Ivan Shishkin, Rye (1878)

Problems/Mathematical formalismUnreviewed

Forme normale disjonctive/conjonctive

by La chouette aveugle·
51
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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Mettre les formules suivantes sous forme normale disjonctive/conjonctive (où toutes les lettres sont des variables propositionnelles) :

  • a∧(b∨(c∧(d∨e)))a \wedge (b \vee (c \wedge (d \vee e)) ),
  • (¬a→(b∧(¬c)))→(a∧b)(\neg a \rightarrow (b \wedge (\neg c))) \rightarrow (a \wedge b),
  • (a→(b→(c→d)))(a \rightarrow (b \rightarrow (c \rightarrow d))),
  • (a1→(a2→(... →an)))(a_{1} \rightarrow (a_{2} \rightarrow (...\, \rightarrow a_{n}))) pour tout entier n≥1n \geq 1.
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