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:

    No other creative field is as closed to those who are not white and male as is the visual arts. After I decided to be an artist, the first thing that I had to believe was that I, a black woman, could penetrate the art scene, and that, further, I could do so without sacrificing one iota of my blackness or my femaleness or my humanity.
    Faith Ringgold (b. 1934)

    “My mother thinks us long away;
    ‘Tis time the field were mown.
    She had two sons at rising day,
    To-night she’ll be alone.
    —A.E. (Alfred Edward)