Root of Unity - Root of Unity in Finite Fields

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 of, root, unity, finite and/or fields:

    At the root of all these noble races, the beast of prey, the splendid blond beast prowling greedily in search of spoils and victory, cannot be mistaken.
    Friedrich Nietzsche (1844–1900)

    Flower in the crannied wall,
    I pluck you out of the crannies,
    I hold you here, root and all, in my hand,
    Little flower—but if I could understand
    What you are, root and all, and all in all,
    I should know what God and man is.
    Alfred Tennyson (1809–1892)

    However incoherent a human existence may be, human unity is not bothered by it.
    Charles Baudelaire (1821–1867)

    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 man’s 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 (1883–1917)

    During the first World War women in the United States had a chance to try their capacities in wider fields of executive leadership in industry. Must we always wait for war to give us opportunity? And must the pendulum always swing back in the busy world of work and workers during times of peace?
    Mary Barnett Gilson (1877–?)