Sentence examples for distribution relation from inspiring English sources

Specifically, we generate N times n synthetic random magnitudes m i, i = 1, …, n, distributed according to the GEV distribution (relation (4)).

The optimal distribution relation of the heat-transfer surface areas is also obtained.

Theorem 2.4 (Distribution relation for ).

The first author et al. [6] obtained the distribution relation for the Genocchi polynomials.

Therefore, by (12), we obtain the following distribution relation for a Barnes-type Bernoulli polynomial.

Then the distribution relation of the generalized twisted -Euler polynomials is given by as follows (cf. [14]): (2.16).

For TM polarization, the mode distribution, the permittivity distribution, and dispersion relation were obtained by numerically solving the Maxwell equations.

Furthermore, we find distribution relations of generalized twisted Euler numbers and polynomials.

We obtain distribution relations for the -Euler polynomials, and have some identities involving the -Euler numbers and polynomials.

We obtain distribution relations for the -Euler polynomials and have some identities involving -Euler numbers and polynomials.

Thus, the distribution relations for the Genocchi numbers and the Genocchi polynomials for with are obtained as follows (cf. [6]): (3.11).