Sentence examples for binomial formula can be from inspiring English sources

In order to simplify this equation, the Newton's binomial formula can be applied: (Z+Y)^{N_{i}(l)}=sum_{j=0}^{N_{i}(l)} {N_{i}(l) choose j} cdot Z^{j} cdot Y^{N_{i}(l -j}.

Notice that the formula can be simplified to a well-known binomial tail probability if all are the same.

The second formula can be proved likewise.

The second formula can be proved similarly.

An explanation of this formula can be found in [13].

This formula can be used for estimating the model parameters.

The formulas can be obvious.

These formulae can be applied to any kind of data.

Alternatively, kinetic formulas can be assigned separately to each reaction.

Unlike the binomial distribution, the beta binomial can be convex as well as concave.

Formula 11 can be expressed as formula 12 using formula 9.