查询词典 reciprocity law

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。

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。

The first computational result on Gauss sums is given by Gauss himself around 1800 and is applied to the famous Gauss quadratic reciprocity law.

高斯和的第一个计算结果是由高斯于1800年给出，用来研究他的著名的二次互反律。

Reciprocity Law: Expressed by = Et, where E is the light intensity, and T is time.

互易律：用=Et表示，E代表光强度，T代表时间。

In this paper, the author sets up the dynamic model of the vibratory extracting-driving piling machine, and carries out the dynamic analysis, parameter calculation and Matlab's simulation for this model. Using the equation reciprocity law to carry out the calculation of soil parameter and simulation, and using the genetic algorithm to make optimization of the machine on the basis of the simulation, the author gets the optimum self-induced vibration frequencies of the machine changing with the depth of the pile and the optimization result of other parameters, thus reaching the conclusion that along with the increase of pile sinking depth, the optimum self-induced vibration frequency becomes bigger, and the vibration mass becomes smaller, hence deepening the knowledge of the dynamic performance of this system.

本文建立了振动沉拔桩机的动力学模型并对这一模型进行了动力学分析、参数计算和Matlab仿真，并利用方程对等法进行土壤参数的计算和仿真，又在仿真的基础上使用遗传算法对桩机进行了优化，从而得出了路基加固振动沉拔桩机随沉桩深度变化而改变的最佳激振频率以及其它参数的优化结果，并得出了随沉桩深度的增加，桩机的最佳激振频率由小变大，最佳参振质量由大变小的结论，深化了对该系统动力学性能规律的认识。

In this paper, the author sets up the dynamic model of the vibratory extracting-driving piling machine, and carries out the dynamic analysis, parameter calculation and Matlabs simulation for this model. Using the equation reciprocity law to carry out the calculation of soil parameter and simulation, and using the genetic algorithm to make optimization of the machine on the basis of the simulation, the author gets the optimum self-induced vibration frequencies of the machine changing with the depth of the pile and the optimization result of other parameters, thus reaching the conclusion that along with the increase of pile sinking depth, the optimum self-induced vibration frequency becomes bigger, and the vibration mass becomes smaller, hence deepening the knowledge of the dynamic performance of this system.

本文建立了振动沉拔桩机的动力学模型并对这一模型进行了动力学分析、参数计算和Matlab仿真，并利用方程对等法进行土壤参数的计算和仿真，又在仿真的基础上使用遗传算法对桩机进行了优化，从而得出了路基加固振动沉拔桩机随沉桩深度变化而改变的最佳激振频率以及其它参数的优化结果，并得出了随沉桩深度的增加，桩机的最佳激振频率由小变大，最佳参振质量由大变小的结论，深化了对该系统动力学性能规律的认识。

The computation of sky radiance resulted from the earth's diffuse reflection is studied based on a hypothesis that a underlying surface is randomly rough. The paper gives an analysis of the method to calculate the reflectivity, average hemisphere reflectivity, and transmission in virtue of the reciprocity law from the earth's surface to the top of the atmosphere.

本文基于下垫面为朗伯粗糙表面的假设基础上，对下垫面对向下太阳辐射的漫反射作用引起天空亮度变化的计算方法进行了研究，分析了利用互易性原理计算大气反射率、半球平均反射率和透过率的方法。

A silver halide emulsion which exhibits high sensitivity, high contrast, little sensitivity variation with humidity conditions at the time of exposure, and excellent reciprocity law properties at high illumination intensities.

本发明公开了一种卤化银乳剂，其感光性高、对比度高、感光性随曝光时的湿度条件变化小，并且在高照明强度下倒易律性能优良。

Based on the science idea of coupling, this paper studied systematically the theory, mathematical model and technology of rock mass hydraulics in coal mining above aquifer, the numerical simulation method, the resemble simulation theory and method. A series of reciprocity law on the stress and displacement of upper and down floor of coal layer, coal pole, fault and the law of water pressure variety was analyzed thoroughly and particularly. Based on the relation of hydraulics character of multi-aquifer, the inspecting and predicting theory model, method and system of water outburst was founded. By used in the colliery, The results were ratified by colliery missionary. In situ test for the hydraulics character of the floor on hydrology observation hole was done.

本文基于固流耦合作用的学术思想，通过理论研究、相似模拟实验、数值分析及现场实际应用，系统研究了带压开采的块裂介质岩体水力学数学模型，数值模拟方法，相似模拟理论与方法，深入细致地分析了带压开采中项底板、煤柱、断层的应力位移分布、含水层水位变化等一系列相互作用规律，并建立了基于多含水层水力联系的底板突水监测预报理论模型及其监测预报方法与系统，并将研究成果应用于现场实际，得到了现场工作人员的一致认可。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。