Mathematics Reading Education in Mathematics

Mathematics has been regarded as essen-tial to liberal education at least since Platomaintained that proficiency in mathematicswas a prerequisite for the study of philoso-phy.Today a good education in mathematics     

关于紧光滑流形上半鞅随机微分方程在欧氏空间的嵌入

关于微分流形上随机微分方程的显式解结构研究,上直是随机分析学中倍受关注的问题。文[3]借助光滑流形上非退化椭圆算子产生Riemann度量的思想,把光滑流形上具有非退化扩散项的随机微分方程提升到光滑流形的正标架丛上,从而给出了随机微分方程的     

平面上Volterra型随机微分方程解的轨道惟一性

In this paper we prove the pathwise uniqueness of a kind of two-parameter Volterra type stochastic differential equations under the coefficients satisfy the nonLipschitz conditions. We use a martingale formula in stead of Itǒ formula, which leads to simplicity the process of proof and extends the result to unbounded coefficients case.     

Time—Resolved Photoluminescence Studies of AlInGaN Alloys

We study the two samples of AlInGaN,i.e.,1-μm Gan grown at 1030℃ on the buffer and followed by a 0.6μm-thick epilayer of AlInGaN under the low pressure of 76 Torr and the AlInGaN layer deposited diectly on the buffer layer without the high-temperature GaN layer,by temperature-dependent photoluminescence(PL) spectroscopy and picosecond time-resolved photoluminescence(TRPL) spectroscopy.The TRPL signals of both the samples were fitted well as a stretched exponential decay at all temperatures,indicating significant disorder in the material.We attribute the disorder to nanoscale quantum dots or discs of high indium concentration.Temperature dependence of dispersive exponent β shows that the stretched exponential decay of the two samples comes from dfferent mechanisms.The different depths of the localization potential account for the difference,which is illustrated by the results of temperature dependence of radiative recombination lifetime and PL peak energy.     

均匀分层介质中标准矢量波函数的构成

研究了在均匀分层介质中构成标准矢量波函数的必要条件。研究结果表明在均匀分层介质中构成标准矢量波函数一般需遵循Morse-Feshbach判据外，领示矢量只能选取与折射率变化方向一致的那根坐标轴单位矢量。但在某些特定的条件下，对领示矢量的选取条件可以放宽为只需遵循Morse-Feshbach判据即可。     

等径管道的三维重建

由轮廓线重建物体的现有方法，不能准确地恢复原有管道的形状．本文提出了一种等径管道的三维重建方法，能较为准确地恢复原管道的三维结构．     

PROFILE MINIMIZATION PROBLEM FOR MATRICES AND GRAPHS

ＰＲＯＦＩＬＥＭＩＮＩＭＩＺＡＴＩＯＮＰＲＯＢＬＥＭＦＯＲＭＡＴＲＩＣＥＳＡＮＤＧＲＡＰＨＳＬＩＮＹＩＸＵＮ（林詒勋）；ＹＵＡＮＪＩＮＪＩＡＮＧ（原晋江）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＺｈｅｎｇｚｈｏｕＵｎｉｖｅｒｓｉｔｙ，Ｚｈｅ...     

对加速器驱动洁净核能系统散裂靶问题的探讨

简述了加速器驱动洁净核能靶系统的研究现状和存在的问题，对进一步可开展的工作提出了建议． The present status of the study on the neutron production rate, the neutron energy spectrum and the radiative nuclear production from the target spallation in accelerator driven clean nuclear system is presented. The Monto Carlo simulation and the related physics are also discussed. Their further improvement and the suggestions for the work to be done in China are proposed.     

Smale横截同宿定理的推广与Lozi映射的混沌现象

该文首先将平面上的λ入引理及Ｓｍａｌｅ横截同宿定理推广到映射力局部不可微的情形，进而讨论了Ｌｏｚｉ映射的混沌现象，得到了一组保证该映射产生混沌的充分条件，详见图５．     

二甲亚砜氯化镨的堆积模型推测与结构研究

本文根据堆积模型推测二甲亚砜氯化稀土LnCl_3·4DMSO的分子结构为[Ln(DMSO)_8][LnCl_6],与对PrCl_3·4DMSO的晶体测定结果一致。象[Pr(DMSO)_8][PrCl_6]这样的镧系元素配合物结构类型是首次报道。