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 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.)

    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)

    Are not all finite beings better pleased with motions relative than absolute?
    Henry David Thoreau (1817–1862)

    The sun was like a great visiting presence that stimulated and took its due from all animal energy. When it flung wide its cloak and stepped down over the edge of the fields at evening, it left behind it a spent and exhausted world.
    Willa Cather (1873–1947)