Sentence examples for number of derivation from inspiring English sources

To prove unambiguity, we translate Ĝ sto into a system of equations for its structure generating function (see [ 47] for details) S [ z ] = ∑ w ∈ L d (w ) z | w | where d(w) denotes the number of derivation trees Ĝ sto offers for w.

Eliminating all but the variable associated with the axiom and simplifying (for this step we made use of Mathematica) yields the single equation − z 5 + S [ z ] (− 1 + z ) (− 1 + z (2 − S [ z ] (− 1 + z ) z + z 4 ) ) = 0 This equation is exactly the one of our grammar G s from Example 0.3 which proves that for all n both grammars have the same number of derivation trees for words of size n.

First, we show how to compute the number of derivations of various costs.

The reconstruction process is restricted to a fixed, but arbitrary, number k of derivation steps.

For instance, skin cells could be biopsied from patients and control groups, reprogrammed to pluripotent stem cells using any number of hiPSC derivation techniques, and differentiated to provide an isogenic supply of BMECs and neural cells to conduct CNS disease studies in vitro.

Hospital admissions (Table 2), measured in absolute numbers, rate of derivation by 1000 inhabitants and the average stay all decreased in both BZH with respect to the nephrology department.

Group sizes in Cetacea [see Additional file 5] appear to have been ancestrally small, but to have gradually increased in the lineage leading to the dolphins, with a number of independent derivations of societies with hundreds of individuals and some secondary reductions in group size (e.g., Cephalorhynchus spp, Orcaella and Orcinus Fig. 2).

The number of consultation visits to specialists for patients of both BZH shows a reduction of the number and rates of derivation in both, but this reduction is more pronounced in the BZH under study, where the intervention took place.

For this study, we determined the sample size needed to validate the derived model and plan to use an equal number of patients for the derivation phase.

Another advantage is that the derivation of the MAR model at the sensor space is much more robust, because of the moderate number of variables, than the derivation of the MAR model on projected time-series in a very large number of brain locations.

Utilizing this property of copy number data allows derivation of probable intervals of CNA that are less prone to noise degradation than alternative methods.