In mathematics, the determinant is a scalar-valued function of the entries of a square matrix. The determinant of a matrix A is commonly denoted det(A)...

function values, then its determinant is called the Jacobian determinant. Both the matrix and (if applicable) the determinant are often referred to simply...

In epidemiology, a risk factor or determinant is a variable associated with an increased risk of disease or infection.: 38  Due to a lack of harmonization...

mathematics, in particular linear algebra, the matrix determinant lemma computes the determinant of the sum of an invertible matrix A and the dyadic product...

statistics, the pseudo-determinant is the product of all non-zero eigenvalues of a square matrix. It coincides with the regular determinant when the matrix is...

and later named after him. Hesse originally used the term "functional determinants". The Hessian is sometimes denoted by H or ∇ ∇ {\displaystyle \nabla...

In quantum mechanics, a Slater determinant is an expression that describes the wave function of a multi-fermionic system. It satisfies anti-symmetry requirements...

mathematics, it is sometimes possible to generalize the notion of the determinant of a square matrix of finite order (representing a linear transformation...

In mathematics, the Fredholm determinant is a complex-valued function which generalizes the determinant of a finite dimensional linear operator. It is...

In linear algebra, a minor of a matrix A is the determinant of some smaller square matrix generated from A by removing one or more of its rows and columns...

In linear algebra, the Dieudonné determinant is a generalization of the determinant of a matrix to matrices over division rings and local rings. It was...

In mathematics, the determinant method is any of a family of techniques in analytic number theory. The name was coined by Roger Heath-Brown and comes...

Moore determinant, named after Eliakim Hastings Moore, may refer to The determinant of a Moore matrix over a finite field The Moore determinant of a Hermitian...

In mathematics, the Fuglede−Kadison determinant of an invertible operator in a finite factor is a positive real number associated with it. It defines...

number of rows and columns, play a major role in matrix theory. The determinant of a square matrix is a number associated with the matrix, which is fundamental...

Cytoplasmic determinants are special molecules which play a very important role during oocyte maturation, in the female's ovary. During this period of...

In mathematics, the Frobenius determinant theorem was a conjecture made in 1896 by the mathematician Richard Dedekind, who wrote a letter to F. G. Frobenius...

In mathematics, Hurwitz determinants were introduced by Adolf Hurwitz (1895), who used them to give a criterion for all roots of a polynomial to have negative...

Leibniz formula, named in honor of Gottfried Leibniz, expresses the determinant of a square matrix in terms of permutations of the matrix elements. If...

The social determinants of health (SDOH) are the economic and social conditions that influence individual and group differences in health status. They...

Hadamard's maximal determinant problem, named after Jacques Hadamard, asks for the largest determinant of a matrix with elements equal to 1 or −1. The...

In mathematics, the Quillen determinant line bundle is a line bundle over the space of Cauchy–Riemann operators of a vector bundle over a Riemann surface...

In mathematics, the determinantal conjecture of Marcus (1972) and de Oliveira (1982) asks whether the determinant of a sum A + B of two n-by-n normal...

\end{aligned}}} If the determinant is negative, then the polygon is oriented clockwise. If the determinant is positive, the polygon is oriented...

under matrix similarity and has the eigenvalues as roots. It has the determinant and the trace of the matrix among its coefficients. The characteristic...

In functional analysis, the Hilbert–Carleman determinant is an operator determinant for certain integral operators on Banach spaces, whose kernels are...

In mathematics, the Moore determinant is a determinant defined for Hermitian matrices over a quaternion algebra, introduced by Moore (1922). Because quaterion...

differentiable manifold, where the corresponding line bundle is the determinant bundle of the tangent bundle (see below). The Möbius strip corresponds...

characteristic different from 2, the discriminant or determinant of Q is the determinant of A. The Hessian determinant of Q is 2 n {\displaystyle 2^{n}} times its...

{\displaystyle R} is the set of n × n {\displaystyle n\times n} matrices with determinant 1 {\displaystyle 1} , with the group operations of ordinary matrix multiplication...