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de Moivre's theorem Line breaks: de Moivre's the|orem
Pronunciation: /də ˈmwɑːvr(ə)/

Definition of de Moivre's theorem in English:


A theorem which states that (cos θ + i sin θ)n = cos nθ + i sin nθ, where i is the square root of −1.
Example sentences
  • The de Moivre's theorem is used very often in electrical engineering and physics to determine things like the phase shifts of alternating currents.


Early 18th century: named after Abraham de Moivre (1667–1754), French-born mathematician, fellow of the Royal Society.

Definition of de Moivre's theorem in:
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