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:

    “The root of the discontent in American women is that they are too well educated.... There will be no real content among American women unless they are made and kept more ignorant or unless they are given equal opportunity with men to use what they have been taught. And American men will not be really happy until their women are.”
    —Pearl S. Buck (1892–1973)

    “The root of the problem is not so much that our people have lost confidence in government, but that government has demonstrated time and again its lack of confidence in the people.”
    —Jimmy Carter (James Earl Carter, Jr.)

    “If usually the “present age” is no very long time, still, at our pleasure, or in the service of some such unity of meaning as the history of civilization, or the study of geology, may suggest, we may conceive the present as extending over many centuries, or over a hundred thousand years.”
    —Josiah Royce (1855–1916)

    “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)

    “Leave your worry on the doorstep.”
    —Dorothy Fields (1904–1974)