Infinitesimal

Word INFINITESIMAL
Character 13
Hyphenation in fin i tes i mal
Pronunciations /ˌɪnfɪnɪˈtɛsɪməl/

Definitions and meanings of "Infinitesimal"

What do we mean by infinitesimal?

Immeasurably or incalculably minute. adjective

Capable of having values approaching zero as a limit. adjective

An immeasurably or incalculably minute amount or quantity. noun

A function or variable continuously approaching zero as a limit. noun

Infinitely or indefinitely small; less than any assignable quantity.

In mathematics, a fictitious quantity so small that by successive additions to itself no sensible quantity, such as the unit of quantity, could ever be generated. noun

Infinitely or indefinitely small; less than any assignable quantity or value; very small. adjective

The different and the integral calculus, when developed according to the method used by Leibnitz, who regarded the increments given to variables as infinitesimal. adjective

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

Incalculably, exceedingly, or immeasurably minute; vanishingly small. adjective

Of or pertaining to values that approach zero as a limit. adjective

Very small. adjective

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

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

Infinitely or immeasurably small adjective

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

Synonyms and Antonyms for Infinitesimal

The word "infinitesimal" in example sentences

That is the one and only actual meaning of the use of the term infinitesimal by Leibniz. ❋ Unknown (2009)

BTW, "infinitesimal" is an actual word and not made up by Obama. ❋ Unknown (2008)

Twice an infinitesimal is an infinitesimal that is twice as big. ❋ Unknown (2010)

To Jack from Texas, I know the Texas education system must be in terrible shape with Republicans running that state for so long, but infinitesimal is not a made up word, just do a search, here is the definition: ❋ Unknown (2008)

Say, rather, "infinitesimal" - much like the snowflake that starts an avalanche. ❋ Ann Althouse (2005)

This has been achieved in two essentially different ways, the one providing a rigorous formulation of the idea of infinitesimal number, the other of infinitesimal magnitude. ❋ Bell, John L. (2009)

Bolzano also formulated a definition of the derivative of a function free of the notion of infinitesimal (see Bolzano [1950]). ❋ Bell, John L. (2009)

Only by reducing this element of free will to the infinitesimal, that is, by regarding it as an infinitely small quantity, can we convince ourselves of the absolute inaccessibility of the causes, and then instead of seeking causes, history will take the discovery of laws as its problem. ❋ Unknown (2003)

In spite of the glowing reports issued annually from various foreign hospitals for natives, and the undeniable good, though desultory and practically infinitesimal, that is being worked by these institutions, we cannot blind ourselves to the fact that western medical science is not making more rapid strides than many other innovations in the great struggle against Chinese prejudice and distrust. ❋ Herbert Allen Giles (1890)

In particular, that potent instrument called the infinitesimal calculus, which Newton had invented for the investigation of nature, had become so far perfected that Laplace, when he attempted to unravel the movements of the heavenly bodies, found himself provided with a calculus far more efficient than that which had been available to Newton. ❋ Unknown (1876)

The effect of the reductionist's method of cutting away what Leibniz defines as the infinitesimal, transforms the conception of physical space-time to the effect of implying a universe characterized by asymptotic universal entropy. ❋ Unknown (2009)

It lies in the different immediate effect of the crude images which give us the type and meaning of each; the crude image that underlies the idea of the infinitesimal is the dot, the poorest and most uninteresting of impressions; while the crude image that underlies the idea of infinity is space, multiplicity in uniformity, and this, as we have seen, has a powerful effect on account of the breadth, volume, and omnipresence of the stimulation. ❋ George Santayana (1907)

I can not believe how many of you are admitting that you have never heard the word "infinitesimal" before! ❋ Unknown (2008)

Why the huge differences they both were emphasizing a month ago are suddenly 'infinitesimal'? ❋ Unknown (2008)

June 10th, 2008 10: 37 am ET differences are 'infinitesimal' I DON'T THINK SO when you check her program on Health Care, withdraw of Irak and foreing policy (NOT talking directly to the leaders of Iran, Cuba ... etc.) ❋ Unknown (2008)

Jack from Texas, and anyone else who thinks Barack coined a new word - "infinitesimal" has been around for a long, long time. ❋ Unknown (2008)

When used as an adjective in the vernacular, "infinitesimal" means extremely small, but not necessarily "infinitely small". ❋ Unknown (2008)

In reality, these prospects are "infinitesimal," he says. ❋ Unknown (2010)

If it is, "infinitesimal" would also be appropriate. ❋ Unknown (2008)

Cross Reference for Infinitesimal

What does infinitesimal mean?

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