实用的三维真彩色模压全息

三维真彩色模压全息图从艺术角度、信息量、技术含量和防伪功能均优于平面假彩色和平面真彩色模压全息图。本文分析了拍摄三维真彩色彩虹全息图的原理,给出了本方法实现实用三维真彩色模压全息的特点。     

相干驱动场的线宽对电磁感应透明的影响

考虑相干驱动场的线宽，探讨了其对双激发态原子三能级系统中的电磁感应透明现象的影响，得到结论：相干驱动场的线宽抑制了介质对弱探测光的透明。     

一个典型庭院式古戏场的音质测试与分析

在脉冲响应测试的基础上，研究了庭院式古戏场三山会馆的庭院、舞台、厢房和堂屋等空间的脉冲响应特征和音质参数的空间分布，对不同的观演区进行了初步的音质分析。结果表明：从清晰度和响度的分布来看，各观演区的音质优劣顺序是：楼上厢房及庭院前部听闻条件最好，楼下厢房及庭院后部居中，堂屋的听闻条件最差。     

斜投影画法的几何研究与计算机作图

对中国古代写实绘画所采用的斜投影画法进行了精确的数学描述 ,并利用所得结论给出了使用计算机进行作图的方法 .     

三圆盘扭振系统主共振的理论与实验研究

本文应用非线性振动的平均法，分析了一个具有立方非线性并受简谐激励作用的三圆盘扭振系统的第二阶主共振，求得了稳态响应的分岔方程，并进行了奇异性分析，理论结果与实验结果相符·     

Stress intensity factors for corner cracks at a hole under remote tension

The three-dimensional weight function method recently developed by the authors is used to determine stress intensity factors for two symmetric quarter-elliptical corner cracks at a hole in a wide finite-thickness plate subjected to remote tensile loading. The geometry parameters considered arer/t=0.5, 1, 2;a/c=0.2, 0.5, 1, 2;a/t=0.2, 0.5 withinc/r=2. The results are compared, where possible, with other solutions available in the literature. Generally good agreement is observed. The effect of an approximation of the two-dimensional unflawed stress distribution on the accuracy of stress intensity factors by the weight function method is discussed.     

二维三温热传导方程组的分数步隐式差分格式

本文给出一个解二维三温热传导方程组的分数步隐式有限差分格式，利用离散变分形式及能量方法，给出差分格式的最优阶离散H^1范数先验误差及稳定性估计。     

A reciprocity theorem for certain q-series found in Ramanujan’s lost notebook

Three proofs are given for a reciprocity theorem for a certain q-series found in Ramanujan’s lost notebook. The first proof uses Ramanujan’s ₁ψ₁ summation theorem, the second employs an identity of N. J. Fine, and the third is combinatorial. Next, we show that the reciprocity theorem leads to a two variable generalization of the quintuple product identity. The paper concludes with an application to sums of three squares. Dedicated to Richard Askey on the occasion of his 70th birthday. 2000 Mathematics Subject Classification Primary—33D15 B. C. Berndt: Research partially supported by grant MDA904-00-1-0015 from the National Security Agency. A. J. Yee: Research partially supported by a grant from The Number Theory Foundation.     

三维裂纹体应力强度因子的计算

本文采用塌缩三棱柱形奇异单元的位移计算应力强度因子，给出了一个新的全三维外推公式，它是Ｃｈｅｎ和Ｋｕａｎｇ公式〔１３〕的全三维推广，特例证明，它的精度比Ｉｎ－ｇｒａｆｆｅａ和Ｍａｎｕ的公式〔８〕高一阶。数值计算表明，结果稳定和对单元尺寸改变不敏感     

三轴运动模拟转台的结构对称性与动力学计算

本文给出了三轴运动模拟转台动力学相互作用的计算公式，并讨论了它的结构对称性问题。