Sentence examples for by the binomial formula from inspiring English sources

When it happens that (left| mathbf {a} right| in mathbb {N}_{0}) expansion by the binomial formula and application of the Cauchy integral formula completes the proof of Theorem 1.

The approximation of the binomial formula by the normal distribution is guaranteed by the Central Limit Theorem.

The Sign test uses the binomial formula to check whether min{x, N-x} would have been expected to have occurred by chance if the two possible outcomes were equally likely; if this is not the case then we can assume that the two methods are significantly different (two-tailed test) or that one method is significantly better than the other (one-tailed test).

The relationship between the reaction rate and the shear rate can be expressed by a binomial formula which can predict the surface reaction rate.

If even one of these two sets, LSCC or CCC, is random, the expected number of common elements would be smaller than 13 (49 × 64/254) and the probability of |LSCC ∩ CCC| ≥ 27 would be below 10-6 (estimated by binomial formula).

Applying Newton's binomial formula to the left-hand-side of (14) yields the left-hand-side of (13).

Forced outage rates are modelled by the Binomial distribution [30].

The estimated frequencies determined by the binomial distribution, while better than those from the Poisson and negative binomial models, still deviate considerably in comparison to the sCMP class.

Playing one million times is modelled by the binomial distribution, which is closely related to the binomial theorem.

The P-value calculated by the binomial statistic and Bonferroni-corrected was used.

Significance of enrichment is quantified by the binomial exact test calculated according to equation (3).