Sentence examples for used to construct examples from inspiring English sources

This result is used to construct examples ofC*-algebras which are generated by 2 idempotents but not 2 projections.

So, we would like to point out that Theorems 3.1 and 3.2 can be used to construct examples of division algebras over the function fields of curves with infinitely generated fields of constants having finite genus.

This characterization is used to construct new examples.

Similar arguments based on the topological structure of fixed points sets of set-valued maps can be used to construct other examples of functions whose level sets are retracts of sorts.

This result is used to construct an example of a Z-analytic triangular UHF algebra with nonproduct type counting cocycle, which shows that a locally constant cocycle is not necessarily of product type.

Importantly, these attenuators were also used to construct the first example of an RNA-only network, a two stage transcriptional cascade, whereby signals were propagated directly as RNA molecules with no intermediate protein signals.

Predictive ability was improved at lower TP sizes only when a MAF > 0.30 was used to construct G. For example, using a MAF > 0.05 and TP size of 50, was only 0.28, but when a MAF > 0.30 was used, was increased to 0.47.

One approach is to require a minimum number for the raw reads that were used to construct the sequence (for example, two).

The first is the molecular display program JSmol [26] we used to construct a demonstrator [27] for examples 1 8 (Table 1) and illustrated for example 6 in Figure 1.

Although the CA-19-9 antestn tost to diagnose pancreatic cancer (used to construct Figure 1) is an example of continuous data, it is also possible to construct similar graphs for categorical test results providing that the number of categories is reasonably large.

We here present an example when an AFT model was used to construct an ITR for treatment of HIV [ 40].