查询词典 radius of convergence

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

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。

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

For example,we have the following simple result:Lei the Taylor series F =has a radius of convergence or 1, where 0 = If F is of order p (For the two cases of the radius of convergence,the meanings of "order"are different.).

如果这级数有级ρ(在收敛半径是∞或1时，"级"的意义不同)，那么在第一种情形。

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。

The radius of convergence of a power series ''f'' centered on a point '' a '' is equal to the distance from ''a'' to the nearest point where '' f '' cannot be defined in a way that makes it holomorphic.

一个中心为'' a ''的幂级数''f''的收敛半径'' R ''等于''a''与离'' a ''最近的使得函数不能用幂级数方式定义的点的距离。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。