LEADER 02931nam 2200457 450 001 9910788276103321 005 20240108184454.0 035 $a(CKB)2670000000619716 035 $a(EBL)2064052 035 $a(MiAaPQ)EBC2064052 035 $a(Au-PeEL)EBL2064052 035 $a(CaONFJC)MIL791807 035 $a(OCoLC)910816310 035 $a(EXLCZ)992670000000619716 100 $a20220518d2012 uy 0 101 0 $ager 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEndloskurz /$fDan Ponicke 210 1$aNordhausen :$cTraugott Bautz,$d[2012] 210 4$d©2012 215 $a1 online resource (84 pages) 300 $aDescription based upon print version of record. 327 $aCover; Titelei; Impressum; Kurz und Endlos; Zum Autor:; Inhalt; Vorort; Blut'ge Moderne; Bru?cke ""Literatur""; Drama; Tropfen voller Lyrik; Darstellung; U?ber mich; Langeweile; U?ber das Leben; Armut; Badewanneninhalt; Pornographie; Zer-Splittert; Himmelfahrt; Trips & Literatur; Abends; Geschwind; Politisches Gedicht; Performance; Ma?rchen vom Studenten; Das Meer und Ich; Duschen; Feindbild; Folgen; Im Namen der Herde; 3. Weltkrieg; Schwere; Trauerspiel; Vater; Gelehrte Dankbarkeit; Revolution; Barfuß; Am Ende des Regenbogen; Herz und Verstand; Pusteblume; Normal; Wenn Sie schlafen 327 $aEinsamer MorgenSchneewittchen; Regenschirmhaus; Im Netz; Vertrauen; Ich oder Du; In den Sternen; Waschmaschine; Dysfunktionieren; Das Beste; Gut oder Bo?s; Abza?hlnamen; U?berwort; Gedacht; Spiellabend; Nichts; Schimmel; Verschenken; bedingungslos; Seins; Ka?fer; Lukimaus [fu?r einen Sohn]; @Herzblatt.com; Romantisch verwertet; Honigfu?ße; Liebesbriefe; Verliebt; Vermalt; Sand; Anti - Helden; Ich und ich; Lebensla?nglich; Unwetter; Analogie; Heimwege; Geschichten; Danke 330 $aDas Schicksal jedes einzelnen, ist die eine Hand am Ende der vielen seidenen Fa?den, die uns Menschen in Bewegung bringen oder uns verfu?hren etwas zu tun und sei es nur einmal nichts dergleichen auszuu?ben. Jede noch so kleine, fu?r das Auge unmerkliche Bewegung, ein Hauch von etwas, hat seinen Sinn, in dem etwas geschieht. So sind die Wege durch Schritte geebnet, auf denen wir Menschen das Laufen lernen, die unza?hligen Kreuzungen mit den Gefu?hlen des Abschieds oder Zugewinns passieren, sta?ndig dem Abendrot des Tages entgegenlaufen, um irgendwann in dieser Endlichkeit eine Leidenschaft zu finden. 606 $aQualitative research$xData processing 606 $aSocial sciences$xResearch 615 0$aQualitative research$xData processing. 615 0$aSocial sciences$xResearch. 676 $a300.72 700 $aPonicke$b Dan$01466754 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788276103321 996 $aEndloskurz$93677360 997 $aUNINA LEADER 04856nam 2200625Ia 450 001 9910792082703321 005 20230126204215.0 010 $a1-283-59365-3 010 $a9786613906106 010 $a981-4322-93-8 035 $a(CKB)2560000000093368 035 $a(EBL)1019625 035 $a(OCoLC)809977901 035 $a(SSID)ssj0000738949 035 $a(PQKBManifestationID)12278139 035 $a(PQKBTitleCode)TC0000738949 035 $a(PQKBWorkID)10673095 035 $a(PQKB)10628684 035 $a(MiAaPQ)EBC1019625 035 $a(WSP)00002773 035 $a(Au-PeEL)EBL1019625 035 $a(CaPaEBR)ebr10596913 035 $a(CaONFJC)MIL390610 035 $a(EXLCZ)992560000000093368 100 $a20120924d2012 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aQualitative computing$b[electronic resource] $ea computational journey into nonlinearity /$fFranc?oise Chatelin 210 $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2012 215 $a1 online resource (599 p.) 300 $aDescription based upon print version of record. 311 $a981-4322-92-X 320 $aIncludes bibliographical references and index. 327 $aPour mes enfants, petits et grands; Preface; Contents; 7. Homotopic Deviation in Linear Algebra; 1. Introduction to Qualitative Computing; 1.1 The art of computing before the 20th century; 1.1.1 Numeracy is not ubiquitous; 1.1.2 An irrational consequence of nonlinearity; 1.1.3 Zero: Thinking the unthinkable; 1.1.4 v1-: A complex consequence of nonlinearity; 1.1.5 Infinity: Decoding divergent series; 1.2 The unending evolution of logic due to complexification; 1.2.1 Classical analysis; 1.2.2 The creative role of zero; 1.2.3 The evolutive pressure of paradoxes on logic 327 $a1.2.4 Hypercomplex numbers of dimension 2k, k (1843 1912)1.3 The 20th century; 1.3.1 A paradigm shift; 1.3.2 Fixing the laws of logic a priori; 1.3.3 The eclipse of the art of computing; 1.3.4 The rise of numerical linear algebra; 1.3.5 Contemporary experimental sciences; 1.4 Back to the art of computing; 1.4.1 Hypercomputation in Dickson algebras; 1.4.2 Homotopic Deviation in associative linear algebra over C; 1.4.3 Understanding why and explaining how; 1.4.4 Qualitative Computing; 2. Hypercomputation in Dickson Algebras; 2.1 Associativity in algebra; 2.1.1 Groups, rings and fields 327 $a2.1.2 Real algebras 2.2 Dickson algebras over the real field; 2.2.1 The doubling process of Dickson (1912); 2.2.2 "Complexification" of Ak-1: Ak = Ak-11 Ak-1D7; , k 1; 2.2.3 The k basic generators for Ak, k 2265; 1; 2.2.4 Productive coupling of linear subspaces in Ak, k 2265; 4; 2.2.5 Other inductive multiplicative processes; 2.3 Properties of the multiplication; 2.3.1 The partition Ak = R1 2295; Ak, k 2265; 1; 2.3.2 The commutator for k 2265; 2; 2.3.3 The associator for k 2265; 3; 2.3.4 The four real division algebras; 2.3.5 The alternator for k 2265; 4; 2.3.6 The normalisatrix function for k 2265; 4 327 $a2.3.7 The subalgebra ?x generated by x 2208; A, x 02.4 Left and right multiplication maps; 2.4.1 Definition; 2.4.2 The real scalar product La, Lb F; 2.5 The partition Ak = C1 2295; Dk, k 2265; 2; 2.5.1 A characterization of C in Ak, k 2265; 4; 2.5.2 Algebraic computation in Dk, k 2265; 2; 2.5.3 The map La for a 2208; Dk; 2.5.4 The complex scalar product La,Lb F* for a 2208; Dk; 2.6 Alternative vectors in Ak for k 2265; 4; 2.6.1 Definition; 2.6.2 Colinearity of X and Y in Ak, k 2265; 4; 2.6.3 Characterization of alternativity for vectors inAk, k 2265; 4; 2.6.4 Alternative subspaces in Ak, k 2265; 4 327 $a2.9.4.3 The exponential of a product x D7; u in Ak, k 2265; 2 330 $aHigh technology industries are in desperate need for adequate tools to assess the validity of simulations produced by ever faster computers for perennial unstable problems. In order to meet these industrial expectations, applied mathematicians are facing a formidable challenge summarized by these words - nonlinearity and coupling. This book is unique as it proposes truly original solutions: (1) Using hypercomputation in quadratic algebras, as opposed to the traditional use of linear vector spaces in the 20th century; (2) complementing the classical linear logic by the complex logic which 606 $aSocial sciences$xData processing 606 $aQualitative research$xData processing 615 0$aSocial sciences$xData processing. 615 0$aQualitative research$xData processing. 676 $a511.8 700 $aChaitin-Chatelin$b Franc?oise$054166 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910792082703321 996 $aQualitative computing$93758384 997 $aUNINA