Sentence examples for elements of the square from inspiring English sources
Variances of the observational components were used as the diagonal elements of the square matrix V, with off-diagonal elements all zero.
The variances of these cross-covariances (used as the diagonal elements of the square matrix V) were determined by calculating separate variances of cross-covariances for (i) our index of body condition in parents and our index of immune response in offspring, and (ii) our index of immune response in parents and our index of body condition in offspring.
The measurement error covariance S m is represented by {mathbf{S}}_{{mathbf{m}}} = {mathbf{GS}}_{{mathbf{d}}} {mathbf{G}}^{{mathbf{T}}}, (11 where S d is taken to be a diagonal matrix with elements consisting of the square of the expected noise level in brightness temperature.
The idea is to express the elements of the mean square error matrix (MSE) of the LS estimators as integrals of the density, express optimality criteria as functions of MSE, and minimize them by stochastic optimization.
Stewart (1976 ▶) demonstrated that and from single-crystal X-ray and neutron diffraction differ, and that will be in between the arithmetic and geometric mean of the diagonal elements of the mean-square displacement matrix.
The motor condition provides control for motor, attention, and primary visual elements of the matching and square completion conditions.
The side length of the grid elements constituting the square region was recommended as 0.5 m and the number of spray directions was 180 in the simulation.
Note: Diagonal elements show the square root of the average variance extracted (AVE).
Also, ̂ will denote diagonalization, whether by suppression of the off-diagonal elements of a square matrix or by placement of the elements of a vector.
The square elements of the grid that sit on the boundary can be regarded as square tiles thrown onto the perimeter of the profile.
These matrices define the elements of a square matrix Z(U, V) of order three, as follows.
