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)

    “There is a call to life a little sterner,
    And braver for the earner, learner, yearner.
    Less criticism of the field and court
    And more preoccupation with the sport.”
    —Robert Frost (1874–1963)