查询词典 uniformly continuous

For some special cases, the paper gives some important identical theorems, and then establishes a valuable relation between the uniformly almost periodic functions and the trigonometric polynomials.Secondly, on the basis of the identical theorem, the paper investigates the Fourier series of the uniformly B2 almost periodic functions, and further proves that the series is unique.Thirdly, the paper discusses the Parseval equation of the uniformly B2 almost periodic functions, which establishes the relation between these functions and the coefficients of their Fourier series; and next investigates an important approximation theorem-Riesc-Fischer theorem, about the uniformly B2 almost periodic functions and the trigonometric polynomials.

并给出了特殊情况下的几个重要的恒同定理，将一致概周期函数与有限三角多项式联系起来；第二，在恒同定理的基础上，给出了一致B~2概周期函数的Fourier级数，并且级数是唯一的；第三，讨论了一致B~2概周期函数的Parseval方程，建立了函数与其Fourier级数的系数之间的联系；接着给出了关于一致B~2概周期函数和三角多项式之间的一个重要近似定理—Riesc-Fischer定理。

On the applications of the uniformly Besicovitch almost periodic functions to differential equations, the main works are as follows:First, the paper proves that the space of the uniformly B2 almost periodic functions, with a special norm, is a Banach space, and then the Fixed Point Methods could be used in this function space.Second, since the space of the uniformly B2 almost periodic functions is per-fect, the paper investigates the existence and uniqueness of uniformly B2 almost periodic solution of a wave equation involving reflection of the argument by the principle of contraction mapping.

关于一致Besicovitch概周期函数在微分方程中的应用，本文主要做了以下工作：第一，证明了一致B~2概周期函数空间在其特定范数下构成Banach空间，从而可以在此函数空间上应用不动点定理；第二，由一致B~2概周期函数空间的完备性，应用压缩映像原理，讨论了一类满足一定初始条件的带反射变量的波方程一致B~2概周期解的存在唯一性。

For example, U-space is uniformly regular and which makes it has fixed point property, U-space is uniformly non-square and thus super-reflexive, uniformly convex space and uniformly smooth space are U-spaces, and an Banach space is an U-space iff its dual space is U-space, etc. In1990s, a lot of work had been done on U-space theory, e.g., Tingfu Wang and Donghai Ji introduced the concepts of pre U-property and nearly U-property. Under the structure of Orlicz space, they made systematic investigation of these properties, and gave the criteria for an Orlicz space to have U-property.

U-空间具有一致正规结构进而具有不动点性质；U-空间是一致非方的，进而也是超自反的；一致凸空间和一致光滑空间是U-空间；Banach 空间为U-空间的充要条件是其对偶空间为U-空间，等等。20世纪90年代，国内外学者对U-空间理论做了很多工作，王廷辅，计东海等人先后引入了准U-性质与似U-性质的概念，并在Orlicz空间框架下对有关性质进行了系统研究，完整给出了Orlicz空间具有各种U-性质的判据。

Among those; studies, Liu and Bek have obtained many important results for the theory and applications of Banach spaces and their geometry on complex number,(see [3],[41])Here, we have investigated the TP modulus of convexity and TP modulus of smoothness, on the one hand, we have defined a class of new spaces called uniformly TP convex ,on the other hand, we have extended martingale inequalities and the martingale spaces.This article is divided into four parts, in the first part, we define the TP modulus of convexity and TP modulus of smoothness of Banach space, and prove that the space which is characterized by uniform convexity is same as the space which is characterized by TP uniform convexity. Then we give TP q-uniformly convex and TP p-uniformly smoothable characterization of the Banach space. At the same time, we prove the famous renormed theorem.

本文分为四部分，第一部分在Banach空间上定义了一个新的TP凸性模和TP光滑模并证明了在Banach空间上它分别和一致凸性和一致光滑性刻划的空间是同构的，即如果Banach空间X是一致TP凸的充分必要条件是存在一个等价范数，使得在此范数下，它是一致凸的；Banach空间X是一致TP光滑的充分必要条件是存在一个等价范数，使得在此范数下，它是一致光滑的，我们还分别得出了判定一致TP凸和一致TP光滑的一些充分必要条件，同时还证明了箸名的重赋范定理。

At last the results have been applied to the tracking problem of a class of mechanical systems with discontinuous friction term. Chapter 3 mainly deals with uniformly ultimate boundedness of a class of nonautonomous systems with discontinuous right-hand sides and corresponding perturbed systems (in the sense of Filippov solutions). The definitions of globally uniformly strongly ultimate boundedness and globally uniformly weakly ultimate boundedness of discontinuous systems and the definition of globally equiuniformly strongly ultimate boundedness of corresponding perturbed systems are presented firstly.

首次给出不连续系统全局强一致最终有界、全局弱一致最终有界的定义，以及针对于扰动系统的全局强等度一致最终有界性的定义，并基于非光滑的Lyapunov函数得到了不连续系统全局一致强、弱最终有界的Lyapunov定理和扰动系统全局强等度一致最终有界性的Lyapunov定理。

Inspired by these results, in this paper, we first give the definition of a new mapping ? uniformly Lipschitz asymptotically nonexpansive mapping on a compact subset of a uniform convex Banach space, then construct three-step iterative sequences of uniformly Lipschitz asymptotically nonexpansive mapping in this subset . We proved the convergence of this three-step iterative sequences for uniformly Lipschitz asymptoticallynonexpansive mapping, Further more, we proved this three-step iterative sequences with an error member converge to fixed points.

从中得到启发，在本文我们首先定义了一致凸Banach空间某非空紧子集上的一种新的映射——一致李普希兹渐进非扩张映射，在该紧子集上构造关于一致李普希兹渐进非扩张映射的三步迭代序列以及具误差的三步迭代序列，先来讨论三步迭代序列的收敛性，进而讨论具误差的三步迭代序列的收敛性。

In this paper,δ-continuous and almost continuous Q\-1Q\-2-mapping are introduced, and continuous,δ-continuous, almost continuous are equivalence in the semiregular de Morgan topological algebra.

Q1Q2 -映射的连续性已在 [2 ]中讨论过，在本文中引进了 Q1Q2 -映射的δ-连续性，几乎连续性，并在半正则德摩根拓扑代数中证明了三种连续性的等价

The mount of germ and fungus quantity in soil are remarkably increased for the continuous cropping about 5 years, puts the trichobacteria quantity always change tendency to reduce;The edaphon total quantity, the bacterium quantity change reduces generally above the continuous cropping 5 years and below 5 years (including 5 years) the change are not obvious;In the nitrogen physiology group by ammoniates the bacterium primarily and the quantity changes are not very big;The nitrifying bacteria quantity is lower than the comparison (non- continuous cropping), the quantity of denitrifying bacteria is opposite;The alkalinity phosphatase, the urease, invertin activeness have a closed relations with the continuous cropping when it will increase less than 5 years or decrease in more than 5 years. The relation between catalase activeness and the continuous cropping is not very big. The reduction of the invertin activeness, the alkalinity phosphatase, urease activeness have slightly elevates, catalase activeness have no the regular changes.

表现为连作条件下土壤真菌数量显著增大，放线菌数量总的变化趋势降低；土壤微生物总量、细菌数量变化在连作5年以上普遍降低，5年以下(包括5年)则变化差异不明显；氮素生理群中以氨化细菌为主，但数量变化不大；硝化细菌数量低于对照组，反硝化细菌数量则相反：多酚氧化酶、转化酶活性在5年之前逐渐上升，5年之后逐渐下降，，脲酶活性随着连作年限增加持续上升，过氧化氢酶活性、碱性磷酸酶活性变化无规律。

It brings up the question, What is the source of Continuous Competitive Advantage in new situation, and how to construct Continuous Competitive AdvantageCase analysis part adopts the analysis method, which combines the determination of nature and quantity. Firstly, it analyses economic character, competition situation, future and attraction of mobile communication industry in Huazhou at present. Secondly, it analyses the importance of resource, competition ability and customer orientation with SWOT Method and Value Chain Method. Thirdly, with Continuous Competitive Advantage Theory and Creative Destruction Theory, it illustrates that defense cannot protect the original competitive advantage in the severity competition situation, and that the only source for Continuous Competitive Advantage is continuous creation and method of pursuing a scries of temporary dynamic advantage. This is the strategy choice of AAA. Finally, with Leak Analysis Method, Core Competence Analysis and thoughts of Dynamic Strategic Management, it educes the strategic implementation scheme and brings forward the strategic plan.

首先，分析了当时华州移动通信行业的经济特性、竞争态势、前景及吸引力；接着，运用SWOT、价值链等分析法分析了AAA的资源、竞争能力及客户导向的重要性；然后，运用持续竞争优势和创造性破坏理论，阐明在激烈竞争的新形势下，防御已不能保护原有的竞争优势，只有通过不断地创新，追求获得一系列暂时的动态优势的方法，才是构筑持续竞争优势的源泉，从而形成AAA的战略选择；最后，运用漏洞分析法和核心竞争力分析等，结合动态战略管理的理念，导出AAA的战略实施方案，提出了战略计划。

From [1], Every transition function is a positive strongly continuous semigroup of contractions on l\, but it isnt a strongly continuous semigroup on l_∞- In fact, the sufficient and necessary condition for a transition function to be a strongly continuous semigroup on l_∞ is that the q—matrix Q is an uniformly bounded q—matrix on l_∞- This is the trivial case.

由Anderson[1]知道转移函数P是l_1空间上正的强连续压缩半群，但P一般来说不是l_∞空间上的强连续半群，而P是l_∞上强连续半群的充要条件是q—矩阵Q是l_∞。

He got into race cars, while my father liked go-karts more, so I didn't really pay attention to what Diego was doing, as I was just racing karts.

叔叔开的是跑车，而我父亲更喜欢越野卡丁车，所以我并不太关注Diego在做什么，我仅仅在跑我的卡丁车而已。

She is at present gone to look for the best nectar and ambrosia to regale me this evening.

她今晚为款待我，现在又去准备美酒佳肴去了。