Word Pronunciation & Dictionary

de moivre's formula

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables
de -moivre's -for-mu-la
IPA
27
Scrabble Score
16
Letters
5
Syllables
12
Unique Chars

Meaning

name

A formula that connects trigonometry and complex numbers, stating that, for any complex number (and, in particular, for any real number) x and integer n, big ( cos (x)+i sin (x) big )ⁿ= cos (nx)+i sin (nx), where i is the imaginary unit.

Etymology

Named after Abraham de Moivre (1667–1754), French mathematician.

Synonyms

Questions

What does de moivre's formula mean?
A formula that connects trigonometry and complex numbers, stating that, for any complex number (and, in particular, for any real number) x and integer n, big ( cos (x)+i sin (x) big )ⁿ= cos (nx)+i sin (nx), where i is the imaginary unit.
Where does de moivre's formula come from?
Named after Abraham de Moivre (1667–1754), French mathematician.

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