查询词典 limit in the sense of pointwise convergence

For example, the class of all limit ordinals is closed and unbounded : this translates the fact that there is always a limit ordinal greater than a given ordinal, and that a limit of limit ordinals is a limit ordinal (a fortunate fact if the terminology is to make any sense at all!).

例如，所有极限序数的类是闭合且无界的：这解释了总是有一个极限序数大于给定序数，而且极限序数的极限是极限序数的事实。

The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有：（1）证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性，给出了收敛指标的特征刻划，对不在奇性平面上的点，还证明了点态收敛性，这些成果同时推广了经典球面调和展开和雅可比展开的结果；（2）利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理，并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理；（3）利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析，证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性，特别是对小于1的一些指标p，建立了相应的哈代空间的基本理论。

Government transfer payment is an important policy instrument to coordinate regional economy. This paper measures and analyzes the convergence test of income during 1995-2004, and analyzes the relationship between transfer payment after tax-sharing system reform in 1994 and regional economic convergence through econometric analysis. It concludes that income has neither absolute convergence nor conditional convergence in the nationwide. The overall transfer payments did not meet the goal of narrowing income gap, especially in the central and western regions.

转移支付是政府协调区域经济的重要政策手段，本文测算和分析1995年－2004年省区收入的收敛检验，并运用计量方法分析了1994年分税制改革以后转移支付与地区经济收敛的关系，得出的结论是：收入的收敛模式在全国范围内没有绝对收敛，也没有条件收敛，转移支付总体上没有达到缩小地区收入差距的效果，并且突出表现在中部和西部地区。

The empirical issue of income convergence has been concluded that there appears to be local convergence without global convergence, once different factors are controlled for, the evidence then points to the existence of conditional convergence.

经验研究表明，世界上只有局部趋同而没有全球范围内的趋同，一旦对不同的要素变量加以控制，将出现条件趋同。

Based on the measurement and calculation of Chinese agricultural Total Factor Productivity using the non-parameter Data Envelopment Analysis and Malmquist productivity index approach,the paper has tested the convergence hypothesis of the agricultural TFP growth in China for the transformational period(1978~2005),and this includes the σ convergence,unconditional β convergence and the conditional β convergence.

在利用非参数的DEA曼奎斯特生产率指数方法对中国农业全要素生产率进行求解的基础上，论文运用经济增长收敛理论对农业TFP(Total Factor Produc-tivity)增长在1978~2005年转型期的收敛性情况进行检验，这包括从σ收敛、绝对β收敛到条件β收敛的全面检验。

So the convergence rates of space convergence clubs generally are beneath the convergence rates of time convergence clubs.

在同一时间区域组中进行的横截面回归、面板数据分析及单位根检验表明，3个时间区域组内均存在截面型及随机型时间俱乐部趋同，而且，这一结论是相当稳健的。

We introduce the uniform Hausdorff metric H on the space 〓 offuzzy complex numbers and investigate the topological structure of 〓.We show the completeness of 〓 and study on 〓 limits of thesequence of fuzzy complex numbers,metrical and leverwise convergence,and relation between metrical convergence and leverwise convergence.Weprove the equivalence theorem of metrical convergence and leverwiseconvergence on 〓.

在模糊复数空间〓上引进一致Hausdorff度量H，讨论了模糊复数空间的拓扑结构，证明了的完备性，并在完备的模糊复数度量空间上研究了模糊复数列的极限、度量收敛和水平收敛，讨论了度量收敛与水平收敛之间的关系，在上证明了度量收敛与水平收敛的等价性定理。

Also, this dissertation established a sufficient condition for ILC convergence of a class of uncertain nonlinear time varying systems with a discussion on the convergence speed. Furthermore, for a class of linear systems, frequency-domain convergence analysis has been provided for a closed-loop type ILC algorithm with a convergence speed comparison with the conventional Arimoto-type open-loop ILC algorithm.

同时还给出了存在不确定及干扰非线性时变系统迭代学习控制收敛的充分条件，并对闭环迭代学习控制收敛条件和收敛速度进行了频域分析和讨论。

They didn't possess strong convergence and quadratic convergence rate,more-over,their convergence properties and rate of convergence were only local.

无强收敛性和二次收敛率，甚至收敛性与收敛速度只是局部的。

Then, the convergence and convergence rate of three kinds of GA above are analyzed comprehensively from the point of view of stochastic matrix and matrix eigenvalue. The general convergence analysis methods of GA by Markov chains are presented and the convergence rates are discussed emphatically.

然后，利用有限Markov链从随机矩阵和矩阵特征值两个角度全面分析了上述三种类型GA的收敛性和收敛速度，给出了利用Markov链分析GA收敛性的通用方法，重点讨论了它们的收敛速度问题。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。