用构造法解方程

中学课本里方程的解法多为常规方法,用它来解一些结构比较特殊的方程,或难以奏效或过于繁琐。本文提出的构造法,乃针对方程的特点构造出相关模式,然后借助它求出方程     

溶剂化效应在所谓“位阻效应”中的重要作用

SN2反应中 ,底物上的大基团会使反应速率明显降低。以前认为该现象完全源于位阻效应 ;但国外新近的研究结果显示 ,该现象的产生应当是溶剂化效应和位阻效应共同作用的结果 ,且溶剂化效应的贡献可能更大     

金属基底上吡咯光电化学聚合的研究

近年来,国内外对聚吡咯已进行广泛的研究,主要内容包括:电化学聚合,机理与结构表征,电化学氧化还原性质,聚吡咯的化学修饰。最近报导了半导体上吡咯的光电化学聚合。我们在低于吡咯电聚合电位下观察到聚吡咯的Raman讯号。本文研究在中性溶液中金属基底上吡咯的光电化学聚合,以及光源波长、强度和介质等因素的影响。     

有质量的弹簧的振动问题

弹簧振子是指轻弹簧系一物体所组成的系统.少数书刊则谈到质量为m的弹簧系一质量为M的物体所组成的振动系统,指出了它的振动周期是 其中k是弹簧的倔强系数,但是对于此式的来源或者不谈或者只从振动的观点作了不严格的推证. 本文试用波动的观点对有质量弹簧的振动问题作些严格的讨论.一弹簧中的波动方程 如图1所示,把原长为l、质量为m倔强系数为k的均匀柱形弹簧水平的放在光滑的桌面上,一端固定,一端系一质量为M的物体.当此系统受到沿x方向的扰动时,弹簧中将发生波动,其波动方程是其中y表示t时刻x处的位移.现在推导如下 波在弹簧中传播时,弹…     

特征结构配置的多项式阵法

在多变量线性控制系统的设计中，为了使闭环系统具有更好的性能，提出了闭环系统的特征结构配置问题.即fll用状态反馈、输出反情或设计动杰补偿器.佑闭环索统的极点     

Picosecond Stimulated Raman Scattering of SrWO4 Crystal

Stimulated Raman scattering （SRS） of picosecond pulses is investigated in a new crystal SrWO4. The second harmonic generation of a mode-locked Nd：YAG laser system is used as the pump source. In an external singlepass configuration, the SRS thresholds for the first to the fourth Stokes lines are measured. For the first Stokes line, the steady-state gain coefficient of the SrWO4 crystal is calculated to be 15.96cm//GW. In our experiment, as many as five Stokes lines （559.23 nm, 589.61 nm, 623.49 nm, 661.50 nm, 704.44 nm） and three anti-Stokes lines （506.97nm, 484.34 nm, 463.65nm） are observed, and the total conversion efficiency is as high as 62%.     

Evaluation of Optical Properties of Self-Frequency-Doubling Crystal Yb：GdYAl3（BO3）4 for Laser Applications

Yb：GdYAl3 （B03）4 （Yb：GdYAB） is investigated as a new laser crystal for potential applications in self-frequency doubling. The emission and absorption properties of Yb：GdYAB crystal are studied, and the emission decay times of the upper laser level are measured. The emission cross sections are evaluated using the absorption cross section and principle of reciprocity. The other laser performance parameters, such as the minimum inversion fraction βmin, pump saturation intensity Isat and minimum pump intensity 1rain, are also calculated. The results are discussed in the framework of requirements for an effective diode-pumped Yb^3＋ laser system. Yb：GdYAB is expected to exhibit the most useful laser properties and to be superior to Yb：YAB crystal that has been excellent self-frequency-doubling crystal at present in many key spectroscopic parameter values.     

一类非方系统的Morgan问题 *

讨论一类特殊情形的非方系统的Morgan问题,得到了问题有解的充分必要条件,给出了这一类系统判断其Morgan问题是否有解的算法.