Sentence examples for number derivation from inspiring English sources

To obtain allele-specific copy number estimates, we combine LogR data l R (derived from local NGS read depth) with the haplotype frequency equation above, and build upon the model for allele-specific copy number derivation described previously (Van Loo et al., 2010 ): n A = ρ − 1 + (1 − h f ) ψ 2 l R ρ n B = ρ − 1 + h f ψ 2 l R ρ.

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.

With adequate patient numbers for derivation and validation of a prediction rule, a novel dynamic scoring system that includes other factors (for example, age, lactate) that are not incorporated into the SOFA score could be derived to reflect accurately characteristics that may not be shared between critically ill patients listed for LT and other critically ill populations.

The daily increase in cell number (1. derivation of the regression curve) was then calculated based on the regression.

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

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

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.

It is then shown that if transfinite induction to an ordinal number is derivable, this ordinal number cannot be greater than the value of the derivation.

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).