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 (18171862)
“Every woman who visited the Fair made it the center of her orbit. Here was a structure designed by a woman, decorated by women, managed by women, filled with the work of women. Thousands discovered women were not only doing something, but had been working seriously for many generations ... [ellipsis in source] Many of the exhibits were admirable, but if others failed to satisfy experts, what of it?”
—Kate Field (18381908)