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Mathématiques TSI1

0.22MB. 0 audio & 146 images. Updated 2018-10-12.

Description

Quelques définitions et propositions à connaître par coeur (liste non echaustive).

Sample (from 76 notes)

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Front Pour [$]q \neq 1[/$], que vaut cette somme?[$$]\displaystyle{\sum_{k=0}^n} q^k = 1+q+\cdots+q^n[/$$]
Back [$$]\dfrac{1-q^{n+1}}{1-q}[/$$]
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Front Soient A et B deux sous-ensembles d'un ensemble E.Donner la définition de [$]A \subset B[/$]
Back [$$]\forall x \in A, \; x \in B[/$$]ce qui s'écrit aussi:[$$]\forall x \in E, \; x \in A \Longrightarrow x \in B[/$$]
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Front Comment développer [$](a+b)^n[/$]?
Back [$$](a+b)^n = \displaystyle{\sum \limits_{0 \leq k \leq n}} {n \choose k} a^k b^{n-k} = {n \choose 0} a^0 b^{n-0} + {n \choose 1} a^1 b^{n-1} + \cdots + {n \choose n} a^n b^{n-n}[/$$]
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