Sentence examples for by using the binomial from inspiring English sources

where (38) is obtained by using the binomial theorem and the help of (19).

Any Bernstein polynomial of degree n can be written in terms of the power basis directly calculated by using the binomial expansion of 1-x ^{n-i}i}) as follows: B_{i,n}(x)= sum_{j=i}^{n} (-1-x ^{n-i}inom{n}{i} binom{n-i}{j-i} x^{j},quad i=0,ldots,n.

By using the binomial theorem, E 2 X g n = ∫ 0 1 F - 1 1 - u n p Q Y u r Q Y u du = ∑ i = 0 n - 1 i n i 2 m f n - i ∫ 0 1 F - 1 u i p Q Y u r Q Y u du, = ∑ i = 0 n - 1 i n i 2 m f n - i E 1 X g i. □.

Ninety-five perconfidencedence intervals (CI) of proportions were estimated by using the binomial exact method.

Ninety-five perconfidencedence intervals (CIs) for proportions of susceptibility were calculated by using the binomial method.

Then, the probability of neutral replication is obtained (by using the binomial approximation) as where d = v + δ.

Results were also stratified by World Bank income category [ 10] and analyzed by outcome using the binomial exact test because our sample sizes were small.

We tested whether significantly more subjects turned their head to one side than expected by chance, using the Binomial test (e.g. [13], [27]).

We then again tested whether significantly more subjects turned their head to one side than expected by chance, using the Binomial test.

For example, the mean deviations of the GW-SL distribution are determined immediately (by using the generalized binomial expansion) from the function begin{array}rcl@ T_{k+1} z)=frac{1}{Gamma z)}sum_{m=0}^{infty} frac { -1)^{ -1Gamma(k+m+1),left[1-exp(-m z)right]}{(m+1)!}.

BayesPeak addresses this issue by using the negative binomial distribution.