Menger空间的收敛性和隔离性

Suppose that (X,F,△) is a Menger spece and that t-norm △ satisfies (?)△(x, a) = a for all a∈[0,l]. The main result of the paper is as follows:     

高吸收ZnSe多晶无镜光学双稳的实验观测

本文对具高吸收的ZnSe多晶材料的增加吸收型光学双稳性进行了实验观测,发现在介质的吸收远高于过去提出的理论判据时,仍能获得双稳输出,并测定了阈值开关功率与光斑尺寸及样品厚度的关系.采用分层模型分析实验结果,定性地解释了实验现象.     

肺毛细血管与组织间物质交换的双重介质模型

本文在文献[4]的基础上利用双重孔隙介质模型研究了肺毛细血管与组织间的物质交换。利用小参数展开的分析方法和数值计算方法求解了非线性的控制方程。通过比较说明在一般的生理条件下小参数展开法所得的解已能充分描述肺毛细血管和组织间的物质交换状况。最后文中还利用所得解分析了肺水肿形成的机理。     

LOCAL WELL-POSEDNESS AND ILL-POSEDNESS ON THE EQUATION OF TYPE □u = u^k（δu）^α

This paper undertakes a systematic treatment of the low regularity local wellposedness and ill-posedness theory in H^s and H^s for semilinear wave equations with polynomial nonlinearity in u and δu. This ill-posed result concerns the focusing type equations with nonlinearity on u and δtu.     

从x出发的漂移Brownian Motion的极值分布

该文研究了从x出发的正漂移Brownian Motion的极值问题，给出了关于这种随机过程的两种极大值的定义，并主要利用Brownian Motion的一些重要性质，比如正交不变性、时空齐次性及在有限停时上的强Markov性等，获得了两种极大值的分布函数的精确表达式。     

On a Solution of the Quaternion Matrix Equation X - A X B = C and Its Application

This paper first studies the solution of a complex matrix equation X - AXB = C, obtains an explicit solution of the equation by means of characteristic polynomial, and then studies the quaternion matrix equation X - A X B = C, characterizes the existence of a solution to the matrix equation, and derives closed-form solutions of the matrix equation in explicit forms by means of real representations of quaternion matrices. This paper also gives an application to the complex matrix equation X - AXB =C.     

Some Key Concepts in Nonstandard Analysis Theory of Turbulence

Some important concepts in the nonstandard analysis theory of turbulence are presented. The point structure, on which differential equations are defined, is analysed. The distinction between the uniform point and the non-uniform point, as well as between the standard point and the nonstandard point, is shown. A new kind of equations, which differ essentially from those in existent theory, is emphasized. These new equations can hold at non-uniform points. The applicability of the Navier-Stokes equations to turbulence is discussed. Some illustrations of the nonstandard analysis theory of turbulence are also presented.     

赋序列范数的矢值序列空间ss(E)的强暴露性和暴露性

刻划了赋序列范数的矢值B anach序列空间ss(E)的强暴露性和暴露性,给出了它们的判据.     

Fréchet空间的d一致可微性

本文在可度量化局部凸空间(特别地,F réchet空间)中引入d一致可微性并证明了连续凸函数的d一致可微点集是Borel集.最后,在RN空间中,我们证明连续凸函数的F réchet可微点集与d一致可微点集一致.     

已知工件最大加工时间的平行机排序问题

研究了已知工件最大加工时间，目标为极小化最大机器负载的半在线平行机排序问题．证明了对于一般的m（〉6）台机器，任意的半在线算法的竞争比至少是（√33＋3）／6．同时还设计了一个半在线算法，算法的竞争比为2-1／（m-1）．