Pfaffian
In mathematics, the determinant of a skew-symmetric matrix can always be written as the square of a polynomial in the matrix entries, a polynomial with integer coefficients that only depend on the size of the matrix. The value of this polynomial, when applied to the coefficients of a skew-symmetric matrix, is called the Pfaffian of that matrix. The term Pfaffian was introduced by Cayley who indirectly named them after Johann Friedrich Pfaff. The Pfaffian (considered as a polynomial) is nonvanishing only for 2n × 2n skew-symmetric matrices, in which case it is a polynomial of degree n.
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Berezin integralChern–Gauss–Bonnet theoremChern–Weil homomorphismComputing the permanentDeterminantDomino tilingFKT algorithmFeynman diagramGorenstein ringJohann Friedrich PfaffList of linear algebra topicsMacaulay2PFPfaff (surname)PfaffianPfaffian orientationPfaffianizationPfaffiansSchwartz–Zippel lemmaSkew-symmetric matrixSymplectic matrixTutte matrixTutte polynomial
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Pfaffian
In mathematics, the determinant of a skew-symmetric matrix can always be written as the square of a polynomial in the matrix entries, a polynomial with integer coefficients that only depend on the size of the matrix. The value of this polynomial, when applied to the coefficients of a skew-symmetric matrix, is called the Pfaffian of that matrix. The term Pfaffian was introduced by Cayley who indirectly named them after Johann Friedrich Pfaff. The Pfaffian (considered as a polynomial) is nonvanishing only for 2n × 2n skew-symmetric matrices, in which case it is a polynomial of degree n.
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En matemáticas, el determinant ...... que también es antisimétrico.
@es
En mathématiques, le pfaffien, ...... trique de taille 2n × 2n, on a
@fr
In matematica, e più specifica ...... edesco Johann Friedrich Pfaff.
@it
In mathematics, the determinan ...... ich is skew symmetric as well.
@en
Пфаффианом кососимметричной ма ...... ом случае его степень равна n.
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Пфаффіаном кососиметричної мат ...... атика Йоганна Фрідріха Пфаффа.
@uk
في الرياضيات، محدد مصفوفة متما ...... ا نسبة إلى يوهان فريدريش بفاف.
@ar
在数学中,普法夫值(英語:Pfaffian)pf(A) 是矩 ...... 取决于矩阵的大小。该多项式的值被称为该斜对称矩阵的普法夫值。
@zh
数学、特に線型代数において、パフィアン(ぱふぃあん、英: P ...... 、最初にパフィアンを導入したドイツの数学者に因むものである。
@ja
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@en
title
Pfaffian
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comment
En matemáticas, el determinant ...... so es un polinomio de grado n.
@es
En mathématiques, le pfaffien, ...... ien d'une matrice A est noté .
@fr
In matematica, e più specifica ...... po , è un polinomio di grado .
@it
In mathematics, the determinan ...... t is a polynomial of degree n.
@en
Пфаффианом кососимметричной ма ...... ом случае его степень равна n.
@ru
Пфаффіаном кососиметричної мат ...... атика Йоганна Фрідріха Пфаффа.
@uk
في الرياضيات، محدد مصفوفة متما ...... ا نسبة إلى يوهان فريدريش بفاف.
@ar
在数学中,普法夫值(英語:Pfaffian)pf(A) 是矩 ...... 取决于矩阵的大小。该多项式的值被称为该斜对称矩阵的普法夫值。
@zh
数学、特に線型代数において、パフィアン(ぱふぃあん、英: P ...... 、最初にパフィアンを導入したドイツの数学者に因むものである。
@ja
label
Pfaffian
@en
Pfaffiano
@es
Pfaffiano
@it
Pfaffien
@fr
Pfaffsche Determinante
@de
Пфаффиан
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Пфаффіан
@uk
بفافي مصفوفة
@ar
パフィアン
@ja
普法夫值
@zh