查询词典 locally bounded function

The converse does not hold, since any infinite set can be given the discrete metric under which it is bounded and yet not totally bounded.

但逆命题不成立，因为任何无限集合可以用离散度量给出，在其下它是有界但非完全有界的。

The tracking error is uniformly and ultimately bounded in the presence of initial error and bounded modeling error.

使得对于存在初始误差以及模型误差有界的情况跟踪误差一致终值有界。

One method to analyze bounded variable of this paper is "The Bounded Unit Root" which provided by Cavaliere (2005), and the other is using Gibbs sampling simulation and trying to recover the part of hidden variables. We would examin some empirical problems that has often been tackled in the literature and we give three time series which include Danish kron/Deutshe mark, Belgium Franc/ Deutshe mark, and Japan 1 mouth interbank interest rate for examples.

本文利用Cavaliere (2005)所提出的限制下单根检定与Gibbs sampling将潜在变数还原的方法，探讨当资料受到限制时的单根检定问题，并以丹麦克朗与比利时法郎兑德国马克的双边汇率以及日本同业间一个月期拆款利率为例，比较其与传统单根检定的结果有何异同。

We proved that this kind of operators were bounded from Hardy space to Lebesgue space, and they were bounded operators on the Hardy space if they satisfied some special conditions.

利用Hardy空间和Herz型Hardy空间的原子和分子分解特征，文中首先给出了此类算子从Hardy空间到Lebesgue空间上的有界性，而且，在满足一定的消失矩时，它又是Hardy空间上的有界算子。

Motivated by Baker\'s result, we introduce a functional index‖E‖_∞to prove that if a mapping f which is from a normed space to a normed algebra satisfying‖ab‖=‖a‖‖b‖satisfies that‖E‖_∞is bounded,then either f is bounded or f is exponential.

受到Baker的结论启发，通过引入一个泛函指标‖E‖∞，证明了从赋范空间到满足范数可乘性的赋范代数的映射f，只要满足‖E‖∞是有界的，则f要么是有界的，要么是指数的。

In the study of the Lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. Outside of a large disc, using the symplectic transformation of the Hamilton system to estimate the iteration of the successor map. Applying the Moser's small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded. We will estimate the successor map of the equation directly for proving the unboundedness of the bouncing solutions.

在碰撞运动的Lagrange稳定性的讨论中，给出了渐近线性方程碰撞解有界或无界的条件，在充分大的圆盘外，通过Hamilton系统的辛坐标变换的角度平均来估计后继映射的迭代，应用Moser小扭转定理得到不变曲线从而给出在一定条件下碰撞解有界的证明，碰撞解无界性的证明将采用直接估计后继映射的方法给出。

Since the set of the centres of these balls is finite, it has finite diameter, from which it follows that every totally bounded space is bounded.

因为这些球的中心的集合是有限的，它有有限半径，从而得出所有完全有界空间是有界的。

A sufficient condition is derived to ensure that the switched nonlinear systems are uniformly bounded and uniformly ultimate bounded.

给出了无激励非线性切换系统一致有界和一致最终有界的充分条件。

This article chiefly introduces some results about vector measure and gives an asymptotic martingale which is L1 bounded amart,not-bounded.

主要介绍向量测度中的一些结论，并给出一个渐近鞅是L_1有界渐近鞅而不是有界的。

Taking household\'s land use preference as classification rule, household agent types were divided though classification tree. Different choosing process of current production strategies and theirs probabilities after expiration of GFGP chosen by various types of household agents\' were put forward by experience-weighted attraction model based on bounded -rational approach. Finally, forecasting the results of households\' recultivation behaviour after the expiration of GFGP by scenario analysis method. The results show that relative policies are useful to rectify deviation of households\' bounded-rational behaviours and reinforce outcomes of GFGP.

以农户家庭户主的土地利用选择偏好作为分类依据，采用分类树方法对农户智能体类型进行划分；基于有限理性决策理论，引用经历—权重吸引模型，对农户智能体的目前生产策略决策过程和退耕还林政策期满后农户对不同生产策略的选择概率进行了分析；最后，在ERDAS环境下对退耕还林政策期满后农户的复垦行为进行了情景分析，认为政府制定并实施的相关政策措施对于纠正农户的有限理性行为偏差，维持和巩固退耕还林政策成果具有重要作用。

You think you're a big shot.

你认为你是一个大人物？

All states are equal, and none can receive special treatment from the federal government.

所有的州都是平等的，任何州都不能获得联邦政府的特别待遇。