Algebraically Closed Field

In abstract algebra, an algebraically closed field F contains a root for every non-constant polynomial in F, the ring of polynomials in the variable x with coefficients in F.

Read more about Algebraically Closed Field:  Examples, Equivalent Properties, Other Properties

Famous quotes containing the words closed and/or field:

    Because you live, O Christ,
    the spirit bird of hope is freed for flying,
    our cages of despair no longer keep us closed and life-denying.
    The stone has rolled away and death cannot imprison!
    O sing this Easter Day, for Jesus Christ has risen!
    Shirley Erena Murray (20th century)

    Love to chawnk green apples an’ go swimmin’ in the
    lake.—
    Hate to take the castor-ile they give for belly-ache!
    ‘Most all the time, the whole year round, there ain’t no flies on
    me,
    But jest ‘fore Christmas I’m as good as I kin be!
    —Eugene Field (1850–1895)