infinitesimal

infinitesimal

[in-fin-i-tes-uh-muhl]
1.
indefinitely or exceedingly small; minute: infinitesimal vessels in the circulatory system.
2.
immeasurably small; less than an assignable quantity: to an infinitesimal degree.
3.
of, pertaining to, or involving infinitesimals.
noun
4.
an infinitesimal quantity.
5.
Mathematics. a variable having zero as a limit.

Origin:
1645–55; < Neo-Latin infīnītēsim(us), equivalent to Latin infīnīt(us) infinite + -ēsimus suffix of ordinal numerals + -al1

infinitesimality, infinitesimalness, noun
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
Cite This Source Link To Infinitesimal
Collins
World English Dictionary
 infinitesimal (ˌɪnfɪnɪˈtɛsɪməl) —adj 1. infinitely or immeasurably small 2. maths of, relating to, or involving a small change in the value of a variable that approaches zero as a limit —n 3. maths an infinitesimal quantity infini'tesimally —adv

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
Cite This Source
Etymonline
Word Origin & History

infinitesimal
1710, "infinitely small," from Mod.L. infinitesimus, coined by Ger. philosopher and mathematician Baron Gottfried Wilhelm von Leibniz (1646-1716) from L. infinitus "infinite" (see infinite) + -esimus, as in centesimus "hundredth."
Online Etymology Dictionary, © 2010 Douglas Harper
Cite This Source
American Heritage
Science Dictionary
 infinitesimal   (ĭn'fĭn-ĭ-těs'ə-məl)  Pronunciation Key  Adjective   Capable of having values approaching zero as a limit. Noun   A function or variable continuously approaching zero as a limit.
The American Heritage® Science Dictionary
Cite This Source
Encyclopedia Britannica
Encyclopedia

infinitesimal

in mathematics, a quantity less than any finite quantity yet not zero. Even though no such quantity can exist in the real number system, many early attempts to justify calculus were based on sometimes dubious reasoning about infinitesimals: derivatives were defined as ultimate ratios of infinitesimals, and integrals were calculated by summing rectangles of infinitesimal width. As a result, differential and integral calculus was originally referred to as the infinitesimal calculus. This terminology gradually disappeared as rigorous concepts of limit, continuity, and the real numbers were formulated.

Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
Cite This Source
Example sentences
Neither infinitesimal time nor infinitesimal space is possible.
But this temporal frame captures only a tiny portion-in fact, an infinitesimal
one-of the entire future.
We do not and never will due to the infinity and infinitesimal nature of the
universe.
It encourages people to invest their dreams, their hopes for a better future,
into an infinitesimal probability.
Related Searches
Nearby Words