(±)-regular factorization and the best minorant

Kiev State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 25, No. 1, pp. 72–74, January–March, 1991.     

Lorentz lattice gases,abnormal diffusion,and polymer statistics

Diffusive behavior in various Lorentz lattice gases, especially wind-tree-like models, is discussed. Comparisons between lattice and continuum models as well as deterministic and probabilistic models are made. In one deterministic model, where the scatterers behave like double-sided mirrors, a new kind of abnormal diffusion is found, viz., the mean square displacement is proportional to the time, but the probability density distribution function is non-Gaussian. The connections of this mirror model with the percolation problem and the statistics of polymer chains on a lattice are also discussed.     

B值渐近鞅的强弱大数定律

本文用Ｂ值渐近鞅的Ｄｏｏｂ分解，研究了取值于具有ＲＮＰ且对偶可分的Ｂａｎａｃｈ空间Ｂ值渐近鞅的强弱大数定律．给出了一系列结果及其证明     

稀土元素镧,铽,镱在雏鸡中的分布及其生物效应

将不同剂量的Ｌａ、Ｔｂ和Ｙｂ的ＥＤＴＡ络合物注入种蛋，研究了育成雏鸡的畸变和稀土在脏器组织中的分布，提出胚胎对稀土敏感。     

杭州地区日本刺沙蚕的初步研究

日本刺沙蚕在杭州市及其郊县的淡水和半咸水水域中都曾发现.本文对其形态、分布和生态习性,特别是在淡水中群游的现象作了 观 察和 描述,并报告了采自淡水的日本刺沙蚕的水分、蛋白质、氨基酸、脂肪和矿质元素的含量,以及用它作幼鲤饲料的初步试验结果,提出了对该资源的利用意见     

Design and properties analysis of multi-layer dielectric used in pulse compressor gratings

Used in chirped-pulse amplification system and based on multi-layer thin film stack, pulse compressor gratings (PCG) are etched by ion-beam and holographic techniques. Diffraction efficiency and laser-induced damage threshold rely on the structural parameters of gratings. On the other hand, they depend greatly on the design of multi-layer. A theoretic design is given for dielectric multi-layer, which is exposed at 413.1 nm and used at 1053 nm. The influences of coating design on optical characters are described in detail. The analysis shows that a coating stack of H3L (H2L)9H0.5L2.01H meets the specifications of PCG well. And there is good agreement of transmission between experimental and the theoretic design.     

Convergence in L space for the homogenization problems of elliptic and parabolic equations in the plane

We study the convergence rate of an asymptotic expansion for the elliptic and parabolic operators with rapidly oscillating coefficients. First we propose homogenized expansions which are convolution forms of Green function and given force term of elliptic equation. Then, using local L^p-theory, the growth rate of the perturbation of Green function is found. From the representation of elliptic solution by Green function, we estimate the convergence rate in L^p space of the homogenized expansions to the exact solution. Finally, we consider L2(0,T:H1(Ω)) or L∞(Ω×(0,T)) convergence rate of the first order approximation for parabolic homogenization problems.     

金属元素的正电子鉴别技术

测量了20种金属元素的符合多普勒展宽谱,并与理论计算的结果比较．CDB谱的高动量部分反映了正电子与核心电子的湮灭,由于核心电子在原子组成材料时仍然保留了元素特性,CDB谱的高动量部分可以用来鉴别元素．     

Surface states and its influence on luminescence in ZnS nanocrystallite

In this pape,r the influence of surface effects on the self-activated (SA) luminescence in ZnS nanoparticles prepared by the wet-chemical method is presented. It is observed that the luminescence of SA decreases dramatically by rinsing with methanol. In the rinsed sample, the luminescence of SA increases more by ultraviolet (UV) light irradiation. To clarify its origin, the Raman spectra and electron paramagnetic resonance (EPR) are studied. The results demonstrate that the vibrational modes assigned to organic functional groups of -OH and -COO and -CH₃ decreases remarkably by rinsing, while the EPR signal originated from the unpaired electrons of some transition metal impurity ions including Mn²⁺ increases. It is suggested that the SA centers prefer to occupy the sites near the surface and that the donor of SA emission may be partly related to the organic functional groups of -OH and -COO adsorbed on the surface. The surface-dangling bonds caused by unpaired electrons of some transition metal impurity ions play a role of surface states, leading to the quenching of the SA emissions. The organic functional groups chemically combine with these surface-dangling bonds leading to the decrease in surface states and surface nonradiative relaxation channels and to the increase in the SA emissions.