In mathematics, the determinant is a scalar value that is a certain function of the entries of a square matrix. The determinant of a matrix A is commonly...

components of its output, its determinant is referred to as the Jacobian determinant. Both the matrix and (if applicable) the determinant are often referred to...

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

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

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

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...

and later named after him. Hesse originally used the term "functional determinants". The Hessian is sometimes denoted by H or, ambiguously, by ∇2. Suppose...

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...

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

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

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

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...

and only if it has a nonzero determinant, and the eigenvalues of a square matrix are the roots of a polynomial determinant. In geometry, matrices are widely...

An epitope, also known as antigenic determinant, is the part of an antigen that is recognized by the immune system, specifically by antibodies, B cells...

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

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

matrix. It is closely related to the matrix determinant lemma and its generalization. It is the determinant analogue of the Woodbury matrix identity for...

of vectors are linearly independent if and only if the Gram determinant (the determinant of the Gram matrix) is non-zero. It is named after Jørgen Pedersen...

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

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

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...

have opposite signs.) It is also called the Vandermonde determinant, as it is the determinant of the Vandermonde matrix. The value depends on the order...

expansion, is an expression of the determinant of an n × n-matrix B as a weighted sum of minors, which are the determinants of some (n − 1) × (n − 1)-submatrices...

dilemma called "zero-determinant" (ZD) strategies. The long term payoffs for encounters between X and Y can be expressed as the determinant of a matrix which...

Moore determinant is a determinant defined for Hermitian matrices over a quaternion algebra, introduced by Moore (1922). Dieudonné determinant Moore,...

determinant of the Hessian operator and other closely scale-space interest point detectors is given in (Lindeberg 2013a) showing that the determinant...

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...

system has a unique solution. It expresses the solution in terms of the determinants of the (square) coefficient matrix and of matrices obtained from it by...

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...