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:
“Evil being the root of mystery, pain is the root of knowledge.”
—Simone Weil (19091943)
“The bud of the apple is desire, the down-falling gold,
The catbirds gobble in the morning half-awake
These are real only if I make them so. Whistle
For me, grow green for me and, as you whistle and grow green,
Intangible arrows quiver and stick in the skin
And I taste at the root of the tongue the unreal of what is real.”
—Wallace Stevens (18791955)
“Jesus abolished the very concept of guiltMhe 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 (18441900)
“Sisters define their rivalry in terms of competition for the gold cup of parental love. It is never perceived as a cup which runneth over, rather a finite vessel from which the more one sister drinks, the less is left for the others.”
—Elizabeth Fishel (20th century)
“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 (19071945)