二重复数方法求解含有电磁场的轴对称引力场

讨论由已知的真空引力场解生成含有电磁场解问题,并求出静电势和静磁势.首先利用双曲复数将Chandraskhar的含有带电体的引力场方程化成双曲Ernst方程,这样可以利用双曲复数的Ernst解生成静电势、度规.相反还可以用Bonnor的结果求得真空的新解.应用二重复数方法将Catenacci的结果二重化,直接产生静电势和静磁势,并讨论其物理意义.     

用二重递推计算求解柱对称爱因斯坦真空场方程

应用二重复函数方法，通过坐标变换将柱对称真空引力场的双曲型二重复Ｆｕｚｚｙ方程推广为一种便于进一步利用的新形式的方程组。从该方程组的已知种子解出发，通过一组递推公式，可计算出场方程的新解。并且，可以通过这些递推公式的多次迭代计算，生成更多的新解。     

约化轴对称Einstein-Maxwell场方程的统一二重Ernst形式及其新解

本文将二重复函数方法应用于更大范围，同时处理轴对称Ｅｉｎ－ｓｔｅｉｎ－Ｍａｘｗｅｌ方程的三种重要约化情况：稳态真空、静电和静磁场方程，将它们写为统一的二重复Ｅｒｎｓｔ形式。由此进一步得到了各约化情况解之间的一些变换关系，其中之一实现了Ｂｏｎｎｏｒ变换的解析延拓，并做为应用实例，具体给出了一些解，其中许多是新的。     

Interaction of Waves in Two-dimensional Steady Isentropic Flow

ＩｎｔｅｒａｃｔｉｏｎｏｆＷａｖｅｓｉｎＴｗｏ┐ｄｉｍｅｎｓｉｏｎａｌＳｔｅａｄｙＩｓｅｎｔｒｏｐｉｃＦｌｏｗ＊ＨｕＺｈｉｍｉｎｇ（扈志明），ＺｈａｎｇＴｏｎｇ（张同）＋ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＴｓｉｎｇｈｕａＵ...     

Ernst Cassirer's transcendental account of mathematical reasoning

Cassirer's philosophical agenda revolved around what appears to be a paradoxical goal, that is, to reconcile the Kantian explanation of the possibility of knowledge with the conceptual changes of nineteenth and early twentieth-century science. This paper offers a new discussion of one way in which this paradox manifests itself in Cassirer's philosophy of mathematics. Cassirer articulated a unitary perspective on mathematics as an investigation of structures independently of the nature of individual objects making up those structures. However, this posed the problem of how to account for the applicability of abstract mathematical concepts to empirical reality. My suggestion is that Cassirer was able to address this problem by giving a transcendental account of mathematical reasoning, according to which the very formation of mathematical concepts provides an explanation of the extensibility of mathematical knowledge. In order to spell out what this argument entails, the first part of the paper considers how Cassirer positioned himself within the Marburg neo-Kantian debate over intellectual and sensible conditions of knowledge in 1902–1910. The second part compares what Cassirer says about mathematics in 1910 with some relevant examples of how structural procedures developed in nineteenth-century mathematics.     

视知觉与绘画二议

在欣赏绘画时,观众的感受是一个综合了生理学、心理学等多方面的复杂过程,科学家对此已经关注了 多年,并取得了引人注目的研究成果。本文介绍了马赫带效应、眼球运动和浦肯雅现象等视觉生理特点对绘画 观赏的影响。     

不同形状拉伐尔喷嘴中气粉流的理论研究

根据作者关于拉伐尔喷嘴中气粉流的数学模型，采用确定喷嘴临界截面的马赫数检验法，对不同形状拉伐尔喷嘴中气粉流的行为做了理论研究，数值计算表明，气体速度和粉粒速度均随曲粒半径的增大而增大，拉伐尔喷嘴的长度则随曲率半径的增大而减小。     

从夫琅和费和阿贝看创新人才的作用

夫琅和费和阿贝对物理学进行了重要研究并做出巨大贡献,特别是地光学领域的贡献极具创新性,由此说明创新型人才对科学技术的进步和企业的发展往往具有关键的甚至是决定性的作用,创新型人才应尽可能利用最新科技成果,应经得起失败和挫折,高校应特别注意对创新型人才的培养。     

On Mach on time

Mach's views on the nature of time have been unduly neglected. They are both more defensible in their own historical context and more relevant to our own contemporary context than has been appreciated. This essay provides an extended and comprehensive discussion of Mach's writings on time offering novel analysis and interpretation. Contra the prevailing current in the secondary literature, Mach's views on time are shown to be largely vindicated in the context of late nineteenth century physics. Then, building upon this more historical project, we conclude with a critical evaluation of the modern Machian view of time due to Barbour within the context of relativistic chronometry as instantiated via pulsar clocks and atomic clocks. Once more, considered analysis serves to support the Machian view. About time we go back to Mach.     

卡普技术哲学的三个基本问题

卡普是西方技术哲学的奠基人,其所创立的器官投影说有着深刻的社会背景、技术基础、理论渊源和经验来源。通过外形模仿、结构仿真和功能模拟三种途径,卡普实现了从人体器官到器物技术的投影,并创立了著名的器官投影说。器官投影说是一份比较完整的现代西方技术哲学研究纲领,对西方技术哲学的未来发展产生了深远的影响。