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)

    “A radical generally meant a man who thought he could somehow pull up the root without affecting the flower. A conservative generally meant a man who wanted to conserve everything except his own reason for conserving anything.”
    —Gilbert Keith Chesterton (1874–1936)

    “From cradle to grave this problem of running order through chaos, direction through space, discipline through freedom, unity through multiplicity, has always been, and must always be, the task of education, as it is the moral of religion, philosophy, science, art, politics and economy; but a boy’s will is his life, and he dies when it is broken, as the colt dies in harness, taking a new nature in becoming tame.”
    —Henry Brooks Adams (1838–1918)

    “Sisters define their rivalry in terms of competition for the gold cup of parental love. It is never perceived as a cup which runneth over, rather a finite vessel from which the more one sister drinks, the less is left for the others.”
    —Elizabeth Fishel (20th century)

    “For my part, I would rather look toward Rutland than Jerusalem. Rutland,—modern town,—land of ruts,—trivial and worn,—not too sacred,—with no holy sepulchre, but profane green fields and dusty roads, and opportunity to live as holy a life as you can, where the sacredness, if there is any, is all in yourself and not in the place.”
    —Henry David Thoreau (1817–1862)