# infinitesimal

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## in·fin·i·tes·i·mal

(ĭn′fĭn-ĭ-tĕs′ə-məl)
1. Immeasurably or incalculably minute.
2. Mathematics Capable of having values approaching zero as a limit.
n.
1. An immeasurably or incalculably minute amount or quantity.
2. Mathematics A function or variable continuously approaching zero as a limit.

[From New Latin īnfīnītēsimus, infinite in rank, from Latin īnfīnītus, infinite; see infinite.]

## infinitesimal

(ˌɪnfɪnɪˈtɛsɪməl)
1. infinitely or immeasurably small
2. (Mathematics) maths of, relating to, or involving a small change in the value of a variable that approaches zero as a limit
n
(Mathematics) maths an infinitesimal quantity
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## in•fin•i•tes•i•mal

(ˌɪn fɪn ɪˈtɛs ə məl)

1. indefinitely or exceedingly small; minute.
2. immeasurably small; less than an assignable quantity: to an infinitesimal degree.
3. of, pertaining to, or involving infinitesimals.
n.
4. an infinitesimal quantity.
5. Math. a variable having zero as a limit.
[1645–55; < New Latin infīnītēsim(us) (Latin infīnīt(us) infinite + -ēsimus suffix of ordinal numerals) + -al1]
in`fin•i•tes`i•mal′i•ty, in`fin•i•tes′i•mal•ness, n.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 infinitesimal - (mathematics) a variable that has zero as its limitvariable quantity, variable - a quantity that can assume any of a set of valuesmath, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement Adj. 1 infinitesimal - infinitely or immeasurably small; "two minute whiplike threads of protoplasm"; "reduced to a microscopic scale"minutelittle, small - limited or below average in number or quantity or magnitude or extent; "a little dining room"; "a little house"; "a small car"; "a little (or small) group"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

## infinitesimal

adjective mineral substances present in infinitesimal amounts in the soil
Collins Thesaurus of the English Language – Complete and Unabridged 2nd Edition. 2002 © HarperCollins Publishers 1995, 2002

## infinitesimal

So minute as not to be discernible:
Translations
nepatrný
inifinitesimal
infinitesimal

## infinitesimal

Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

## infinitesimal

Collins English/French Electronic Resource. © HarperCollins Publishers 2005

## infinitesimal

Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

## infinitesimal

Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
References in classic literature ?
Only by taking infinitesimally small units for observation (the differential of history, that is, the individual tendencies of men) and attaining to the art of integrating them (that is, finding the sum of these infinitesimals) can we hope to arrive at the laws of history.
We cannot observe infinitesimals, whether in time or space; we do not even know whether time and space are infinitely divisible.
While I was in the very act of yearning toward the new forms that Cleric brought up before me, my mind plunged away from me, and I suddenly found myself thinking of the places and people of my own infinitesimal past.
The pause was infinitesimal, but before he could go on Fraulein Hedwig said:
That great, infinitesimal question - I can't shake it out of my thoughts.
I grant you she's that, but are you aware of the infinitesimal part looks play in married life?
I mean that when you see a Woman, you ought -- besides inferring her breadth -- to see her length, and to SEE what we call her HEIGHT; although that last Dimension is infinitesimal in your country.
He had become an omnivorous reader, and the world of possibilities that were opened to him in this seat of culture and learning fairly appalled him when he contemplated the very infinitesimal crumb of the sum total of human knowledge that a single individual might hope to acquire even after a lifetime of study and research; but he learned what he could by day, and threw himself into a search for relaxation and amusement at night.
Thus, he could avoid the leap of another dog, or the drive of its fangs, and at the same moment could seize the infinitesimal fraction of time in which to deliver his own attack.
It went crashing down the hillside, tearing up saplings, mowing bushes down like grass, ripping and crushing and smashing every thing in its path--eternally splintered and scattered a wood pile at the foot of the hill, and then sprang from the high bank clear over a dray in the road--the negro glanced up once and dodged--and the next second it made infinitesimal mince-meat of a frame cooper-shop, and the coopers swarmed out like bees.
But to my mind the chances of our finding it in that great sea of sand and karoo scrub seemed almost infinitesimal. Even supposing that da Silvestra had marked the pool correctly, what was there to prevent its having been dried up by the sun generations ago, or trampled in by game, or filled with the drifting sand?
For that infinitesimal space of time he was to all purposes a frightened tiger filled with rage and terror at the apprehension of the trap.

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