In deriving the integral equation, the convergence of series is modified by application of the plane Gauss Theorem.
在建立积分方程时，运用平面高斯定理改善了级数的收敛性。
We pay treat attention to the working plan for the far. ocean area. Calculated formulas and coefficients concerned are given, and the problem to speed up the convergence of series is studied.
着重讨论了远洋区的实施方案，导出了必要的工作公式，并就加速远洋区级数收敛问题作了探讨。
The series converges uniformly on compact subsets of the interior of the annulus of convergence.
该级数一致收敛于收敛环内的紧子集上。
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。
It is found that the Fourier and Blot Numbers have big effect on the convergence speed of series solution.
通过对级数解的数值计算发现傅立叶准则和毕渥准则对级数解的收敛速度有显著的影响。
Because they have same convergence region, sum of series and combinational twin identifies was obtained using the method of substitution.
它们有相同的收敛区间，应用代入法求出它们的级数和，从而获得孪生组合恒等式。
We obtain a sufficient condition and a essential - sufficient condition about convergence at the end point of the convergence interval of power series.
通过对阿贝尔定理的深入探讨，获得了幕级数在其收敛区间端点收敛的一些判别条件。
In order to overcome the demerit of the slowness of the series convergence, we put forward the series summation formula.
为了克服级数收敛缓慢的缺点，提出级数求和公式。
The convergence of the formal series solution to the initial boundary value problem for the non-homogeneous wave equation is considered.
考虑非齐次波动方程初边值问题的形式级数解的收敛性问题。
We obtain a convergence theorem of alternative series differing from Leibniz test by discussing and analyzing the convergence of a kind of alternative series, and generalize the using limits of J.
讨论和分析了一类交错级数的收敛问题，给出了异于莱布尼兹判别法的关于交错级数的一个收敛定理。
In this paper, we investigate the fluctuation limit of a series of fractional Brownian motions, and prove the large number law and the central limit theorem in generalized convergence.
研究了一列分式布朗运动的起伏极限，证明了广义收敛意义下的大数定律和中心极限定理。
This paper proposes a iterative formula for solution to real roots of nonlinear equations, proves convergence of the iterative series.
本文给出一个求非线性方程实根的迭代公式，证明了由此产生的迭代叙列的收敛性。
To find the solution of power series convergence domain, it is important to get its radius of convergence.
求幂级数收敛域最关键的是求它的收敛半径。
A theoretical consideration to estimate the convergence conditions in learning control process is proposed in accordance with the limit condition of a geometric series.
并提出了一种基于几何级数的极限条件估计学习控制过程收敛条件的理论方法。
Moreover, we discuss the convergence for randomly weighted sums of B-valued martingale difference series.
还进一步讨论了B值鞅差序列随机加权和的收敛性。
In many current textbook, the monotone bounded theorem is used to the proof the convergence of a kind of but this method is uneasy to series, understand.
应用单调有界定理证明一类数列的收敛过程中，一般高等数学和数学分析教材中，处理的思路方法不易想到或过程较为繁琐。
This paper is mainly about recognizing convergence with the methods of infinitesimal equivalence in the limit form of convergence criterion in series of positive terms .
文章着重介绍了在正项级数比较审敛法的极限形式中，用等价无穷小的方法来判别正项级数的敛散性。
In this paper double series of functions with posititve coefficients are discussed and a natural condition of the convergence is obtained with the aid of matrix methods.
本文利用矩阵方法对二重函数项级数进行讨论，得到了极其自然的收敛条件。
Based on the state space analysis, the time series analysis method for identification of the stochastic continuous signals, proved as consistent convergence, is given.
基于状态空间分析，给出了连续随机信号建模的时间序列分析方法，并证明了参数估计的一致收敛性。
On the current existing discriminance, aimed to provide students with good ideas, a judgment mode of convergence or divergence of interlock series has been set out after comparison and analysis.
对已有交错级数的敛散性的判别法加以了综合、比较，结合交错级数自身的特性，给出了交错级数敛散性的一个判别模式。
Property 3 Deleting, adding and altering the finite terms of the infinite series keep the convergence of the series.
性质3在级数中去掉、加上或改变有限项，不会改变级数的收敛性。
Prove one simple nature of convergence for sequence of Numbers, Popularize this to convergence series.
证明了收敛数列的一个简单性质。
This article offers a footnote about Gauss test for convergence of the positive series, extends Gauss test and establishes a more meticulous test for convergence of the positive series.
对无穷级数的高斯判别法给出了一个注记，推广了高斯判别法，得到了一个更精细的判别法则。
However, this study should be based on the fact that the series must have consistent convergence, the judgment of which is rather difficult.
对于函数级数，研究其和函数的解析性质很重要，但函数级数必须具有一致收敛性，而判断函数级数的一致收敛性往往是比较困难的。
This paper studies the concept of infinitesimal and infinity, and discusses the convergence of sequence, function and series with the estimation of the orders.
文章通过对无穷小量与无穷大量的阶的概念研究，用阶的估计讨论数学分析中数列、函数及级数收敛问题，也为收敛问题深入研究提供了一种方法。
This article defines the sensitivity of dispersed variable. And we can use it to analyze the order of a infinite and judge the convergence of a constant term series.
给出离散变量的灵敏度之定义，且通过变量的灵敏度分析无穷大量的阶，从而判断常数项级数的敛散性。
In this paper, the pointwise convergence and divergence of a class of generalized Fourier series generated by piecewise linear spectral sequences are studied.
研究由分段线性谱序列生成的广义傅里叶级数的逐点敛散性。
By using the density theory of theories of Numbers, the article gives the density discrimination method determining the convergence and divergence characteristic of the positive term series.
借鉴数论方法中的密率论，给出判别正项级数敛散性的密率判别法，此方法特别适用于判定一些较难或不能给出通项表达式的级数的敛散性。
By using the density theory of theories of Numbers, the article gives the density discrimination method determining the convergence and divergence characteristic of the positive term series.
借鉴数论方法中的密率论，给出判别正项级数敛散性的密率判别法，此方法特别适用于判定一些较难或不能给出通项表达式的级数的敛散性。
应用推荐