The electronic equations of motion for a leads unit cell, independent of N, may be expressed in a square matrix form, with an orthonormal minimal basis set of local wave functions as follows: ( E I − M d ) × c ( k, E ) = 0. (6).
Since in the iterative update procedure, the homogeneous part (1−2μ λ k)) n diminishes with iterations, (23) in a matrix form can be expressed as w ̂ ̲ T = U Λ − 1 U T r ( x s + x v ) ( s + v ) ( n − k 0 ) = R ( s + v ) ( s + v ) − 1 ( n − k 0 ) r ( x s + x v ) ( s + v ) ( n − k 0 ).
Before starting the design of MMSE detector, it is necessary to express the received signal in (9) with a matrix form by taking the consecutive subcarriers for the further development: (34).
The equations of motion of such systems can be described in matrix form, with a mass matrix multiplying a generalized velocity to give the kinetic term, and a force matrix multiplying a displacement vector to characterize the interactions.
This network can be represented in matrix form, with a density of ~15%, or 149 relations/(10 factors × 99 targets).
We therefore forced the eigenvector y i to be in the form log(S i + DT i ) and reformulated the task as a minimization problem for the logarithm of the squared residuals between the right and left side hands in Equation 11 and defined this problem in matrix form with the cost function F = log ((y ^ i − y i ) T (y ^ i − y i ) ), where y ^ i = W y i.
In each layer, the key developmental domains (KDDs) were interlinked in matrix form with the eight environmental indicators: water resource availability (WRA), soil erosion (SE), soil salinization (SS), land desertification (LD), forest destruction (FD), water quality (WQ), air quality (AQ) and biological diversity (BD).
The first correlated equilibrium constraint can be presented in matrix form with the following inequality: (13).
The established model is expressed in its linear matrix form with respect to the dynamic and friction parameters, and then the Weighted Least Square (WLS) method is applied to estimate the parameters.
The active region is based on the so called dot-in-well (DWELL) structure where the dots are embedded in a matrix with the form of a quantum well (QW).
