Sentence examples for gave the generating from inspiring English sources

By using the -Volkenborn integration on, he constructed the -adic -Euler numbers and polynomials of higher order and gave the generating function of these numbers and the Euler - -function.

Keeping the data set size constant approximately equalises the entropy of the data given the generating model as illustrated in Additional file 1: Figure S9.

Given the generated plan, the robot will first approach the door N6 to open it.

Given the generated ETU channel, time-delay errors are computed in the absence of AWG noise using the 1D- and 2D-JML estimators.

It determines if the eigenvalue observed in the data is truly significant, given the generated random data.

Given the generated idealized structures { P i }, we need a scoring function S B B (P i ) to find the optimal idealized structure.

By (2.9) and (2.10), one can give the generating function for the generalized -Bernoulli polynomials attached to as follows: (2.11).

We first give the generating function for (S_{n,k}).

Finally, we give the generating function for these -Euler polynomials of higher order.

Thanks to this definition, we give the generating function for ((p,q -Bernstein polynomials.

The right hand side of the above equation gives us the generating function for the Bernoulli numbers (B_{n}).