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# Infinitesimal

## Definition of the noun infinitesimal

What does infinitesimal mean as a name of something?

noun - plural: infinitesimals

1. (mathematics) a variable that has zero as its limit

### Alternative definition of the noun infinitesimal

noun

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

## Definition of the adjective infinitesimal

What does infinitesimal mean as an attribute of a noun?

1. infinitely or immeasurably small

### Alternative definition of the adjective infinitesimal

1. Incalculably, exceedingly, or immeasurably minute; vanishingly small.
2. [mathematics] Of or pertaining to values that approach zero as a limit.
3. [informal] Very small.

## Group

Infinitesimal is a musical group.

• album: "Cmr"

## Music

1. "Infinitesimal" is a musical album of Unwoman.
• released on (16 years ago)
2. "Infinitesimal" is a musical album of Audio Paradox.
• released in (14 years ago)

## Miscellanea

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 insight with exploiting infinitesimals was that objects could still retain certain specific properties, such as angle or slope, even though these objects were quantitatively small. The word infinitesimal comes from a 17th-century Modern Latin coinage infinitesimus, which originally referred to the "infinite-th" item in a sequence. It was originally introduced around 1670 by either Nicolaus Mercator or Gottfried Wilhelm Leibniz. Infinitesimals are a basic building block of infinitesimal calculus. In common speech, an infinitesimal object is an object which is smaller than any feasible measurement, but not zero in size; or, so small that it cannot be distinguished from zero by any available means. Hence, when used as an adjective, "infinitesimal" means "extremely small". In order to give it a meaning it usually has to be compared to another infinitesimal object in the same context. Infinitely many infinitesimals are summed to produce an integral.

• also known as 無窮小量

## Printed dictionaries and other books with definitions for Infinitesimal

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### Educational Notes and Queries (1875)

The word infinitesimal means infinitely small. An infinitesimal quantity, therefore , ...

### Dictionary of Confusable Words (2000)

infer see imply infinite/infinitesimal The two words are opposites, since infinite is used for something endless (see infinity), while infinitesimal is used for something so small that it is virtually negligible: 'Jonathan took infinite trouble over the ...

### Dictionary of Geophysics, Astrophysics, and Astronomy (2001)

by Richard A. Matzner

infinitesimal canonical transformation In classical mechanics, a canonical transformation in which the change between old canonical variables {qk ,pl} with Hamiltonian H(qk ,pl ,t) and new canonical variables {Qk ,Pm} ...

### Encyclopedia of the Scientific Revolution (2003)

From Copernicus to Newton by Wilbur Applebaum

In particular, indivisibles and infinitesimals played a central role in the development of one of the main mathematical achievements of the seventeenth century, the infinitesimal calculus. To visualize the difference between indivisibles and ...

### Encyclopedic Dictionary of Mathematics (1993)

by Kiyosi Itô

There are positive infinitesimal hyperreal numbers. (3) For every set A in U, there exists a hyperfinite internal subset of *A containing all *a, aeA. l-Iere, F is called hyperfinite if we have *l=¢(l“), where ¢(x) is a formula that says “x is a finite set ...

## Online dictionaries and encyclopedias with entries for Infinitesimal

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## Video language resources about Infinitesimal

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View more videos about Infinitesimal analysis and Infinitesimal calculus.