A Proof to Other Real Number Continuity Fundamental Theorems by Compact Theorem 致密性定理证明其它实数连续性基本定理
Closed interval continuous function and continuity theorem of real number apply to a novel demonstration of general theorem of the mean. 应用闭区间连续函数性质和实数连续性定理,给出证明广义中值定理的一个新思路。
The terminal non continuity of a plane fan shaped metal blade in a circular waveguide is analyzed, and the reflective coefficients of the terminal are calculated by using the reciprocal theorem of EM fields and PO method in this paper. 分析了圆波导中平面扇形金属膜片终端的不连续性,并根据电磁场互易定理和物理光学法(PO)计算了该终端的反射系数。
By using modulus of functional continuity. A estimates of the asymptotic rate of convergence for "intermediate point" of the first integral mean value theorem and the second integral mean value theorem are given. 利用函数连续模分别给出了第一积分中值定理和第二积分中值定理的中间点收敛速度的一个估计。
Uniform Continuity Theorem in Normed Linear Spaces 线性赋范空间上算子的一致连续性定理
Firstly, the C-ANN ( chaotic artificial neural networks) forecasting model is set up based on Kolmogorov continuity theorem. 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;
Without the condition of continuity, a new random fixed point theorem is obtained and some previous results are improved. 在取消随机不动点中最重要的连续性条件下,得到了一类新的随机不动点定理,改进和推广了以往的一些结果。
Based on the continuity theorem of the air mass variation in the slide guide, dynamic motion equations of the multi-throttle air-lubricated hydrostatic slide guide are also built. 根据气体质量变化连续性特点,建立了表面复合节流方式的静压导轨动态方程,由此对表面复合节流方式的静压导轨进行了稳定性分析。
The equivalence of some propositions describing the continuity of real numbers and coordinate plane is proved, for example: In the coordinate plane, using the compactness theorem the Cauchy convergence principle is proved; 证明了描述数直线和坐标平面的连续性的一些命题的等价性,如在坐标平面上,用致密性定理证明Cauchy收敛准则;
During the teaching of infinitesimal calculus, it is difficult for students to learn the definition of functional limit and continuity, differential mean value theorem, multivariate compound function. 在《微积分学》教学过程中,函数极限与连续的定义对学生来说是一个很难理解、掌握而又棘手的问题;微分中值定理又是一个难点;
We obtain two equivalent conditions for a C 0-semigroup with continuity in the uniform operator topology for t> 0 and t> t 0 in Hilbert space respectively, then we get the characteristic theorem for compact semigroup. 给出Hilbert空间上C0半群T(t)在t>0和t>t0时是一致算子拓扑连续的等价条件,进而得到紧半群的特征定理。
Continuity Theorem of the Functions of Many Variables on Ordered Topological Spaces 有序拓扑空间上多元函数的连续性定理
In this paper, we study the continuity and differentiability of minimal mean value function(ξ( x)) in the integral mean value theorem and Taylor's formula. 讨论了积分中值公式和泰勒公式最小中值函数ξ(x)的连续性和可微性。
Continuity of fuzzy linear functional and fuzzy generalization of Hahn-Banach theorem Fuzzy线性泛函的连续性与Hahn-Banach定理的Fuzzy推广
A New Proof of the Cantor Uniform Continuity Theorem Cantor-致连续性定理的新证明
A continuity theorem and its application to game theory 一个连续性定理及其在对策论中的应用
Description of Equivalent of Heine Theorem And Continuity Theorem of Inverse Function 海涅定理及反函数连续性定理的等价描述
The main results include the absolute continuity of the integral, the average convergence theorem, the uniform convergence theorem and the Vitali convergence theorem. 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。
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. 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。
A Method to Prove the Continuity Theorem and Bochner-Khinchin's Theorem for Characteristic Functions 特征函数连续定理及Bochner-Khinchin定理的简单初等证明
Cantor, the paper presents conditions of uniform continuity of a function in arbitrary boundary, and discusses the simple distinguish method for nonuniform continuity. Theorem C. 康托尔定理出发,清晰的给出在任意区间的函数一致连续的条件,并且讨论非一致连续的简单的判别方法。
The three greatest limit theorems of Lebesgue integral are from the function sequence situation popularized to the continuous parameter situation. Using the results we proved the continuity theorem and differentiability theorem of Lebesgue Integra depending on a parameter. 将Lebesgue积分的三大极限定理从函数列情形推广到连续参数情形,并由此证明了含参量Lebesgue积分的连续性与可微性。
Furthermore, the concept of connectivity functions closely connected with the rough continuity is introduced, by which the new intermediate value theorem is proved strictly. 提出与粗糙连续性密切相关的连通函数的概念,以此为工具对新介值定理作出严格的证明。
Proof the existence of wavelet process neural network solution theorem, proof the wavelet process neural network continuity theorem, proof the wavelet process neural network approximation theorem and proof the wavelet process neural network calculation capacity theorem. 从理论上证明了小波过程神经网络解的存在性、小波过程神经网络的连续性、小波过程神经网络的逼近能力以及小波过程神经网络计算能力等定理。