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:
“Because you live, O Christ,
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our cages of despair no longer keep us closed and life-denying.
The stone has rolled away and death cannot imprison!
O sing this Easter Day, for Jesus Christ has risen!”
—Shirley Erena Murray (20th century)
“Give me the splendid silent sun
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Give me juicy autumnal fruit ripe and red from the orchard,
Give me a field where the unmow’d grass grows,
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—Walt Whitman (1819–1892)