Ivan Shishkin, Rye (1878)

Problems/Real analysisExerciseUnreviewed

Une équation sur la partie entière 11

by Sequoia·
25
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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Soit xx un réel. Montrer que 2⌊x⌋−⌊2x⌋2\lfloor x\rfloor - \lfloor 2x\rfloor est un entier qui vaut soit 00 soit 11. Pour quelles valeurs de xx vaut-il 00 ?

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