查询词典 reciprocity

By reviewing carefully original literature,it is pointed out that pursing a more general reciprocity law maby the most motive of the development of algebraic number theory, usual material mainly emphasizes the function of Fermats last theorem.

通过原始文献的深入分析，研究表明：一般互反定律的寻求可能是代数数论发展的最主要动力，而通常文献中主要强调了费马大定理的作用。

Main work follows:(1) In the first part of this paper, a historical development of the number theory before Gauss is reviewed.Based on the systematic analysis of Gauss"s work in science and mathematics, inquiry into the mathematical background that Disquisitiones Arithmeticae appeals and Gauss"s congruent theory;(2) The development process of Fermat"s little theorem and its important function in the compositeness test is elaborated through original literature.we think that the first three section of Disquisitiones Arithmeticae is a summary and development for ancestors" work about Fermat"s little theorem,show that Fermat"s little theorem played an important role in the elementary number theory;(3) With the two main sources of the quadratic reciprocity law, investigating Fermat,Euler,Lagrange,Legendre, until the related work of Gauss,the way to realize the laws huge push to the development of algebraic number theory in 19 centuries.

本文主要做了以下工作：(1)首先回顾了高斯之前的数论研究状况，在系统分析高斯的科学与数学成就的基础上，探讨了《算术研究》出现的数学背景和高斯的同余理论；(2)通过对原始文献的系统解读，深入分析了费马小定理发现发展的历程以及在素性检验中的重要作用，指出《算术研究》前三节是高斯在总结并发展了前人对该定理研究的基础上形成的，并揭示了费马小定理在初等数论定理证明中的核心地位；(3)以二次互反律的两个主要来源为线索，详细考察了费马，欧拉，拉格朗目，勒让德，直到高斯的相关工作，揭示了该定律对十九世纪数论发展的巨大推动作用。

Based on the food chain relationship between nutrition, autotrophy and detritus biomass, considering the complementarity of the nutrition which is caused by the animalcule decomposition of the propagation reliquiae, as well as its losing caused by physical therapies, we set up a model of zoology dynamics about the reciprocity of nutrition-autotrophy-detritus biomass, and analyze the dynamical stability of the model solution by using modern nonlinear theory.

基于营养盐、赤潮藻类、碎屑的生物量之间的食物链关系，考虑到由于海洋内微生物分解动植物遗体对营养盐的补充以及物理因素导致的流失，建立了营养盐－赤潮藻类－碎屑的生物量相互作用的耦合生态动力学模型。运用现代非线性动力学理论，对模型解的动力学稳定性进行了分析。

The arm's length dealing is always mutual reciprocity and mutual benefit, both parties all expect to realize the promotion and maximization of resource value through the trade, so, in the fierce network market day by day of the competition, the online media could offer valuable products and service to users, using an income to greater than paying, it is the online media that could make and keep the basic that compete for the advantage.

正常交易总是互惠互利的，交易双方都期望通过交易实现资源价值的提升和最大化，因此，在竞争日趋激烈的网络市场中，网络传媒能否向用户提供有价值的产品和服务，使用户所得大于所付，是网络传媒能否取得和保持竞争优势的根本所在。

Some people are destined to wait for others, some people are doomed to be reciprocity

有些人注定是等待别人的，有些人是注定被人等的。

The germination, expansion and reciprocity of the crack inside the material embody on the crystal bound of the material. So, in this study we can change the bourgeon and extend condition of the tiny crack inside the material by design and control the crystal interface structure effectively and provide new research approach for the design and manufacture of the machinability ceramic.

由于材料的破坏和加工都决定于材料内部微裂纹生成的难易程度和扩展程度，而材料内部裂纹的萌发、扩展和相互作用集中表现在材料的晶界和相界面上；因此，本研究通过有效的设计和控制界面结构，改变材料内部微裂纹的萌生和扩展条件，为可加工陶瓷的设计和制备提供新的研究途径。

That deeply discusses the specialty of calcium and fluoride in saliva and plaque, and makes clear the rule of conversion and reciprocity of it will be important meaning to clear the pathogenesis of caries, and advance remineralization of dental, and effectively process the forecast and prevent and therapy of caries.

深入探讨唾液、菌斑中氟离子、钙离子的生物学特性，研究其转换代谢规律、相互作用以及各种影响因素，对探明龋病的发病机理，促进牙齿硬组织的再矿化，有效地进行龋病的预测、预防和治疗等均有重要意义。

In these complexes, there are hydrogen bond reciprocity between carboxyl groups and crystal lattice water molecules.

在这些配合物中，羧基氧、配位水分子和晶格水分子之间存在大量的氢键相互作用。

Thirdly, careerism and norm of reciprocity have different effects on psychological contracts.

3职业取向和互惠规范对国有企业和民营企业员工的心理契约有不同的影响模式。

The former reflects reciprocity (parallelism, parity or immediacy oneness) of rights and obligations, and the latter reflects non-reciprocity (imbalance or unimmediate oneness) of rights and obligations.

前者表现为权利和义务关系的对等性（或对应性、同位性或直接统一性），后者则体现为权利和义务关系的非对等性，两者构成了权利和义务关系原理的基本方面。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失