For the estimated value (hat{nu }_{text{s}}), the term ({mathcal{G}}left( t right)) demands the information of (mathop {mu_{text{a}} }limits^) and (dot{nu }_{text{s}}), which can be retrieved by utilizing the second-order sliding mode observer.
By utilizing the second-order sparse expression (13) and the single-channel sampling model (9), the single-channel sampling vector can be rewritten as begin{array}rcl@ {textbf{Y}_{1 M}} = {boldsymbol{bar Phi bar Psi chi }} + {boldsymbol{sigma }} end{array} (14).
This chapter deals with electrochemical energy production from an engineering thermodynamics point of view by utilizing the first and the second laws of thermodynamics.
The structural optimization of SiNWs and GeNWs has been performed by utilizing the first principles total energy projector-augmented wave method (code VASP) described in detail elsewhere [19-21] [19-21]
The present work gives an accurate remedy for the atomistic calculations of these parameters by utilizing the first principles density functional theory (DFT) for the calculations of the atomic force constants combined with an analytical formulation.
The primary objectives of this paper are as follows: (A) We introduce a new set of formulas to be calculated at the tangent and cotangent factor nodes, to better approximate the mean and variance of the function values by utilizing the first-order TS expansion of the functions, so that the Gaussianity assumption still holds.
Therefore, ( {overline{mathbf{F}}}^k ) and R k are designed step-by-step, which starts by computing the transmit space matrix and the receive processing matrix of the first user, then computes the matrices for the second user by utilizing the receive processing matrix of the first user and so on.
Second, assuming no carry-over effects, we tested for a treatment effect by utilizing the parameter differences from the first to the second investigation.
It has indicated that by utilizing the Hamiltonian approach the first iteration leads us to a high accuracy of solutions.
It was shown that yield can be increased without compensating the cleanness of the accept pulp by utilizing the accept pulp from the second stage for another paper machine line instead of sending back to the feed flow of the first stage.
