Search results
Results From The WOW.Com Content Network
A meaning can be given to the Leibniz formula provided that the order for the product is specified, and similarly for other definitions of the determinant, but non-commutativity then leads to the loss of many fundamental properties of the determinant, such as the multiplicative property or that the determinant is unchanged under transposition ...
In epidemiology, a risk factor or determinant is a variable associated with an increased risk of disease or infection. [ 1 ] : 38 Due to a lack of harmonization across disciplines, determinant , in its more widely accepted scientific meaning , is often used as a synonym.
The determinant of a square matrix is a number associated with the matrix, which is fundamental for the study of a square matrix; for example, a square matrix is invertible if and only if it has a nonzero determinant and the eigenvalues of a square matrix are the roots of a polynomial determinant.
Laplace's expansion by minors for computing the determinant along a row, column or diagonal extends to the permanent by ignoring all signs. [9]For every , = =,,,where , is the entry of the ith row and the jth column of B, and , is the permanent of the submatrix obtained by removing the ith row and the jth column of B.
The Jacobian determinant is sometimes simply referred to as "the Jacobian". The Jacobian determinant at a given point gives important information about the behavior of f near that point. For instance, the continuously differentiable function f is invertible near a point p ∈ R n if the Jacobian determinant at p is non-zero.
Synonym for generalized permutation matrix. Moore matrix: A row consists of a, a q, a q², etc., and each row uses a different variable. Nonnegative matrix: A matrix with all nonnegative entries. Null-symmetric matrix A square matrix whose null space (or kernel) is equal to its transpose, N(A) = N(A T) or ker(A) = ker(A T). Synonym for kernel ...
Words and phrases can be categorized by both their syntactic category [b] and their syntactic function.In the clause the dog bit the man, for example, the dog belongs to the syntactic category of noun phrase and performs the syntactic function of subject.
wife wò 2SG. POSS âka that nà the ani wò âka nà wife 2SG.POSS that the ´that wife of yours´ There are also languages in which demonstratives and articles do not normally occur together, but must be placed on opposite sides of the noun. For instance, in Urak Lawoi, a language of Thailand, the demonstrative follows the noun: rumah house besal big itu that rumah besal itu house big that ...