Since ({T^{n}(f_{0})}) is monotone increasing, the assumptions of Theorem 2.3 are satisfied and will imply that (T^{n}(f_{0}) leqbar{f}) ρ-a.e., for any (n geq1).
As the array size is increased, the fundamental assumption of horizontally homogeneous layering would be difficult to expect.
A set of beliefs is congruent for Lewis (1946, 338) when the antecedent probability of each is increased by the assumption of the truth of the rest.
The heating effect is thus increased under the assumption that the temperature of the tissue surrounding the stent drops to the "unperturbed" body temperature at a distance considerably larger than the stent's diameter R. The second simplification is the assumption that the blood temperature follows the stent temperature, as expressed by Equation 5.
Since 1870 the tolerant attitude of the French republican governments toward titles, which are not officially recognized, has increased the confusion by facilitating the assumption of the title on very slender grounds of right.
On page 5 (top), the authors state that the Poisson assumption increased the variance of the model (which I interpret as "increasing the variance of the number of juvenile per year") compared to the model that uses the empirical distribution plotted in Figure 2. Since the empirical distribution is likely less biased than the Poisson distribution, why not use it?
Therefore, we see that phi w,x =1+frac{e(w)}{r(x)+e_{2}(w)} is increasing in (x>0) since r (the hr function of X) is increasing by the assumption.
To verify this assumption we increased the amount of IP5 and IP6 used in our enzymatic reactions to 10 nmols and ran two parallel gels (Figure 3B).
The inclusion of many and diverse covariates in imputation models increased the plausibility of the MAR assumption [42,43] – the additional data available in the demographic surveillance system provided critical information to facilitate this [16].
Under these assumptions, we increased the sample size to 50 per group (design effect, 1.38) and cluster size was determined to be 3 per group.
