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:

    Don: Why are they closed? They’re all closed, every one of them.
    Pawnbroker: Sure they are. It’s Yom Kippur.
    Don: It’s what?
    Pawnbroker: It’s Yom Kippur, a Jewish holiday.
    Don: It is? So what about Kelly’s and Gallagher’s?
    Pawnbroker: They’re closed, too. We’ve got an agreement. They keep closed on Yom Kippur and we don’t open on St. Patrick’s.
    Billy Wilder (b. 1906)

    Last night I watched my brothers play,
    The gentle and the reckless one,
    In a field two yards away.
    For half a century they were gone
    Beyond the other side of care
    To be among the peaceful dead.
    Edwin Muir (1887–1959)