Real number — For the real numbers used in descriptive set theory, see Baire space (set theory). For the computing datatype, see Floating point number. A symbol of the set of real numbers … Wikipedia
real number — noun a) An element of the set of real numbers.; the set of real numbers include the rational numbers and the irrational numbers, but not all complex numbers. Every integer is a real number, but not vice versa. b) A floating point number. Even if… … Wiktionary
real number line — noun A geometric representation of the real number system. Syn: real line … Wiktionary
real number system — noun The complete ordered field (of real numbers). See Also: real number line … Wiktionary
real number — /ree euhl, reel/, Math. a rational number or the limit of a sequence of rational numbers, as opposed to a complex number. Also called real. [1905 10] * * * In mathematics, a quantity that can be expressed as a finite or infinite decimal expansion … Universalium
real number — noun Date: circa 1909 a number that has no imaginary part < the set of all real numbers comprises the rationals and the irrationals > … New Collegiate Dictionary
real number — See number … Philosophy dictionary
Definable real number — A real number a is first order definable in the language of set theory, without parameters, if there is a formula φ in the language of set theory, with one free variable, such that a is the unique real number such that φ(a) holds in the standard… … Wikipedia
Extended real number line — Positive infinity redirects here. For the band, see Positive Infinity. In mathematics, the affinely extended real number system is obtained from the real number system R by adding two elements: +∞ and −∞ (read as positive infinity and negative… … Wikipedia
Totally real number field — In number theory, a number field K is called totally real if for each embedding of K into the complex numbers the image lies inside the real numbers. Equivalent conditions on K , a finite extension of the rational number field Q, are that K is… … Wikipedia
extended real number system — noun The real number system adjoined with two extra symbols: ∞ and minus;∞, inheriting the ordering of the real number system, and defining minus;∞ to be less than any real number, and ∞ to be larger than any real number … Wiktionary
