- hyperreal number
-
Any of a set of numbers which extends the set of real numbers by including infinitesimals and infinities, and is used in non-standard analysis.
Wikipedia foundation.
hyperreal number
Look at other dictionaries:
Hyperreal 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… … Wikipedia
Hyperreal — may refer to:* Hyperreality, a term used in semiotics and postmodern philosophy * Hyperrealism, a school of painting * Hyperreal numbers, an extension of the real numbers in mathematics that are used in non standard analysis * Hyperreal , a song… … Wikipedia
hyperreal — 1. adjective a) Of or pertaining to philosophical hyperreality; perceivable as real by consciousness, though potentially unreal. b) Belonging to an extension of the real numbers containing only those that cannot be produced by repeatedly adding… … Wiktionary
Number — For other uses, see Numbers (disambiguation). A number is a mathematical object used to count and measure. In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational… … Wikipedia
Number system — This article is about different sets of numbers. For different methods of expressing numbers with symbols, see numeral system. In mathematics, a number system is a set of numbers, (in the broadest sense of the word), together with one or more… … Wikipedia
Superreal number — The superreal numbers are an extension of the real numbers, similar to the surreal numbers or hyperreal numbers, but comprising a more inclusive category than either one.Formal DefinitionSuppose X is a Tychonoff space, also called a T3.5 space,… … Wikipedia
Hypercomplex number — The term hypercomplex number has been used in mathematics for the elements of algebras that extend or go beyond complex number arithmetic.Hypercomplex numbers have had a long lineage of devotees including Hermann Hankel, Georg Frobenius, Eduard… … Wikipedia
Small number — Within a set of positive numbers, a number is small if it is close to zero. A number is smaller if it is less than another number.Within a set of positive and negative numbers there is ambiguity, because being closer to zero does not correspond… … Wikipedia
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
Surreal number — In mathematics, the surreal number system is an arithmetic continuum containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. The surreals share… … Wikipedia
