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Knee of a curve — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Knee_of_a_curve
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-06T16:43:31.278Z
SHA-256 of the archived text: 2db392ec405f89a6152163b5efd4a313bce6cdda240c444832a5dd81250ee04b
Stable URL of this page: https://metraipolis.com/documento/dc_bf2eee614dba

How to cite

Knee of a curve — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Knee_of_a_curve (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_bf2eee614dba (Metraipolis archive dc_bf2eee614dba, sha256 2db392ec405f89a6152163b5efd4a313bce6cdda240c444832a5dd81250ee04b)

BibTeX

@misc{dcbf2eee614dba,
  title = {Knee of a curve — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Knee_of_a_curve},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_bf2eee614dba; sha256 2db392ec405f89a6152163b5efd4a313bce6cdda240c444832a5dd81250ee04b},
  year = {2026}
}

Archived text

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

In mathematics, a knee of a curve (or elbow of a curve) is a point where the curve visibly bends, specifically from high slope to low slope (flat or close to flat), or in the other direction. This is particularly used in optimization, where a knee point is the optimum point for some decision, for example when there is an increasing function and a trade-off between the benefit (vertical y axis) and the cost (horizontal x axis): the knee is where the benefit is no longer increasing rapidly, and is no longer worth the cost of further increases – a cutoff point of diminishing returns. In heuristic use, the term may be used informally, and a knee point identified visually, but in more formal use an explicit objective function is used, and depends on the particular optimization problem. A knee may also be defined purely geometrically, in terms of the curvature or the second derivative.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; categoria «Mathematical optimization»).
Fonte: Wikipedia in inglese, voce «Knee of a curve» — https://en.wikipedia.org/wiki/Knee_of_a_curve
Wikidata Q96386125 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q96386125
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Knee_of_a_curve?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 1328748032, consultata il 2026-10-06T15:18:45.059Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 9b4912e980737eea5ff81b5bbde53f15d88b759991965a1c71a3d048ca4756c8