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# Pfaffian

The determinant of a skew-symmetric matrix, capable of being written as the square of a polynomial in the matrix entries.

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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. This polynomial is called the Pfaffian of the matrix. The Pfaffian is nonvanishing only for 2 n times; 2 n skew… …   Wikipedia

• Pfaffian — …   Useful english dictionary

• Pfaffian function — Not to be confused with Pfaffian. In mathematics, the Pfaffian functions are a certain class of functions introduced by Askold Georgevich Khovanskiǐ in the 1970s. They are named after German mathematician Johann Pfaff. Contents 1 Basic definition …   Wikipedia

• Pfaffian constraint — In robot motion planning, a Pfaffian constraint is a set of k linearly independent constraints linear in velocity, i.e., of the formA(q) dot q=0One source of Pfaffian constraints is rolling without slipping in wheeled robots.cite book author =… …   Wikipedia

• Integrability conditions for differential systems — In mathematics, certain systems of partial differential equations are usefully formulated, from the point of view of their underlying geometric and algebraic structure, in terms of a system of differential forms. The idea is to take advantage of… …   Wikipedia

• Johann Friedrich Pfaff — Infobox Scientist name = Johann Friedrich Pfaff image width = 228px caption = Johann Friedrich Pfaff birth date = birth date|1765|12|22|mf=y birth place = Stuttgart, Germany death date = death date and age|1825|4|21|1765|12|22|mf=y death place =… …   Wikipedia

• Frobenius theorem (differential topology) — In mathematics, Frobenius theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system of first order homogeneous linear partial differential equations. In modern geometric terms …   Wikipedia

• Affine connection — An affine connection on the sphere rolls the affine tangent plane from one point to another. As it does so, the point of contact traces out a curve in the plane: the development. In the branch of mathematics called differential geometry, an… …   Wikipedia

• List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …   Wikipedia

• Schwartz-Zippel lemma and testing polynomial identities — Polynomial identity testing is the problem of determining whether a given multivariate polynomial is the0 polynomial or identically equal to 0. The input to the problem is an n variable polynomial over a fieldF. It can occur in the following… …   Wikipedia