Ivan Shishkin, Rye (1878)

Problems/Real analysisUnreviewed

Une chaîne de montagnes

by araucaria araucana·
35
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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Existe-t-il une fonction f∈C∞(R,R)f \in \mathcal{C}^{\infty}(\R, \R) dont l’ensemble des valeurs critiques est dense dans R\R ?
Un réel yy est une valeur critique de ff s’il existe x∈Rx \in \R tel que f(x)=yf(x) = y et f′(x)=0f'(x) = 0.

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