Infinitesimal

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Dictionary Meaning and Definition on 'Infinitesimal'

Infinitesimal Meaning and Definition from WordNet (r) 2.0
infinitesimal adj : infinitely or immeasurably small; "two minute whiplike threads of protoplasm"; "reduced to a microscopic scale" [syn: minute, microscopic]
Infinitesimal Meaning and Definition from Webster's Revised Unabridged Dictionary (1913)
Infinitesimal \In`fin*i*tes"i*mal\, a. [Cf. F. infinit['e]simal, fr. infinit['e]sime infinitely small, fr. L. infinitus. See Infinite, a.] Infinitely or indefinitely small; less than any assignable quantity or value; very small. Infinitesimal calculus, the different and the integral calculus, when developed according to the method used by Leibnitz, who regarded the increments given to variables as infinitesimal.
Infinitesimal Meaning and Definition from Webster's Revised Unabridged Dictionary (1913)
Infinitesimal \In`fin*i*tes"i*mal\, n. (Math.) An infinitely small quantity; that which is less than any assignable quantity.
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Wikipedia Meaning and Definition on 'Infinitesimal'

Infinitesimals have been used to express the idea of objects so small that there is no way to see them or to measure them. The word infinitesimal comes from a 17th century Modern Latin coinage infinitesimus, which originally referred to the "infinite-th" item in a series.

In common speech, an infinitesimal object is an object which is smaller than any feasible measurement, hence not zero size, but so small that it cannot be distinguished from zero by any available means. Hence, when used as an adjective, "infinitesimal" in the vernacular means "extremely small".

Before the nineteenth century none of the mathematical concepts relating to infinitesimals as we know them today were formally defined, but many of these concepts were already used. The founders of infinitesimal calculus — Euler, Leibniz, Newton, Cauchy, and many others — calculated with infinitesimals and achieved correct results even though the definitions available at the time came to be thought of as insufficiently precise by the followers of Weierstrass in the 1870s. For example, Cauchy defined infinitesimals in terms of variable quantities (such as sequences) tending to zero.

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Infinitesimal Sample Sentences in News

• Motor City Bengals: Tigers' fundamental issues could hurt them later
Disclaimer: I truly believe the Tigers are so immensely talented, the likelihood they fail to make the playoffs is infinitesimal. The starting pitching and offense alone could lead this team to a World Series title. However, here comes the but. Read more on this news related to 'Infinitesimal'
• Brooklyn Bar Holding Smallest Penis In Brooklyn Contest
Do you sometimes feel a burst of machismo around wienerschnitzel? Do you find yourself savoring an unusual attraction to very long cars? Do you think your micro penis is the itsy-bitsyest in all of Brooklyn? Then Kings County Bar wants you to sign up for their first annual Smallest Penis in Brooklyn pageant! It's the ultimate wet t-shirt contest for infinitesi Read more on this news related to 'Infinitesimal'
• East Sussex County Council elections - voters’ interests must come before party interests
There have already been several attempts on local and national radio phone-ins to dismiss the UKIP share of the vote in the county council elections as being “infinitesimal” and “irrelevent”, based on the level of turnpout. Read more on this news related to 'Infinitesimal'