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Asymptotic geometry — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Asymptotic_geometry
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-15T14:12:57.085Z
SHA-256 of the archived text: 94167818e6c0754ea4885e388a40c7cff6fb8cfd329cf28d886acd8a3abe3ed6
Stable URL of this page: https://metraipolis.com/documento/dc_ddd3badbceed

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Asymptotic geometry — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Asymptotic_geometry (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_ddd3badbceed (Metraipolis archive dc_ddd3badbceed, sha256 94167818e6c0754ea4885e388a40c7cff6fb8cfd329cf28d886acd8a3abe3ed6)

BibTeX

@misc{dcddd3badbceed,
  title = {Asymptotic geometry — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Asymptotic_geometry},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_ddd3badbceed; sha256 94167818e6c0754ea4885e388a40c7cff6fb8cfd329cf28d886acd8a3abe3ed6},
  year = {2026}
}

Archived text

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

Asymptotic geometry, also known as asymptotic geometric analysis or high-dimensional geometry, is a field of mathematics that investigates the geometric properties of finite-dimensional objects, such as convex bodies and normed spaces, as the dimension tends to infinity. It is at the intersection of convex geometry and functional analysis. The primary objects of study are typically finite-dimensional normed spaces, which can be represented as R n {\displaystyle \mathbb {R} ^{n}} equipped with a norm ‖ ⋅ ‖ {\displaystyle \|\cdot \|} , or equivalently, a unit ball K X = { x ∈ R n : ‖ x ‖ ≤ 1 } {\displaystyle K_{X}=\{x\in \mathbb {R} ^{n}:\|x\|\leq 1\}} , which is a centrally symmetric, compact, convex set with a non-empty interior.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; categoria «Probability theory»).
Fonte: Wikipedia in inglese, voce «Asymptotic geometry» — https://en.wikipedia.org/wiki/Asymptotic_geometry
Wikidata Q135920258 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q135920258
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Asymptotic_geometry?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 1372775307, consultata il 2026-10-15T13:52:08.032Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: b500f8ae9dfa521598738fe94d0dfe1378ba81c7e977112b785a4829e1e0f300