# infinitesimals

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infinitesimals

Philosophy dictionary. . 2011.

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• infinitesimals — inÂ·finÂ·iÂ·tesÂ·iÂ·mal || â€šÉªnfÉªnÉª tesÉªml n. variable with a limit of zero (Mathematics); minute quantity, very small amount adj. minute, very tiny; pertaining to infinitesimals (Mathematics) …   English contemporary dictionary

• Archimedes' use of infinitesimals — is the first attested explicit use. The work with infinitesimals of the ancient Greek mathematician, physicist, and engineer from Syracuse is found in the celebrated Archimedes Palimpsest. The palimpsest includes Archimedes account of his… …   Wikipedia

• Law of Infinitesimals — dilute substances can have very strong effects …   Eponyms, nicknames, and geographical games

• Infinitesimal — Infinitesimals (from a 17th century Modern Latin coinage infinitesimus , originally referring to the infinite th member of a series) have been used to express the idea of objects so small that there is no way to see them or to measure them. For… …   Wikipedia

• Calculus — This article is about the branch of mathematics. For other uses, see Calculus (disambiguation). Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables …   Wikipedia

• 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

• Non-standard calculus — Abraham Robinson Contents 1 Motivation …   Wikipedia

• Non-standard analysis — Abraham Robinson Gottfried Wilhelm Leibniz argued tha …   Wikipedia

• 0.999... — In mathematics, the repeating decimal 0.999... (which may also be written as 0.9, , 0.(9), or as 0. followed by any number of 9s in the repeating decimal) denotes a real number that can be shown to be the number one. In other words, the symbols 0 …   Wikipedia

• Differential (infinitesimal) — For other uses of differential in calculus, see differential (calculus), and for more general meanings, see differential. In calculus, a differential is traditionally an infinitesimally small change in a variable. For example, if x is a variable …   Wikipedia