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- W158017051 abstract "A nonzero number e is defined to be infinitely small, or infinitesimal, if $$ left| varepsilon right| < frac{1}{n}{text{ for all }}n = 1,2,3,.... $$In this case the reciprocal (omega = frac{1}{varepsilon }) will be infinitely large, or simply infinite, meaning that $$ left| omega right| > n,for,all,n = 1,2,3,. ldots $$Conversely, if a number ω has this last property, then (frac{1}{omega }) will be a nonzero infinitesimal." @default.
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- W158017051 date "1998-01-01" @default.
- W158017051 modified "2023-09-27" @default.
- W158017051 title "What Are the Hyperreals?" @default.
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- W158017051 doi "https://doi.org/10.1007/978-1-4612-0615-6_1" @default.
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