ON SHAPE PRESERVING EXTENSION AND APPROXIMATION OF FUNCTIONS

We establish the concept of shapes of functions by using partial differential inequalites. Our definition about shapes includes some usual shapes such as convex,subharmonic,etc.,and gives many new shapes of functions.The main results show that the shape preserving approxi- mation has close relation to the shape preserving extension.One of our main results shows that if f∈C(Ω)has some shape defined by our definition,then f can be uniformly approximated by polynomials P_n ∈p_n(n∈N)which have the same shape in Ω,and the degree of the ap- proximation is Cω(f,n^(-β))with constants C,β>0.

重大工程“政府-市场”二元治理效率分析与作用边界动态调整研究

为确定政府与市场二元作用的有效性,明确政府与市场作用边界,建立交易成本和制度可能性边界模型对重大工程“政府-市场”二元治理效率进行分析,并采用熵权可拓物元模型对治理效率进行实证研究,结果表明市场介入度在6~8的政府引导+市场主导模式的治理效率最高。不同情境下的“政府-市场”二元治理效率有所差异,应根据不同权责配置方式选取相应的二元治理模式,明确政府与市场的作用边界,并基于全寿命周期视角对重大工程内部治理模式进行动态调整。最后提出厘清角色定位、加强制度约束以构建重大工程项目的政府与市场协同治理路径。

室内环境评价物元模型及可拓评价方法

为了客观、准确地对室内环境进行评价,通过对影响室内环境(热环境、光环境、声环境和空气品质)各因素的分析,建立了评价指标体系.在此基础上,引入可拓学理论,建立了室内环境的评价物元模型,给出了基于关联函数的可拓评价方法.在实际应用中同其他方法所得结果进行了比较,验证了其所得结果的可靠性和正确性.该计算结果将为改善室内环境状况提供参考和依据.

建设工程项目招投标规范化可拓综合评判

为了客观、准确地对招投标的规范化进行评判,依据《中华人民共和国招标投标法》选取公开、公平、公正和诚实信用四大指标为招投标规范化的评判特征因子。在此基础上,引入可拓学理论,建立了招投标规范化评判物元模型,给出了基于关联函数的可拓评判方法。并结合某招投标活动,实际评判了其规范化综合水平。

室内空气品质的可拓评价方法简析

通过对影响室内环境的各种因素的分析,确立了以温度、风速、相对湿度等9项主要环境参数指标的评价指标体系.从人的生理和心理对室内环境的适应程度出发,按照舒适、较舒适、不舒适的室内环境界定各指标的范围,应用可拓学的思想方法建立了评价物元模型,给出了基于关联函数的可拓评价方法,并针对实际的室内空气环境,进行了实际应用与分析.这将为更客观、准确和科学的反映室内空气质量以及对室内环境定性和定量分析和评价提供参考.

城市园林绿化质量可拓综合评判方法研究

为客观、准确地对城市园林绿化质量进行评判,依据国际花园城市标准、国家生态园林城市标准、国家园林城市标准、城市绿化规划建设指标规定和部分省级园林城市标准,筛选了建城区绿化覆盖率、建城区绿地率、建城区人均公共绿地面积三大指标为园林绿化质量的评判特征因子。在此基础上,引入可拓学理论,建立了城市园林绿化质量评判物元模型,给出了基于关联函数的可拓评判方法。并结合某城市园林绿化现状,实际评判了其质量综合水平状况。

英汉疑问代词衍生功能研究

以疑问义为核心范畴的疑问代词是句子的天然焦点,它在英汉两种语言系统中都占据显赫位置。由于其地位显赫,所以常常扩张用途。为了满足人类交际需要,疑问代词从基本疑问义扩张到了遍指、不定指、感叹、否定等非疑问范畴。这一现象跨语言存在并非偶然,是与人类共同的认知规律密不可分的。此外,英汉疑问代词还分别扩张出引导从句功能和回指用法,之所以出现此种类型差异,与疑问代词作为疑问焦点时所处的句法位置息息相关。

试论汽车的功能结构艺术

从营销艺术的角度看,提出概念功能、附加功能、延展功能、特异功能的概念,显然更具有理论和实践意义,不但可以清晰认识汽车功能结构的实质,而且可以准确把握汽车功能结构的规律。有效降低了产品开发的“难度感”,为汽车厂家的产品开发,尤其是汽车功能结构艺术指明了道路。

C^n空间中具有逐块光滑边界的有界域上K-L-N公式的拓广式

应用单位分解的观念及核函数的构造理论,首先在Cn空间中具有逐块光滑边界的有界域上引进一种抽象的单位分解并构造一个核函数,然后在拓广的Koppelman公式的基础上,应用Stokes公式,得到Cn空间中具有逐块光滑边界的有界域上连续有界(0,q)型微分形式的一种抽象的积分表示式和-方程的连续解.由这个抽象的积分表示式,当适当选择其中的向量函数和参数时,可得到现有的其它许多积分公式和它们的拓广式.

弱弹性流体纤维纺丝的数值模拟

运用刚杆分子模型模拟弱弹性流体的纺丝过程.计算结果表明:适于单轴拉伸流动时的取向函数可以加以扩充用于纺丝过程;刚杆分子模型能够预测弱弹性流体在纤维纺丝过程中流场变化的情况.原因是弱弹性流体所具有的微弱弹性使得这种流体的拉伸特性主要由分子的取向来决定.

Shape Modification of Parametric Curves

A technique of shape modification and deformation for parametric curvesthrough cosine extension function (CEF) is presented. First, a special extension function isdefined, based on which a shape operator matrix is constructed. Then combining such matrix with thecenter of extension and principal directions, two kinds of deformation matrices are defined.Finally, curve deformation is achieved through multiplying its position vector in a local coordinatesystem by deformation matrix or adding the multiplication of a vector field and quasi-deformationmatrix to its position vector in the original coordinate system. Since CEF contains several variableparameters, each of which generates a different effect of shape modification such as controllingthe degree of continuity of the modified part of curve with the unchanged part, ideal deformationeffects can be got fairly and easily. Examples of theoretical analysis show that the method ispotentially useful for geometric modeling, computer graphics and so on.

PERIODIC DEFORMATION OF PARAMETRIC SURFACE

Deformation is a powerful tool for geometric modeling and design. Such a toolcan be used to create a new shape from existing shape without restarting whole design process. Anew mathematical model for producing controllable periodic deformations is proposed. By introducingcosine extension functions construct a shape operator matrix and then use the matrix to transformthe position vector of some points on the object surface so as to create the deformation effects.Because the cosine extension functions have a number of variable parameters with differentproperties, the method has corresponding interactive control means. The user can manipulate thoseparameters to get desirable periodic deformation effects. Experimental results show that the methodis feasible and applicable to engineering and research fields such as sheet metal forming bystamping and CAD.

CONSTITUTIVE EQUATION OF CO-ROTATIONAL DERIVATIVE TYPE FOR ANISOTROPIC-VISCOELASTIC FLUID

A constitutive equation theory of Oldroyd fluid B type,i.e.the co-rotational derivative type,is developed for the anisotropic-viscoelastic fluid of liquid crystalline(LC)polymer.Analyzing the influence of the orientational motion on the material behavior and neglecting the influence,the constitutive equation is applied to a simple case for the hydrodynamic motion when the orientational contribution is neglected in it and the anisotropic relaxation,retardation times and anisotropic viscosi- ties are introduced to describe the macroscopic behavior of the anisotropic LC polymer fluid.Using the equation for the shear flow of LC polymer fluid,the analytical expressions of the apparent viscosity and the normal stress differences are given which are in a good agreement with the experimental results of Baek et al.For the fiber spinning flow of the fluid,the analytical expression of the extensional viscosity is given.

DYNAMIC OPTIMIZATION FOR UNCERTAIN STRUCTURES USING INTERVAL METHOD

An interval optimization method for the dynamic response of structures with inter- val parameters is presented.The matrices of structures with interval parameters are given.Com- bining the interval extension with the perturbation,the method for interval dynamic response analysis is derived.The interval optimization problem is transformed into a corresponding de- terministic one.Because the mean values and the uncertainties of the interval parameters can be elected design variables,more information of the optimization results can be obtained by the present method than that obtained by the deterministic one.The present method is implemented for a truss structure.The numerical results show that the method is effective.

关于CL w中不动点组合算子的结构与范式

从组合逻辑添加受限制的外延性规则,对纯λ-演算,即形式理论λβ中关于不动点组合算子的Bo¨hm-VanderMey定理做出了改进,同时讨论了组合逻辑CLw中不动点组合算子的范式.

究竟如何理解“‘p’说p”?——试论前期维特根斯坦关于命题态度的分析

前期维特根斯坦持有强的外延原则,他试图将其适用于一切真正的命题。关于命题态度的分析,是维特根斯坦达成这一目的步骤之一。他认为心理学命题并不构成外延原则的反例,但是关于心理学命题如何不违反外延原则,解释者们给出了各种不同的,甚至截然相反的解释。这些解释固有其优势,但却过度拘泥于"‘p’说p"是什么的问题,且基本撇开了罗素的判断理论来解释。这不仅无益于维特根斯坦分析主旨的理解,而且难逃过度解释之嫌。而若是着眼于维特根斯坦的论证主旨及其与罗素判断理论的密切关系,聚焦于"‘p’说p"的作用问题,则可以在悬置诸多争论的同时,对维特根斯坦的观点作出合理解释。

Shape Modification and Deformation of Parametric Surfaces

A new method for shape modification or deformation of all kinds of parametric surfaces is presented. Instead of using any control mesh and designing any auxiliary tools for modification or deformation, this method only needs to multiply the equation of the original surface by several shape operator matrixes so that deformation effects are achieved. Due to introducing interactive control parameters with different properties those parameters can be changed to get more ideal effects of deformation or shape modification. The core of the method is that so-called cosine extension function is proposed by which the shape operator matrix can be created. Experiment shows that the method is simple, intuitive and easy to control, and diversified local deformations or shape modifications can easily be made via small and random variations of interactive control parameters.

Global dynamical correlation energies in covariant density functional theory： Cranking approximation

Tje global dynamical correlation energies for 575 even even nuclei with proton numbers ranging from Z = 8 to Z = 108 calculated with the covariant density functional theory using the PC-PK1 parametrization are presented. The dynamical correlation energies include the rotational correction energies obtained with the cranking approximation and the quadrupole vibrational correction energies. The systematic behavior of the present correlation energies is in good agreement with that obtained from the projected generator coordinate method using the SLy4 Skyrme force although our values are systematically smaller. After including the dynamical correlation energies, the root- mean-square deviation predicted by the PC-PK1 for the 575 even-even nuclei masses is reduced from 2.58 MeV to 1.24 MeV.

The Symbolic Extension Theory in Topological Dynamics

In this survey we will present the symbolic extension theory in topological dynamics,which was built over the past twenty years.

建设工程项目招投标规范化可拓评判

为了客观、准确地对招投标的规范化进行评判,依据《中华人民共和国招标投标法》选取公开、公平、公正和诚实信用四大指标为招投标规范化的评判特征因子。在此基础上,引入可拓学理论,建立了招投标规范化评判物元模型,给出了基于关联函数的可拓评判方法。并结合某招投标活动,实际评判了其规范化综合水平。