也谈数学课的结构艺术

数学理论的高度抽象性和概括性,使得数学课有别于其它学科的形象生动、活泼。若要再现数学的魅力,让学生钟情数学,教师在课前必须对课堂结构加以精心准备,文章就数学课的结构在展与收、讲与练、言与行三方面的关系加以系统分析,以期再现数学课的艺术特质。

A New Form of Quantum Mechanical Wave Equation Unifying Quantum Mechanics and Electro-Magnetics

The Schr?dinger differential equation is what we usually solve for the microscopic particles in non-relativistic quantum mechanics. Niels Bohr suggested the power two of the (usually) complex answer shows the probability of the particle’s existence at a point of space. Also, the time dependence of Schrodinger wave equation is one whereas for light in electromagnetism is two. In this paper, we show a solution for both problems. We derive a Wave Equation for the energy of every system. This electromagnetic wave equation is shown to convert to those classical (i.e. the Schrodinger) and special relativistic (i.e. Klein-Gordon) quantum mechanical equations. Also, accordingly there definitely is a physical meaning to answer to this wave equation. And therefore, switching the probabilistic interpretation of quantum mechanics to a deterministic one as (Albert) Einstein demanded.

空位现象与翻译的虚实观

英汉语的形合与意合之区别,作为衔接特征,属语篇的表层标志,最终受思维模式制约;思维模式有‘虚’‘实’之分。‘有无相生’。据此,‘形’与‘意’、‘虚’与‘实’应该是辨证统一、相互依存的关系。英语重形,形为实,但也不是没虚,‘空位’便是其一;汉语重虚,其实也有实,例如比类取象。英汉互译的过程是寻求虚实统一的过程。