In order to reduce this possibility to a minimum, we obtained information on neurological status and development from the attending pediatrician of the non-participants.
This was confirmed by the fact that when we repeated the analysis using 2 repeat units (instead of 3) as the minimum length, we obtained similar values as reported by Mun et al. (2006) [ 51].
Due to the uniqueness of a minimum-norm element, we obtain w ˆ = w ˜. □.
Yet, by a simple reasoning based on upper limits of u and the inferred (minimum) number of mutations from star-phylogeny components of the haplotype diagrams, we obtain minimum ages that reliably bracket out the most recent time frame affected by human activities.
45 The former suggest significantly deeper minima than we obtained (between 2.5 cm−1 for LiHe and 1.3 cm−1 for CsHe), while the latter, which are based on second-order exchange perturbation theory with damped van der Waals interaction terms, are in good agreement with our results.
Also, in view of the known criteria, for each function in the family of derivative functions, we obtain minimum values of the HC functions by equating its derivative with zero.
We obtain minimum 10Be exposure ages of up to 750 000 yr for the quartzites, some of the oldest ages obtained by this method outside Antarctica, which are made possible by the extremely low erosion rates of less than 0.6 mm kyr−1 in the resistant quartzites.
Substituting Equation 4 into Equation 3, and taking into account that in the point z0 = 0, the 'potential energy' W has a local metastable minimum (see Figure 1), we obtain the following expression: W z 0 = π 2 Q − 1 / 2 M S H c 2 − z 0 3 3 + d z 0 2 (5).
As a special case, we obtain the minimum norm solution of the variational inequality.
