Sentence examples for using the binomial expansion from inspiring English sources

Using the binomial expansion for we obtain (A2).

Again, using the binomial expansion for we obtain (A5).

Consequently, using the binomial expansion, we can obtain the CDF of (gamma _{min {mathcal {R}}}).

Using the binomial expansion, having P out 22 − 2 = 1 P P ω α D M exp N 0 P p ω α D ∑ n 1 = 0 M − 1 − N 0 n 1 n 1 !

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.

Using the binomial expansions of the expressions begin{array}rcl@ left[!1-left(!1- theta/x)^{alpha}!right) left(!1- theta/xtheta/x)^{alpha}!right) !right]^{b-1}, quad left(!1+lambda/x)^{alpha}!rightheta/x1)a-1}~~ text{and} quad left(1+lambda (theta/x)^{alpha}right)^{(k+1)a-1}, end{aright.

The option is analysed using the binomial decision tree.

However, the results of considering managerial flexibility using the binomial model show that the uncertainty generates value for the project.

We therefore modeled the data using the Binomial distribution.

These P-values are computed using the binomial distribution.

For each hypothesis a likelihood is calculated based on the observed data using the binomial distribution.