Exercises

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Flash questionsShort drills on core skills, as cards to project or print.See the series

1120 exercises

Assignment: the Josephus problem

Mathématiques – Arithmétique12 exercises

Short answerAdvanced

The case of powers of two

Open answerAdvanced

Writing n in the form 2^α + ℓ

Open answerAdvanced

The formula J(n) = 2ℓ + 1

J(n) read off the binary expansion

Short answerAdvanced

The Josephus problem two by two

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The three basis sequences A, B and C

Open answerAdvanced

The general solution as a linear combination

Open answerAdvanced

Recovering the formula of part III

Open answerAdvanced

Existence of the decomposition, without guessing A, B and C

Short answerAdvanced

The parameters of the identity function

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The system that yields A, B and C

Open answerAdvanced

The binary reading of the general solution

Le théorème de Rolle et les accroissements finis

Mathématiques – Analyse4 exercises

Dérivée nulle et extremum

Short answerAdvanced

Compter les racines de la dérivée

Bien utiliser les accroissements finis

Open answerAdvanced

Du théorème de Rolle au sens de variation

Bolzano-Weierstrass par dichotomie

Mathématiques – Analyse4 exercises

Manipuler les suites extraites

Short answerAdvanced

Combien de coupes ?

Ce que dit exactement le théorème

Open answerAdvanced

Rédiger la démonstration par dichotomie

Le théorème de Heine

Mathématiques – Analyse4 exercises

Repérer la continuité uniforme

Short answerAdvanced

Un delta explicite

Les hypothèses du théorème

Open answerAdvanced

Rédiger la démonstration par l'absurde