收敛性的

In Chapter Three, we use the method of interpolation spline of differential operater to come up with the reproducing kernel in H01 with respect to bounded linear operator in H10. Then we use the reproducing kernel to develop the expression of the best approximating of bounded linear operator in H10 and prove its convergence.

第三章中，对于H_0~1中的有界线性算子，用微分算子插值样条函数的方法给出了H_0~1空间中的再生核，利用此再生核给出了H_0~1上的有界线性算子的最佳逼近的表达形式，并证明了其收敛性。

Based on general orthogonal polynomials and general hybrid orthogonal functions, a new linear, continuous and bounded operator has been proposed in the dissertation. The definitions and properties of PGOPO are given, a various operational rules of the operator have been set up in a systematic way, the convergence of approximate solutions has been discussed. After introducing PGOPO and discussing its main properties and operational rules, a systematic methodology for solving various control problems via PGOPO has been developed.

本文在广义正交多项式及广义混合正交函数的基础上，提出了一种新的线性、连续、有界算子—分段广义正交多项式算子，探讨了这种算子的基本性质，并系统地建立了与该算子有关的各种运算规则及收敛性结论，给出了它在控制理论中的各种应用。

Moreover, if the optimization problem has certain special feature, the simpler relaxation methods can be provided. For example, considering a generalized geometric programming problem, relevant relaxation linear programming can be obtained using its special structure. Based on the branch and bound method, a linear relaxation algorithm of global optimization is presented for generalized geometric programming, and the convergence of the algorithm is also proven.

此外，当优化问题具有某种特殊性质时，我们能给出更加简便的松弛化方法，如考虑广义几何规划问题，能充分利用其特殊结构，建立了广义几何规划问题的松弛线性规划问题；在分枝定界技术的基础上，提出了一个求广义几何规划全局解的线性松弛算法；证明了算法的收敛性。

More importantly, some backward countries have realized a successful catchup or even a leap-frog process in these periods. From a long time to review the world economic growth imbalance, it is mainly demonstrated as the shifts of leadership in technology and economy.

但是，在某些特定的历史时期，各国之间的经济增长也表现出了一定的收敛性，并因此导致了国家之间总的经济实力的变化，或者某些后起国在特定阶段成功的追赶甚至超越。

Then gives out an optimised convergent algorithm and describes the system robustness by a closed curve on frequency domain, in which all possibte frequency responses.

提出一种计算过程可以迭代循环的最优收敛算法，并在频域复平面上给出描述系统鲁棒性的包络曲线，所有可能的、随系统不确定性而变化的频率响应都落在该曲线所包围的闭域内。

We introduce the notion of fuzzy-valued continuous function on a compact set K in a metric space, and discuss its properties; On this base, we study the uniformly d∞-convergence of a sequence of fuzzy-valued continuous function on K. We prove that the space of fuzzy-valued continuous functions on K, i.e. C(K, E1), is a complete metric space with respect to the metric D.

引入了定义在某度量空间的紧子集K上的模糊数值连续函数和水平连续函数的概念，讨论了它们的某些性质；在此基础上，研究了K上模糊数值连续函数列的一致d∞-收敛性，证明了K上模糊数值连续函数空间C(K， E1)关于度量 D 构成一个完备的度量空间。

The study shows the BP neural network model of hydro-turbine for s pecial discharge and special torque can be used to describe its nonlinear charac teristic and ensure the continuity of derivative function of special discharge. The convergence for hammer calculating is improved.

水轮机单位流量和单位力矩特性的BP神经网络模型能真实地表达水轮机的非线性特性，且解决了插值法的导数不连续问题，从而改善了水击计算的收敛性，为用于工程计算和科学分析的水轮机特性表达开辟了新的途径。

Thus, the model and method developed exhibit very good convergence behavior in computation and provide accurate predictions of the mechanical behaviours and displacement distributions in the nanotubes.

与一般的数值方法相比较，本文的方法不需要传统的那种冗长的、反复的迭代，并具有非常好的收敛性，因此为碳纳米管结构力学行为的有效预测提供了保障。

During the calculation you can monitor the convergence behavior of your goals, view the current results in the specified plane and displays the minimum and maximum parameter values at the current iteration (Min/Max table).

在计算期间你能监控你的目标的收敛性行为，在指定的平面中察看当前的结果并且显示当前的反复(Min/Max table)的最小和最大限度参数值。

The essence of design is to ensure trajectories of states ultimately entering into some neighborhood of the coordinate origin, and the convergence of states is evident later on.

设计的本质在于保证系统的状态最终进入坐标系原点的小邻域，而其后状态的收敛性是明显的。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。