连续函数

平面区域上连续函数的Fourier系数的估计

The estimate of Fourier coefficients of continuous function in regions

f（s）是连续函数，满足一定的增长性条件；u。

F ( s ) is continuous function and satisfies some increasing conditions ;

叙列空间上的K级绝对连续函数

Absolute Continuous Functions of Order K on the Sequence Spaces

赋予Fell拓扑的连续函数下方图形超空间

The Hyperspace of the Regions Below Continuous Maps with the Fell Topology

叙列空间上三种k级绝对连续函数及其关系

Three kinds of absolute continuous functions of order k and their relations on the sequence spaces

抽象K级绝对连续函数

Abstract Function of Absolute Kth Continuity

定义了n重导数，n元绝对连续函数，广义n重原函数及牛顿n重积分。

It defines n-ple derivative , n-ary absolutely continuous function , generalized n-ple primitive function and Newton n-ple integral .

构造一个三层BP神经网络，实现了连续函数的逼近。

This paper introduced a three layer BP neural network , and realized the approximation of a continuous function .

同时给出了模糊推理神经网络与传统BP神经网络的连续函数逼近等价定理，即任何一个传统的BP网络都存在某个模糊推理神经网络以给定的精度逼近它；

It proposes the equivalence theorem of continuous function between fuzzy reasoning neural network and traditional BP neural network .

Banach空间取值的囿变函数与绝对连续函数的两个重要结论

On Two Important Results About Bounded Variation Function and Complete Continuous Function Mapping into Banach Space

并进一步证明了在复平面C上，任意区域的拓扑边界上的连续函数代数的K1群与它边界上的同伦群同构。

And prove that the cohomotopy groups is isomorphic to K_1-group of the continuous algebra on topological boundary of domains in C.

正方形上的Lipschitz连续函数的Bernstein多项式的Lipschitz常数

Lipschitz Constants for Bernstein Polynomials of a Lipschitz Continuous Function over the Square

BP神经网络是一种局部逼近的神经网络，理论上只要足够多的神经元，BP神经网络就可以逼近任意精度的连续函数。

BP neural network is a kind of local approximation neural networks . In theory , it can approximate any continuous function if there is enough neural .

本文研究用变形Bernstein算子（f，x）对不连续函数的逼近，得到了两个结果。

Using deformed Bernstein operator ( f , x ) , this paper studies the approximation of discontinuous function and obtains two results .

连续函数列的极限函数不是Riemann可积的一个例子

A Case of the Limit Function of A Sequence of Continuous Functions Being Not Riemann Integrable

Chui与ChunLi研究了R上有界一致连续函数空间的小波构造和分解，但在许多实际问题中，用到的是二维空间的情形。

Chui and Chun Li studied the construction and decomposition of wavelets in the space of bounded uniformly continuous functions on R.

定理2.1.2设u，f和g是定义在R+上的非负连续函数，并且c是一个非负常数。

Our main results are as follows : Theorem 2.1.2 Let u , f and g be nonnegative continuous functions defined on R_ + and let c be a nonnegative constant .

未确知连续函数关于Darboux连续函数的若干讨论

Unascertained Continuous Function THE CHARACTER ON THE DARBOUX CONTINUOUS

BP神经网络能很好地实现对连续函数的映射的无限逼近，从而为解决基础坑施工成本估算问题提供了理论和现实的指导意义。

The BP neural network can approach the successional function infinitely . BP Neural network provides with a theory and practical instruction to solve the problems of cost evaluation in the delve foundation construction .

RBF神经网络具有学习速度快，能够以任意精度逼近任意连续函数，特别适合解决故障分类问题，所以本文提出了在相同仿真条件下采用RBF网络来实现故障识别。

RBF neural network is especially suitable for solving the problem of fault classification with fast learning speed and the ability to approximate any continuous function at arbitrary precision .

在Banach空间中引进了三种绝对连续函数的概念：（1）弱绝对连续；（2）绝对连续；

This article introduces three concepts of absolute continuous functions in Banach space , that is , weak absolute continuous , absolute continuous , strong absolute continuous .

RBF网络模拟人脑中局部调整和相互覆盖接收域的神经网络结构，是一种局部逼近网络，它可以以任意精度逼进任意连续函数。

RBF network is a structural simulation of local regularization and mutual overcast in human brain . With local approximation characterize , it can approximate arbitrary continuous function with arbitrary precision .

并根据改进的连续函数法计算了PO4-P在沉积物-海水界面上交换速率。

In the function method , the average exchange rates of PO_4-P at the sediment-water interface were calculated .

基于连续函数介值定理思想和模拟人类的聚焦搜索行为，利用云运算实现交叉、变异操作，提出了CEA。

Based on the intermediate value theorem of the continuous function and the simulation of human focusing search , CEA is implemented using cloud models as crossover and mutation operators .

由Weierstrass在1885年证明：对于连续函数能被多项式一致逼近。

Theorems proved by Weierstrass in 1885 which says that the continuous function can be approximated uniformly by polynomials .

采用有限连续函数集描述二维和三维地电模型，可将MT二维和三维连续介质反演问题转变为泛函的变分问题。

The inversion problem of 2-D and 3-D magnetotelluric data in continuous medium can be changed into fonctionelle variational problem by using finite continuous function family to describe 2-D and 3-D geoelectric models .

本文探讨用奇异积分逼近连续函数的精确常数问题。当核为Vallée&Poussin核或Fejér核时，作者对于与一阶连续模及二阶连续模有关的精确常数问题做出了完整的解答。

In this paper we consider the problem of the accurate constant of approximation of periodic continuous functions by singular integral .

首先介绍了各种形式的TS模型以及它们对任意连续函数的逼近特性，其逼近特性决定了其能以任意精度近似任意实际非线性系统。

At first we introduce all kinds of TS model and their characteristic of approximation to arbitrary continuous function , which allows TS model approximate any physical nonlinear system within arbitrary accuracy .

T-S模糊系统可以通过一组模糊集合对复杂非线性系统进行有效的描述，并且可以以任意精度近似n维欧氏空间中的连续函数。

T-S fuzzy systems can describe the complex nonlinear systems by a group of fuzzy set ; also it can approximate the continuous function in n-dimensional Euclidean space by any degree of accuracy .

首先，基于BP神经网络能以任意精度逼近任何非线性连续函数，以及神经网络自学习和自适应的特点，作者设计了一个通过学习专家意见或业内人士的经验来进行供应商评价的BP网络模型。

First , based on the theory that the BP neural network can compel any no-linear function by any precision and posses ability of self-organizing learning , BP neural network model with reference of expert opinion and insiders advice was built to evaluate supplier .