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Nth Root of Unity
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7:18
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Mike, the Mathematician
The nth Roots of Unity
We discuss how to find the nth roots of unity. These complex numbers are the n solutions to the polynomial equation z^n = 1. We will use Euler's formula and deMoivre's Theorem to find the solutions. These numbers all lie on the unit circle, satisfy the cyclotomic equation if z is not 1, and play an important role in the study of the discrete ...
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