Sentence examples for two explicit expressions of from inspiring English sources

Two explicit expressions of the stochastic oscillatory integral with such Wiener functional as phase function are given; one is of infinite product type and the other is of Lévy's formula type.

By adopting the method of recurrences, two explicit expressions have been established for sums of products of the degenerate Euler polynomials and the degenerate Bernoulli polynomials.

Validation of the two explicit expressions is performed by both comparison to experimental data and comparison with validated numerical simulations.

Two proposals to simplify the explicit expressions of the model's response behavior are given.

Tang and Yang [6] found general explicit expressions of the two wave solutions for (1) by using bifurcation phase portraits of the traveling wave system.

Explicit expressions of the yield strength are derived for the four types of honeycombs.

In this paper, we first derive two explicit mathematical expressions of bit error rates (BERs) with Rayleigh fading for differential phase shift keying (DPSK) and quadrature amplitude modulation (QAM), and establish corresponding simulation models to realize the effect of Rayleigh fading.

The aim of this research paper is to find explicit expressions of.

We obtain explicit expressions of the moment-generating function and higher moments of the discounted dividends.

Furthermore, it is difficult to obtain the explicit expressions of the solutions by this method.

The explicit expressions of the different derivatives are detailed in Appendix II.