Karl Friedrich Gauss
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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。
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Gauss, Karl Friedrich 1777-1855) God does arithmetic.
宁可少些,但要好些
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Other major figures in statistics: John Graunt (introduced the concept of inference from a sample to an underlying population and described life expectancy); Karl Friedrich Gauss (developed modern statistical reasoning); the 18th-century English theologian Thomas Bayes (showed how probability can be used in inductive reasoning); Sir Ronald Fisher (the principle of randomization as a method for avoiding bias in studies); and Jerzy Neyman (the theories of estimation and testing).
其他统计学上的重要人物:John Graunt(从一项潜在的人口数和描述预期寿命的样本中引进了推论的概念);Karl Friedrich Gauss;18世纪英国神学者Thomas Bayes(示范了如何将概率应用到归纳推论中);Sir Ronald Fisher(随机化原则,一种避免研究中的偏移的方法);还有Jerzy Neyman
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gauss markov theorem:高斯-马可夫(Gauss-Markov)定理
高斯-杜立德(Gauss-Doolittle)法 Gauss-Doolittle method | 高斯-马可夫(Gauss-Markov)定理 Gauss-Markov theorem | 高斯-卜瓦松分布;高斯-卜瓦松分配 Gauss-Poisson distribution
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Friedrich Engels:恩格斯
5.共产党宣言 [(德)马克思(Karl Marx),(德)恩格斯(Friedrich Engels)著] 中共中央马克思恩格斯列宁斯大林著作编译局译8.家庭、私有制和国家的起源 (德)恩格斯(Friedrich Engels)撰 张仲实译
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Gauss conformal projection:高斯投影
高斯高斯(电磁单位 gauss | 高斯投影 Gauss conformal projection | 高斯公式 Gauss formula