Analysis I, Edition: 2., verb. Aufl. by Prof. Dr. Christian Blatter (auth.)

By Prof. Dr. Christian Blatter (auth.)

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Extra resources for Analysis I, Edition: 2., verb. Aufl.

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Die Fakultät hat für n ~ 1 bekanntlich folgende kombinatorische Bedeutung: Es gibt genau n! verschiedene Anordnungen einer gegebenen n-elementigen (siehe Abschnitt 45) Menge A bzw. genau n! verschiedene bijektive Abbildungen {1,2,3, ... ,n}-+A. Mit Hilfe von Fakultäten bildet man weiter die sogenannten Binomialkoeffizienten (:). und zwar vermöge 34. = n! (n-k)! = n(n-1)(n-2)· ... ·(n-k+1) 1·2·3·····k (O~k~n). In der Kombinatorik wird gezeigt, daß eine n-elementige Menge A genau (~) verschiedene k-elementige Teilmengen besitzt.

Für die speziellen rationalen Zahlen p/1 =pElL stimmt die "neue" Ordnung offensichtlich mit der "alten" überein. - Die Verifikation der Axiome (OK 1) und (OK2) überlassen wir dem Leser. ~ Kapitel 4. Vervollständigung von

Die Verifikation der Axiome (OK 1) und (OK2) überlassen wir dem Leser. ~ Kapitel 4. Vervollständigung von

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