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)

    ...there is hope for a tree, if it is cut down, that it will sprout again, and that its shoots will not cease. Though its root grows old in the earth, and its stump dies in the ground, yet at the scent of water it will bud and put forth branches like a young plant. But mortals die, and are laid low; humans expire, and where are they?
    Bible: Hebrew, Job 14:7-10.

    I therefore, the prisoner in the Lord, beg you to lead a life worthy of the calling to which you have been called, with all humility and gentleness, with patience, bearing with one another in love, making every effort to maintain the unity of the Spirit in the bond of peace.
    Bible: New Testament, Ephesians 4:1-3.

    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 don’t coin new ones every time we speak.
    David Lodge (b. 1935)

    Within the regions of the air,
    Compassed about with heavens fair,
    Great tracts of land there may be found
    Enriched with fields and fertile ground;
    Where many numerous hosts
    In those far distant coasts,
    For other great and glorious ends,
    Inhabit, my yet unknown friends.
    Thomas Traherne (1636–1674)