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.
“Flower in the crannied wall,
I pluck you out of the crannies,
I hold you here, root and all, in my hand,
Little flowerbut if I could understand
What you are, root and all, and all in all,
I should know what God and man is.”
—Alfred Tennyson (18091892)
“Certainly for us of the modern world, with its conflicting claims, its entangled interests, distracted by so many sorrows, so many preoccupations, so bewildering an experience, the problem of unity with ourselves in blitheness and repose, is far harder than it was for the Greek within the simple terms of antique life. Yet, not less than ever, the intellect demands completeness, centrality.”
—Walter Pater (18391894)
“Any language is necessarily a finite system applied with different degrees of creativity to an infinite variety of situations, and most of the words and phrases we use are prefabricated in the sense that we dont coin new ones every time we speak.”
—David Lodge (b. 1935)
“Forget about the precious sight
of my lovers face
that steals away my heart.
Just seeing the borders
of the fields on the borders
of her village
gives me instant joy.”
—Hla Stavhana (c. 50 A.D.)