CO—s闭拓扑

本文证明，当空间赋予ＣＯ－ｓ－闭石扑ｓ（τ）时，ｓ－连续函数概念与连续函数概念一致，研究了ｓ－ｘ闭空间；ｓ－闭空间的某些基本性质，且用其刻画几类ＣＯ－ｓ闭拓扑。     

关于点可数序列邻域网

Ｉｔｉｓｋｎｏｗｎｔｏａｌｌｔｈａｔｔｈｅｔｈｅｏｒｙｏｆｔｈｅｐｏｉｎｔ－ｃｏｕｎｔａｂｌｅｃｏｖｅｒｓｂｅｏｎｅｏｆｔｈｅｍｏｓｔｉｍｐｏｒ－ｔａｎｔｓｕｂｊｅｃｔｓｉｎＧｅｎｅｒａｌＴｏｐｏｌｏｇｙ．Ｔｈｅｐｏｉｎｔ－ｃｏｕｎｔａｂｌｅｃｏｖｅｒｓｗｉｔｈｖａｒｉｏｕｓｃｈａｒａｃｔｅｒｈａｖｅｂｅｅｎｄｉｓｃｕｓｓｅｄｂｙｍａｎｙｔｏｐｏｌｏｇｉｓｔｓ,ｓｕｃｈａｓＬｉｎａｎｄＴａｎａｋａ’ｓｐａｐｅｒ［１］ｏｎｐｏｉｎｔ－ｃｏｕｎｔａｂｌｅＫ－ｎｅｔｗｏｒｋ．Ｉｎｔｈｉｓｐａｐｅｒ,ｗ…     

About Moore—Smith Convergence on l^＊—Module

§１．　ＩｎｔｒｏｄｕｃｔｉｏｎＩｎ１９９５，Ｍｒ．ＸｕＹａｎｇ，ｉｎｈｉｓｄｏｃｔｏｒａｌｄｉｓｓｅｒｔａｔｉｏｎ［１］，ｆｉｒｓｔｉｎｔｒｏｄｕｃｅｄａｄｏｕｂｌｅｌａｔｔｉｃｅ－ｏｒ－ｄｅｒｅｄａｌｇｅｂｒａｉｃｓｔｒｕｃｔｕｒｅｃａｌｌｅｄｌ－ｍｏｄｕｌｅａｎｄｄｉｓｃｕｓｓｅｄｉｔｓａｌｇｅｂｒａｉｃａｎｄａｎａｌｙｔｉｃａｌｐｒｏｐｅｒｔｉｅｓ，ｂｙｗｈｉｃｈｈｅｄｅａｌｔｗｉｔｈｔｈｅｐｒｏｂｌｅｍｏｆｌａｔｔｉｃｅ－ｖａｌｕｅｄｇａｍｅａｎｄｓｅｔｕｐｔｈｅｅｌｅｍｅｎｔａｌｔ…     

RLW—Burgers方程的精确解

借助未知函数的变换，ＲＬＷ－Ｂｕｒｇｅｒｓ方程和ＫｄＶ－Ｂｕｒｇｅｒｓ方程化为易于求解的齐次形式的方程，从而得到ＲＬＷ－Ｂｕｒｇｅｒｓ方程和ＫｄＶ－Ｂｕｒｇｅｒｓ方程的精确解。     

On Torsion Theories of Regulars and V—Rings

ＬｅｔＲｂｅａｃｏｍｍｕｔａｔｉｖｅｒｉｎｇｗｉｔｈｉｄｅｎｔｉｔｙ，τｂｅａｈｅｒｅｄｉｔａｒｙｔｏｒｓｉｏｎｔｈｅｏｒｙｏｎＲ－ｍｏｄ．Ｔｈｅｃｏｎｃｅｐｔｉｏｎｓｗｈｉｃｈｗｅｈａｖｅｕｓｅｄｉｎｔｈｅｐａｐｅｒｃａｎｂｅｓｅｅｎｉｎ［１］．Ｄｅｆｉｎｉｔｉｏｎ１　ＴｈｅｒｉｎｇＲｉｓτυ－ｒｉｎｇｉｆｅｖｅｒｙｓｉｍｐｌｅｍｏｄｕｌｅｉｓτ－ｉｒｊｅｃｔｉｖｅ，ｔｈｅｒｉｎｇＲｉｓτ－ｒｅｇｕｌａｒｒｉｎｇｉｆｅｖｅｒｙＲ－ｍｏｄｕｌｅｉｓτ－ｆｌａｔ．Ｚｈａｎｇ［２］ｓｔｕｄｉｅｄτυ…     

η—Einstein—Sasaki子流形和它们的谱

本文证明了Ｓａｓａｋｉ空间形式中具有η－平形第二基本形式的η－Ｅｉｎｓｔｅｉｎ－Ｓａｓａｋｉ子流形在某些假定下由它的谱所决定；并给出了复Ｑｕａｄｒｉｃ上的圆周丛的谱特征。     

Characterizations of Stable Functions on L—domains

§１．　ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｐｕｒｐｏｓｅｏｆＤｏｍａｉｎｓｔｈｅｏｒｙ（ｉｎｔｒｏｄｕｃｅｄｂｙＤ．Ｓｃｏｔｔ）ｉｓｔｏｍｏｄｅｌｔｈｅｄｅｎｏｔａｔｉｏｎａｌｓｅ－ｍａｎｔｉｃｓｏｆｃｏｍｐｕｔｅｒｐｒｏｇｒａｍｍｏｎｇｌａｎｇｕａｇｅｓ［１］．Ａｎｉｍｐｏｒｔａｎｔｆｒａｍｅ－ｗｏｒｋｆｏｒｔｈｅｄｅｎｏｔａ－ｔｉｏｎａｌｓｅｍａｎｔｉｃｓｏｆｐｒｏｇｒａｍｍｉｎｇｌａｎｇｕａｇｅｓｉｓｔｈｅｃａｔｅｇｏｒｙｏｆＬ－ｄｏｍａｉｎｓｗｉｔｈｓｔａｂｌｅｆｕｎｃｔｉｏｎｓ．Ｌ－ｄｏｍ…     

BCC—Algebras and BCK—Algebras

ＢＣＣ－ＡｌｇｅｂｒａｓａｎｄＢＣＫ－ＡｌｇｅｂｒａｓＺｈａｎｇＸｉａｏｈｏｎｇ（张小红）；ＷｅｉＺｏｎｇｌｉ（卫宗礼）（ＨａｎｚｈｏｎｇＴｅａｃｈｅｒ＇ｓＣｏｌｌｅｇｅ，７２３０００）（ＬｕｏｙａｎｇＴｅａｃｈｅｒ＇ｓＣｏｌｌｅｇｅ，４７１０２２）...     

q-超球多项式与若干Rogers-Ramanujan型恒等式

利用ｑ－超球多项式的两个简单性质,建立了关于ｑ－级数的两个变换公式,借助这些变换公式并结合著名的Ｒｏｇｅｒｓ－Ｒａｍａｎｕｊａｎ恒等式,给出了若干Ｒｏｇｅｒｓ－Ｒａｍａｎｕｊａｎ型恒等式的简洁证明。     

关于Piazza等人的一个猜想的证明

Ｐｉａｚｚａ;Ｒｏｂｅｒｔｓ和Ｓｔｕｅｃｋｌｅ在１９９５年猜想:任何一个完全ｎ－部图是严格边－韧性图(ｓｔｒｉｃｔｌｙ ｅｄｇｅ－ｔｅｎａｃｉｏｕｓ ｇｒａｐｈ) 本文证明了这个猜想．     

On a class of self-similar processes with stationary increments in higher order Wiener chaoses

We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.     

Qualitative Analysis of Bifurcating Solutions in the Lengyel-Epstein Model

One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the＇living world. In his seminal paper ＂The Chemical Basis of Morphogenesis＂, Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. However, the first experimental evidence to the Turing patterns was observed by De Kepper and her associates（1990） on the CIMA reaction in an open unstirred reactor, almost 40 years after Turing＇s prediction. Lengyel and Epstein characterized this famous experiment using a system of reaction-diffusion equations. The Lengyel-Epstein model is in the form as follows     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

On a class of Riemann surfaces

It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.     

(0,1 ;0)-INTERPOLATION ON INFINITE INTERVAL (-∞, +∞)

In this paper, we study the explicit representation and convergence of (0, 1; 0)-interpolation on infinite interval, which means to determine a polynomial of degree ≤ 3n - 2 when the function values are prescribed at two set of points namely the zeros of Hn(x) and H′n(x) and the first derivatives at the zeros of H′n(x).     

CONTENTS OF VOLUME 30

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Instructions for contributions

正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with     

Journal of Mathematical Research with Applications Guide for Authors

正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.     

Staircase transportation problems with superadditive rewards and cumulative capacities

A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].