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:
“Perhaps the whole root of our trouble, the human trouble, is that we will sacrifice all the beauty of our lives, will imprison ourselves in totems, taboos, crosses, blood sacrifices, steeples, mosques, races, armies, flags, nations, in order to deny the fact of death, which is the only fact we have.”
—James Baldwin (1924–1987)
“The root of the discontent in American women is that they are too well educated.... There will be no real content among American women unless they are made and kept more ignorant or unless they are given equal opportunity with men to use what they have been taught. And American men will not be really happy until their women are.”
—Pearl S. Buck (1892–1973)
“Jesus abolished the very concept of “guilt”Mhe denied any cleavage between God and man. He lived this unity of God and man as his “glad tidings” ... and not as a prerogative!”
—Friedrich Nietzsche (1844–1900)
“The finite is annihilated in the presence of the infinite, and becomes a pure nothing. So our spirit before God, so our justice before divine justice.”
—Blaise Pascal (1623–1662)
“But famished field and blackened tree
Bear flowers in Eden never known.
Blossoms of grief and charity
Bloom in these darkened fields alone.”
—Edwin Muir (1887–1959)