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:
“The real persuaders are our appetites, our fears and above all our vanity. The skillful propagandist stirs and coaches these internal persuaders.”
—Eric Hoffer (1902–1983)
“Thus piteously Love closed what he begat:
The union of this ever-diverse pair!
These two were rapid falcons in a snare,
Condemned to do the flitting of the bat.”
—George Meredith (1828–1909)
“Love to chawnk green apples an’ go swimmin’ in the
lake.—
Hate to take the castor-ile they give for belly-ache!
‘Most all the time, the whole year round, there ain’t no flies on
me,
But jest ‘fore Christmas I’m as good as I kin be!”
—Eugene Field (1850–1895)