Sentence examples for matrix of constants from inspiring English sources

where F ∈ C 2 ( R n, R ), G ∈ C 1 ( R n, R ), e ∈ C ( R, R n ) are periodic functions with period T; C = [ c i j ] n × n is an n × n symmetric matrix of constants, τ ∈ R is a constant.

In a BEKK (1,1) model, H t is defined as {H}_t=C{C}^{hbox+{A}^{hbox{u}_t{u}_t^{hboxA+{G}^{hbox{H}_{t-1}G (2)where C is a k by k lower triangular matrix of constants.

Assume this model is correctly specified, i.e., there exists a for which equation (4) holds, and that (5) Then (i) is a consistent estimator of ; (ii) if includes (i.e., for some matrix of constants ), is an asymptotically (N→∞) unbiased estimator of ; and iii) if includes and is a consistent estimator of.

Specifically we modeled the genetic variance covariance matrix (G) as a product of a number m of independent linear combinations of the original (p) traits, G ^ = Λ Λ T, (2 where G ^ is a (potentially reduced-rank) estimate of G, Λ is a lower triangle matrix of constants that represent loadings of each trait on each factor, and T is the transpose of a matrix.

Many multivariable (systems with many inputs/outputs) industrial processes can, to a good degree of approximation, be modelled by a transfer function matrix, where all of the interaction occurs in a matrix of constant coefficients.

We used a look-up matrix of constant values (M) to determine age at infection (a h ).

We used the average of these probabilities to construct matrices of constant transition probabilities (Table 4), which we applied to all cycles in the respective no-ART and ART scenarios in our model.

Then the interrelation between the elements of (mathbf Y) is given by a factor model: begin{aligned} mathbf Y =mu + Lambda mathbf F + varepsilon, end{aligned}where (Lambda) is (p times k) matrix of unknown constants called loadings.

The CMVM problem as enunciated above starts from a fixed set of constants in the matrix, and the best solution is found that maximizes the sharing of partial terms for that given input.

Catalyst aging or formulation changes can cause a perturbation to the rate constant matrix of a monomolecular reaction system.

In a particular case when the matrix of linear terms is constant, a representation of the fundamental matrix given by a special matrix function (so-called delayed matrix exponential, etc)., for example, in [10, 11] (for a continuous case) and in [12, 13] (for a discrete case), can give concrete formulas expressing solution of the considered problem in analytical form.