连续性定理

第一，根据Kolmogorov连续性定理，建立了混沌&神经网络（C-ANN）预测模型；

Firstly , the C-ANN ( chaotic artificial neural networks ) forecasting model is set up based on Kolmogorov continuity theorem .

在局部Haar条件和其他一般条件下，把Bartelt和Henry的关于逼近域的线性一致逼近强单一性常数的连续性定理推广到非线性局部一致逼近。

Using the local Haar and other conditions , Bartelt and Henry ′ s continuity theorem of the strong unicity constant in linear uniform approximation is generalized to include nonlinearity in the local uniform approximation for the local strong unicity constant .

积分连续性定理和Lebesgue控制收敛定理的新证明

The new proofs of integral continuous theorem and Lebesgue controlled convergence theorem

对一类具有生育脉冲和无穷分布时滞的n种群Lotka-Volterra系统，利用重合度理论中的连续性定理，得到了存在正周期解的一个充分条件。

This paper dealt with the n-species Lotka-Volterra system with infinite distributed delays and impulses . By applying the continuation theorem of coincidence degree theory , a set of easily sufficient conditions for the existence of positive periodic solutions was obtained .

实数连续性定理的证题规律

The Law of Proof on Theorem of Continuity of Real Numbers

有序拓扑空间上多元函数的连续性定理

Continuity Theorem of the Functions of Many Variables on Ordered Topological Spaces

基于实数连续性定理等价的新探讨

A New Exploration to the Equivalence Theorems of Real Continuity

海涅定理及反函数连续性定理的等价描述

Description of Equivalent of Heine Theorem And Continuity Theorem of Inverse Function

导函数连续性定理及其推论

The Theorem of Derivative Function Continuity and Its Inference

Cantor-致连续性定理的新证明

A New Proof of the Cantor Uniform Continuity Theorem

一个连续性定理及其在对策论中的应用

A continuity theorem and its application to game theory

反函数连续性定理的补充证明

Complementary Proving of the Continuity of Inverse Function

线性赋范空间上算子的一致连续性定理

Uniform Continuity Theorem in Normed Linear Spaces

关于一致连续性定理证明的注记

Comments on the Consistent Continuous Theorem

得到T-积分存在定理，T-积分的绝对连续性定理及积分的极限交换定理。

The relationship between Bochner integral and Pettis integral , the theorem of the existence , the absolute continuous theorem and the limit of commutative theorem of T-integral are obtained .

本文利用k-集压缩算子抽象连续性定理、微分不等式和一些分析技巧等多种方法研究了两类具有偏差变元的二阶泛函微分方程周期解的存在性。

In this paper , by using the abstract continuation theorem of k-set contractive operator , differential inequalities and some analysis techniques , we study the existence of periodic solutions for two kinds of second order functional differential equations with deviating arguments .

致密性定理证明其它实数连续性基本定理

A Proof to Other Real Number Continuity Fundamental Theorems by Compact Theorem

含参数的一类非线性算子方程解对参数的连续相依性定理及应用

Continuous Dependence Theorem of Solutions for a Class of Nonlinear Equations on a Parameter and Applications

本文深入讨论了解对初位的连续依赖性定理的应用，并用截割与流匣概念来叙述该定理。

The paper discusses the applications of the continuous dependence theorem of solution to starting values , and describes it with the concepts of cut and flow box .

Fuzzy线性泛函的连续性与Hahn-Banach定理的Fuzzy推广

Continuity of fuzzy linear functional and fuzzy generalization of Hahn-Banach theorem

关于可导函数一致连续性的判定定理

About decision theory of function ′ s uniformly continuous

主要包括积分原过程的绝对连续性，平均收敛定理，一致收敛定理和Vitali收敛定理。

The main results include the absolute continuity of the integral , the average convergence theorem , the uniform convergence theorem and the Vitali convergence theorem .

由质点运动连续性公理导得力的连续性定理及关于质点运动轨迹的三个定理。

We can derive one theorem of the continuity of a force and three theorems about the trajectory of a particle with the particle-motion-continuity axiom .