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:
“It is only when we no longer compulsively need someone that we can have a real relationship with them.”
—Anthony Storr (b. 1920)
“On a flat road runs the well-trained runner,
He is lean and sinewy with muscular legs,
He is thinly clothed, he leans forward as he runs,
With lightly closed fists and arms partially raised.”
—Walt Whitman (1819–1892)
“They talk about a woman’s sphere,
As though it had a limit.
There’s not a place in earth or heaven.
There’s not a task to mankind given ...
Without a woman in it.”
—Kate Field (1838–1896)