Z-score method normalize a time series T = {t1, t2, t3, …, tn} into a normalized time series NT = {Nt1, Nt2, Nt3,…, Ntn} such that mu left( {NT} right) approx 0 {text{and}};sigma (NT) approx 1 where µ NT) and σ NT) are the mean and standard deviation respectively of normalized time series NT.
(The steady-state hypothesis being (fleft( {ldots } right) approx 0)).
Then R can be approximated by Rleft eta right)approx rleft eta right)+{r}_{v0}left eta right) (3).
The dose response curves of serotonin were shifted to the right approx. 6- and 5-fold in the VD group compared to PCS and ECS, respectively (p=0.009).
then Gleft x,y,kupsigma right -Gleft x,y,upsigma right -Gleft xeft(k-1right){upsigma}^2{nabla}^2G (6)where k-1 is a constant.
In order to linearize the equations in time, we used Taylor's expansion approximation; (fleft( {t + Delta t} right) approx fleft( t right) + left( {partial fleft( t right)/partial t} right)Delta t).
fleft(mathbf{X} right) approx f {tilde{mathbf{X}}}) + {text{vec}}left({f'left(mathbf{X} right)} right)^{H}{text{vec}}({mathbf{X} - tilde{mathbf{X}}}).
Therefore, according to (13), in high SNR, the CDF ( {F}_{gamma_1}(x) ) can be given approximately by {F}_{gamma_1}left(gamma right)approx {left 1-{rho}_1right)}^{N_1-1}frac{gamma }{Omega_1} (48).
This is because when σ 2≪a 2, the CRLB of the RIPS-sq in (33) is approximated as gamma^{ text{sq})} approx left(frac{c}{2pi} right)^{2} frac{4sigma^{2}}{a^{2} N g^{2}}.
We can also approximate logarithmic function log2 by: {log}_2left(1+cdotcdot {mathrm{SINR}}_{left i,bright)}left({mathbf{P}}^right)right)approx {log}_2left chi cdot {mathrm{SINR}}_{left i,bright)}left({mathbf{P}}^right)right).
Absorption coefficient can be extracted from the relationship [21], Fig. 4 Optical transmittance spectra of AZO, ZnO, and AZO/ZnO films Tleft uplambda right) approx {left 1- Rleft uplambda right)right)}^2{e^^{upalpha left uplambda right) d} (1 where d is the film thickness, T is the transmittance, and R is the reflectance.
