化，因此，对作为高龄人群最常用出行方式载体的人行道系统进行是否适应高龄人群特性的研究就显得很有必要。

Rapid design has been proposed and developed owing to the demand of products diversity and rapid update, and it refers to all the design techniques and methods in aid of shortening the cycle of product development.

快速设计技术是在当今企业为快速响应市场对产品多样化需求的制造模式下提出并发展起来的，是以缩短产品开发周期为目的的一切设计技术与方法的总称。

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。