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:

    Perhaps the whole root of our trouble, the human trouble, is that we will sacrifice all the beauty of our lives, will imprison ourselves in totems, taboos, crosses, blood sacrifices, steeples, mosques, races, armies, flags, nations, in order to deny the fact of death, which is the only fact we have.
    James Baldwin (1924–1987)

    I will go root away
    The noisome weeds which without profit suck
    The soil’s fertility from wholesome flowers.
    William Shakespeare (1564–1616)

    Authority is the spiritual dimension of power because it depends upon faith in a system of meaning that decrees the necessity of the hierarchical order and so provides for the unity of imperative control.
    Shoshana Zuboff (b. 1951)

    We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.
    Blaise Pascal (1623–1662)

    To the Ocean now I fly,
    And those happy climes that ly
    Where day never shuts his eye,
    Up in the broad fields of the sky:
    John Milton (1608–1674)