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Permanent (mathématiques) — Wikipedia (fr)

Source: Wikipedia (fr)
Original: https://fr.wikipedia.org/wiki/Permanent_(math%C3%A9matiques)
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T22:48:13.366Z
SHA-256 of the archived text: 6954968062e3d0a1c53da783e63f3bbbfb55a0b55e76213012a594beb4cbfd8a
Stable URL of this page: https://metraipolis.com/documento/dc_bed2da075d48

How to cite

Permanent (mathématiques) — Wikipedia (fr) — Wikipedia (fr), https://fr.wikipedia.org/wiki/Permanent_(math%C3%A9matiques) (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_bed2da075d48 (Metraipolis archive dc_bed2da075d48, sha256 6954968062e3d0a1c53da783e63f3bbbfb55a0b55e76213012a594beb4cbfd8a)

BibTeX

@misc{dcbed2da075d48,
  title = {Permanent (mathématiques) — Wikipedia (fr)},
  howpublished = {Wikipedia (fr)},
  url = {https://fr.wikipedia.org/wiki/Permanent_(math%C3%A9matiques)},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_bed2da075d48; sha256 6954968062e3d0a1c53da783e63f3bbbfb55a0b55e76213012a594beb4cbfd8a},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (fr), https://fr.wikipedia.org/wiki/Permanent_(math%C3%A9matiques). Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Le permanent est un outil d'algèbre linéaire. Par définition, le permanent d'une matrice carrée A = ( a i j ) {\displaystyle A=(a_{ij})} d'ordre n vaut : perm ( A ) = ∑ σ ∈ S n ∏ i = 1 n a i , σ ( i ) . {\displaystyle \operatorname {perm} (A)=\sum _{\sigma \in {\mathfrak {S}}_{n}}\prod _{i=1}^{n}a_{i,\sigma (i)}.} S n {\displaystyle {\mathfrak {S}}_{n}} désigne le groupe symétrique d'indice n. Par exemple : perm ( a b c d ) = a d + b c . {\displaystyle \operatorname {perm} {\begin{pmatrix}a&b\\c&d\end{pmatrix}}=ad+bc.}

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; ricerca «théorie des graphes»).
Fonte: Wikipedia in francese, voce «Permanent (mathématiques)» — https://fr.wikipedia.org/wiki/Permanent_(math%C3%A9matiques)
Wikidata Q1344007 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q1344007
Autori: i contributori di Wikipedia (cronologia: https://fr.wikipedia.org/wiki/Permanent_(math%C3%A9matiques)?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 228908475, consultata il 2026-10-07T22:22:32.792Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: d76fa0538b3c1ab1f19b373bd725f83c643fc597a371390eabfb7854845cc416