流道缩扩比对1+1/2对转涡轮高压动叶性能影响的研究

本文以1+1/2对转涡轮为背景,采用理论分析与数值模拟相结合的方法对某1+1/2对转涡轮高压动叶进行了优化设计.研究结果表明,流道缩扩比对高出口马赫数涡轮叶栅性能有重要影响,合理的流道缩扩比能减弱甚至消除尾缘内伸波,从而提升叶栅的性能.文中综合考虑了叶栅流道周向以及径向两个方向的扩张因素后选择了叶栅流道缩扩比,进行1+...     

培养学生科学思维和创新能力的研究与实践——谈大学数学研究型教学

通过从一个导数值等式的证明谈起,探讨教师在课堂教学中如何根据教学内容创设能激起学生新异感的问题情景,启发和引导学生发散思考,类比、联想、猜想,探索和发现新问题并给出解答.使学生思维不断攀升,丰富教学内容,激发学生兴趣,培养学生科学思维方法和创新能力.     

An optimized divergent synthesis of sulfonimide-based dendrimers achieving the fifth generation

Abstract

A novel two-step amine persulfonylation method described here results in significantly higher yields of sulfonimide-based dendrimers as compared with formerly available procedures. This allowed the preparation of the fifth-generation sulfonimide-based dendrimer for the first time, on a 2?g scale. Dendrimers of fourth and fifth generations decorated with naphthyl groups after being spin-coated on a glass substrate were shown to form stable hydrophobic films as revealed by contact angle measurements.     

白噪声分析中的梯度算子和散度算子

在白噪声分析的框架中，我们给出了广义Weiner泛函空间上的梯度算子和散度算子的定义与公式，并利用梯度和散度算子以及适应投影建立了广义泛函的表示公式．也证明了积分核算子可用梯度与散度算子表出．     

Investigations of nitrogen diffusion in austenitic CrNi steels

Parameters of the diffusion of N (up to 0.3 wt.%) in austenitic stainless steels (12 to 19 wt.% Cr, 12 to 16 wt.% Ni, up to 2 wt.% Mo) were determined within the temperature range of 1283–1573K. The small concentration gradients of N were successfully investigated using (1) mechanical serial sectioning technique in combination with either chemical N analysis or X-ray precision lattice parameter determination, and (2) measurements on microsections by means of either electron probe microanalysis or Kossel technique.The diffusion coefficients of N were found to be independent of its concentration. The alloying elements Cr and Mo reduce the N diffusivity in austenitic stainless steels which on the other hand is increased by Ni.     

On the stability of the J transformation

The stability of a large class of nonlinear sequence transformations is analyzed. Considered are variants of the J transformation [17]. Suitable variants of this transformation belong to the most successful extrapolation algorithms that are known [20]. Similar to recent results of Sidi, it is proved that the _p {J} transformations, the Weniger S transformation, the Levin transformation and a special case of the generalized Richardson extrapolation process of Sidi are S-stable. An efficient algorithm for the calculation of stability indices is presented. A numerical example demonstrates the validity of the approach. This revised version was published online in June 2006 with corrections to the Cover Date.     

Spectral and polarization analysis of optical images by means of acousto-optics

This paper presents results of a theoretical and experimental study of Bragg anisotropic diffraction. The diffraction may be used for filtration of optical radiation and processing of images. Special attention is devoted to the investigation of diffraction, which provides spectral filtration simultaneously with polarization analysis of divergent optical beams. A tunable tellurium dioxide acousto-optical filter for processing of optical images is described in the paper. Some experimental results of the image analysis in visible light and in the near-infrared region of the spectrum are discussed.     

Modified nodal point method for the measurement of the focal length of divergent lenses

The well-known nodal point method has been employed with some modification to measure the focal lengths of divergent lenses. In this modification, a telescope was used to locate precisely the nodal/principal point of the lens under test, and a travelling microscope was employed to locate precisely the focal point of the lens as well as to measure the focal distance. The accuracy of the measurement was found to be ± 0.5%, with the focal length of the order of about 10 cm.     

正规发散级数

本文推广了维数正规发散的古典概念，将幂级数的一个定理推广到很一般的情况，然后讨论其在各种复函数项级数中的应用．