Pfaffian
square root of the determinant of a skew-symmetric square matrix
Facts
8 properties- Instance of
- mathematical concept
- Subclass of
- determinant[4]
- Defining formula
- \operatorname{pf}(A)=\frac1{2^nn!} \sum_{\sigma \in S_{2n}}\operatorname{sgn}(\sigma) \prod _{i=1}^n A_{\sigma (2i-1),\sigma (2i)}[7]
- Different from
- Pfaffian function[6]
- Discoverer or inventor
- Arthur Cayley[2]
- Maintained by WikiProject
- WikiProject Mathematics[8]
- Named after
- Johann Friedrich Pfaff[3]
- Time of discovery or invention
- 1852[5]
🏷️ Also known as
en Pfaffian
ar بفافي مصفوفة
de Pfaffsche Determinante
es Pfaffiano
fr Pfaffien
he פפאפיאן
he פפיאן
hu Pfaff-determináns
ja パフィアン
ko 파피안
ru Пфафиан
ru Пфаффиан
uk Пфаффіан
zh 普法夫值
🔖 Identifiers · 8
- OpenAlex ID
- C2775956649
- Encyclopedia of Mathematics article ID
- Pfaffian
- Freebase ID
- /m/02m1y5
- Great Russian Encyclopedia portal ID
- pfaffian-85418b
- MathWorld ID
- Pfaffian
- Microsoft Academic ID (discontinued)
- 2775956649
- NLab ID
- Pfaffian
- PlanetMath ID
- Pfaffian
🔗 Connections
Created notable works 1
Discoverer or inventor 1
Maintained by WikiProject 1
Named after 1
Subclass of 1
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Summary
Pfaffian is a mathematical concept[1].