📚 noun • entry_id 60717
root of unity
Meanings (ES + gloss)
raíz de la unidad
An element of a given field (especially, a complex number) x such that for some positive integer n, xⁿ = 1.
In the case of the field of complex numbers, it follows from de Moivre's formula that the n nth roots of unity are #92;textstyle#92;cos#92;left(k#92;frac#123;2#92;pi#125;#123;n#125…
We now show that the primitive n-th roots of unity generate the other n-th roots of unity.
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