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Affine arithmetic — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Affine_arithmetic
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T22:22:28.235Z
SHA-256 of the archived text: d8ffffcb81024bf9687d0ec8b5edbdd2b829a6e9349b3913928dd5355c3381e6
Stable URL of this page: https://metraipolis.com/documento/dc_d1eadf8c1906

How to cite

Affine arithmetic — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Affine_arithmetic (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_d1eadf8c1906 (Metraipolis archive dc_d1eadf8c1906, sha256 d8ffffcb81024bf9687d0ec8b5edbdd2b829a6e9349b3913928dd5355c3381e6)

BibTeX

@misc{dcd1eadf8c1906,
  title = {Affine arithmetic — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Affine_arithmetic},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_d1eadf8c1906; sha256 d8ffffcb81024bf9687d0ec8b5edbdd2b829a6e9349b3913928dd5355c3381e6},
  year = {2026}
}

Archived text

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

Affine arithmetic (AA) is a model for self-validated numerical analysis. In AA, the quantities of interest are represented as affine combinations (affine forms) of certain primitive variables, which stand for sources of uncertainty in the data or approximations made during the computation. Affine arithmetic is meant to be an improvement on interval arithmetic (IA), and is similar to generalized interval arithmetic, first-order Taylor arithmetic, the center-slope model, and ellipsoid calculus — in the sense that it is an automatic method to derive first-order guaranteed approximations to general formulas. Affine arithmetic is potentially useful in every numeric problem where one needs guaranteed enclosures to smooth functions, such as solving systems of non-linear equations, analyzing dynamical systems, integrating functions, differential equations, etc. Applications include ray tracing, plotting curves, intersecting implicit and parametric surfaces, error analysis (mathematics), process control, worst-case analysis of electric circuits, and more.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; ricerca «numerical analysis»).
Fonte: Wikipedia in inglese, voce «Affine arithmetic» — https://en.wikipedia.org/wiki/Affine_arithmetic
Wikidata Q3622729 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q3622729
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Affine_arithmetic?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 1366114314, consultata il 2026-10-07T22:03:19.570Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: cb831bdd6a65aab59e789b39496f835c2dc979f9773721c7f1e1b9e479c9be90