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.
“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 (18441900)
“The gifts he gave were that some would be apostles, some prophets, some evangelists, some pastors and teachers, to equip the saints for the work of ministry, for building up the body of Christ, until all of us come to the unity of the faith and of the knowledge of the Son of God, to maturity, to the measure of the full stature of Christ.”
—Bible: New Testament, Ephesians 4:11.
“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 mans 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 (18831917)
“The worlds great day is growing late,
Yet strange these fields that we have planted
So long with crops of love and hate.”
—Edwin Muir (18871959)