推广的Boussinesq方程和KdV方程——Painlevé性质,Bcklund变换和Lax对

本文从Kadomtsev-Petviashvili方程的对称性约化出发,得到了具有任意函数作为变系数的推广的Boussinesq方程和推广的KdV方程.利用Weiss和Kruskal等建立的奇性分析方法,我们证明了这两个方程可积的充分条件:Painlevé性质。得到了这两个方程的Bcklund变换和奇性流形方程(推广的Schwartz-Boussinesq方程和Schwartz-KdV方程)。并由此将这两个方程线性化,即给出这两个方程的Lax对并包含有明显的与时间无关的任意谱参数。     

排序原理在微积分中的一些应用

利用排序原理证明了数列{(1 1/n)~n}收敛性,级数∑(n!e~n)/(n~n p)在p≤3/2时是发散的和几个不等式。     

多孔岩芯渗透率与孔隙度的MRI研究

运用自旋回波序列,得到一系列用盐水饱和的多孔岩芯的磁共振自旋密度象,可以直观、准确地观察岩芯的结构,并对象的信号强度与渗透率和孔隙度之间的相关关系进行了分析,发现它们之间存在良好的定性关系,得到了较好的结果.     

三倍折反式电视跟踪变焦距物镜的设计

<正> 一、引言根据高斯光学,物象垂轴放大率为:β=(y′/y)=-(f/x)=-(x′/f′)此式表明,某一确定距离上的固定大小目标,通过定焦系统所成象的大小是一定的。随着距离的改变,象的大小也相应地改变。如果要求象的大小不随距离x的变化而变化,则必须使焦距f作相应的变化,即应用变焦距系统。     

Low Resistivity C54 Phase TiSi2 Films Synthesized by a Novel Two—Step Method

Synthesis and growth properties of the TiSi2 film on a Si (001) substrate are investigated. A novel two-step method is used for deposition of the C54 phase TiSi2 film with low resistivity. The first step is the formation ofthe C49 phase TiSi2 at a relative low substrate temperature of 400℃, followed by rapid thermal annealing processat 850℃ in N2 for the formation of the C54 phase TiSi2 as the second step. Finally, selective wet, etching isemployed to remove the un-reaction Ti on the surface and the low resistivity C54 TiSi2 film can be obtained. Thefilms deposited under various parameters are evaluated by scanning electron microscopy, x-ray diffraction and the resistivity measurement. Compared with other sputtering technologies used commonly for TiSi2 synthesis,this two-step method has apparent advantages such as the mild synthesis temperature and the high purity of the final product with low resistivity, uniform large area and improving surface roughness. In addition, the film also shows that the low coefficient of resistivity-temperature appears in the temperature range from 20℃to 800℃.     

Symmetries and Strong Symmetries of the （3＋1）-Dimensional Burgers Equatio

The strong symmetries (recursion operators) and the inverse strong symmetries of a (3 1)-dimensional Burgers equation are given explicitly.Infinitely many symmetries of the considered model are obtained by acting the strong symmetries and the inverse strong symmetries on some seeds.An infinite-dimensional full Lie point symmetry algebra is also given.     

两种催化裂化干气加工利用方案的对比

催化裂化干气直接加工利用是炼厂副产气体综合利用的重要内容。本文选择工艺技术比较成熟的两种加工方案进行技术经济对比,结论是烃化制乙苯方案的经济性能比羰基化制丙醛、丙酸方案差,但从工艺开发成熟程度和市场需求来看,前一方案的发展规模将比后一方案大。     

自润滑轴承失效原因的XPS分析

用Ｘ射线光电子能谱仪（ＸＰＳ）对失效前后的自润滑轴承各部件表面的化学组成及其状态进行了分析，结果表明失效前后表面性质差异较大，失效是由于自润滑膜破损耗尽所致。     

粪箕笃中两个新颖的含硝基莲花氏烷型生物碱

Two unusual nitro-substituted hasubanan-type alkaloids, stephalonines J （1） and K （2）, together with ten known alkaloids, protostephanine, dehydrostephanine, （-）-stephanine, （-）-isolaureline, R-roemeroline, （＋）-pronuciferine, （ ＋）-stephafine, （ ＋ ）-N-acetylstephafine, （ ＋ ）-lirioferine, and （ ＋ ）-norlirioferine, were isolated from the whole plant of Stephania longa. Their structures were characterized mainly by spectroscopic methods including IR, MS, and NMR experiments, and the structures of 1 and 2 were further confirmed through chemical correlations with the known alkaloids stephalonines A （1a） and B （2a）, respectively.     

由4',4''-二羟基-2-甲酸－三苯基甲烷及其衍生物制备高碳超支化芳香聚酯

合成了一系列含羟基和乙酰氧基的超支化聚酯,将4',4'二羟基-2-甲酸－三 苯基甲烷（酚酞啉）直接缩聚和将4~＇,4~＂-二羟基-2-甲酸－三苯基甲烷进行酯 交换反应都成功得到了超支化聚酯,以PS作标准物,由GPC测得的重均分子量为 2000到8000,~13C NMR测试表明聚合物支化度略高于50%,聚酯的玻璃化转变温度 依赖于末端和侧基官能团类型,该超支化聚酯末端含有反应性官能团,具有类似线 性高分子的高的热稳定性,相比之下,由于其大分子的形状和官能团的影响,末端 为乙酰氧基的超支化聚枉费显示了优良的溶解性能,这与一般线性高分子大不相同 ,由于氢键的存在,末端为羟基的超支化聚酯的溶解性能不佳,但是酸酯显示了 优良的溶解性能,这与一般线性高分子大不相同,由于氢键的存在,末端为羟基的 超支化聚枉费的溶解性能不佳,但是酸化可破坏氢键网络,得到的超支化聚酯可深 于一般有机溶剂。