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:
“Don: Why are they closed? Theyre all closed, every one of them.
Pawnbroker: Sure they are. Its Yom Kippur.
Don: Its what?
Pawnbroker: Its Yom Kippur, a Jewish holiday.
Don: It is? So what about Kellys and Gallaghers?
Pawnbroker: Theyre closed, too. Weve got an agreement. They keep closed on Yom Kippur and we dont open on St. Patricks.”
—Billy Wilder (b. 1906)
“Last night I watched my brothers play,
The gentle and the reckless one,
In a field two yards away.
For half a century they were gone
Beyond the other side of care
To be among the peaceful dead.”
—Edwin Muir (18871959)