In mathematics, in particular in field theory and real algebra, a formally real field is a field that admits an ordering which makes it an ordered field.
Read more about Formally Real Field: Alternative Definitions, Real Closed Fields
Famous quotes containing the words formally, real and/or field:
“From a bed in this hotel Seargent S. Prentiss arose in the middle of the night and made a speech in defense of a bedbug that had bitten him. It was heard by a mock jury and judge, and the bedbug was formally acquitted.”
—Federal Writers’ Project Of The Wor, U.S. public relief program (1935-1943)
“With steady eye on the real issue, let us reinaugurate the good old “central ideas” of the Republic. We can do it. The human heart is with us—God is with us. We shall again be able not to declare, that “all States as States, are equal,” nor yet that “all citizens as citizens are equal,” but to renew the broader, better declaration, including both these and much more, that “all men are created equal.””
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“Whether in the field of health, education or welfare, I have put my emphasis on preventive rather than curative programs and tried to influence our elaborate, costly and ill- co-ordinated welfare organizations in that direction. Unfortunately the momentum of social work is still directed toward compensating the victims of our society for its injustices rather than eliminating those injustices.”
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