查询词典 uniformly convex

Systems of inqualities,the minimum or maximum of a convex function over a convex set,Lagrange multipliers,and minimax theorems are among the topic treated,as well as basic results about the structure of convex sets and continuity and differentiability of convex functions and saddle-functions.

其中对不等式系统、凸集上的凸函数的极小或极大、拉格朗日乘子和极小极大定理做了专题论述，同时对凸集的结构和连续性以及凸函数的可微性和鞍点函数的基本结果做了介绍。

When the edges of a convex polygon are traversed along one direction, the interior of the convex polygon is always on the same side of these edges, a new algorithm for computing the convex hull of a simple polygon is proposed first, which is then extended to a new algorithm for computing the convex hull of a planar point set.

本文依据凸多边形的这一特性，提出求解简单多边形凸包的新算法，进而扩展得到求解平面点集凸包的新算法。新点集凸包算法先找到点集的极值点，得到极值点间的候选点子集，再求得相邻极值点间的有序凸包点列，最后顺序连接极值点间的有序凸包点列，得到凸包。

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。

In chapter 5, we investigate uniformly starlike and uniformly convex mappings on the unit ball in C〓, give a criterion for the latter, and obtain some results which are similar to Harnack inequalities. Hence the contents of these two mappings are richened a little.

第五章主要研究多复变数的一致星形映射和一致凸映射，给出一致凸映射的一个判别准则，并且得到关于这两个映射的类似于Harnack不等式的结果，从而使得有关这两类映射的研究内容更加丰富。

This thesis deals with some classes of holomorphic mappings in several complex variables, such as almost starlike mappings of order α, starlike mappings of order α, strongly starlike mappings of order α, spirallike mappings of type β, uniformly starlike mappings, uniformly convex mappings and three other mappings: almost spirallike mappings of type β and order α, spirallike mappings of type β and order α and strongly spirallike mappings of type β and order α, which are defined by us in this essay.

本文主要针对多复变数的几类全纯映射族进行研究，其中包含α次的殆星映射，α次的星形映射，α次的强星形映射，β型螺形映射，一致星形映射和一致凸映射等，另外，还有几类我们自己定义的映射类：α次的殆β型螺形映射，α次的β型螺形映射和α次的强β型螺形映射等。

Let X be a reflexive Banach space with both X and X locally uniformly convex. D is a bounded, open, convex subset of X. T∶D→X is a pseudo-monotone operator; C∶D→X is a compact or strongly continuous operator.

何震设X是自反Banach空间且X和X均为局部一致凸空间，D是X的开、有界、凸子集， T∶D→X是伪单调算子(pseudo-monotone)， C∶D→X是紧算子或全连续算子。

Xu and Noor had proved the theorem on convergence of three-step iterations for asymptotically nonexpansive mapping on nonempty closed, bounded, and convex subset of uniformly convex Banach space.

王娴 ，何震Xu和Norr已经证明了建立在一致凸Banach空间的一个非空有界闭凸子集上的渐进非扩张映射的三步迭代的收敛定理问题。

In 1936, J.Clarkson first introduced the concept of uniformly convex Banach spaces ,initiated from geometric structure of the unit sphere of Banach spaces to research the properties of Banach spaces, began to research convex theory of Banach spaces. The same year, J.

Clarkson首先引入了一致凸Banach空间的概念，开创了从Banach空间单位球的几何结构出发来研究Banach空间性质的方法，开始了Banach空间凸性理论的研究。

Convex body; star body; polar body; inequality; extremum; i—th width integral of convex body; mixed width-integral of convex bodies; mixed chord-integrals of star bodies; affine surface area; mixed affine surface area; mixed projection body; mixed body; L_p-projection body; L_p-centroid body

基础科学，数学，几何、拓扑凸体；星体；极体；不等式；极值；凸体i-次宽度积分；凸体混合宽度积分；星体混合弦长积分；仿射表面积；混合仿射表面积；混合投影体；混合体； L_p-投影体； L_p-质心体

This article outlines the progress of ancient Chinese lenses from the Pre-Qin Period to the Five Dynasties, and discusses mainly two arguments: First, the"yangsui" recorded and narrated in Lun Heng by Wang Chong of Eastern Han Dynasty may be a plano-convex glass lens; secondly, the"four mirrors" recorded and narrated in Tanzi Hua Shu by Tan Qiao of Southern Tang Dynasty may be a plano-convex lens, a biconvex lens, a transparent planeparallel plate and a concave-convex lens respectively, but what kind of tra...

本文概述了中国古代透镜从先秦到五代的发展进程，着重从古代文献和出土文物的研究出发，结合中国古代社会经济发展水平，论证了东汉王充《论衡》中记述的阳燧可能是玻璃平凸透镜；论证了南唐谭峭的《谭子化书》中记述的"四镜"可能是平凸透镜、双凸透镜、平光镜和凹凸透镜。作者认为《谭子化书》"四镜"段可能实际上是对中国古代透镜发展的阶段性总结。

I will not give up and will not call you any more at the same time.

我不会放弃，同时我也不会在给你打电话了。

China is an uneven distribution of resources cross country.

摘要我国是一个资源分布不平横的国家。