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 domain of nature is quite closed to man at all times.
    Henry David Thoreau (1817–1862)

    Give me the splendid silent sun
    with all his beams full-dazzling,
    Give me juicy autumnal fruit ripe and red from the orchard,
    Give me a field where the unmow’d grass grows,
    Give me an arbor, give me the trellis’d grape,
    Give me fresh corn and wheat, give me serene-moving animals teaching content,
    Walt Whitman (1819–1892)