AN ELEMENTARY SYSTEM AS AND ITS SEMI-COMPLETENESS AND DECIDABILITY

The author establishes an elementary system AS which contains functions +, ? and a constant 0 and then proves the semi-completeness and the decidability of AS, using the theory of systems of inequalities.     

基于新课程观下的高中物理实验教学目标分类研究

依据现代课程与教学目标取向以及《普通高中物理课程标准(实验)》精神，对高中物理实验教学目标从水平层次、概念内涵、具体内容和设计案例等方面进行了探究，以促使高中物理教学更具实效性，使课堂教学目标更富有物理学科特征．     

Neither even nor odd: Sixth grade students’ dilemmas regarding the parity of zero

This study investigates two sixth grade students’ dilemmas regarding the parity of zero. Both students originally claimed that zero was neither even nor odd. Interviews revealed a conflict between students’ formal definitions of even numbers and their concept images of even numbers, zero, and division. These images were supported by practically based explanations relying on everyday contexts. By using mathematically based explanations that rely solely on mathematical notions, students were able to correctly conclude that zero is an even number. Extending the natural number system in elementary school to include zero can be used as springboard to encourage the use of mathematically based explanations.     

对LP问题有无穷多最优解判别定理证明的补充

本文指出了文献［１］中关于“无穷多最优解判别定理”证明中的不足，并给出了完整的证明     

Generalized curve approach to elementary particles

The theory developed in Ref. 1 is applied in a simplified form to a relativistic one-particle universe, and boundary symmetry conditions are imposed. The existence, for the particle, of a series of resonance states and a series of gauge states is derived. For the proton and the electron, a selection of such states accounts for the elementary particles observed to date.Dedicated to L. CesariThis research was sponsored by the United States Army under Contracts Nos. DAAG29-75-C-0024 and DAAG29-80-C-0041.This work was carried out at IMPA while the first author was visiting there in November 1981.     

A simple and inexpensive two channel boxcar integrator

It is shown that the inclusion of a small amount of primary ionisation makes the solution to the discharge equilibrium problem single valued.     

全息图的计算机模拟及重现

根据光学全息原理,分析了在计算机模拟中把物光、参考光和再现光离散化的方法,并对基元全息和无透镜傅里叶全息进行模拟,实验结果逼真,这有助于学生更好地理解全息摄影的相关理论,为光学全息的理论和实验教学提供了可视化的验证。