查询词典 constructive ordinal number

It is rich in content, and algebraic number theory, geometry number theory, number theory, etc. have set more closely linked .

不定方程的内容十分丰富，与代数数论、几何数论、集合数论等等都有较为密切的联系。

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。

Perfect number, amicable number and anti-sociable numbers are important topics in number theory.

完全数、相亲数以及孤立数一直是数论研究的一个重要课题。

For the question of material transportation in emergency situation ,the paper gives an arithmetic operators,which changes the interval number order into real number order,and gives the arithmetic of interval number shortest path.

针对紧急状态下物资调配时间为区间数问题，在经典的Dijkstra算法基础上，通过定义一个算子，把区间数序关系转换成实数序关系，对区间数进行排序，给出了区间数的最短路算法。

Lead (atomic number 82) and gold (atomic number 79) are defined as elements by the number of protons they possess.

铅（原子数82）和金（原子数79）都是根据所拥有的质子数定义的"元素"。

"This number is still rising, this is only the first batch of the number of people sued, and now we are preparing for the second batch, the current resolution The number of second groups have reached more than 20 people."

"这个数字仍在不断上升，这只是对起诉的人数第一批，现在我们正在准备第二批，本决议的第二组的数目已达到超过20人。"

In the problem, there are m persons who are to be assigned to do n jobs, and the number of the persons who are assigned to do the jth job is bj, where bj is an unknown positive integer number to be calculated such that djbjej, dj and ej are known positive integer number (j=1,2,…,n) such that ∑nj=1bj=m and m≥n.

考虑一类较一般的最优指派问题：欲指派m个人做n项工作，要求每个人只做一项工作，第j项工作可以由bj个人共同去做，其中bj是待求未知数，满足dj≤bj≤ej(即ej，dj为第j项工作所需人数的上下限)及∑nj=1bj=m，dj，ej为已知常数，j=1，…，n。

The fixed-base number system is widely implemented in the theoretical model of DNA arithmetic operation,such as binary number system,ternary number system.

在DNA算术运算的理论模型中，普遍应用固定基数制，比如二进制、三进制。

In the group number, we must also do a number from decimal to binary number conversion.

在组数的同时，还要做从十进制数到二进制数的转换。

One embryonic cell can be separated into many blastomere cells. As be the nuclear donor of the embryonic cell nuclear transfer, it can breed the number of eminent species largely, increase the number of endangered animals, supply large number of supply same genotype animals, improve the efficiency of gene transfer and sex control and offer same genotype apparatus or organ for human transplant.

一个早期胚胎细胞可以分离多个卵裂球，以此作为核供体进行胚胎细胞核移植，可以大量扩繁优良品种的数量，增加濒危动物的数量，为科学研究提供大量遗传同质的动物，提高转基因和性别控制技术的效率，提供基因型相同的器官或组织供人类移植。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。