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let-give-w-e-i2-pi-n-calculate-l-0-l-k-n-1-w-k-w-l-




Question Number 28372 by abdo imad last updated on 24/Jan/18
let give w=e^(i2(π/n))     .calculate  Π_(l=0_(l≠k) ) ^(n−1)    (w^k   −w^l ) .
$${let}\:{give}\:{w}={e}^{{i}\mathrm{2}\frac{\pi}{{n}}} \:\:\:\:.{calculate}\:\:\prod_{{l}=\mathrm{0}_{{l}\neq{k}} } ^{{n}−\mathrm{1}} \:\:\:\left({w}^{{k}} \:\:−{w}^{{l}} \right)\:. \\ $$

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