条件收敛的

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。

First, under certain detectability that the system satisfies, the sufficient conditions are presented for the asymptotic convergence of the observer error by using the singular value theory. The method of solving gain matrix is presented based on the Riccati equation.

首先， 当系统满足某种可检测性时，利用奇异值理论得到了使得观测误差渐近收敛的增益矩阵需满足的充分性条件，并基于Riccati方程给出了计算增益矩阵的方法。

A class of convergent difference schemes with several parameters is proposed. According to the relationship between the subdivision scheme and its difference scheme and the sufficient condition for C\+k continuity, we can devise curve subdivision schemes with arbitrary order continuity.

构造了一类收敛的多参数差分格式，根据细分格式和差分格式的关系以及连续性条件可得到任意阶连续的多参数曲线细分格式。

A class of conjugate descent algorithm with single parameter βk for unconstrained minimization problems is presented and it is proved that this algorithm is of descent feature when it satisfies the condi- tion of a sort of inexact linear searching and, in addition, it is globally convergent.

给出了无约束问题一族含有一个参数βk的共扼下降算法，证明了该共扼下降算法在满足一种非精确线性搜索条件时是下降的，而且是全局收敛的。同时可以看到共扼下降算法是其特例

The convergence theorem is established for the numerical algorithm applied to the problem satisfying some assumptions.

在适当的条件下，证明了此算法产生的序列解是收敛的。

A costate prediction method based on bilinear model is presented. Using simple general model, two implemental DISOPElike algorithms based on Hopfield network and on temporal decomposition method are proposed respectively.

同时对于具有终端状态等式约束问题，建立了基于时变线性模型的递推DISOPE算法；对于非齐次双线性二次型问题提出了一个迭代算法，并且给出了该算法收敛的充分条件；给出了基于双线性模型的协状态预测算法；利用一般模型，分别提出了基于Hopfield网络和时间分解方法的DISOPE算法。

The finite dimension approximating solution for initial-boundary value problem of coupling nonlinear system of hyperbolic equation is constructed by orthogonal basis of characteristic value sequence of the Laplace operator in the Dirichlet boundary conditions.

以Laplace算子在Dirichlet条件下的特徵值序列为正交基底构造耦合非线性双曲型方程组初边值问题的有限维近似逼近解，证明该逼近解的一致收敛性。

In this paper the convergence of random dirichlet series under identicaldistributed and φ-mixing variables {Xn} satisfy the following|and other suitable conditions are studied and some new results are also given.

本文利用强大数定律和Borel-cantelli引理研究了随机狄里克莱级数为同分布的φ-混合序列，且满足，等条件时的收敛性，得到了一些新的结果。

Simulation results of theimproved algorithm show that the proper rotation matrix is always obtained,which inturn improves the accuracy of the translation vector.

本文提出了增加旋转矩阵约束条件的改进方法，建立了共面特征点的共线性方程，得到了一种快速、准确且能全局收敛的位置、姿态测量算法。

In the first chapter, we used the method of majoring sequences to studied the convergences of Newton s methods of " reducing the counting of derivative" and "without inversing of derivative under weak conditions".

在第一章中，用优序列方法研究了减少导映照计值次数和避免导映照求逆的牛顿迭代在弱条件下的收敛性。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。