03968nam 2200781 450 991046446530332120200903223051.03-11-036162-03-11-039108-210.1515/9783110361629(CKB)3360000000515254(EBL)1759926(SSID)ssj0001401679(PQKBManifestationID)11890656(PQKBTitleCode)TC0001401679(PQKBWorkID)11357007(PQKB)11679146(MiAaPQ)EBC1759926(DE-B1597)426521(OCoLC)1023977505(OCoLC)1029814141(OCoLC)1032688691(OCoLC)1037980950(OCoLC)1041999464(OCoLC)1043662472(OCoLC)979589493(OCoLC)987942471(OCoLC)992472044(DE-B1597)9783110361629(Au-PeEL)EBL1759926(CaPaEBR)ebr11014086(CaONFJC)MIL807204(OCoLC)898769727(EXLCZ)99336000000051525420150211h20142014 uy 0engurcnu||||||||txtccrConvex analysis and optimization in Hadamard spaces /Miroslav BačákBerlin, [Germany] ;Boston, [Massachusetts] :Walter de Gruyter GmbH,2014.©20141 online resource (194 p.)De Gruyter Series in Nonlinear Analysis and Applications,0941-813x ;Volume 22Description based upon print version of record.3-11-036103-5 Includes bibliographical references and index.Front matter --Preface --Contents --1 Geometry of Nonpositive Curvature --2 Convex sets and convex functions --3 Weak convergence in Hadamard spaces --4 Nonexpansive mappings --5 Gradient flow of a convex functional --6 Convex optimization algorithms --7 Probabilistic tools in Hadamard spaces --8 Tree space and its applications --References --Index --Back matterIn the past two decades, convex analysis and optimization have been developed in Hadamard spaces. This book represents a first attempt to give a systematic account on the subject. Hadamard spaces are complete geodesic spaces of nonpositive curvature. They include Hilbert spaces, Hadamard manifolds, Euclidean buildings and many other important spaces. While the role of Hadamard spaces in geometry and geometric group theory has been studied for a long time, first analytical results appeared as late as in the 1990's. Remarkably, it turns out that Hadamard spaces are appropriate for the theory of convex sets and convex functions outside of linear spaces. Since convexity underpins a large number of results in the geometry of Hadamard spaces, we believe that its systematic study is of substantial interest. Optimization methods then address various computational issues and provide us with approximation algorithms which may be useful in sciences and engineering. We present a detailed description of such an application to computational phylogenetics. The book is primarily aimed at both graduate students and researchers in analysis and optimization, but it is accessible to advanced undergraduate students as well.De Gruyter series in nonlinear analysis and applications ;Volume 22.Metric spacesG-spacesHadamard matricesElectronic books.Metric spaces.G-spaces.Hadamard matrices.511/.6SK 870rvkBacák Miroslav1044201MiAaPQMiAaPQMiAaPQBOOK9910464465303321Convex analysis and optimization in Hadamard spaces2469698UNINA03009oam 2200661I 450 991078129400332120230126204055.01-136-82565-71-283-04041-797866130404111-136-82566-50-203-83091-110.4324/9780203830918 (CKB)2550000000031630(EBL)801578(OCoLC)710993123(SSID)ssj0000529450(PQKBManifestationID)12167452(PQKBTitleCode)TC0000529450(PQKBWorkID)10551475(PQKB)11560337(MiAaPQ)EBC801578(Au-PeEL)EBL801578(CaPaEBR)ebr10452496(CaONFJC)MIL304041(EXLCZ)99255000000003163020180706d2011 uy 0engur|n|---|||||txtccrLanguage and learning in the digital age /James Paul Gee and Elisabeth Hayes1st ed.Milton Park, Abingdon ;New York :Routledge,2011.1 online resource (167 p.)Description based upon print version of record.0-415-60277-7 0-415-60276-9 Includes bibliographical references and index.Front Cover; Language andLearning in theDigital Age; Copyright Page; Contents; 1. Introduction; 2. Language; 3. Literacy; 4. Language and interaction; 5. New kinds of people and relationships; 6. Literacy and interpretation; 7. School; 8. School and passionate affinity spaces; 9. Play and theory crafting; 10. Cats, passion, and expertise; 11. The return of the amateur and the new capitalism; 12. Words, images, and experiences; 13. Three social formations; 14. Multitasking, diversity, and commonality; References; IndexIn Language and Learning in the Digital Age, linguist James Paul Gee and educator Elisabeth Hayes deal with the forces unleashed by today's digital media, forces that are transforming language and learning for good and ill.They argue that the role of oral language is almost always entirely misunderstood in debates about digital media. Like the earlier inventions of writing and print, digital media actually power up or enhance the powers of oral language.Gee and Hayes deal, as well, with current digital transformations of language and literacy in the contLanguage and languagesStudy and teachingDigital mediaSocial mediaLanguage and languagesStudy and teaching.Digital media.Social media.418.0078/5Gee James Paul.451797Hayes Elisabeth1491399MiAaPQMiAaPQMiAaPQBOOK9910781294003321Language and learning in the digital age3713203UNINA