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An example shows that the differentiable structures can indeed be different, even though they are isomorphic.
      
the volume computations involve several different methods according to the parity of dimension, subgroup relations and arithmeticity properties.
      
Our proof is based on a different approach and is much more rigorous.
      
In the process we study the properties of different homogeneous models for ${\mathbb H}H(n).$
      
The constants obtained are independent of the dimension n and depend only on k,p, and the number of different eigenvalues of the matrix B.
      
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The relations among the various elements of a conductance matrix may be expressed in certain fotms of inequalities, These inequalities are different for conductance matrices corresponding to different trees of the ports. In this paper these inequalities are fullydiscussed, and several important theorems concerning them are derived. When the tree ofthe ports corresponding to a given condu6tance matrix of order n is determined from itssign matrix, the application of these theorems will yield the conditions...

The relations among the various elements of a conductance matrix may be expressed in certain fotms of inequalities, These inequalities are different for conductance matrices corresponding to different trees of the ports. In this paper these inequalities are fullydiscussed, and several important theorems concerning them are derived. When the tree ofthe ports corresponding to a given condu6tance matrix of order n is determined from itssign matrix, the application of these theorems will yield the conditions for realizability of the given matrix with an n+1 node network.

对应不同端对树的电导矩阵,其各元素之间存在着一些不同的不等式关系。本文详细地讨论了这些不等式关系,并得出了几个有关重要定理。当给定的n阶电导矩阵的端对树从符号矩阵确定后,就可根据这些定理导出将给定电导矩阵实现为具有n+1节点网络的条件。

This N/C language system as an applied software in CAM can process sculptured (fre3) surface to simplify the conplicated surface part programming. The format of its' statements conforms the description of set concept. These statements may give us a completed description about mathematical model, and aa intuitional and technological feature. The system written by FORTRAN Ⅳ has a hierachical modular construction, which is divided into three main sections: complier, mathematical processor, post processor. The mathematical...

This N/C language system as an applied software in CAM can process sculptured (fre3) surface to simplify the conplicated surface part programming. The format of its' statements conforms the description of set concept. These statements may give us a completed description about mathematical model, and aa intuitional and technological feature. The system written by FORTRAN Ⅳ has a hierachical modular construction, which is divided into three main sections: complier, mathematical processor, post processor. The mathematical processor provides users with three options: Coons surface, Be'zier surface, Ruled surface. In Coons surfaces' patch the twist vectors are derived from mixed "partial derivatives. And in Be'zier surface which may be derived or from Bs'zier polygonal vertices or from the data points (uniform) of a given surface. In additional statements to satisfy different users' demands the system provibes yet some special functions. There are also some options for users to select the output message.This system has been adopted in a factory which used it to process the fine blade dies. They got a better accuracy keeping surface tolerance less than 0.02~0.03m.m.

本语言系统作为计算机辅助制造中的一个应用软件,可以处理自由曲面,以简化复杂曲面的数控编程工作、语言格式符合曲面的集合描写概念。具有曲面数学模型的完整描述,同时又具有工艺性和直观性。系统主要用FORTRAN Ⅳ编写,为模块分层结构,共分三个主要模块:编译模块、数学处理模块、后置处理模块。数学处理可提供三种选择:COONS曲面、BEZIER曲面、直纹曲面。在COONS曲面块(PATCH)中扭矢由混合偏导数求出。在BEZIER曲面中用户可以给出多边形顶点或直接给出型值点(均匀分布)。系统还提供了某些特殊功能,以满足不同用户的需要。输出信息亦可有几种选择。

The effects of parameters of optical beam splitter on-Doppler signals in a dual beam LDV were discussed, and the formulae about these effects were given. The effect on signals caused by the influence of different ratios of fringe separationto diameter separations to diameters of scattering particles was calculated by the author. It showed(?)a great difference between the round cross section of particles and the square cross section that calculated by others before.With an example of designing a laser sea...

The effects of parameters of optical beam splitter on-Doppler signals in a dual beam LDV were discussed, and the formulae about these effects were given. The effect on signals caused by the influence of different ratios of fringe separationto diameter separations to diameters of scattering particles was calculated by the author. It showed(?)a great difference between the round cross section of particles and the square cross section that calculated by others before.With an example of designing a laser sea current meter, the method electing the spacial period of fringe with respect to match the diameter of scattering particles was recomended. Finally, an configuration in which those parameters could be adjected independently was introduced.

本文着重讨论了双光束条纹型激光多普勒测流系统中,光学分束系统参数与散射信号的关系,列出了有关的公式。计算了园形截面的散射颗粒直径与干涉条纹周期呈不同比值时对信号的影响,其结果与以前采用矩型截面进行计算的结果差异较大。以设计一台激光海流计为例,推荐一种以选择与散射粒径相匹配的条纹周期为出发点的光学参数选择方法。最后介绍作者提出的为实现这种选择的光学布置。

 
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