L─Fuzzy拓扑空间中几种正则及关系

本文我们将介绍三种不同于文献［１］中的正则．分别记作［正则］１、［正则］２、［正则］３。并讨论它们之间以及与［１］中正则的关系，我们将证明［正则］２不仅拓宽了原正则［１］。而且还具有相应好的性质。同时还将证明［正则］３在可拓扑生成条件下与［１］中正则是等价的。     

关于Fuzzy Drazin子半群

本文引进了ＦｕｚｚｙＤｒａｚｉｎ子半群的概念,并讨论了它们的一些代数性质,改进并推广了［５］、［６］、［８］、［１０］及［１１］中的许多重要结果     

一类高阶线性微分方程解的增长性

该文研究了一类高阶线性微分方程解的增长性，推广并完善了文献［３］［４］［５］［７ ］的结果.     

再谈欧氏空间的变换和线性变换

文［３］推广了文［１］～［２］中的全部定理,文［４］又推广了文［３］的全部定理,本文推广了文［４］的全部定理,指出了文［４］中的一个错误论断,并给出了线性变换的一个等价条件．为简便,文中的Ｖ表示欧氏空间,ＶＶ表示Ｖ的所有变换的集合,Ｌ（Ｖ）表示Ｖ的所...     

关于对Fuzzy弱自反关系证明的注记

陈贻源［１］和张文修［２］分别引入了Ｆｕｚｚｙ弱自反关系的定义和有关的证明。本文在［１］和［２］给出Ｆｕｚｚｙ弱自反关系定义的基础上，对［１］和［２］的有关Ｆｕｚｚｙ弱自反关系证明提出了异议，并给出了新的证明。     

中止规则的平均延迟时间及其应用

本文以平均延迟时间为度量，对适用于连续抽样方案的四种中止规则，即规则［Ｓ］，［Ｒ］，［Ｎ，ｃ］及［Ｒ，ｄ］的中止“速度”进行了比较。结果表明：［Ｒ］优于［Ｓ］，而［Ｎ，ｃ］与［Ｒ，ｄ］均优于［Ｒ］。这些结论及方法可被用来适当地选择中止规则，以提高连续型生产的质量控制水平     

也谈费马─斯坦勒尔问题

也谈费马─斯坦勒尔问题刘凯年（重庆师范学院数学系６３００４７）文献［１］（见本刊１９９４年第３期）、［２］、［３］用不同方法解决了费马一斯坦勒尔问题．但［３］为实验解，未给出严格的数学证明，［１］、［２］的方法又比较繁难，且［１］的方法很难为中学生所...     

图的字典序积和自同态幺半群

Ｆ．Ｈａｒａｒｙ￣［１］和Ｇ．Ｓａｂｉｄｕｓｓｉ￣［２］考虑过图Ｘ和ｙ的字典序积Ｘ［Ｙ］的自同构群ＡｕｔＸ［Ｙ］与它们各自的自同构群的圈积ＡｕｔＸ［ＡｕｔＹ］的关系，并给出了两者相等的一种刻划．在本文，我们考虑更广意义上的问题，即Ｘ［Ｙ］的自同态幺半群ＥｎｄＸ［Ｙ］与各自的自同态幺半群的圈积ＥｎｄＸ［ＥｎｄＹ］的关系，也给出了两者相等的一种刻划，同时得到了下面结果：如果Ｘ和Ｙ都是不含Ｋ＿３导出子图的连通图，且其中之一图有奇数围长，那么ＥｎｄＸ［Ｙ］＝ＥｎｄＸ［ＥｎｄＹ］．     

高维变系数线性偏微分方程组Cauchy问题抛物性的新判据

本文基于文献［ｌ］和［２］，讨论了高维变系数线性偏微分方程组Ｃａｕｃｈｙ问题的抛物性，得到了与文献［ｌ］和［２］的方法和结果均不同的充分条件     

有理样条不可约解的行列式表示

１引言在文［１］中,对于剖分ａ＝ｘ０＜ｘ１＜…＜ｍｎ＝ｂ及给定的ｙ０,ｙ１,…,　…,Ｌ＋Ｍ－１,我们构造了有理样条Ｓ［Ｌ,Ｍ（ｘ）Ｑ［Ｌ,Ｍ］为次数不超过ｍ的多项式全体．在［１］中,已经讨论了Ｓ［Ｌ,Ｍ］（ｘ）的存在性,并指出：若问题（１）（２）（３）可解,则解唯一这里总假设问题（１）（２）（３）可解．２有理样条解不可约的充要条件由Ｓ［Ｌ,Ｍ］（ｘ）的依区间递推算法（见［１］）,我们只需讨论［ｘ０,ｘ１］上的情形．当［Ｘ０,ｘ１］时,将Ｓ［Ｌ,Ｍ］　（ｘ）,Ｐ［Ｌ,Ｍ］　（ｘ）和Ｑ［Ｌ,Ｍ］（…     

Prediction of the paper path in a laser printer by finite element analysis

A conventional problem of paper handling in a page-printing printer is to design a reliable paper path. Sometimes, this also affects the printing quality. The nonlinear theory of elastica has often been used to model paper deflection shape and to predict the paper path between some guiding rollers. The present paper proposes another method that can solve this problem more efficiently. Considering a piece of paper as a nonlinear beam, finite element analysis with geometric nonlinearity and manipulating the contact gap element between paper and guiding surfaces can be used to simulate the large-deflection behavior of paper. In this paper, the paper path in the vicinity of an OPC (organic photoconductive) drum is investigated with a general purpose finite element package. The effect of the electrostatic force between the OPC drum and the paper is considered, and the deformed shape of the paper for different forces lengths is obtained. According to those results an appropriate paper guide is added for an exact paper path.     

严格对角占优三对角矩阵逆元素的估计

本文给出了严格对角占优三对角矩阵逆元素的估计式,获得了比文[1]定理更好的结果。即:去掉了文[1]中非负这一限制条件,且使文[1]的定理成为本文定理之特例。     

Capillary hydrodynamics of the deposition of thin films and droplets on heterogeneous,porous substrates

The work presented here deals with recent research on capillary hydrodynamics of thin viscous liquid films and droplets. The process engineering background comes from the industrial process to deposit thin films or droplets on substrates such as polymer foils or paper [1, 2, 3]. During the production of paper, for example, layers of coating color have to be applied onto the raw paper in order to ensure its usability. Ink–jet paper consists of several different functional layers to optimize the paper with regard to printing quality or paper handling. For the printing process by the ink–jet technique, a controlled application of droplets onto the paper and subsequent penetration of the fluid into the paper are crucial for the final quality of the print. The work summarized here considers the application of films or droplets on substrates as well as the flow of liquids inside porous media. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Josef Meixner: His life and his orthogonal polynomials

This paper starts with a biographical sketch of the life of Josef Meixner. Then his motivations to work on orthogonal polynomials and special functions are reviewed. Meixner’s 1934 paper introducing the Meixner and Meixner–Pollaczek polynomials is discussed in detail. Truksa’s forgotten 1931 paper, which already contains the Meixner polynomials, is mentioned. The paper ends with a survey of the reception of Meixner’s 1934 paper.     

Evolution Problems involving non-stationary Operators between two Banach Spaces II. Ancillary results

This paper is a direct continuation of the first paper in this series[Quaestiones Math. 8 (1985), no. 2,], which deals Kith the evolution problem [B(t)u(t)]' = A(t)u(t), Bu(0) = y. whereas in the first paper existence and uniqueness results were presented, this paper contains the ancillary results formulated in the first paper. These results describe the properties of B(t)-evolutions with non-stationary generating pairs, as well as of the solution operator of [B(t)u(t)]' = Au, Bu(0) = y.

The notation of the first paper is assumed throughout and is used without further note. Citation of results from the first paper is made by equation number. The numbering of this paper follows that of the first paper in sequence.     

试卷质量的灰色综合评判

李文革．试卷质量的灰色综合评判．数理统计与管理，１９９７，１６（４），４２～４５．本文运用灰色综合评判评价了文［１］中的七套试卷，得到了与文［１］不同的结果，但本文的结果更符合客观实际。     

考虑成本因素的税企博弈模型

本在献[1]的基础上,进一步考虑成本因素在更为一般的条件下建立了新的税企博弈模型,得到国家税务机关最优混合策略及其骗税罚款系数公式,并且指出献[1]的结论是本的一个推论。     

广义Kannan型压缩条件的注记

本文给出了 [4 ]中的广义Kannan型压缩条件下映象的一个不动点定理 ,说明了 [2 5]中广义Kannan型压缩条件下映象与 [1 ]中Kannan型压缩条件下映象具有一致的不动点存在性 .     

凸函数和凹函数的幂平均不等式

文 [1 ]获得了当 α≥ 1时的凸函数的幂平均不等式 (3)、(4 ) [1] .本文指出文 [1 ]中的一个错误 ,并且得到了 α≤ 1时的凹函数的幂平均不等式 .修正和充实了文 [1 ]的定理 .同时讨论了当 α取其它值时不等式的情况 .     

近似良紧空间的相对可乘性

文[2]江守礼、李进金定义了相对乘积空间，使不同的LF空间可以进行乘积运算．本文利用广义Zadeh型函数讨论近似良紧空间的相对可乘性，使得文[5]和[6]的一些结论是本文的推论．