transcendental number
51Ordinal number — This article is about the mathematical concept. For number words denoting a position in a sequence ( first , second , third , etc.), see Ordinal number (linguistics). Representation of the ordinal numbers up to ωω. Each turn of the spiral… …
52Hyperreal number — *R redirects here. For R*, see Rockstar Games. The system of hyperreal numbers represents a rigorous method of treating the infinite and infinitesimal quantities. The hyperreals, or nonstandard reals, *R, are an extension of the real numbers R… …
53Split-complex number — A portion of the split complex number plane showing subsets with modulus zero (red), one (blue), and minus one (green). In abstract algebra, the split complex numbers (or hyperbolic numbers) are a two dimensional commutative algebra over the real …
54Beth number — In mathematics, the infinite cardinal numbers are represented by the Hebrew letter aleph (aleph) indexed with a subscript that runs over the ordinal numbers (see aleph number). The second Hebrew letter eth (beth) is used in a related way, but… …
55Rational number — In mathematics, a rational number is any number that can be expressed as the quotient or fraction a/b of two integers, with the denominator b not equal to zero. Since b may be equal to 1, every integer is a rational number. The set of all… …
56Extended 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… …
57real 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 …
58irrational number — Math. a number that cannot be exactly expressed as a ratio of two integers. [1545 55] * * * Among the real numbers, any of those that cannot be represented as quotients of integers. In decimal form, irrational numbers are represented by… …
59Surcomplex number — A surcomplex number is a number of the form a+bsqrt{ 1}, where a and b are surreal numbers. [ [http://jamespropp.org/surreal/text.ps.gz Surreal vectors and the game of Cutblock] , James Propp, August 22, 1994.] [N. L. Alling, Foundations of… …
60algebraic number — A real number that is the root of a polynomial equation. All rationals are algebraic (they are all roots of equations b x = a where a, b are integers). Reals that are not algebraic are called transcendental numbers …
