巧解高考题

题目（2008年江苏）某地有三家工厂。分别位于矩形ABCD的顶点A，B及CD的中点P处，已知AB=20km，CB=10km，为了处理三家工厂的污水，现要在矩形ABCD的区域上（含边界）。且与A，B等距离的一点O处建造一个污水处理厂，     

Single-material guided-mode resonance filter for TE waves under normal incidence

<正>A guided-mode resonance(GMR) filter with the same material(Ta_2O_5) for both the grating layer and the waveguide layer is designed and fabricated.This simple structure is easy to fabricate and can avoid the defects at the grating/waveguide interface using different materials.The spectral response measured with a Lambda 900 spectrophotometer under normal incidence for TE waves exhibits a peak reflectance exceeding 80%at the wavelength of 1040 nm with a full-width half-maximum(FWHM) linewidth of 23 nm.We evaluate the deviations of the fabricated structure from the designed parameters.     

非线性Schrdinger方程(Ⅰ):Bose-Einstein凝聚和怪波现象

非线性Schr(o|¨)dinger方程是非线性科学领域的最基本的方程之一,本文综述该方程的两个有趣的现象:怪波和Bose-Einstein凝聚,最后提出一些相关的公开问题.     

大学物理中几个常见超越方程解的渐近表示

简要介绍了布尔曼一拉格朗日级数,并推出了几个常见超越方程的解的渐近表示.     

对一道探究型试题的研究

解题的能力是中学数学教师的基本能力,能够在抓住图形的结构和题目的本质特征前提下,进行一题多解、一题多变、多解归一的研究,对提高青年教师的解题研究能力、促进数学教师专业化水平的提升,有重要的促进作用.     

Wavelets with differential relation

Divergence-free wavelets are successfully applied to numerical solutions of Navier-Stokes equation and to analysis of incompressible flows. They closely depend on a pair of one-dimensional wavelets with some differential relations. In this paper, we point out some restrictions of those wavelets and study scaling functions with the differential relation; Wavelets and their duals are discussed; In addition to the differential relation, we are particularly interested in a class of examples with the interpolatory property; It turns out there is a connection between our examples and Micchelli’s work.     

具有非局部时滞的扩散Nicholson苍蝇方程的波前解

研究了具有非局部时滞的扩散Nicholson苍蝇方程,其中时滞由一个定义在所有过去时间和整个一维空间区域上的积分卷积表示.当时滞核是强生成核时,根据线性链式技巧和几何奇异扰动理论,获得了小时滞时波前解的存在性.