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:

    Evil being the root of mystery, pain is the root of knowledge.
    Simone Weil (1909–1943)

    And a man of tan engages
    For the springtime of her pride,
    Eats the green by easy stages,
    Nibbles at the root beneath
    With intimidating teeth.
    Gwendolyn Brooks (b. 1917)

    The unity of effect or impression is a point of the greatest importance. It is clear, moreover, that this unity cannot be thoroughly preserved in productions whose perusal cannot be completed at one sitting.
    Edgar Allan Poe (1809–1849)

    For it is only the finite that has wrought and suffered; the infinite lies stretched in smiling repose.
    Ralph Waldo Emerson (1803–1882)

    If the Union is once severed, the line of separation will grow wider and wider, and the controversies which are now debated and settled in the halls of legislation will then be tried in fields of battle and determined by the sword.
    Andrew Jackson (1767–1845)