新超复结构和Clifford分析

本文在Ｈ．Ｍａｌｏｎｅｋ［１］新的超复结构的意义下，研究Ｃｌｉｆｆｏｒｄ分析中Ａ值函数超复可微性及其一种新的锁链规则和微分法则．     

单纵模Nd∶YAG激光抽运CH_4中强后向受激拉曼散射

用单纵模Nd∶YAG二倍频激光[波长532 nm,线宽Δνp<100 MHz,脉宽(半峰全宽)6.5 ns]抽运CH4气体,观察到很强的后向一级斯托克斯(BS1)受激拉曼散射,这与前人采用脉宽30 ns的单纵模抽运激光得到的绝大部分为后向受激布里渊散射(SBS)完全不同,其原因是脉宽6.5 ns与本实验条件下CH4的受激布里渊散射声子寿命接近,受激布里渊散射处于瞬态。理论计算表明,这时的受激布里渊散射瞬态增益系数已略小于后向一级斯托克斯的增益系数,而被其竞争抑制。当脉冲重复频率为2 Hz,抽运能量为95 mJ时,在1.1 MPa CH4中,后向一级斯托克斯的量子转换效率高达73%,其时间波形出现张弛振荡,脉宽被压窄到1.2 ns,从而使后向一级斯托克斯峰值功率达到了抽运激光功率的2.7倍,而且其光束质量要大大优于抽运激光的光束质量。用编制的准二维计算机模型程序相当好地再现了实验中后向一级斯托克斯的时间波形张弛振荡。     

Mapping an underground rock mass by anisotropic acoustical transmission tomography

This paper briefly describes an acoustical transmission traveltime tomography method to simultaneously account for the anisotropy and heterogeneity of media. This method is applied to real data gathered at the rock wall of an underground plant in southwest China. The anisotropic tomograms reveal the rock wall features, which coincide well with the site observations, and provide very useful information for the evaluation and reinforcement of the rock wall.     

弱于H~1空间的L~2-临界非线性Schrdinger方程的柯西问题

讨论H~s(R~n)(n≥1,1-ε0是一个可以表出的很小的数.主要结论给出了在有限时间破裂解的L~2集中现象.同时,作为推论,得到了小初值解的整体存在性.     

Vortex glass phase and flux creep in YBa2Cu3O y epitaxial film

Nonlinear I–V characteristics of YBa₂Cu₃O _y epitaxial film at different temperatures in a magnetic field of up to 5T and angles between the direction of the field and the a–b plane of 0°, 30°, 45°, 60°, and 90° were measured. We find that there are the vortex glass phase and vortex liquid phase in the mixed state. The flux creep exists in the vortex glass phase, and it obviously appears in the area around the boundary between the vortex glass phase and the vortex liquid phase.     

电子对Cl2的离解附着

在电子平均能量为3—5电子伏的范围内,测定了Ar/Cl₂混合物中,电子对Cl₂的离解附着速率常数。结果表明,电子平均能量为3.5电子伏时,离解附着速率常数为(3.2±0.4)×10^-10厘米³/秒,并考察了速率常数与电子平均能量的关系。这些实验结果与最近Los Alamos国家实验室研究者们的类似工作的结果是一致的。 关键词：     

Hermite—Λ插值样条

In this short note, we discuss a kind of splines which are associated with some linear differential operators. These Splines are called Hermite-Λ interpolating splines which may be regarded as a generalization of piecewise Hermite interpolations. The main result is: Let f (x)∈C⁴[a,b],τ(x) be the Hermite-Λ interpolating spline to f(x), if h is sufficiently small, then (?).     

Clifford分析中奇异积分的Poincaré-Bertrand置换公式

借助于多元复分析的思想，本文证明了Ｃｌｉｆｏｒｄ分析中奇异积分的Ｐｏｉｎｃａｒé－Ｂｅｒｔｒａｎｄ置换公式．     

Most vital links and nodes in weighted networks

The n most vital links (or nodes) in a weighted network are those n links (nodes) whose removal from the network results in the greatest increase in shortest distance between two specified nodes. Preliminary results are presented for obtaining these entities.     

A cyclic hexapeptide comprising alternating alpha-aminoxy and alpha-amino acids is a selective chloride ion receptor

In nonpolar solvents, the cyclic hexapeptide 2, which comprises alternating D-alpha-amino and D-alpha-aminoxy acids, adopts a C3-symmetric conformation with alternating eight (N--O turns)- and seven (gamma turns)-membered-ring hydrogen bonds. A series of anion-binding studies has suggested that 2 can function as an effective anion receptor that not only displays a high selectivity for chloride ions, but also the capability to extract chloride ions from aqueous solutions into organic phases.