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Benson p.op.r.efficiency for.vector.op.imization of gener.lized subconvexlike set-valued map. in or.er.d linear.sp.ces

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Jour.al of Shanghai university(English Edition) 2010年第5期14卷 374-379页

作者：周志昂 department of Mathematics College of SciencesShanghai University college of Mathematics and Statistics Chongqing University of Technology

Sever.l equivalent statements of gener.lized subconvexlike set-valued map.ar. established in or.er.d linear.sp.ces. Using vector.closur., we intr.duce Benson p.op.r.efficient solution of vector.op.imization p.oblem. Under.the assump.ion of gener.lized subconvexlikeness, scalar.zation, multip.ier.and saddle p.int theor.ms ar. obtained in the sense of Benson p.op.r.efficiency.

关键词： set-valued map. vector.closur. gener.lized subconvexlikeness Benson p.op.r.efficient solution

Up.Embeddability of Gr.p.s with New Degr.e-Sum of Indep.ndent Ver.ices

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Jour.al of Mathematical r.sear.h with Ap.lications 2012年第4期32卷 399-406页

作者： Shengxiang L1, , Yanp.i LIU 2.1. department of Mathematics, Hunan university of Science and Technology, Hunan 4112.1,{2. 2. department of Mathematics, Beijing Jiaotong university, Beijing 100044,{2.. department of Mathematics Hunan University of Science and Technology Hunan 411201 department of Mathematics Beijing Jiaotong University Beijing 100044

Let G be a k(k ≤3)-edge connected simp.e gr.p. with minimal degr.e ≥ 3,gir.h g,r.*** any indep.ndent set {a1,a2., . . . , a 6/(4 k)} of G,if,then G is up.embeddable.

关键词： up.embeddability maximum genus indep.ndent set

Toep.itz Op.r.tor. on Dir.chlet Sp.ces

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Acta Mathematica Sinica,English Ser.es 2001年第4期17卷 643-648页

作者： Yu Feng LU Shun Hua SUN department of Ap.lied Mathematics, Dalian university of Technology, Dalian 11602.,{2. department of Mathematics, Sichuan university, Chengdu 610064,{2. department of Mathematics, Sichuan university, Chengdu 610064,{2. department of Ap.lied Mathematics Dalian University of Technology Dalian 116024 P. R. China department of Mathematics Sichuan University Chengdu 610064 P. R. China

In this p.p.r.we study Toep.itz op.r.tor. on Dir.chlet sp.ces and descr.be the boundedness and comp.ctness of Toep.itz op.r.tor. on Dir.chlet sp.ces. Meanwhile, we give density theor.ms for.Toep.itz op.r.tor. on Dir.c... 详细信息

关键词： Dir.chlet sp.ce Toep.itz op.r.tor Comp.ct op.r.tor Str.ng op.r.tor.top.logy

EFFECTS OF STOICHIOMETr.C r.TIO ON STr.CTUr. AND ELECTr.DE p.r.Or.ANCE OF HYDr.GEN STOr.GE ALLOYS

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中国有色金属学会会刊：英文版 1998年第3期8卷 72-76页

作者： Chen Weixiang department of Mater.als Science and Engineer.ng, Zhejiang university, Hangzhou 31002.,{2. department of Mater.als Science and Engineer.ng Zhejiang University Hangzhou 310027 China

１ＩＮＴＲＯＤＵＣＴＩＯＮＮｉｃｋｅｌｍｅｔａｌｈｙｄｒｉｄｅ（Ｎｉ／ＭＨ）ｂａｔｅｒｉｅｓｅｍｐｌｏｙｉｎｇａｈｙｄｒｏｇｅｎｓｔｏｒａｇｅａｌｏｙａｓｔｈｅｎｅｇａｔｉｖｅｍａｔｅｒｉａｌｈａｖｅａｔｒａｃｔ... 详细信息

１ＩＮＴＲＯＤＵＣＴＩＯＮＮｉｃｋｅｌｍｅｔａｌｈｙｄｒｉｄｅ（Ｎｉ／ＭＨ）ｂａｔｅｒｉｅｓｅｍｐｌｏｙｉｎｇａｈｙｄｒｏｇｅｎｓｔｏｒａｇｅａｌｏｙａｓｔｈｅｎｅｇａｔｉｖｅｍａｔｅｒｉａｌｈａｖｅａｔｒａｃｔｅｄｍｕｃｈａｔｅｎｔｉｏｎｂｅ?..

关键词： hydr.gen stor.ge alloy stoichiometr.c r.tio str.ctur. ther.odynamic p.op.r.y

On the Duality Map.ing Sets in Or.icz Sequence Sp.ces

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Acta Mathematica Sinica,English Ser.es 2001年第4期17卷 595-602页

作者： Bao Xiang WANG department of Mathematics, Hebei university, Baoding 071002.{2. department of Mathematics Hebei University Baoding 071002 P. R. China

The cr.ter.a for.the weak comp.ctness of duality map.ing sets J(x)={f∈X~*:〈f,x〉= ‖f‖~2.‖x‖~2.in Or.icz sequence sp.ces endowed either.with the Luxembur. nor. or.with the Or.icz nor. ar. obtaned.

关键词： Or.icz sequence sp.ces Duality map.ing Weak comp.ctness

r.Cl_3·3H_2. Mediated Olefin Isomer.zations in Ionic Liquids: A Highly r.cyclable System for.Olefin Isomer.zations

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Chemical r.sear.h in Chinese Univer.ities 2012年第1期28卷 67-69页

作者： SHAO Ming-bo1, LIU Gui-yan2. ZHAO Jing-jing1, WANG Xiao-yu1 and WANG Jian-hui1 1. department of Chemistr., college of Science, Tianjin {2., Tianjin 300072. p. r. china 2. Tianjin Key Labor.tor. of Str.ctur. and p.r.or.ance for.Functional Molecule, college of Chemistr., Tianjin Nor.al {2., Tianjin 300387, p. r. china department of Chemistr. College of Science Tianjin University Tianjin 300072 college of Chemistr. Tianjin Normal University Tianjin Key Laboratory of Structure and Performance for Functional Molecule Tianjin 300387

Her.in lies a convenient and highly efficient method of olefin isomer.zation in the p.esence of r.Cl3？3H2. in ionic liquid（IL）. Mor. imp.r.antly, r.Cl3？3H2. is a r.bust and r.cyclable catalyst. Nine cycles of r.Cl... 详细信息

关键词： r.thenium tr.chlor.de Ionic liquid Olefin isomer.zation

On the Limit Cycles of Quadr.tic Differ.ntial Systems

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Acta Mathematica Sinica,English Ser.es 2002年第4期18卷 803-816页

作者： Xiang ZHANG department of Mathematics, Shanghai Jiaotong university, Shanghai 2.0030,{2. department of Mathematics Shanghai Jiaotong University Shanghai 200030 P. R. China

In this p.p.r.we give the necessar. and sufficient conditions for.all finite cr.tical p.ints of quadr.tic differ.ntial systems to be weak foci, and solve an op.n p.oblem p.op.sed by Yanqian Ye.

关键词： Quadr.tic differ.ntial system Limit cycle Er.odicity.

Multip.ier. on Dir.chlet Typ. Sp.ces

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Acta Mathematica Sinica,English Ser.es 2001年第2期17卷 263-272页

作者： p.ng Yan HU department of Mathematics. Nor.al college of Shenzhen {2.. Shenzhen. Guangdong 518060. p. r. china Ji Huai SHI department of Mathematics. {2. of Science and Technology of china. Hefei. Anhui 2.002., p. r. china department of Mathematics Normal College of Shenzhen University Shenzhen Guangdong 518060 P. R. China department of Mathematics University of Science and Technology of China Hefei Anhui 230026 P. R. China

In this p.p.r. we char.cter.ze the p.intwise multip.ier.sp.ce M(D_τ, D_μ) of Dir.chlet typ. sp.ces in the unit ball of C^n for.the values of τ, μ in thr.e cases: (i)τn. and constr.ct two functions to show that M... 详细信息

关键词： Dir.chlet sp.ce p.intwise multip.ier Holomor.0}ic function

Nash Inequalities for.Gener.l Symmetr.c For.s

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Acta Mathematica Sinica,English Ser.es 1999年第3期15卷 353-370页

作者： Mufa Chen department of Mathematics, Beijing Nor.al university, Beijing 100875,{2. department of Mathematics Beijing Normal University Beijing P. R. China

This p.p.r.deals with the Nash inequalities and the r.lated ones for.gener.l symmetr.c for.s which can be ver. much unbounded. Some sufficient conditions in ter.s of the isop.r.metr.c inequalities and some necessar. conditions for.the inequalities ar. p.esented. The r.sulting conditions can be shar.0}qualitatively as illustr.ted by some examp.es. It tur.s out that for.a p.obability measur., the Nash inequalities ar. much str.nger.than the p.incar. and the logar.thmic Sobolev inequalities in the p.esent context.

关键词： Nash inequality Symmetr.c for. Isop.r.metr.c Inequality Jump.p.ocess