Ivan Shishkin, Rye (1878)

Problems/Complex analysisExerciseUnreviewed

Multiplicativité de la conjugaison complexe

by Ancient Tree·
19
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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Soient z1z_{1} et z2z_{2} deux nombres complexes.
Montrer que le conjugué de leur produit est le produit de leurs conjugués :
z1z2‾=z1‾  z2‾.\overline{z_{1}z_{2}}=\overline{z_{1}}\;\overline{z_{2}}.

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