Root of Unity in Finite Fields
If is a finite field and is a positive integer then a th-root of unity in is a solution of the equation in .
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Famous quotes containing the words root of, root, unity, finite and/or fields:
“At the root of all these noble races, the beast of prey, the splendid blond beast prowling greedily in search of spoils and victory, cannot be mistaken.”
—Friedrich Nietzsche (1844–1900)
“To those who despair of everything reason cannot provide a faith, but only passion, and in this case it must be the same passion that lay at the root of the despair, namely humiliation and hatred.”
—Albert Camus (1913–1960)
“Civilization is a process in the service of Eros, whose purpose is to combine single human individuals, and after that families, then races, peoples and nations, into one great unity, the unity of mankind. Why this has to happen, we do not know; the work of Eros is precisely this.”
—Sigmund Freud (1856–1939)
“For it is only the finite that has wrought and suffered; the infinite lies stretched in smiling repose.”
—Ralph Waldo Emerson (1803–1882)
“To the Ocean now I fly,
And those happy climes that ly
Where day never shuts his eye,
Up in the broad fields of the sky:”
—John Milton (1608–1674)