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Norbert Wiener by Hans Joachim Ilgauds (auth.) PDF

By Hans Joachim Ilgauds (auth.)

ISBN-10: 3322005534

ISBN-13: 9783322005533

ISBN-10: 3322822176

ISBN-13: 9783322822178

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Extra resources for Norbert Wiener

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H'iellers ersle Schrift zur Brownschen Bewegung war" The mean of a functional of ar'bitrary elemenls" (Das Mittel cines Funktionals von willkiirlichen Elementen) (Ann. of l\lath. (2) 22 (1920), 66-72). Wiener edauterte in diesel' Arbeit, daB die 13rownsche Bewegung

Wiener, 1950). Wie Wiener dieses Extrapolationsproblem mathematisch behandeIte, solI nur angedeutct werden. Eingesetzt wurde die Theorie del' Zeitreihen in Verbindung mit Wahrscheinlichkeitsreclmung und harmonischer Analyse. Nun soll A irgendeine Funktion der zukiinftigen Werte von t sein, d. h. von Argumenten, die groBcr als 0 sind. , a", A) aus der Vergangenheit fast jedes einzelnen Zufallsprozesses bestimmen '" Wenn speziell die ab ••• , a" aile gegeben sind, konnen wir die Verteilung von A bestimmen.

Am meisten war 'Vicller abel' an del' Entwicklung \'on iVorman Levinson interessiel't. Levinson wurde von 'Viencr sehr gefiirJcl't, ahel' wisscnschaftlieh auch stark gefordert. \Viene/, sehl'ieh: Levinson hatte schon in sehr jungen Jahren Forsehung IiiI' mieh tJllrchgefiihrt lind sogar schon VOl' seiner Bakkalaureatsarbeit eine Arbeit von mil' iibernommen, die eine Erweiterung del' TheOIie del' Founersehen Reihen beueutete, lind sic bis zur iiuBersten Grenze vorangetricben. [1, S. 156] , end in seinem Nachruf auf Wiener bemerkte Levinson: leI!

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Norbert Wiener by Hans Joachim Ilgauds (auth.)


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