(complex) root of unity
01-16-2021, 03:58 PM
Post: #7
 salvomic Senior Member Posts: 1,394 Joined: Jan 2015
RE: (complex) root of unity
(01-16-2021 03:40 PM)Albert Chan Wrote:  Assumed n is positive integer.

Cas> rootsOfOne(n) := e^(2*pi*i*range(n)/n)
Cas> rootsOfOne(3)

[1, 1/2*√3*i-1/2, -1/2*√3*i-1/2]

Cas> rootsOfz(z,n) := z^(1/n) * rootsOfOne(n)
Cas> approx(rootsOfz(3+4i, 3))

[ 1.62893714592 +0.520174502305*i,
−1.26495290636 +1.15061369838*i,
−0.363984239564-1.67078820069*i]

Cas> Ans .^ 3

[3.+4.*i, 3.+4.*i, 3.+4.*i]

well, thanks,
I'll try this.
Salvo

∫aL√0mic (IT9CLU) :: HP Prime 50g 41CX 71b 42s 39s 35s 12C 15C - DM42, DM41X - WP34s Prime Soft. Lib
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 Messages In This Thread (complex) root of unity - salvomic - 01-16-2021, 02:47 PM RE: (complex) root of unity - rprosperi - 01-16-2021, 02:57 PM RE: (complex) root of unity - salvomic - 01-16-2021, 03:53 PM RE: (complex) root of unity - robmio - 01-16-2021, 03:24 PM RE: (complex) root of unity - salvomic - 01-16-2021, 03:56 PM RE: (complex) root of unity - Albert Chan - 01-16-2021, 03:40 PM RE: (complex) root of unity - salvomic - 01-16-2021 03:58 PM RE: (complex) root of unity - salvomic - 01-16-2021, 05:27 PM RE: (complex) root of unity - robmio - 01-16-2021, 05:42 PM RE: (complex) root of unity - robmio - 01-16-2021, 05:47 PM RE: (complex) root of unity - salvomic - 01-16-2021, 06:02 PM RE: (complex) root of unity - robmio - 01-16-2021, 06:12 PM RE: (complex) root of unity - salvomic - 01-16-2021, 06:17 PM RE: (complex) root of unity - robmio - 01-16-2021, 06:28 PM RE: (complex) root of unity - salvomic - 01-16-2021, 06:37 PM RE: (complex) root of unity - robmio - 01-16-2021, 06:40 PM RE: (complex) root of unity - salvomic - 01-16-2021, 06:48 PM RE: (complex) root of unity - Jon Higgins - 12-26-2021, 11:45 AM

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