查询词典 almost bounded function

Bounded ; solutions ; Almost periodic sofutions ; Fixed point method

有界解；概周期解；不动点方法

Our study bases on following environment and conditions: H-1: The measurable set-valued mapping F : X - CC is e-bounded almost lower semicontinuos

这些研究是在如下环境和条件下进行的： H-1：X是n-维Banach空间(n＞1)中的有界闭凸集，且可测集值映射F：X→C_c是ε-有界几乎下半连续

For compact hypersurfaces and highcodimension compact submanifolds initial data respectively, we prove that the flow hasa smooth solution for all time under almost optimal conditions. Those conditions arethat the second fundamental form on the initial submanifolds is not too large, the exter-nal force field, with its any order derivatives, is bounded, and the field is convex with itseigenvalues satisfying a pinch inequality.

我们分别对紧超曲面初值和高余维紧子流形初值证明了当初始曲率比较小，并且外力场除了要各阶导数一致有界外，还要满足凸性条件以及特征值的一个pinch条件时，这种热流的光滑解长时间存在。

In chapter 3, we establish some partial differential inequalities on bounded starlike circlar domains and the unit ball of Banach norm in C〓. Then by using these inequalities, we can get two sufficient conditions for almost starlike mappings of order α.

第三章通过在C〓中的有界星形圆形域和复Banach范数之下的单位球上建立一些微分不等式，给出了α次的殆星映射的两个充分判别条件。

It is shown that the closed-loop system is globally uniformly ultimately bounded with respect to a compact set around the origin. This set can be made arbitrarily small by increasing the gradient of the saturation function.

其结果表明，闭环系统关于原点的一个紧集是整体一致最终有界的，并且该紧集可以由增加饱和函数的斜率而做得任意小。

This particular formula involves a special function,which is the uniformly bounded solution to a scalar Riemann-Hilbert problem,and which is asymptotically equal to the constant "1" except at the origin.

这个特殊的公式包含了一个特殊函数，这个特殊函数实际上是一个一维Riemann-Hilbert问题的一致有界的解，并且除了在原点，它的取值都渐近地等于常数"1"。

If the stochastic process {X,t∈R1} is transformed by a bounded Borel measurable function f, then we will obtain a new stochastic process which denotes by Y, namelyY=fX

如果该随机过程{X，t∈R1}被一有界Borel可测函数f变换，则得到新的随机过程，记为Y=fX

First we give the characterization of subsets on which every real-valued convex function bounded above is continuous on the space, and give the βperturbed optimization in Banach space by introducing new locally convex topology.

给出了广义实值凸函数在集合A上有上界则连续的一类子集的特征性刻画；并且通过引入新的局部凸拓扑的方法，给出任意Banach空间的β扰动优化。

First we give the characterization of subsets on which every real-valued convex function bounded above is continuous on the space, and give the fi-perturbed optimization in Banach space by introducing new locally convex topology.

给出了广义实值凸函数在集合A上有上界则连续的一类子集的特征性刻画；并且通过引入新的局部凸拓扑的方法，给出任意Banach空间的β扰动优化。

FR conjugate gradient methods with perturbations are proposed. The global convergence property of the first method is proved under the condition of main directions' sufficient descent. Whereas, in the proof of the convergence for the other two methods, we only need main directions' descent. Importantly and quite interesting, boundedness conditions such as objective function being bounded below, boundedness of level set are not needed. Chapter 5 presents a version of Dai-Yuan conjugate gradient method with perturbations.

在主方向充分下降的条件下证明了第一个方法的全局收敛性，而后两个方法的收敛性是在主方向下降的条件下证明的，这些收敛性证明的一个共同特征就是不需要目标函数有下界或水平集有界等有界性条件，第5章采用Wolfe或Armijo步长规则提出了带扰动项的Dai-Yuanabbr。

If I didn't care what anyone thought, I would.....

如果我不介意别人怎么看，我会。。。。

In recent decades, Chile has mandated earthquake-proofing for new structures, requiring that materials like rubber and features like counterweights be built into the architectural designs to allow buildings to bend and sway during temblors rather than break.

在最近数十年里，智利已经为兴建防震的新土建结构而对建筑材料提出要求，需要的材料类似于橡胶，而特性就象运用在建筑设计中的平衡物体，一旦应用以后，当地震发生时建筑就能弯曲摇摆。