If we apply the technique described in the 'Application of Laguerre operational matrix for multi- order FDEs' subsection with N=3, then the approximate solution can be written as follows: u N ( x ) = ∑ i = 0 3 c i L i ( x ) = C T ϕ ( x ), Open image in new window.
The first order one-dimensional differential matrix, by using the Lagrange series with uniformly distributed nodes is established and the higher order derivative matrices for multi-dimensional problems are obtained afterwards in the normalised space.
Properties of the mixed model equations for alternative implementations of factor-analytic models are discussed, and extensions to structured modelling of covariance matrices for multi-trait, multi-environment scenarios are described.
We finally prove that any N×N matrix spaces for multi-WFRFT are equivalent.
In the 'Application of Laguerre operational matrix for multi-order FDEs' subsection of the 'Methods' section, we apply the Laguerre operational matrix of fractional integration for solving linear multi-order FDEs.
A matrix-fracture transfer function for multi-species gas flow with adsorption behavior is presented.
Structured matrices for deep learning.
However, lenders use different matrices for calculating affordability.
In part one of this study a matrix-fracture transfer function was presented for multi-species gas migration in dual-porosity media.
Moreover, we provide several mathematical insights into the generalization of the OSM matrix to multi-state alphabets.
For multi-frequency DOA estimation, we employ the normalized autocorrelation matrices at each of the Q operational frequencies [20].
