绝对收敛级数

Based on the research of fuzzy valued functions, the absolute uniform convergence for the series of fuzzy valued functions is discussed, by using concept of the metric and absolute valued of fuzzy numbers.

基于模糊值函数的研究，利用模糊数的度量以及模糊数的绝对值概念，讨论了模糊值函数级数绝对一致收敛性，给出了模糊值函数级数绝对一致收敛性的一个充要条件和几个推论。

This paper investigates the absolute convergence of the Fourier Laplace series concerning of some smooth functions defined on the unit sphere in R n,hereinto shows that:if f is 2([n4]+1) th continuously differentiable function on H r P,then the series ∑∞k=0Y kf converges uniformly to f.

讨论了n 维球面上某些可微函数类的Fourier Laplace级数的绝对收敛性，其中指出：设f是Hrp上 2 ( [n4 ]+1)次连续可微函数，则级数∑∞k =0 Ykf一致收敛到f参

Analytical expressions for electromagnetic fields of a vertical or horizontal electric dipole over the finitely conducting plane are derived subject to the boundary conditions; Sommerfeld type integral contained in Hertz potential is expressed as the sum of two parts: zeroth order Hankel function and an absolutely convergent series of spherical Hankel function.

在此边界条件下，推导出有限导电平面上垂直和水平电偶极子电磁场的解析表达式；赫芝位函数中的索末菲型积分被表达成零阶汉克尔函数与绝对收敛的球汉克尔函数级数之和的形式。

There exist bounded multiplier convergent series which are not absolutely convergent.

一定存在有界乘数收敛级数不是绝对收敛的。

A series is said to be converges absolutely if the series converges; the series is called conditionally convergent, if the series converges but diverges.

绝对收敛如果级数收敛；称级数绝对收敛，如果级数收敛，而发散，则称级数条件收敛。

Theorem 1 If the power series is convergent at ,then for any that ,the power series absolutely converges at point ;if the power series is divergent at ,then for any that ,the power series diverges at point .

定理1 如果级数当时收敛，则适当不等式的一切使这幂级数绝对收敛；反之，如果级数当时发散，则适合不等式的一切使这幂级数发散。

Theorem 8 If the series converges absolutely, the series must be convergent.

定理8 如果级数绝对收敛，则级数必定收敛。

Absolutely convergence part and uniform convergence real part for the exponential series has been given.

给出了指数级数收敛实部、绝对收敛实部及一致收敛实部公式的严格证明。

A strict proof of the formulas of the convergence real part,absolutely convergence part and uniform convergence real part for the exponential series has been given.

给出了指数级数收敛实部、绝对收敛实部及一致收敛实部公式的严格证明。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。