In this paper,we use addition theory on the Abelian group to study two problems on the Abelian group, the direct problem ,that is, let A and B, what are properties and the structure of the sumset A+B? , and the inverse problem- when |A+B| is as small as possible, what are properties and the structure of the set A and the set B?The main work of this paper has three aspects.
本文应用加性理论，讨论了关于阿贝尔群(Abelian)的两个问题，一个是直接问题：已知A与B，和集A+B的构造与特性是什么?另一个是逆问题：当|A+B|较小时，A与B的构造与特性是什么?我们主要做了三个方面的研究：首先，我们介绍了一个关于整数和集的直接问题与逆问题的新结论；其次，讨论了|2A|在几种特殊情形下的计算；最后，我们应用关于阿贝尔群(Z_a_0，+)的加法数理论，在两种特殊的情况下我们改进Vitek’s界和Shen Jian’s界，从而获得关于的Frobenius数的一些新的估值公式。
Kinematics of Exact Model for a Super Thin Elastic Rod
超细长弹性杆精确模型的运动学问题
Research on Modular Algorithm of Inverse Kinematics for Robots;
机器人机构逆运动学问题的模块化算法研究
Research on the Inverse Kinematic Problem of Robot Manipulators Based on Neural Networks;
基于神经网络的机械手逆运动学问题的研究
Special Solutions of Dynamic Problems for Plane Motion of Rigid Body;
刚体平面运动动力学问题的特殊解法
An Analysis on the Sports and Nutritional Problems of University Student Football Players;
大学生足球运动员的运动与营养问题分析
Contemplation of sports psychology application in China;
我国运动心理学实践应用问题的分析
A Study of College Students’ Anxiety and the Sports Activities;
大学生焦虑问题与体育运动研究综述
A Preliminary Analysis of Some Problems with the Textbook"Athletic Anatomy";
浅析《运动解剖学》教材的某些问题
On the Issue of Aesthetics in Sports;
关于体育运动中诸多美学问题的思考
Psychological Problems and Sports;
现代大学生心理健康问题与体育运动
Thinking on Problems of Chinese Athletes Re-Employment From Socieology;
我国运动员再就业问题的社会学思考
A Few Issues in Learning from Dazai in Agriculture in Shanxi Province;
论山西农业学大寨运动中的几个问题
A Study of Legal Responsibility of P. E. Injury Accidents
大学生体育运动伤害的法律问题探讨
About Some Problems Of Maths Teaching In Athletic Sports College;
体育运动职业技术学院数学教学中的几个问题
The positive problem and negative problem of robot location kinematics is the relatively popular research area in the robotics.
位置运动学的正问题和逆问题是机器人学中研究得比较多的问题,尤其是逆问题。
Problems and countermeasures of CAI teaching in the sports physiology;
运动生理学CAI教学中存在的问题及对策
Exploration on some issues of specialty construction and development of the sports training theory;
运动训练学学科建设与发展若干问题的探讨
A Discussion on Some Problems in the Teaching of ATP in Exercise Biochemistry;
关于《运动生物化学》ATP教学的若干问题的探讨
