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infinitesimals
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Definitions of infinitesimals in various dictionaries:
noun - (mathematics) a variable that has zero as its limit
INFINITESIMALS - In mathematics, infinitesimals are things so small that there is no way to measure them. The insight with exploiting infinitesimals was that entities...
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Plural form of infinitesimal. |
an indefinitely small quantity a value approaching zero. |
Infinitesimals description |
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In mathematics, infinitesimals are things so small that there is no way to measure them. The insight with exploiting infinitesimals was that entities could still retain certain specific properties, such as angle or slope, even though these entities were quantitatively small. The word infinitesimal comes from a 17th-century Modern Latin coinage infinitesimus, which originally referred to the "infinite-th" item in a sequence. * Infinitesimals are a basic ingredient in the procedures of infinitesimal calculus as developed by Leibniz, including the law of continuity and the transcendental law of homogeneity. In common speech, an infinitesimal object is an object that is smaller than any feasible measurement, but not zero in sizeor, so small that it cannot be distinguished from zero by any available means. Hence, when used as an adjective, "infinitesimal" means "extremely small". To give it a meaning, it usually must be compared to another infinitesimal object in the same context (as in a |