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词汇 de Moivre's theorem
释义

Definition of de Moivre's theorem in English:

de Moivre's theorem

noundə ˈmwɑːvr(ə)də ˈmwävrəz ˌTHirəm
Mathematics
  • A theorem which states that (cos θ + i sin θ)ⁿ = cos nθ + i sin nθ, where i is the square root of −1.

    〔数〕棣美弗定理

    Example sentencesExamples
    • The de Moivre's theorem is used very often in electrical engineering and physics to determine things like the phase shifts of alternating currents.

Origin

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 US English:

de Moivre's theorem

noundə ˈmwävrəz ˌTHirəm
Mathematics
  • A theorem which states that (cos θ + i sin θ)ⁿ = cos nθ + i sin nθ, where i is the square root of −1.

    〔数〕棣美弗定理

    Example sentencesExamples
    • The de Moivre's theorem is used very often in electrical engineering and physics to determine things like the phase shifts of alternating currents.

Origin

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

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