In mathematics, a real closed field is a field F that has the same first-order properties as the field of real numbers. Some examples are the field of real numbers, the field of real algebraic numbers, and the field of hyperreal numbers.
Read more about Real Closed Field: Definitions, Model Theory: Decidability and Quantifier Elimination, Order Properties, The Generalized Continuum Hypothesis, Examples of Real Closed Fields
Famous quotes containing the words real, closed and/or field:
“I am writing for myself and strangers. This is the only
way that I can do it. Everybody is a real one to me,
everybody is like some one else too to me. No one of
them that I know can want to know it and so I write
for myself and strangers.”
—Gertrude Stein (1874–1946)
“The return of the asymmetrical Saturday was one of those small events that were interior, local, almost civic and which, in tranquil lives and closed societies, create a sort of national bond and become the favorite theme of conversation, of jokes and of stories exaggerated with pleasure: it would have been a ready- made seed for a legendary cycle, had any of us leanings toward the epic.”
—Marcel Proust (1871–1922)
“Hardly a book of human worth, be it heaven’s own secret, is honestly placed before the reader; it is either shunned, given a Periclean funeral oration in a hundred and fifty words, or interred in the potter’s field of the newspapers’ back pages.”
—Edward Dahlberg (1900–1977)