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In addition each record has a field for phone number, fax number, cell phone number, e-mail address, web site and there is even a field for notes that can store information such as clothes sizes, favorite colors, etc. you name it.

此外每个记录有外地的手机号码，传真号码，手机号码，电子邮件地址，网站，甚至还有一个外地的债券是可以储存的资料，例如衣服尺寸，喜欢的颜色等，你的名字。

In this master thesis, we mainly discuss the adjacent vertex- distinguishing total chromatic numbers of some special graphs and prove that Zhang"s conjecture holds for these graphs. Then we get the adjacent vertex-distinguishing total chromatic numbers of the Halin Graphs. Moreover, we investigate the Generalized Petersen Graphs, prove that some classes of positive integers can"t structure the Generalized Petersen Graphs and get the result that the adjacent vertex-distinguishing total chromatic number is 5. Finally, based on the number and the parity of circles contained by the graph, we get the adjacent vertex-distinguishing total chromatic number of two classes of graphs.

本学位论文首先主要针对几个特殊图类讨论其邻点可区别全色数，验证了其满足图的邻点可区别全色数的猜想；再证明了非轮的Halin图的邻点可区别全色数；接着研究的是广义Petersen图，讨论了不能构成广义Petersen图的几类正整数，并证明了该图的邻点可区别全色数等于5；最后，根据图所含圈的个数及其奇偶性得到了两类图的邻点可区别全色数。

Although most antibiotics reduced the number of bacteria in pancreas, they affected the balance of intestinal microflora. The QYT herbs could decrease the number of intestinal aerobe, increase the number of bifidobacteria and lactobacillus, and significantly reduce bacterial translocation rate.

绝大多数抗生素虽然能减少胰腺细菌数量，但却影响微生态平衡，而清胰汤能明显减少肠道需氧菌数量，增加双岐杆菌和乳酸杆菌数量，降低细菌的移位率。

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。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。