INFINITESIMAL

infinitesimal, minute

(adjective) infinitely or immeasurably small; “two minute whiplike threads of protoplasm”; “reduced to a microscopic scale”

infinitesimal

(noun) (mathematics) a variable that has zero as its limit

Source: WordNet® 3.1


Etymology

Adjective

infinitesimal (comparative more infinitesimal, superlative most infinitesimal)

Incalculably, exceedingly, or immeasurably minute; vanishingly small.

(mathematics) Of or pertaining to values that approach zero as a limit.

(informal) Very small.

Usage notes

• Strictly, this adjective, like infinite, is incomparable, so more infinitesimal and most infinitesimal are proscribed, especially in the mathematical sense. However, these forms do occur in informal usage, where the very small (but measurable) sense is most common.

Synonyms

• See also tiny

Antonyms

• infinite

• enormous

Noun

infinitesimal (plural infinitesimals)

(mathematics) A non-zero quantity whose magnitude is smaller than any positive number (by definition it is not a real number).

Antonyms

• infinity

Source: Wiktionary


In`fin*i*tes"i*mal, a. Etym: [Cf. F. infinitésimal, fr. infinitésime infinitely small, fr. L. infinitus. See Infinite, a.]

Definition: 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.

In`fin*i*tes"i*mal, n. (Math.)

Definition: An infinitely small quantity; that which is less than any assignable quantity.

Source: Webster’s Unabridged Dictionary 1913 Edition



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