相干光在嵌有随机粉粒和麻坑的表面上的主反射场

运用“随机随机游动”模型导出了相干光波射在嵌有随机粉粒和麻坑的表面(表面本身也有随机起伏)上时,其主反射场的期望值的表达式,并以正态分布为例作了计算。 关键词：     

X射线连续谱晶体单色器的分辨率

本文讨论了在连续X射线谱的情况下,例如EXAFS谱时,晶体单色器的能量色差。根据连续谱强度随能量变化很小的特点,将其强度看作一常量,提出了计算平晶及Johann,Johansson弯晶单色器平均分辨率的计算方法。同时也指出了以往文献中关于Johann法反射几何分析的一些不当之处。并证明Johann法能得到比过去人们所估计的好得多的分辨率。 关键词：     

High-resolution laser excitation spectra of linear triatomic molecules: Analysis of the B2Σ+-X2Σ+ system of SrOH and SrOD

Single-mode cw dye laser excitation spectra of the (0, 0⁰, 0)-(0, 0⁰, 0), (1, 0⁰, 0)-(1, 0⁰, 0), (0, 1¹, 0)-(0, 1¹, 0) bands of the 611- to 607-nm system of SrOH and SrOD were observed and assigned. The spectrum is consistent with a ²Σ-²Σ system where the molecule is linear in both electronic states. The rotational analysis is obtained by measuring P-R separations in the excitation spectrum. A technique which greatly aided in the spectral assignment that utilizes a monochromator as a bandpass filter in obtaining excitation spectra is described. A new spin-rotation constant, γ⁽⁺⁾ - γ^(?), was found necessary to fit the l-type doubling of the (0, 1¹, 0) mode in B²Σ⁺ of SrOH. This new constant is assumed to arise from two ${}^2\text{Σ}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}$ vibronic states, split by Renner-Teller interaction, of the (0, 1¹, 0) mode of A²Π. From a perturbation treatment of this electronic interaction, ?ω₂ of the (0, 1¹, 0) mode of A²Π was found to be 14 cm^?1. The linear structure of SrOH and SrOD in both electronic states is consistent with the model, in the one-electron approximation, in that the transition involves the promotion of the unpaired 5s to the 5p orbital localized on the strontium.     

地声信号的过零点分析

本文提出地声信号时域分析的方法——过零点率分析。这个方法可以分析环境地声信号的时变结构。文中给出了理论描述和初步实验结果。     

The Generalized Uncertainty Principle

The uncertainty principle lies at the heart of quantum physics, and is widely thought of as a fundamental limit of the measurement precision of incompatible observables. Here it is shown that the traditional uncertainty relation in fact belongs to the leading order approximation of a generalized uncertainty relation. That is, the leading order linear dependence of observables gives the Heisenberg type of uncertainty relations, while higher order nonlinear dependence may reveal more different and interesting correlation properties. Applications of the generalized uncertainty relation and the high order nonlinear dependence between observables in quantum information science are also discussed.     

DIMENSIONS FORRANDOM SELF——CONFORMAL SETS

A set is called regular if its Hausdorff dimension and upper box-counting dimension coincide. In this paper, we prove that the random self-con formal set is regular almost surely. Also we determine the dimen-sions for a class of random self-con formal sets.     

Ideals and Subalgebras in BCI-Algebras

We prove that there exists a maximal ideal of a BCI-algebra X in which each subalgebra is an ideal.AMS Subject Classification (1991): 06F35, 03G25.The second author was supported by the LG Yonam Foundation (1995).     

A Comparative Study on Dynamic and Static Sparsity Patterns in Parallel Sparse Approximate Inverse Preconditioning

Sparse approximate inverse (SAI) techniques have recently emerged as a new class of parallel preconditioning techniques for solving large sparse linear systems on high performance computers. The choice of the sparsity pattern of the SAI matrix is probably the most important step in constructing an SAI preconditioner. Both dynamic and static sparsity pattern selection approaches have been proposed by researchers. Through a few numerical experiments, we conduct a comparable study on the properties and performance of the SAI preconditioners using the different sparsity patterns for solving some sparse linear systems. This revised version was published online in July 2006 with corrections to the Cover Date.     

A multilevel block incomplete cholesky preconditioner for solving normal equations in linear least squares problems

An incomplete factorization method for preconditioning symmetric positive definite matrices is introduced to solve normal equations. The normal equations are form to solve linear least squares problems. The procedure is based on a block incomplete Cholesky factorization and a multilevel recursive strategy with an approximate Schur complement matrix formed implicitly. A diagonal perturbation strategy is implemented to enhance factorization robustness. The factors obtained are used as a preconditioner for the conjugate gradient method. Numerical experiments are used to show the robustness and efficiency of this preconditioning technique, and to compare it with two other preconditioners.     

具有鉴相特性g()=(1+k)sin()/1+kcos()的三阶锁相环路方程奇点的拓扑结构

本文研究了具有鉴相特性g()=((1+k)sin())/(1+kcos())的三阶锁相环路方程奇点的拓扑结构.