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)
“Propaganda has a bad name, but its root meaning is simply to disseminate through a medium, and all writing therefore is propaganda for something. It’s a seeding of the self in the consciousness of others.”
—Elizabeth Drew (1887–1965)
“Art expresses the one, or the same by the different. Thought seeks to know unity in unity; poetry to show it by variety; that is, always by an object or symbol.”
—Ralph Waldo Emerson (1803–1882)
“God is a being of transcendent and unlimited perfections: his nature therefore is incomprehensible to finite spirits.”
—George Berkeley (1685–1753)
“Over the tree-tops I float thee a song,
Over the rising and sinking waves, over the myriad fields and the
prairies wide,
Over the dense-packed cities all and the teeming wharves and ways,
I float this carol with joy, with joy to thee, O death,”
—Walt Whitman (1819–1892)