Diffusivity of solvent in a polymer solution—expansive free volume effect

The concentration dependency of the diffusivity of a solvent in a polymer solution is derived on the basis of a free volume theory. Applying a molecular kinetics approach, the Fujita-Doolittle equation is modified. The result of numerical simulation reveals that the diffusivity of solvent in a polymer solution depends largely on both the polymer chain structure and its concentration. The applicability of the analytical expression derived is justified by fitting the experimental data for n-alkyl acetate-(poly-methyl acrylate) polymer solutions in the literature.     

On Topological Classification of Non-Archimedean Fréchet Spaces

We prove that any infinite-dimensional non-archimedean Fréchet space E is homeomorphic to where D is a discrete space with card(D) = dens(E). It follows that infinite-dimensional non-archimedean Fréchet spaces E and F are homeomorphic if and only if dens(E) = dens(F). In particular, any infinite-dimensional non-archimedean Fréchet space of countable type over a field is homeomorphic to the non-archimedean Fréchet space .     

Wavelet frames with irregular matrix dilations and their stability

Let , B and A_j () be real nonsingular n×n matrices, λ_k () be real numbers. In this paper we present a sufficient condition for the system to be a frame for . This sufficient condition also shows the stability of the system with respect to the perturbation of matrix dilation parameters and the perturbation of translation parameters .     

常德-张家界高速公路慈利东互通段膨胀土工程特性及改性研究

在对常德—张家界高速公路慈利东互通段工程地质综合测试、补充勘探的基础上 ,通过对膨胀土及其改良土进行了系统的试验研究 ,如自由膨胀率、有荷膨胀量、收缩、胀缩总率、颗粒分析、压缩、抗剪强度、承载比试验 ,评价了该段膨胀土的工程特性 ,对于指导膨胀土路基的设计与施工 ,具有重要的意义     

Measure-expansive diffeomorphisms

In this paper, measure-expansive diffeomorphisms are considered and the characterizations of the C¹$C^1$-interiors of the set of measure-expansive diffeomorphisms are obtained.     

Linear programming with spheres and hemispheres of objective vectors

Given a linear program with a boundedp-dimensional feasible region let the objective vector range over ans-sphere, that is, ans-dimensional sphere centered at the origin wheres does not exceedp–1. If the feasible region and the sphere are in general position with respect to each other, then the corresponding set of all optimal solutions is a topologicals-sphere. Similar results are developed for unbounded feasible regions and hemispheres of objective vectors.This research is based on work supported in part by the National Science Foundation under Grant DMS-86-03232.     

我国东北边境珲春境内膨胀土

我国东北边境挥春境内膨胀土，主要分布在珲春、凉水、庆荣三个盆地边缘，河流二、三级阶地上。膨胀土下部为第三系砾岩、砂岩和页岩等、在珲春境内发现膨胀土，不但扩大了我国膨胀土的分布区域，而且将对于今后膨胀土的理论研究和边境地区的基本建设具有重要意义。     

拓扑群在连续统上的膨胀作用

本文把一个同胚的膨胀作用推广到拓扑群的情形,并研究了有限生成离散群 的膨胀作用,得到了如下结果:Z×Z不能膨胀地作用在单位闭区间I上,而自由积 Z★Z可以膨胀地作用在I上.