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:
“She was so overcome by the splendor of his achievement that she took him into the closet and selected a choice apple and delivered it to him, along with an improving lecture upon the added value and flavor a treat took to itself when it came without sin through virtuous effort. And while she closed with a Scriptural flourish, he hooked a doughnut.”
—Mark Twain [Samuel Langhorne Clemens] (18351910)
“I dont like comparisons with football. Baseball is an entirely different game. You can watch a tight, well-played football game, but it isnt exciting if half the stadium is empty. The violence on the field must bounce off a lot of people. But you can go to a ball park on a quiet Tuesday afternoon with only a few thousand people in the place and thoroughly enjoy a one-sided game. Baseball has an aesthetic, intellectual appeal found in no other team sport.”
—Bowie Kuhn (b. 1926)