收敛性

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

Chavent's research for matching the history of production in a field by use of optimal control theory and through the research for the space of the adjoint function, we have extended the theory of adjustment for the ease of a single-phase system to a double-phase one.

Chavent利用最优化理论研究油气藏生产动态拟合的基础上，通过对伴随函数空间的研究，将辨识理论由单重介质系统扩展至双重介质系统，并针对原方法多解，迭代中易发生逸出、振荡、仅收敛于局部极小等困难，重点研究和探讨了改善问题的适定性和加速算法的收敛性问题。

Convergence of semi-iterative method was discussed by Varga, Young and HU Jia-gan when iterative matrix is symmetric. In this paper, using Chebyshev polynomial and its properties, we obtain the convergence of semi-iterative method for a class of antisymmetric iterative matrix.

本文依据Varga， Young，胡家赣书中介绍的迭代矩阵为对称阵时，半迭代法的收敛性的理论，以Chebyshev多项式及其基本性质作为基本工具，对一类反对称迭代矩阵，研究其半迭代法的收敛情况。

The effective prediction space concept is established, On the base of these, this paper deduces two representations' evaluating equation, one evaluates the prediction error and the other evaluates the prediction error in limited space. First, the error transfer characteristic among subsystems at different space locations is analyzed, and the direct transfer characteristic from discrete standard measure space to the workpiece measure space under measured in measure system is proven. Second, the error reconstruction condition and method of mapping from discrete standard measurement system to continuous standard measurespace are analyzed.

分析了不同空间位置子系统间的误差传递特性，证明了在测量系统中离散标准量值空间向被测量工件量值空间的直接传递性；分析了离散标准量系统向连续量值空间映射的误差重构条件和方法；基于测量样本的有限距离的平稳性，证明了预报模型对动态测量误差的有限收敛性和预报误差的可测度性，进而证明了以离散标准量值系统对被测工件预报修正的可行性和合理性。

Finally, the existence, uniqueness and convergence of solution to the original reaction diffussion system are obtained by the properties of heat conduction equation.

借助于热传导方程与反应扩散方程组的同解性，最终得到了反应扩散方程组解的存在性、惟一性以及收敛性。

The empirical study indicates that since China's reform and opening, especially during the period from 1981 to 2005, there are both the effect of Neoclassic Growth Convergence Mechanism and that of New Growth Convergence Mechanism.

实证结果表明：改革开放以来，特别是1981－2005年期间，我国区域经济增长收敛性既有新古典收敛机制的作用，同时也有新增长收敛机制的作用。

To obtain quadratical convergence, however, strict complementarity condition at the Danskin point was used. The condition is too strict to be satisfied in many practical problems such as discrete semi-infinite minimax problem. Another kind of Newton method for finite minimax problems was presented by E. Polak and, without strict complementarity at the Danskin point, superlinear convergence (of order 3/2) was proven.

Polak等人提出了一种直接求解极大极小问题的二阶收敛的牛顿法，但是为获得二阶收敛速度要求在Danskin点处满足严格互补条件，这个条件太强，很多实际问题尤其是半无限极大极小问题的离散化不满足该条件；他们又给出另外一种牛顿法，在不假设严格互补条件成立的情况下，证明了它的超线性（3/2阶）收敛性。

The research goals for mobile databases are availability and scalability, mobility, serializability, and convergence.

移动数据库的研究目标是实现高可用性与可伸缩性、移动性、可串性、收敛性。

It is proved that Newton iteration method is still quadratically convergent under a weak condition, and a new point is added to Newton s method , i.

本文讨论求解非线性方程的牛顿法，证明牛顿法在一个弱条件下仍保持局部二阶收敛性，给出牛顿法的一点改进，即一个不带导数的单参数的二阶收敛的迭代法，而且分别得到这两种迭代法的收敛因子，最后进行数值实验

Because the convergence of homotopy methods is larger than Newton methods, so it can make up for this disadvantage.

同伦方法具有大范围收敛性，对初值要求不高的优点，但收敛速度慢；Newton法具有收敛速度快的优点，但对初值要求苛刻。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。