Sentence examples for third sum from inspiring English sources

where (Y_{k}^{SIG}), (Y_{k}^{IF}) and (Y_{k}^{ISI}) are the first, second and third sum terms of Eq. (22), respectively.

The most dangerous term considering aliasing is obtained for k = − N / 2 and k 1 = − N / 2 (respectively k = N / 2 and k 1 = N / 2 ) in the second (respectively third) sum of Equation 26.

If the second footprint is eij-transition type, then the equation has two sum terms in the denominator if the first transition is ii or jj transition, and a third sum contribution (the term with " ") if the first transition is an ee-transition: In what follows, dimer notation is used on footprints, since we are interested in the footprint-to-footprint transitions.

The first sum on the right-hand side of the equation stands for the shape variation among individuals, the second sum stands for directional asymmetry, and the third sum stands for fluctuating asymmetry.

Note that for every v ∈ ℝ, we have (5) where the third sum is over values x ∈ { 0, 1,…, (n − 1) U} such that and p*, n \ i is the distribution of scores of ∑ j ≠ i w(b j, j) of the PWM with i-th column neglected, which can be easily computed by a straightforward adaptation of the recurrence (3).

Similarly, the second sum equals E(Y).

Hence, If the first sum on the right-hand side is summed over j while holding i fixed, by equation (8) the result is which by definition is E(X).

During cross-examination on the ninth day of the trial, Redknapp repeatedly insisted that despite what he had told Beasley, the first sum paid into the Monaco account was a personal investment.

Second, sum of the integrated results yields the total power.

We have got the second sum in (13).

By (4.37) and (4.7), the second sum is bounded by.