钻研数学要借鉴古人治学经验

历史上一直处于领先地位的我国数学，从十七世纪起暂时落后了，通过十九世纪以来几代人的艰苦努力，深信我国数学也会和我国其他方面一样，在二十一世纪一定会重新回复到国际领先水平．数学说到底来源于实践，在继往开来、进行学习和研究时，我国古人的一些治学经验是值得...     

OU—型Markov过程的单点击中概率与Range

本文着重研究OU-型Markov过程的两个问题:第一,关于单点击中概率的问题,并在此基础上进一步确定OU型Markov过程局部时的存在性条件,这个问题的研究是受Kesten,H的影响,但本文中所用方法与[1]有本质的区别。第二,关于Range方面的问题,本文阐述了几类过程以概率1具有包含区间的Range。 关于OU型Markov过程,Tokuzo,Shiga研究了其常返性的判断准则,Sato,K研究了其平稳分布,Hadjiev,D,I,研究了其初遇问题,本文涉及的单点击中概率,局部时及Range尚没人研究过。     

磁场提高反应速率

直到最近,化学界人士一直认为,外加磁场的能量比起多数常见的激活能量来委实太小,因而不可能对化学反应起什么影响。可是。“化学反应这一概念并非只在于热力学方面。化学反应速率并非完全取决于能量因素,它们还     

数律条条美绝伦——2~(i/2)、π&e趋论,兼为火星大冲年而作

1　引论我们先引述古希腊最著名的评论家Proclus(普洛克努斯 )的一句名言 :哪里有数 ,哪里就有美 .———Proclus然而在那无穷多个数中比下述三个基本常数2、π&e更有名的数恐怕是寥寥无几了 .最近《数学传播》季刊发表了本文作者之一的一篇论文“高斯函数和它的一个现实原型” ,公布了 2的一个“优美比”① :22 =1 - 13+ 15 - 17+ 19- 11 1 +…1 + 13- 15 - 17+ 19+ 11 1 -…或2 =1 + 13- 15 - 17+ 19+ 11 1 -…1 - 13+ 15 + 17- 19- 11 1 +….从而由圆周率π的Gregory—Leibniz(格雷戈里—莱布尼茨 )展式 ,以及对数函数的幂级数展式 ,把…     

STUDIES ON THE PREPARATION OF ZINC-CONTAINING ACTIVATED CARBON FIBERS AND THEIR ANTIBACTERIAL ACTIVITY

1. INTRODUCTION Microbial pollution will bring about various problems in industry and other vital fields, such as causing decomposing of materials, harming people抯 health. In order to reduce these problems, new antibacterial materials have been demanded. Recently, much attention has been paid to inorganic materials including zinc oxide [1~4]. These inorganic antibacterial materials are now substituting for organic materials to avoid releasing noxious organic molecules harmful to humans;…     

双端氧配位原子簇化合物——[Fe(MoS_4O)_2][N(C_2H_5)_4]_3的晶体结构和分子结构

本文报道了含双端氧配位的Mo—Fe—S原子簇化合物[Fe(MoS_4O)_2][N(C_2H_5)_4]_3的合成、晶体结构和分子结构。该化合物的晶体属单斜晶系,P2_1/n空间群,晶胞参数为:a=13.019(4),b=16.959(5),c=18.234(5),β=97.34(2)(°),z=4。最终一致性因子为:R=0.0740,R_w=0.0598。该化合物中的Mo—S_t端键和Mo—S_b桥键比不合端氧配位的相应化合物Mo—S键长长得多,可能是由于Mo的价态降低和氧的电负性比硫大得多,氧对Mo的配位使s→→O发生电荷转移的缘故。     

Synthesis, Structure and Conductivity of the New Charge-transfer Salt (ET)_2(CH_2=CH-CH_2-SO_3)·H_2O

ET is one of the most famous electron-donor molecules, which forms charge-transfer complexes (abbr. CT-complexes) with various types of counterions. These complexes have received intense attention because a wide range of physical properties such as conductivity and superconductivity1, ferromagnetism2-4 and nonlinear optical properties5 was found in these materials. Although the majority of the ET-based CT-complexes were prepared by combining with inorganic counterions, CT-complexes with o…     

偏序集上的滤子极大理想

在偏序集上引入并考察了滤子极大理想的概念,证明了相应的存在性定理。引入并考察了伪极大元和伪既约元的概念,利用图表的形式对连续格中各种类型的既约元和素元之间的关系进行了归纳总结,完善了文献《Continuous Lattices and Domains》(作者:G.Gierz,et al)中的一个图表的相关内容,填补了在分配的连续格情形该图表的一个未知内容,部分地回答了该文献中的一个问题。     

Spatial Soliton Solutions in a Harmonic Potential

The F-expansion technique and the homogeneous nonlinear balance principle have been applied for solving a general （19-1）-dimensional nonlinear Schrodinger equation （NLSE） with varying coetficients and a harmonic potential. A family of （1＋1）D spatial solitons has been obtained. The evolution features of exact solutions have been investigated.     

Interference of Quantum Chaotic Systems in Phase Space

We investigate the interference of a kicked harmonic oscillator in phase space.With the measure of interference defined in Lee and Jeong[Phys.Rev.Lett.106(2011)220401],we show that interference increases more rapidly in the chaotic regime than in the regular regime,and that the sub-Planck structure is of importance for the decoherence time in the chaotic regime.We also find that interference plays an important role in energy transport between the kicking fields and the kicked harmonic oscillator.