Sentence examples for basis we consider from inspiring English sources

Given a Banach space X with an unconditional basis, we consider the following question: does the identity operator on X factor through every operator on X with large diagonal relative to the unconditional basis?

On this basis we consider the isothermal compressibility KT (KT = (∂ ln ρ/∂ ln P T = −V−1 ∂V/∂P T) in the same P and T intervals previously reported for ρ(T, P). Figure 2 shows the literature data of KT T, P 16,18,19,23,25,26,27, which, as is well-known, is related to volume fluctuations δV as KT = 〈δV2〉P,T/kBTV.

"On that basis, we consider that retention of tuition fees for students, based on residence in the rest of the UK, is an appropriate and necessary measure to ensure Scottish domiciled students continue to have access to higher education opportunities".

Since quantitation is somewhat time-consuming we would therefore not necessarily recommend using both double-labelling with quantitative single-labelling on a routine basis: we consider double-labelling alone to be sufficient for everyday purposes.

On this basis, we considered weeping trait as a marker (marker0) and calculated the recombination rate of marker0 with other markers.

On this basis, we considered that searching for EGFR alterations in gastric cancer might have been important to identify therapy susceptible cases.

On this basis we considered that only one-third (N = 11) of the papers in our review were clearly identifiable as meta-ethnographies.

Because antihypertensive drugs are predominantly used on a daily basis, we considered the number of days corresponding to the number of DDDs dispensed the best proxy for the number of drug-exposed person-days.

Here, to study the effect of mutations on splicing and identify a correction strategy on an exon basis, we considered three genes relevant in human pathology, the coagulation F9, the Cystic Fibrosis Transmembrane Regulator (CFTR) and the SMN2 (Survival of Motoneuron 2), whose mutations are associated to coagulation factor IX (Haemophilia B), CF and spinal muscular atrophy (SMA), respectively.

and for is the piecewise linear and continuous function with nodes satisfying for all and From this Schauder basis we define the usual Schauder basis for We consider the bijective mapping ( denotes integer part) given by (2.2). and take, for each with, (2.3).

In order to use a reduced basis method, we consider an affine decomposition in terms of the parameter related to the friction coefficient and the wind measures at some given observation points.