A study on Borel s integral summation of divergent series;
波莱尔发散级数的积分可和思想研究
This text is about the divergent series that is satisfied with some conditions to give two different definition of sum, that is, the Arithmetic Sum and the Abel Sum.
文章主要是对满足某些条件的发散级数给出两种不同的求“和”定义,即算术平均求和与Abel求和,它与通常数学分析中Cauchy意义下所定义的求和是有区别的。
The purpose of this paper is to probe and to analyze his mathematic work on function approximation, the summation of divergent series, function singularities, measure theory and analytic continuation.
本文仅限于Borel在函数理论五个方面“函数逼近理论”、“发散级数可和理论”、“函数奇点理论”、“测度理论”、“解析开拓理论”的工作进行探讨。
summability theory of divergent series
发散级数的可和性理论
Harmonic Progression Is Still Divergence--Ussing with Zhang Hui;
调和级数仍是一个发散级数——与张慧同志商榷
In particular, by applying Abel summation method to obtain broad sense sum of divergence series,the calulation of summation was made from convergence series to divergence series.
用阿贝尔求和法求出发散级数的广义和,跨出了求和由收敛级数到发散级数的一步.
Abelian Theorem and Tanberian Theorem of Theory of Divergent Series
发散级数论中的阿贝尔型定理与陶伯尔型定理
SOME PROOF ABOUT THE NON-CONVERGENCE HARMONIC SERIES;
关于调和级数发散性的几种证明方法
Convergence and divergence of infinite series depend upon this concept.
无穷级数的收敛性与发散性与此概念有关。
Strategies of Thinking Reflected in Proving out "Harmonic Series Divergence;
“调和级数发散性”证明中体现出的思维策略
A Brief Proof for Convergence and Divergence of Harmonic progression and P progression
调和级数与P级数敛散性的简单证法
On Several Simply Methods Proof of The Divergency of sum from n=1 to ∞(1/n)
关于调和级数sum from n=1 to ∞(1/n)的发散性的几种简单证明
discrete Fourier series representation of discrete-time periodic sequences
离散时间周期序列的离散傅里叶级数表示
Two Methods of Distinguishing Convergence and Divergence of Positive Terms Series;
关于正项级数敛散性的两种判别方法
The Convergence-Divergence and Estimation Formula of Generalized p-Series;
广义P-级数的敛散性及其估值公式
Teaching Method of Series of Constant Terms and Their Convergence and Divergence;
关于数项级数及其敛散性概念的教学方式
Hyperbolio Function Series Method for Solving a Kind of Nonlinear Reation Diffusion Equtions;
一类非线性反应扩散方程的双曲函数级数解法
Associative memory system based on discrete taylor series
基于离散泰勒级数的新型联想记忆系统
Debye Series Expansion of Plane Wave Scattering by Homogeneous Spheroidal Particles;
均匀椭球粒子对平面波散射的Debye级数展开
Debye Series Expansion of Electromagnetic Scattering by Inhomogeneous Particles and Its Applications;
非均匀粒子电磁散射Debye级数展开及应用
A Proof of the Guess about the Convergence or Divergence of a Series and the Relevant Theorems;
一个级数敛散性猜想的证明及相关定理