hyperreal number


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hyperreal number

n
(Mathematics) any of the set of numbers formed by the addition of infinite numbers and infinitesimal numbers to the set of real numbers
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We are in possession of a well-developed mathematical theory of the so called hyperreal numbers, numbers that can be infinitely large or infinitesimally small.
"Higher Trigonometry, Hyperreal Numbers, and Euler's Analysis of Infinities." Mathematics Magazine 74.5 (2001): 339-68.
The real line is a subset of the hyperreal line; that is, each real number belongs to the set of hyperreal numbers. Surrounding each real number r, we introduce a collection of hyperreal numbers infinitely close to r.