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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。

The saline alkali soil in Jilin province was formed under semiarid and semi moist weather which was distributed in bai cheng region. And the western grassland is the important animal husbandry base in Jilin province. So as far as the development of western animal husbandry and the goal of becoming an ecological province is concerned, it is of important significance that people turn the saline alkali soil into arable soil.

吉林省内的盐碱土，是在半湿润半干旱气候条件下形成的内陆型盐碱土，主要分布于西部的白城地区，而西部草原又是重要的牧业生产基地，因此，将这些盐碱化的土壤转变为可以耕种的土壤，对西部牧业的发展和实现生态省建设的目标来说，具有重大的意义。

Mannich reaction is an important organic reaction, having the important application in the synthesis of the medicine and alkaloid.

曼尼希反应是一个重要的有机反应，在医药和生物碱的合成中有着重要的应用价值。

The studying all by oneself is an important means to push people to educate, replace the foundation education and play an important role in the course of education reform.

自主学习是推动人们终身教育、变革基础教育的重要手段，在课程教育改革中占有重要的地位。

Space , he says , is all important an all-important issue.

他说，空间是所有问题中最重要的。

The purpose of this is not to use our issue to influence the all-important eighth consecutive Most Important Election of Your Lifetime.

的目的，这是不使用我们的问题影响到所有重要的八分之一，连续最重要的选举，您的一生。

What is important to you is also important to me.

对你重要的事对我。。。

It is believed that it is a promising alternative for thermionic cathode and field emission cathode. Since 90s 20th century, many important progresses in ferroelectrics cathode have been made. With the researches on the theory and experiments of this field, many new ferroelectrics devices will come into being and will have important usages in high-tech domain.

自20世纪90年代以来，铁电阴极材料及应用研究取得了许多意义重大的研究进展，随着电子发射机理研究的进一步深入，以及新铁电阴极材料制备技术和电子发射技术的进一步发展，完全可以期望在不久的将来就会有各种新型铁电电子发射器件在不同的高新技术领域发挥重要的作用。

In "three first" hospitals, the quantity of the outpatients is very large; the time of blood drawing is some how centralized; the items of the laboratory sheets are complex and the time of results turning out is different. there for, how to drawing blood accurately and manage the laboratory sheets scientifically is a very important problem needed to bi resolved for the ambulant clinics and blood drawing centers in the hospitals. and how to built a suit of scientifically management method system is an important task for every hospital.

对于"三甲"级医院由于门诊病人流动量大，采血时间集中，化验单项目多而复杂、且出结果的时间长短不一的特点，因此，对于血液标本的正确采集及化验单的科学合理等问题已成为各医院门诊护理工作及中心采血室急待解决的一项重要的工作，如何建立一套科学的管理方法与制度是各医院必须要解决和研究的重要课题之一。

Amitosis and asymmetric division play an important role in PC12 cell pleomorphism. The asymmetric division possesses important significance in tumorigenesis and differentiation.

无丝分裂和不对称分裂是PC12细胞多形性形成的主要原因，肿瘤细胞无丝分裂及其不对称性对肿瘤发生及肿瘤细胞的分化具有重要意义。

The network space is the typical form of abstract space when it comes to the digital stage.

网络空间是抽象空间数字化阶段的典型形式。

The Notarial System,as the system of judicial certification in our country,is both the constructor and the defender of social credit system,It has its special value and function in the social honesty.

公证制度作为我国司法证明制度，既是社会信用体系的建设者，同时也是社会信用的捍卫者，在诚信中有其特殊的价值和功能。