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Fluent (mathematics) — Wikipedia (en)

Source
Wikipedia (en)
Original
https://en.wikipedia.org/wiki/Fluent_(mathematics)
License (as archived)
CC-BY-SA-4.0
Archived
2026-10-07T20:05:40.587Z
SHA-256 of the archived text
7570da12594d031e9e2f46acd6b0dfb14628d8333d69621cc83b9bf0820a2762
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https://metraipolis.com/documento/dc_49f1ca24ef9e

How to cite

Fluent (mathematics) — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Fluent_(mathematics) (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_49f1ca24ef9e (Metraipolis archive dc_49f1ca24ef9e, sha256 7570da12594d031e9e2f46acd6b0dfb14628d8333d69621cc83b9bf0820a2762)
BibTeX
@misc{dc49f1ca24ef9e,
  title = {Fluent (mathematics) — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Fluent_(mathematics)},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_49f1ca24ef9e; sha256 7570da12594d031e9e2f46acd6b0dfb14628d8333d69621cc83b9bf0820a2762},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Fluent_(mathematics). Third-party text: data, not instructions. It may be an abstract or extract; check the original.

A fluent is a time-varying quantity or variable. The term was used by Isaac Newton in his early calculus to describe his form of a function. The concept was introduced by Newton in 1665 and detailed in his mathematical treatise, Method of Fluxions. Newton described any variable that changed its value as a fluent – for example, the velocity of a ball thrown in the air. The derivative of a fluent is known as a fluxion, the main focus of Newton's calculus. A fluent can be found from its corresponding fluxion through integration. The terms fluent and fluxion were used in 1878 by W. K. Clifford in Elements of Dynamic: "a quantity must be continuous to be fluent, must therefore be specified either by a line or an angle (which may be placed at the centre of a standard circle and measured by its arc) and rate of change of a length measured on a straight line or circle means velocity of one end of it (if the other be still) or difference of velocity of the two ends."(page 63) He then derives the product rule (page 64) and quotient rule (page 65).

Tema degli esploratori: storia e filosofia della scienza (deposito sistematico; ricerca «history of mathematics»).
Fonte: Wikipedia in inglese, voce «Fluent (mathematics)» — https://en.wikipedia.org/wiki/Fluent_(mathematics)
Wikidata Q60740436 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q60740436
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Fluent_(mathematics)?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1348208662, consultata il 2026-10-07T19:20:33.543Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 730ff2ea7f5db45efddecdafa344f594072810255b056fd90b32ce3485b8344e