Sentence examples for been derived using the from inspiring English sources

A closed equation for the one-point probability density function (PDF) for FSD has been derived, using the functional derivative technique, together with the assumption that the convection velocity and flame stretch are homogeneous, isotropic, Gaussian random fields with many spatial scales and rapid oscillations in time.

Many distributions have been derived using the Pareto distribution.

An analytical formula for critical pressure has been derived using the generalised Galerkin method.

The equation of motion has been derived using the Newton's second law.

The natural frequencies of the aforementioned structures have been derived using the Lagrange Rayleigh Ritz technique.

The frequency equation of such a beam has been derived using the phase-closure principle.

Some useful expansions for (1) and (2) can be derived using the concept of exponentiated distributions.

The $9.61 million is derived using the current stock price and the Black-Scholes model for option valuation.

W is derived using the truncated method.

Data were derived using the Danger Assessment.

It was derived using the Bayesian paradigm (Rubin 1987 1996).