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 .
Read more about this topic: Root Of Unity
Famous quotes containing the words root, unity, finite and/or fields:
“Today, supremely, it behooves us to remember that a nation shall be saved by the power that sleeps in its own bosom; or by none; shall be renewed in hope, in confidence, in strength by waters welling up from its own sweet, perennial springs. Not from above; not by patronage of its aristocrats. The flower does not bear the root, but the root the flower.”
—Woodrow Wilson (18561924)
“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)
“Luxurious Man, to bring his Vice in use,
Did after him the World seduce:
And from the fields the Flowrs and Plants allure,”
—Andrew Marvell (16211678)