查询词典 metrically convex subset

In chapter 4 , with S-KKM mapping , a new Ky Fan\'s minimax inequality is proved , the locally convex H-space with uniform structure is introduced , s-HKKM mapping is defined as the generalization of KKM mapping, with the H-convexity of Hausdorff locally convex H-space , a new fixed point theorem for the compact andclosed mapping belonging to the class s-HKKM is established ;with local intersection property of muti-function ,K-H-quasi-convexity of mapping , connectedness of set and condensing correspondences, some new vector quasi-variational inequalities are established , respectively .

第四章利用S-KKM映射，建立了新的Ky Fan极小极大不等式；定义了带有一致结构的局部凸H-空间，利用Hausdorff局部凸H-空间的H-凸性，对于属于s-HKKM中紧的闭映射建立了新的不动点定理，利用对应的局部交性质、映射的K-拟-凸性、集合的连通性以及φ-condensing对应分别建立了相应的拟向量变分不等式。

With the help of the variable separation transformation and the Laplace-equation, the distribution of the electric field inside a parallel-plate capacitor with a convex of a semi-round-post scar or a convex of semi-ball scar is investigated.

利用分离变数法和势的拉普拉斯方程分别讨论带有半圆柱形凸出疤和半球形凸出疤两种缺陷的平行板电容器内电场分布；通过对疤上电量的计算，从电荷分布的微观解释出发，得出一些有益的结论。

To compute the convex hull of a planar point set, first to find the extreme points of the planar point set and get the sub collections of points candidate for vertices of the convex hull between them.

新算法达到目前平面点集凸包问题的渐进最好算法的时间复杂度O，其中，n为平面点集的点数，h为平面点集凸包的顶点数。

A new algorithm of computing convex hulls of plane point sets is presented,based on the research on a large amount of algorithms of computing the convex hulls of plane point sets.

在研究了大量的求平面点集凸包的算法基础上，提出了一种新的构造平面点集的凸壳算法。

Secondly, the visibility of interference fringes is increased by raising reflectivity of uppersurface of glass plate and convex of plane convex lens.

垂直入射平行光I经多次反射和折射后，形成光束Ⅲ和Ⅵ，二者迭加而产生干涉，即所谓透射光的干涉。

The local heat transfer coefficients on the concace, convex and plane wall of a duct have a mild difference, with the heat transfer coefficent of concave surface being the largest and that of the convex surface the lowerest.

同一通道中凸、凹表面的局部换热系数有一定程度的差别。凸面的换热优于平面，后者又大于凹面。

As far as I know there are three kinds fo such tests commonly exist - the Dall Null test which uses a single plano-convex lens, an auto-collimating test uses a flat as big as the mirror under test and Offner test using two plano convex lens.

据我所知现时一般存有3种此类测试，其一是达耳零位测试采用单一只平凸透镜，再有是自准直测试采用一块平镜大小一如被测试的反射镜，及 Offner 测试采用2只平凸透镜。

This article introduced the first human understanding of the nature of the process and the status of knowledge of the universe, from the philosophical point of convex - concave symmetry of the difficulties faced by humanity, then use the concept of convex - concave symmetry to solve some knotty problems, from a philosophical point of the final for science to lay a good foundation.

本文先介绍了人类对自然界的认识过程和对宇宙现状的认识程度，再从凹凸对称的哲学角度探讨人类所面临的困难，然后用凹凸对称的观念来解决某些疑难问题，最后从哲学的角度为科学打下一个良好的基础。

We introduce convex,and in particular semidefinite,optimization methods,duality and complexity theory to shed new light to this relation for the single stock problem, given moments of the prices of the underlying assets,we show that we can find best possible bounds on option prices with general payoff funcations efficiently,either algorithmically(solving a semidefinite optimization problem)or in closed form, conversely,given observable option prices,we provide best possible bounds on moments of the prices of the underlying assets,as well as on the prices of the other options on the same asset by sovling linear optimization problems for options that are affected by multiple stocks either directly(the payoff of the option depends on multiple stocks)or indirectly(we have information on correlations between stock prices),we find on-optimal bounds using convex optimization methods,however,we show that it is NP-hard to find best possible bounds in multiple dimensions,we extend our results to incorporate transactions costs,this paper,in theory and practice can provide a reference to researchers and designers about Chinese financial derivative products,the full text is divided into six chapters as follows: ChapterⅠ:Papers on the background and significance of the subjects on a number of option pricing models as well as their advantages and shortcomings of the model and describes the status of research and writing papers and the main contents of the basic idea.

相应地，给定期权价格，也能够出标的资产瞬时价格的最有可能的最好的界。还有通过解决一个线性最优化问题，根据同一标的资产的其他期权的价格来找到这个期权的界值，对于期权受到多种股票价格直接影响(期权的收益依赖于多种股票)或者间接影响(我们有股票之间联系的有用信息)，如果使用凸规划方法我们就会发现没有最优的界，也能够证明对于多维情形确实是很难找到最优的最有可能的界值，最后将这一结论推广到考虑交易成本的情况。本文在理论和实践上给我国金融衍生产品研究者和设计者提供一定的参考。全文共分为六章，具体安排如下：第一章：阐述论文的选题背景和意义，介绍期权定价的一些模型以及这些模型的优点与缺点，并介绍国内外研究的现状以及论文的写作基本思路与主要内容。

Chapter 4 -rotundity and nearly strict convexity of quotient spaces. It is proved that ifis a -rotund or nearly strict convex Banach space andis a closed and proximinal subspace of, then the quotient spaceis also -rotund or nearly strict convex.

第四章 商空间的-严格凸性和近严格凸性：本章证明了若是Banach空间的任意可逼近子空间，则商空间对原空间的-严格凸性和近严格凸性都具有遗传性。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48