无穷级数的收敛性与发散性与此概念有关。
Convergence and divergence of infinite series depend upon this concept.
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。
In deriving the integral equation, the convergence of series is modified by application of the plane Gauss Theorem.
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。
Property 3 Deleting, adding and altering the finite terms of the infinite series keep the convergence of the series.
要准确计及电子相关效应，还需通过作更高阶展开，以考察级数的收敛性。
To estimate more accurately the electron correlation effects, one has to calculate to higher orders and check he convergency of the series.
比式判别法和根式判别法是对正项级数收敛性进行判别的两种广用的方法。
The ratio test and the root test are two widely used convergence tests for positive series.
首先，通过对再生核的研究，给出了小波级数的部分和在跳跃间断点处的收敛性与再生核之间的关系的等价命题。
First, by studying the producing kernel, equivalent positions of the relation between the convergence of partial sums of wavelet expansions at jumping points and producing kernel are given.
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。
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。
However, this study should be based on the fact that the series must have consistent convergence, the judgment of which is rather difficult.
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