Infinitesimal
On this page:
- Definition of the noun infinitesimal
- Definition of the adjective infinitesimal
- Group
- Music
- Miscellanea
- Phrases with Infinitesimal
- Printed dictionaries and other books with definitions for Infinitesimal
- Online dictionaries and encyclopedias with entries for Infinitesimal
- Photos about Infinitesimal
- Video language resources about Infinitesimal
- Quotes about Infinitesimal
- Scrabble value of I_{1}N_{1}F_{4}I_{1}N_{1}I_{1}T_{1}E_{1}S_{1}I_{1}M_{3}A_{1}L_{1}
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Definition of the noun infinitesimal
What does infinitesimal mean as a name of something?
noun - plural: infinitesimals
- (mathematics) a variable that has zero as its limit
- domain: math / mathematics / maths
- lexical domain: Cognitive Processes - nouns denoting cognitive processes and contents
- more generic terms: variable / variable quantity = a quantity that can assume any of a set of values
Alternative definition of the noun infinitesimal
noun
- [mathematics] A non-zero quantity whose magnitude is smaller than any positive number (by definition it is not a real number).
- antonym: infinity
Definition of the adjective infinitesimal
What does infinitesimal mean as an attribute of a noun?
adjective
Alternative definition of the adjective infinitesimal
adjective
- Incalculably, exceedingly, or immeasurably minute; vanishingly small.
- antonym: infinite
- [mathematics] Of or pertaining to values that approach zero as a limit.
- antonym: enormous
- [informal] Very small.
Group
Infinitesimal is a musical group.
- album: "Cmr"
Music
- "Infinitesimal" is a musical album of Unwoman.
- released on (16 years ago)
- "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
Phrases with Infinitesimal
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)
by Adrian Room
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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Photos about Infinitesimal
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- Infinitesimal
Photo credit: schmich
- Infinitesimal
Photo credit: luigig
- Ciudad infinitesimal
Photo credit: Inureyev
- An offering of infinitesimal petals
These are very tiny petals that have fallen from the blue vervain wildflower and are poised briefly on a lower leaf before the wind or rain take them forever. They're miniscule and covered with dew.
Photo credit: Bitterroot
Video language resources about Infinitesimal
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- Infinitesimal Meaning
Video shows what infinitesimal means. Incalculably, exceedingly, or immeasurably minute; vanishingly small.. Of or pertaining to values that approach zero as a ...
- Mod-05 Lec-01 Definition, Kolmogrov Differential Equations and Infinitesimal Generator Matrix
Stochastic Processes by Dr. S. Dharmaraja, Department of Mathematics, IIT Delhi.
- Definition of Infinitesimal as a Confluence
A definition of infinitesimal is given as a possible solution to the millennia conundrum.
View more videos about Infinitesimal analysis and Infinitesimal calculus.
See also the pronunciation examples of Infinitesimal!
Quotes about Infinitesimal
The number of contemporary artists who appeal to me is infinitesimal. (Nick Lowe)
more quotes about infinitesimal...
Scrabble value of I_{1}N_{1}F_{4}I_{1}N_{1}I_{1}T_{1}E_{1}S_{1}I_{1}M_{3}A_{1}L_{1}
The value of this 13-letter word is 18 points. It is included in the first and second editions of the Official Scrabble Players Dictionary.
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