Exact(12)
The standard model was fit to each generated mortality time series using in turn the current day's PM (standard model – lag 0), the previous day's PM (standard model – lag 1), and the 2 day's previous PM (standard model – lag 2) as the PM exposure measure (PM t in Equation 1).
The moving total model was fit to each generated mortality time series using the current day's PM as the PM exposure measure (PM t in Equation 2) and 2-, 3-, 4-, and 5-day moving total mortality counts (k = 2, 3, 4, 5 in Equation 2).
PM t is the time series containing the PM exposure measure, and β is the effect of this PM exposure measure on mortality.
(13) In the equation above we have defined the following displaced states of the initial walker state, devoid of all its coherences hat{psi}_{pm t}equivsum^{N}_{k=-N} bigl|langle{k} vert psi_{0} ranglebigr|^{2}vert {kpm t} ranglelangle{k pm t} vert _{p}.
Assume that H is microhyperbolic in some direction (ell =ell (x,xi )) at the point ((x,xi )) at the energy level (bar{tau }).13 Then for a small constant (T^*>0,) begin{aligned}&WF (u cap {0le pm t le T^*, tau =bar{tau }}nonumber &quad subset {pm (langle ell _x, x-yrangle + langle ell _xi, xi +eta rangle )ge pm epsilon _0 t}.
For convenience, the HC4 estimates of the standard errors of b 0 and b 1 are denoted by S 0 and S 1. Results in Ng and Wilcox (2009) indicate that a relatively good 1−α confidence interval for the slope β 1 is b_{1} pm t S_{1}, (4).
Similar(48)
In contrast, the common component was smaller for trained than untrained sequences (significant for PMd, t(15) = 2.469, p=0.026, and IPS and OPJ, t(15) = 3.573, p<0.003) and therefore followed the pattern found for the average activity.
In the PM region (T ≥ T c), the magnetization curve is well fitted by Curie Weiss law (see Fig. 7 the inset).
where C ˜ ^ pm = T a u − c l 6 S T n, b u − b l 6 S T n, c u − a l 6 S T n Open image in new window is the point estimate of C ˜ pm Open image in new window, and S T n 2 = 1 n ∑ i = 1 n X i − t 2, Open image in new windowν n = n(1 + δ n 2 2/(1 + 2δ n 2), δ n = X ¯ − t / S n Open image in new window, and S n 2 = 1 n ∑ i = 1 n X i − X ¯ 2 Open image in new window[15].
Post-hoc t-tests revealed that the lateral parts of EC connected stronger to the AT compared to the PM network (T(21) = 2.6, p = 0.015; medial parts of EC: T(21) = −0.2 p = 0.83).
Post-hoc t-tests revealed that the anterior-lateral quadrant connected stronger to the AT compared to the PM network (T(21)=4.4, p= 0.0003), while the posterior-medial quadrant did not show this pattern (T(21)=1.5: p=0.15).
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