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:
“My old Father used to have a saying that “If you make a bad bargain, hug it the tighter”; and it occurs to me, that if the bargain you have just closed [marriage] can possibly be called a bad one, it is certainly the most pleasant one for applying that maxim to, which my fancy can, by any effort, picture.”
—Abraham Lincoln (1809–1865)
“In the field of world policy I would dedicate this Nation to the policy of the Good Neighbor—the neighbor who resolutely respects himself and, because he does, respects the rights of others—the neighbor who respects his obligations and respects the sanctity of his agreements in and with a world of neighbors.”
—Franklin D. Roosevelt (1882–1945)