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The duality property of several kinds of generalized functions;

几种类型广义函数的对偶性

This article using AHP to determine the weighting of index,using generalized function to nondimensionalize the value of index,then calcalute the systematic evaluation index.

采用层次分析法确定准则层和各单项指标的权重,通过广义函数法对各评价指标进行无量纲化来确定单个指标的评价值,最后根据各指标的评价值及其权重确定城市交通适应性评价值。

First, by comparing with the definition of ordinary function, the definition of the general function and the equality of two generalized functions are introduced.

　冲激(偶)函数类性质历来是《信号与系统》教学中的难点,也是学生不易理解的内容,为此,教学策略采用"三步走"的方法:首先与普通函数定义方法相比较引出广义函数定义和"两广义函数相等"的概念,继而用高等数学的微积分知识证明冲激(偶)函数类的"抽样"性质,最后以前两者为基础证明冲激偶函数的"筛选"性质。

The theoretical proof is based on the theory of Schwartz generalized functions.

该文给出了修正的Morley方程在坐标原点具有奇性的基本解的一种构造方法,以及基于Schwartz广义函数理论的证明。

Utilizing perturbation method, stochastic equations are changed to be a series of deterministic equations, In the meantime stochastic boundary conditions become deterministic boundary conditions considering characters of generalized functions.

通过摄动法 ,将随机方程化为一系列确定的方程 ,并同时利用广义函数的性质 ,变相应的随机边界条件为确定的边界条件 ,用确定的有限元离散方法 ,推导了考虑边界形状不确定的结构振动统计特征值的近似表

On the basis of the classical valuation method of generalized functions, the set value of a generalized function has been defined by the equivalent value mode and the uniform convergence method.

在广义函数的经典赋值方法的基础上利用等价方式及一致收敛方法定义了一种广义函数的集

Pan-Linear Distributions and Its Differentiation;

泛线性广义函数及其微分

In this paper,we present first a class of distributions multiobjective programming model (short for DMPM) which is in prospect of applying.

提出一种具有应用前景的广义函数多目标规划模型。

For the purpose of expanding use scope of wavelet transform, this paper discusses wavelets transform under the framework of distribution and gives some conclutions of wavelets transform in S space.

本文将L2空间的小波变换推广到广义函数空间上,建立了广义函数框架下的小波变换,证明了广义函数的小波变换及其有关性质,使小波变换这一信号分析的数学工具有了更大的应用范围。

For iviting and requesting from the chief editor of this journal, this paper is written for replying to some readers challenge on those papers published on this journal in the past, and their contents are about the issue of distribution function δ(x).

本文应《电气电子教学学报》之邀约而写 ,旨在针对一些读者对该刊过去刊出的有关广义函数δ(x)的文章中的质疑 ,从数学角度提供一些有助于正确认识、处理和运用广义函数的辅助材

Ulam Stability of Quadratic Functional Equation in the Space of Distributions

二次函数方程在广义函数空间上的Ulam型稳定性

Applications of Stability of Quadratic Functional Equation in Generalized Function

广义函数在函数方程稳定性问题上的应用

The Properties and Operations of ω-Ultradistribution Space;

ω-超广义函数空间的性质及其运算

generalized rational distributed lag function

广义有理分布滞后函数

Generalized η-Convex Functions and Generalized Type Ⅰ Functions Multi-objective Optimization;

广义η-凸函数及广义Type Ⅰ函数多目标优化

Relationship between Generalized Partially Bent Functions and Generalized Bent Functions over Finite Fields

有限域上广义部分Bent函数与广义Bent函数的关系

A Certain Class of Meromorphically Multivalent Functions Involving the Generalized Hypergeometric Function

含广义超几何函数的亚纯多叶函数类

Generalized Riemann-Hilbert Problem for Generalized Analytic Function

广义解析函数的广义Riemann-Hilbert问题

Difference of Integrations of Broad Meaning between One Function and Plural Function;

一元函数与多元函数在广义积分上的差异

The Numerical Computation of 1 th Bessel Function Generalized Integration

一阶贝塞尔函数广义积分的数值计算

J Sets of the Newton Transform for Solving Some Complex Exponential Equation and the Generalized M-J Sets;

复指数函数Newton变换J集与广义M-J集

The Box Dimension of the First Class Generalized Weierstrass Function Firgure;

一类广义Weierstrass函数图形的盒维数

Differention and integral of function--Application of the generalized real numbers

函数的微分与积分——广义实数应用

Generalized Gap Functions and Error Bounds for Generalized Variational Inequalities

广义变分不等式的广义间隙函数和误差界

Generalized Weighted Composition Operators on Analytic Function Spaces;

解析函数空间上的广义加权复合算子

Pseudospectral Method Using Generalized Laguerre Functions and Its Applications;

广义Laguerre函数的拟谱方法及其应用

Dual Basis Functions for Generalized Ball Basis and Its Application;

广义Ball基函数的对偶基及其应用

Applications and Properties of the Extensive Characteristic Functions in Banach Spaces;

Banach空间中广义特征函数的性质及应用