查询词典 weak convergence

The decay of effect of a self-equilibrated system of forces in chain model is decided by the convergence of operator continued fraction, so the reasonable part of Saint-Venant's principle is described as the convergence of operator continued fraction.

平衡力系的影响在链式模型上由近及远的衰减受算子连分式的收敛性的控制，所以圣文南原理的合理成分体现为算子连分式的收敛性。

We study the relations among MS, QMDS, RBVS, AMDS, GBVS and NBVS. Finally. we improve some classic results in Fourier analysis such as uniform convergence, L~1 convergence, L~p-integrability, strong approximation of continuous functions et al., by applying this new condition.

我们研究了MS，QMDS，RBVS，AMDS，GBVS和NBVS等不同数列之间的关系，在此基础上，我们给出了NBV条件在研究三角级数的一致收敛性、L~1收敛性、L~p可积性、连续函数的强逼近等Fourier分析经典问题上的应用，对一些经典的结论作了推广。

Furthermore, the first-order optimality condition and its equivalent reformulations for generalized semi-infinite max-min programming with a non-compact set are presented using the lower-Hadamard directional derivative and subdifferential.2. Chapter 3 studies the gradient-type methods for unconstrained optimization problems. Section 1 proposes a new class of three-term memory gradient methods. The global convergence property of the method is established. Furthermore, in order to improve the convergence property of the method, a new class of memory gradient projection methods is presented with the property that the whole sequence of iterates converges to a solution to the problem under the conditions such as pseudo-convexity and continuous differentiability of objective function. In section 2, two new classes of methods, called gradient-type method with perturbations and hybrid projection method with perturbations, are proposed. In these methods, non-monotone line search technique is employed, which makes them easily executed in computer.

第3章研究了无约束优化问题的梯度型算法，第1节提出了一类新的三项记忆梯度算法，讨论了算法的全局收敛性，进一步提出了一类新的具有更好收敛性质的记忆梯度投影算法，并证明了该算法在函数伪凸的情况下具有整体收敛性，第2节在非单调步长搜索下提出了带扰动项的梯度型算法及其混合投影算法，这两类算法的一个重要特征就是步长采用线搜索确定而不象许多文献中那样要求步长趋于零，这样更容易在计算机上实现，在较弱的条件下证明了这些算法的全局收敛性，数值算例表明了算法的有效性。

We give the sufficient-necessary condition of convergence and the sufficient condition of eventually contractive convergence introduced by Fisher is explained.

另一方面，根据线性控制理论的某些结果，提出了用系统的特征值来分析解码吸引子的收敛性的新手段；并给出了收敛的充要条件以及Fisher终值压缩收敛的充分条件。

In 1947,Hus and Robbin defined the complete convergence,which is stronger than almost everywhere convergence.

Hus和Robbin于1947年提出了完全收敛性的概念，完全收敛比几乎处处收敛更强。

In 1947, Hus and Robbin defined the complete convergence, which is stronger than almost everywhere convergence.

Hus和Robbin于1947年提出了完全收敛性的概念，完全收敛比几乎处处收敛条件更严格。

For Chinas inter-regional economic gap, although there has s a lot of research literature and quite a few research analyzed from the angle of convergence theory, but there has few analysis involved convergence mechanism.

对于中国地区间经济差距的研究文献虽然很多，其中也不乏收敛角度的研究，但是鲜有涉及收敛机制的分析。

In view of the tedious and mistakable manual calculation in measuring Gauss projection,coordinate zone transformation and meridian convergence,an itera-tive approximation method is adopted and programmed by BASIC to imple-ment the direct and converse calculation of Gauss projection and computer cal-culation of meridian convergence angle.

针对测量工作中人工进行高斯投影、坐标换带和平面子午线收敛角计算非常麻烦又容易出错的问题，采用迭代法趋近求值，用BASIC语言编制了相应的计算机程序，实现了上述计算。

Through some analysis, we found that for GMRES too, changes in convergence behavior seem to be related to the convergence of Ritz value.

通过分析，我们发现GMRES的加速收敛与其斜投影过程中产生的Ritz值对特征值的逼近程度有关系。

The essence of EGA's global convergence and its behavior characteristics are analyzed. Two kinds of realization methods of EGA are studied and convergence analysis of them is carried out.

首次给出了最优保留及最优保留GA的规范化定义，分析了EGA全局收敛的本质及表现特征。

The teacher likes the honeymouthed little girl very much.

老师很喜欢这个嘴甜的小姑娘。

Mr. Notker Bien's interests are traveling, spending quality time with the family and long-distance-running.

诺特卡·柏恩先生热爱旅游，长跑，以及和家人一起共度美好时光。