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:
“The love of money is the root of all evil.”
—Bible: New Testament St. Paul, in 1 Timothy, 6:10.
“In dark places and dungeons the preacher’s words might perhaps strike root and grow, but not in broad daylight in any part of the world that I know.”
—Henry David Thoreau (1817–1862)
“I therefore, the prisoner in the Lord, beg you to lead a life worthy of the calling to which you have been called, with all humility and gentleness, with patience, bearing with one another in love, making every effort to maintain the unity of the Spirit in the bond of peace.”
—Bible: New Testament, Ephesians 4:1-3.
“Put shortly, these are the two views, then. One, that man is intrinsically good, spoilt by circumstance; and the other that he is intrinsically limited, but disciplined by order and tradition to something fairly decent. To the one party man’s nature is like a well, to the other like a bucket. The view which regards him like a well, a reservoir full of possibilities, I call the romantic; the one which regards him as a very finite and fixed creature, I call the classical.”
—Thomas Ernest Hulme (1883–1917)
“It would not be an easy thing to bring the water all the way to the plain. They would have to organize a great coumbite with all the peasants and the water would unite them once again, its fresh breath would clear away the fetid stink of anger and hatred; the brotherly community would be reborn with new plants, the fields filled with to bursting with fruits and grains, the earth gorged with life, simple and fertile.”
—Jacques Roumain (1907–1945)