关于工科数学素质教育的思考

世界科学技术的飞速发展和现代计算技术的广泛应用，对工科数学教学提出了新的要求。为了培养跨世纪的高级工程技术人才，必须转变教育思想，使工科大学生具备必要的数学素质和能力，以适应社会主义市场经济的紧迫需求，成为社会主义现代化建设事业的合格人才。     

生物医学的数学化及医科数学教育的改革

本论述了生物医学研究的数学化进程及其一些主要的应用成果，由此得到启示：即为培养21世纪高素质的医学人才，必须提高对医科数学教育重要性的认识，并加强医科高等数学课程教学的改革。     

教育信息化与创新教育——兼论校园网络支持的大学数学教育模式

教育信息化条件下，教育思想必须更新，必须进行创新教育。要坚持以学生的发展为本，以培养学生创新思维和发展学生能力为目标；充分利用现代教育技术，达到新的技术条件下的创新教育，校园网络支持的大学数学教育模式：主讲课＋习题课＋评估体系的改革。     

人力资源与区域经济发展分析

人力资源是实现区域经济发展的最重要条件之一，从已有的经济理论模型理论研究及本建立经济数学模型实证研究表明，人力资源数量，质量，结构，流动都影响区域经济发展，加快区域经济发展，必须加大教育投入，创造条件吸引人才，加强技术技能培训，增加第三产业作人力资源等。     

把珠算引入课堂有利于对学生进行德育教育

二十一世纪世界经济的竞争主要表现为科学技术和民族素质的竞争。生产水平的提高必须依靠高超的科学技术和训练有素的人才．为了适应新世纪经济发展的需要．我国教育加快了改革的步伐，从选拔型的应试教育逐渐转变到以全面提高民族素质的素质教育。     

学习珠心算有助于人脑潜能开发

在全国科学教育工作会议上,国务委员陈至立以《时代呼唤科学教育和科学精神》为题做了重要讲话,特别强调:"高层次创新人才的培养和造就,全民族科学文化素质的提高,必须从基础抓起,需要从小就进行科学精神、科学素质的养成,需要在广大青少年中开展高水平的科学教育,要把培养学生的创新     

加强珠算教育 开发智力源泉

智力是人对客观事物认识能力的总和，亦可说是智慧力量的总和。人们要改造世界，就先要认识世界，知识越高深，智力越发达，改造世界的本领就越高强。特别是当今世界，智力越显现出它是人类发明创造的主观能源和内在基础，因此，开发智力，培养人才已成为建设有中国特色社会主义的关键问题。要实现这一长远而宏伟的人才工程．就必须依赖珠算的启智功能，从小学一年级学生开始，认真加强珠算教育，为跨世纪培养出新型的实用人才。     

高等数学教学中的授课再创造——兼谈数学教育中独创型思维人才的培养

阐述了高等数学教学中进行授课再创造的原则和作用，以及数学教育中如何培养独创型思维人才。     

生物医学的数学化及医科数学教育的改革

本文论述了生物医学研究的数学化进程及其一些主要的应用成果 ,由此得到启示 :即为培养2 1世纪高素质的医学人才 ,必须提高对医科数学教育重要性的认识 ,并加强医科高等数学课程教学的改革 .     

以加强“素质教育”为重点改革数学课教学

随着社会物质和文化生活水平的不断提高，市场经济的不断发展，以及新知识的加速积累，我国的大学教育正在从“专业教育”向“素质教育”转变，即以培养获取新知识和技术的能力为主要目标，我院是培养航空机务人才的高等军事院校，培养目标的针对性强，第一任职能力要求高，     

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].