The (N + L-1) dimensional received signal vector is given in terms of the transmitter vector y → as r → = Q e I 3 ⊗ A y → T, y → ρ - 1 T, y → ρ + 1 T T + n → (7).
The most compact way of writing these equations in the metre-kilogram-second (mks) system is in terms of the vector operators div (divergence) and curl.
We will, however, focus on default count statistics which can be computed in terms of the vector of net worths.
This benchmarking involves various scenarios for each application, where the scenarios differ in terms of the vector length and the parallelism-oriented coding technique.
Using an integral differential formulation, a single unknown is determined within the shells in terms of the vector electric potential taken only at the nodes of a finite-element (FE) mesh of the conducting structures.
There might be situations where it is more convenient to work in terms of the vector potential, and the present paper leads to the simple expression (41) giving the external vector potential in terms of the Gauss coefficients and the surface vector harmonics.
In this work, we show that, for the nonlinear shallow water equations on non-uniform grids, the method has potentially 3 main sources of inconsistencies (local truncation errors not converging to zero as the grid is refined): (i) the divergence term of the continuity equation, (ii) the perpendicular velocity and (iii) the kinetic energy terms of the vector invariant form of the momentum equations.
The design matrix for this problem is: A_{ij} = i^{j}, i = - n_{text{L}} ldots n_{text{R}}, ;j = 0, ldots,M (2)and the normal equations for the vector of a j 's in terms of the vector of (f_{i})'s are in matrix notation (A^{text{T}}.A).a = A^{text{T}}.f ; {text{or}} ; a = (A^{text{T}}.A)^{ - 1}.(A^{text{T}}.f) (3).
For simplicity reasons, the common term k0L of the vector subscripts was omitted.
bias (b dcv ) estimates the bias term of the regression vector estimates whereas var (b dcv ) reflects random influences and estimates the variance of the regression vector estimates.
