Definition
An nth root of unity, where n = 1,2,3,ยทยทยท is a positive integer, is a complex number z satisfying the equation
An nth root of unity is primitive if it is not a kth root of unity for some smaller k:
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“No man, not even a doctor, ever gives any other definition of what a nurse should be than this—”devoted and obedient.” This definition would do just as well for a porter. It might even do for a horse. It would not do for a policeman.”
—Florence Nightingale (1820–1910)
“Beauty, like all other qualities presented to human experience, is relative; and the definition of it becomes unmeaning and useless in proportion to its abstractness. To define beauty not in the most abstract, but in the most concrete terms possible, not to find a universal formula for it, but the formula which expresses most adequately this or that special manifestation of it, is the aim of the true student of aesthetics.”
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—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)