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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。

As regarded its origin there were various explanations, all of which must necessarily have been conjectural .

至于其来源，则有着种种解释，当然都是些臆测。

As regarded its origin there were various explanations, all of which must necessarily have been conjectural.

白兰所佩戴的十分相似。至于其来源，则有着种种解释，当然都是些臆测。

In the basic model,it is assumed that for each commodity,the flow can be routed on any path connecting its origin and its destination.

在这些相关应用中，多种商品通过有容量限制的网络，各自从起点被运送到终点。

The main topic of this thesis is the introduction and evaluation of the establishment, practice and experience of the connoisseurship method proposed by the main creator of the modern eastern connoisseurship method which is the origin of "scientific" connoisseurship-Giovanni Morelli and his main follower Bernard Berenson.

本文主要对作为"科学"鉴定起源的西方近现代鉴定方法的主要创建者乔瓦尼·莫雷利和他的主要追随者伯纳德·贝伦森的鉴定方法的建立、实践与经验进行了介绍与评价。

What is most interesting, they have the rich connotation and the origin.

最有趣的是，它们都有丰富的内涵和来历。

The origin of marriage matchers at archaic times got along not only with economic factors but also with demands of innovations of connubial systems and progress of human in civilizations.

媒妁的肇始当在对偶婚向专偶婚过渡的父系氏族社会时期，而非专偶婚形成之后。

Faced with the continuous increasing of the productive capability, the western powerful countries were eager to seek for the place of origin and the marker of the new raw material, therefore the broad and fertile Asian continent became their conquerable target.

面对日益增长的生产能力，西方列强迫切需要寻找新的原料产地和市场，因而广袤、富饶的亚洲大陆成为了西方列强的主要征服目标。

The origin of the fund-management stimulating problem is that the standard of rational agent's activities is utility maximum.But, in the reality, the fund investor and the fund administrator are a kind of consignation and there is information asymmetry. The fund investor wants to make the fund administrator act according to the benefits of the former, but the investor can't observe the investment activity of the administrator directly and in time. He can only observe other variables which are decided by the administrator's activity and other outside uncertain factors.

基金激励问题产生的根源在于理性人的行动都以自身效用或利益最大化为标准，但在现实中，基金投资者与基金管理者是一种委托代理关系且两者之间存在着信息不对称，基金投资者想使基金管理人按照前者的利益选择行动，但投资者不能直接及时地观察管理人的投资行动，他能观察到的只是另一些指标变量，这些变量由管理人的行动和其他外生随机因素共同决定。

Darwin is just the most successful example in this field,which invoked this method to support his evolution theory by natural selection.In Origin of Species,he cites a large array of facts on the basis of explanatory power and consilience,which are explained by the theory of evolution but are inexplicable by creation.It accords with criterions of inference to the best ...

达尔文运用最佳解释推理论证通过自然选择而进化的理论最为成功，在《物种起源》中，达尔文以解释力、解释的一致性为基础，引用大量事实，充分比较了自然选择理论与上帝的独立创造说或神创论，符合最佳解释推理模型的评价标准。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。