讨论函数奇偶性时应注意的问题

在国内出版的高等数学教科书上,大都有这样一道证明题;不论f(x)是定义在区间(-l,l)内的怎样的函数,则f(x) f(-x)是一个偶函数,f(x)-f(-x)是一个奇函数.这道习题,笔者所看到的题解和学生的作业,大都是这样证明的:     

Absence of Charge-Resonance-Enhanced Ionization in Attosecond Pulse Photoionization： Numerical Result on One-Dimensional H2^＋

We present a numerical result of photoionization rate for the one-dimensional molecular hydrogen ion model exposed to intense light of 1 × 10^16-2×10^16 W/cm^2, 55-as pulse duration, and 800nm wavelength. In contrast to the previous calculation result of charge-resonance-enhanced ionization for lower intensity and much longer pulse, our result exhibits an ionization saturation. The numerical results are interpreted in the field-dressed potential picture as over-the-barrier liberation of electrons. This extremely short pulsewidth and relatively high field phenomenon requests experimental demonstration.     

THE FRACTAL BEHAVIOUR OF CRACK PROPAGATION IN BRITTLE MATERIALS

In this paper we try to show how a reasonable equation for crack propagation in brittle materials naturally leads to self-affine or statistically self-similar failure structures. We argue that the fractal behaviours of crack propagation in brittle mate-rials are in essence determined by the scale-invariance of the Fokker-Planck equation. This approach provides a good illustration for understanding the microscopic origin of fractal behaviour in real materials.     

可燃气流的引燃——<一>层流边界层内炽热板的引燃

通过跟踪引燃过程中化学反应激发区域的发展,以其扩展中由量变到质变的转折态,作为表征引燃的判据。以此分析了炽热平板层流边界层内可燃气流的引燃,给出了描述引燃的着火临界条件。在<二>中讨论了湍流混合区内高温已燃气对其可燃气流的引燃问题。这种模型,提供了统一处理各类工程引燃问题的可能。     

结合环的近似诣零根与广义诣零根

本文的第一部分证明了近似诣零根为零的环的构造定理,第二部分给出了近似诣零根和广义诣零根的模刻划.     

XeCl激光泵浦高压氢的衍射极限SRS斯托克斯光输出

利用XeCl准分子激光在高压氢中产生受激喇曼散射获得峰值功率为0.2MW、衍射极限发射角的一阶(353nm)斯托克斯输出,井研究了泵浦激光发散角对受激喇曼散射转换效率的影响.