On quasi-solution to infeasible linear complementarity problem obtained by Lemke’s method

For a linear complementarity problem with inconsistent system of constraints a notion of quasi-solution of Tschebyshev type is introduced. It’s shown that this solution can be obtained automatically by Lemke’s method if the constraint matrix of the original problem is copositive plus or belongs to the intersection of matrix classes P ₀ and Q ₀.     

Block transitive Steiner systems with more than one point orbit

For all ‘reasonable’ finite t, k, and s, we construct a t‐(?₀, k, 1) design and a group of automorphisms which is transitive on blocks and has s orbits on points. In particular, there is a 2‐(?0, 4, 1) design with a block‐transitive group of automorphisms having two point orbits. This answers a question of P. J. Cameron and C. E. Praeger. The construction is presented in a purely combinatorial way, but is a by‐product of a new way of looking at a model‐theoretic construction of E. Hrushovski. © 2004 Wiley Periodicals, Inc.     

凸度量空间中单值和集值映象的公共不动点定理

§ 1.　Introduction　　Anecessaryandsufficientconditionandasufficientconditiontoensurethataset valuedmappingandasingle valuedmappinginacompletemetricspaceandacompleteconvexmetricspacehavingacommonfixedpointarerespectivelygivenin [1 ] .Meanwhilethemainresultsin[2 ]— [5]areimprovedandextendedin [1 ] .Inthispaper ,theexistenceatcommonfixedpointsoftwoset valuedmappingandasing valuedmappingwerestudied ,andthecorrespond ingresultsin [1 ]— [5]wereextendedandimproved .Let(X ,d)beanon emptymetricspa…     

论图书馆馆舍建设

文章结合具体工作实践 ,论述了现代图书馆馆舍建设的基本原则。     

一种适合于B/S和C/S应用的经济型实体鉴别公钥密码器

针对我国电子政务发展的需求,提出一种适合于B/S和C/S应用的经济型实体鉴别公钥密码器方案,研究出相关密码算法,并论证了其安全性.与采用现有公钥密码算法的密码器相比,这种密码器能有效降低对硬件运算能力的需求,从而降低造价,若在居民身份卡系统等社会信任服务系统中推广,可为国家节省大量资金.     

用Intranet构架图书馆网络及示例

提出了图书馆内部网络的设计与实现技术，并以具体的设计实例介绍了该网络系统的构造、功能及设计特点，并总结出了网络建设方面的一些经验。     

数学试题库管理系统的设计--用VB与Word2000Automation技术

文章详细介绍了数学试题库管理系统的模型设计及VBA与word2000Automation技术在其中的应用情况．此试题库管理系统具有系统管理的开放性、学科扩展的通用性、抽题方式的灵活性及排版打印的实用性等特点．     

中国加入WTO对图书馆的影响与对策

分析了中国加入世界贸易组织(VETO)后会给图书馆带来的冲击和影响。指出入世后我国图书馆界挑战与机遇并存，并提出入世后图书馆应采取的应对措施。     

Bodies of constant width in arbitrary dimension

We give a number of characterizations of bodies of constant width in arbitrary dimension. As an application, we describe a way to construct a body of constant width in dimension n, one of its (n – 1)‐dimensional projection being given. We give a number of examples, like a four‐dimensional body of constant width whose 3D‐projection is the classical Meissner's body. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Lefschetz–Verdier Trace Formula and a Generalization of a Theorem of Fujiwara

The goal of this paper is to generalize a theorem of Fujiwara (Deligne’s conjecture) to the situation appearing in a joint work [KV] with David Kazhdan on the global Langlands correspondence over function fields. Moreover, our proof is more elementary than the original one and stays in the realm of ordinary algebraic geometry, that is, does not use rigid geometry. We also give a proof of the Lefschetz–Verdier trace formula and of the additivity of filtered trace maps, thus making the paper essentially self-contained. The work was supported by the Israel Science Foundation (Grant No. 555/04) Received: May 2005 Accepted: August 2005