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

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...

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

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

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

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...

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

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...

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...

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

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...

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

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...

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

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

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...

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

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

above matrix. The determinant of a square Vandermonde matrix (when n = m {\displaystyle n=m} ) is called a Vandermonde determinant or Vandermonde polynomial...

especially differential geometry, the Quillen metric is a metric on the determinant line bundle of a family of operators. It was introduced by Daniel Quillen...

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

"Pakistan's Foreign Policy: An Abridgement Of Internal And External Determinants". Journal of Positive School Psychology. 7 (4): 1089–1098. ISSN 2717-7564...

{\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...

JSTOR 210882. Sharafutdinova, Gulnaz (April 2006). "When Do Elites Compete? The Determinants of Political Competition in Russian Regions". Comparative Politics. 38...

Commissioner, India, retrieved 18 October 2021 Chaudhary, Latika (March 2009), "Determinants of Primary Schooling in British India", The Journal of Economic History...