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Where ,is the coefficients of power series .The radius of convergence is given by

其中，是幂级数的相邻两项的系数，则这幂级数的收敛半径为

A power series with a positive radius of convergence can be made into a

将一个收敛半径是正数的幂级数的变量取为复数，就可以定义一个

The convergence width and radius are used for evaluating the measure convergence.

对于收敛性能的评价，提出收敛宽度和收敛半径的概念。

Expand the integral from 0 to x of sin/t and find the radius of convergence

展开sin/t在0到x上的积分，并找出收敛半径

And the radius of convergence of the differentiated series is the same as for the orginal series.

逐项求导后所得到的幂级数和原级数有相同的收敛半径。

And the radius of the convergence set of the differentiated series is the same as for the orginal series.

定理5 如果幂级数的收敛半径为则其调和函数在内可导，且有逐项求导公式

Power series, radius of convergence; function that can be expanded in a power series on an interval.

幂级数；收敛半径；可展开为幂级数的函数。

The radius of convergence can be characterized by the following theorem

收敛半径可以被如下定理刻画

Property 2 (Term-by-Term Integration) Suppose that is the sum of a power series on interval ;that is,Then, if is interior to ,and the radius of convergence of the integrated series is the same as for the orginal series.

性质 2 幂级数的和函数在其收敛域上可积，并有逐项积分公式，，逐项积分后所得到的幂级数和原级数有相同的收敛半径。

By improving the Holder condition which the divided differences of order one satisfy,we obtain radius of convergence ball the uniqueness ball.All the theoretical conclusions are tested and verified by a numerical example.

通过改进一阶差商所满足的Holder连续条件，得到了两点弦截法的收敛球半径和方程具惟一解的球半径，并用数值例子验证了理论结果。

As of Tuesday, Google's results were still censored in China.

截至周二，谷歌的搜索结果仍受中国审查。

In order to make the positive action increase and negative one decrease, the sub-forces of the social factors must be adjusted to form a centripetal force.

在这一过程中，人的主体性发挥是社会有机体健康发展的灵魂。