Sentence examples for instance we consider the from inspiring English sources

As an instance we consider the following Ky Fan best approximation theorem.

For instance, we consider the case when (w_1 in E^*_{j}), (w_2 in E^*_{k}) and (w_3in E^*_l) for distinct j, k, l.

For instance, we consider the prior probability of each base for the calculation of the positional weight and information content.

In the first instance, we consider the context free grammar complexity introduced by Jiménez-Montaño [ 60] (a description is given in Appendix One).

More precisely, if, for instance, we consider the Robinson-Foulds distance on phylogenetic trees [ 29], it is evident that the NCBI taxonomy tree shares four of its five clusters with the phylogenetic tree derived by using MP-Align.

We underline that the aforementioned threshold can be chosen according to different parameters, for instance we considered the estimated volatility of the time series.

In this instance we considered the potential influence to be negligible because the two mainland subspecies differed in SVL by less than 8 mm (Table 1); thus, we included all island populations in the regression models.

In the first instance, we considered the hypothesis of right lung hypoplasia, following bronchoscopy findings.

In a first instance, we considered the mucosa alone, on top of a Lambertian representing the submucosa and all underlying layers (see Fig. 3a).

For instance we considered the relative protection at age 17 18 to be as high as 90% or as low as 50%.

For example, we consider the instance of a batch sizing problem with 105 jobs, S = 241 and p = 100.