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:
“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 (19131960)
“Black creeps from root to root,
each leaf
cuts another leaf on the grass,
shadow seeks shadow,
then both leaf
and leaf-shadow are lost.”
—Hilda Doolittle (18861961)
“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)
“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 foolish fears of what might happen.
I cast them all away
Among the clover-scented grass,
Among the new-mown hay,
Among the husking of the corn,
Where drowsy poppies nod
Where ill thoughts die and good are born
Out in the fields with God.”
—Elizabeth Barrett Browning (18061861)