mathematics, a moment matrix is a special symmetric square matrix whose rows and columns are indexed by monomials. The entries of the matrix depend on the...

same calculations yield a 3 × 3 matrix of moments of inertia, called the inertia matrix or inertia tensor. The moment of inertia of a rotating flywheel...

mathematics, the structure tensor, also referred to as the second-moment matrix, is a matrix derived from the gradient of a function. It describes the distribution...

The Matrix is a 1999 science fiction action film written and directed by the Wachowskis. It is the first installment in the Matrix film series, starring...

regression analysis, a design matrix, also known as model matrix or regressor matrix and often denoted by X, is a matrix of values of explanatory variables...

named Bugs learns that the Matrix is running old code in a loop, enacting the moment when Trinity first found Neo within the Matrix. Bugs discovers a program...

perfect collinearity, the design matrix X {\displaystyle X} has less than full rank, and therefore the moment matrix X T X {\displaystyle X^{\mathsf {T}}X}...

to univariate real-valued distributions, moment-generating functions can also be defined for vector- or matrix-valued random variables, and can even be...

matrix more like a constant matrix. The pre-activations z l {\displaystyle z^{l}} only depend on y l {\displaystyle y^{l}} through its second moment matrix...

=\left|{\begin{matrix}\mathbf {e} _{x}&\mathbf {e} _{y}&\mathbf {e} _{z}\\x&0&0\\0&-F&0\end{matrix}}\right|=-Fx\,\mathbf {e} _{z}\,.} The moment about the...

{\displaystyle \mathbf {X} ^{\operatorname {T} }\mathbf {y} } is known as the moment matrix of regressand by regressors. Finally, β ^ {\displaystyle {\hat {\boldsymbol...

previously derived. In the simplest case, the problem of a near-singular moment matrix X T X {\displaystyle \mathbf {X} ^{\mathsf {T}}\mathbf {X} } is alleviated...

The Matrix is an American cyberpunk media franchise consisting of four feature films, beginning with The Matrix (1999) and continuing with three sequels...

In mathematics, a matrix (pl.: matrices) is a rectangular array of numbers or other mathematical objects with elements or entries arranged in rows and...

transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix A by producing...

covariance matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance matrix) is a square matrix giving the...

similar properties of the Hessian matrix H f {\displaystyle Hf} of a function f {\displaystyle f} and the second-moment matrix (structure tensor) μ {\displaystyle...

uses the second moment matrix as the basis of its corner decisions. (See corner detection for a more complete derivation). The matrix A {\displaystyle...

the diagonal elements of the outer product matrix, known as its trace. Christiaan Huygens Jakob Steiner Moment of inertia Perpendicular axis theorem Rigid...

matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries...

from a multivariate Gaussian distribution, N(m, M), having mean m and moment matrix M. The samples are tested for fail or pass. The first- and second-order...

landscape. NA is also good at climbing sharp crests by adaptation of the moment matrix, because NA may maximise the disorder (average information) of the Gaussian...

not exist. By using the fully swept moment matrix, we represent the vacuous linear belief functions as a zero matrix in the swept form follows: M ( X →...

formulates the problem in the terms of matrix theory), or a bounded interval (Hausdorff). The Hamburger moment problem is solvable (that is, (mn) is a...

In linear algebra, the Gram matrix (or Gramian matrix, Gramian) of a set of vectors v 1 , … , v n {\displaystyle v_{1},\dots ,v_{n}} in an inner product...

of −+1⁄2 represents the matrix square root of the inverse of a matrix. The correlation matrix of T will be the identity matrix. If a new data observation...

are the Lagrange multiplier test, and the use of eigenvalues of the moment matrix for the detection of multicollinearity. Silvey, S. D. (1959). "The Lagrangian...

reality with the blue pill. The pills were used as props in the 1999 film The Matrix. Historians of film note that the trope of a "red pill" as decisive in a...

Matrix (1999), a major box-office success for which they won the Saturn Award for Best Director. They wrote and directed its two sequels, The Matrix Reloaded...

measures of correlation used are product-moment coefficients, the correlation matrix is the same as the covariance matrix of the standardized random variables...