工程项目施工状态诊断模型

文章提出了工程项目施工的投资状态函数、进度状态函数、质量状态函数和环境状态函数，并以状态函数为基础，建立了项目施工状态诊断模型。文章给出各层次中的状态函数，理出了施工状态量化诊断的思路，对各层次中状态诊断函数的描述作了探索。     

分段函数的分类及分离型分段函数与初等函数之间的关系

将分段函数划分为连结型分段函数，分离型分段函数和它们的组合形式三种类型，得到了分离型分段函数是初池数的充分必要条件，完整地解决了分离型分段函数与初等函数之间的关系，并且给出了初等函数在其行一截取集上的限制函数（截取函数）仍然是初等函数的结果。     

二连通域上Besov函数的等价刻划

定义了二连通城上Besov函数，探讨了Besov函数的等价刻划，即给了函数为Besov函数的若干充要条件．     

函数

函数是描述客观世界变化规律的重要数学模型，函数思想方法贯穿高中数学课程的始终，它不仅是高中数学的核心内容，还是学习高等数学的基础，初中已经用运动变化的观念定义过函数，高中阶段则是在学习了集合、对应、映射等概念的基础上再学习函数的概念，不仅把函数看成变量之间的依赖关系，还用集合与对应的语言来刻画函数．函数的概念、函数的性质、反函数、基本初等函数、函数的图象和函数的应用构成了本章的主要内容．配方法、待定系数法、数形结合法、分类讨论法等方法，构成了函数这一章应用的广泛性、解法的多样性和思维的创造性．     

二维分形插值函数及其小波类型级数表示

本文对一类很广泛的二维分形插值函数进行了研究，给出了分形插值函数连续的充分必要条件和一种构造迭代函数系统使其吸引子是连续函数的方法，并将分形插值函数表示为一个二维小波类型级数，其“母函数”是由迭代函数系统中的位移函数所决定，这种表示方式不仅提供了一种生成分形插值函数有效方法，而且对研究分形插值函数的性质及所描述的物理对象的特性也是十分有意义。     

函数f（x）=ax＋b／x（a,b∈R^＋）的教学设计

函数f(x)=ax b/x(a，b∈R^ )是高中数学上中重要的函数之一，在相关知识中有平均不等式的应用，函数f(x)最值的讨论，函数单调性的讨论，函数奇偶性的讨论，画出函数图象，其间渗透了极限的思想和函数在指定区间的最值等等，其变化多，应用广，是高中数学命题中倍受老师们欢迎的数学典型试题，因此我们专门在高二年级学习均值不等式之后，设计了一节课，取得了一定的效果。     

非线性整规划中的精确光滑罚函数

本文提出了几个非线性整规划 的全局精确光滑罚函数，每个罚函数有两个参数，并且给出了每个罚函数的精确罚参数的估计值，最后，我们举例说明了所提出的罚方法在具有整系数多项式目标函数以约束函数的整数规划中的应用。     

解抽象函数问题举例

没有给出函数的具体表达式，只给出了函数满足的若干条性质，由这些性质来求解函数问题就是抽象函数问题．因为没有函数的具体表达式，所以函数的很多性质不明显，只能运用所给出的函数性质求解（常用的有赋值法等），但技巧较大，本文举例说明这种题型的解法．     

Kleene逻辑函数—一类广义模糊逻辑函数

引进了一类广义模糊逻辑函数－Ｋｌｅｅｎｅ逻辑函数，讨论了这类函数的基本性质，并在这个函数类与正则三值逻辑函数之间建立起同构关系。     

具有特定非零Walsh谱值个数的布尔函数的研究及构造

布尔函数与其变元的相关性与流密码的相关攻击有紧密联系，Walsh变换则是研究布尔函数相关特性的主要工具，本文研究了非零Walsh谱值个数k=9，10的布尔函数，证明了k=9的函数的不存在性，并构造了所有k=10的函数。     

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 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.     

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.     

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].