Sentence examples for by applying the binomial from inspiring English sources

Finally, the lemma follows by extending the summation through index b in the term A2k+1 to a full range from 0 to n+k+3, by applying the binomial theorem and some simple rearrangement of the terms.

In addition, we tested for the effect of time, space and their interaction on a frequency of a certain taxon (against the frequency of all other taxa in a given sample), by applying the binomial GLM in R. For the model selection, we used a backward elimination procedure, removing the least significant factors (P > 0.15) from a parameter-rich model.

The step (a) is obtained by applying the Newton binomial theorem.

In the last section, we provide numerical result applying the binomial method.

The number of metastases formed is described by a binomial distribution, which is approximated by applying the Poisson limit theorem.

Here we show how one can obtain further interesting identities about certain finite series involving binomial coefficients, harmonic numbers and generalized harmonic numbers by applying the usual differential operator to a known identity.

PANTHER uses pathways compiled by experts and determines the representation of a specific pathway on the selected gene list by applying a binomial statistic to which we applied an additional false discovery rate (FDR) test.

We tested the significance of this occurrence by applying a binomial distribution test and p0 = 0.33 (cf. Methods) to all predictions (Table 2).

Initial analyses involved revisiting previously identified risk factors by applying negative binomial regression methodology, as already described (3), to the new data.

11 By applying binomial regression on the response to these items obtained from half of the aforementioned cohort of Danish patients, the five questions (with at least one question representing each of the four known LARS symptom categories, namely incontinence, frequency, urgency and emptying difficulties) showing the highest prevalence and impact on QOL were identified.

This paper transcends the endogeneity problem by applying multiple negative binomial regression analyses, as explained in the following section.