Mathematics Reading

A great discovery solves a great problembut there is a grain of discovery in the solu-tion of any problem.Your problem may bemodest;but if it challenges your curiosityand bring into play your inventive faculties,and if you solve it by your own means,youmay experience the tension and enjoy the tri-umph of discovery.Such experience at a sus-ceptible age may create a tasle for mentalwork and leave their imprint on mind andcharacter for a lifetime.     

博湖县芦苇板厂苇板生产线的技术改造

博湖县芦苇板厂苇板生产线的技术改造杨发宝，林庶宏，杨隽，钟晓敏（新疆大学计算中心，乌鲁木齐８３００４６）１概述巴州博湖县苇板厂利用协所瞩用丰富的芦苇资源作原料，生产出的芦苇板畅销全国各地，以芦苇为原料问作人拉饭，该厂用国内第一家．在等权的生产过程中，...     

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     

逻辑推理趣题

在日常生活中常常碰到一些有趣的问题,我们称之为趣题,记得几年前有位高中同学问我这样一个问题. 问题王慧、张红、李欣三位同学中有一位放学后把教室打扫干净了,事后,老师问他们三人是谁做的好     

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.     

关于离散型随机变量的期望与方差一节教学的三点看法

离散型随机变量的期望与方差是新教材的新增内容 ,极大多数高中数学教师除了在大学学习过以外 ,在中学教学实践中是初次碰到 .对这个内容如何教学大家深感陌生 ,甚至对有些内容自己也理解不深 ,对教学带来很大的不利 .本文旨在根据笔者讲授这个内容的感受 ,谈三点看法 ,供同行参考 .1　关于教材中一个内容的理解为了便于说明 ,我们将数学教材第三册(选修 ) P10推导公式 E(aξ +b) =a Eξ+b的整个过程摘录如下 :若η=aξ+b,其中 a,b为常数 ,则η也是随机变量 .因为 P(η=axi +b) =P(ξ=xi) ,i=1,2 ,3,… ,所以η的分布列为η ax1 +b ax2 +…     

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．