Definition of de Moivre's theorem in English:

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de Moivre's theorem

Pronunciation: /də ˈmwävrəz ˌTHirəm/
A theorem that 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 English mathematician, fellow of the Royal Society.

For editors and proofreaders

Syllabification: de Moi·vre's the·o·rem

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