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:
“There is a certain class of unbelievers who sometimes ask me such questions as, if I think that I can live on vegetable food alone; and to strike at the root of the matter at once,—for the root is faith,—I am accustomed to answer such, that I can live on board nails. If they cannot understand that, they cannot understand much that I have to say.”
—Henry David Thoreau (1817–1862)
“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)
“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)
“All finite things reveal infinitude:”
—Theodore Roethke (1908–1963)
“Is America a land of God where saints abide for ever? Where golden fields spread fair and broad, where flows the crystal river? Certainly not flush with saints, and a good thing, too, for the saints sent buzzing into man’s ken now are but poor- mouthed ecclesiastical film stars and cliché-shouting publicity agents.
Their little knowledge bringing them nearer to their ignorance,
Ignorance bringing them nearer to death,
But nearness to death no nearer to God.”
—Sean O’Casey (1884–1964)