Sentence examples for by using a relation from inspiring English sources

Numerical solution of the fractional-order Lotka-Volterra system (3.9) is given by using a relation (2.22) as (3.10).

By using a relation (2.14) we obtained a first-order approximation of the fractional derivative of order.

We are also able to predict, by interpolation, release curves from microspheres made of intermediate, untested ratios of PLA by using a relation between two model parameters.

Then, the exchange enthalpy X12 and entropy Q12 parameters were determined by using a relation for the enthalpy interaction parameter χh of the equation-of-state theory, which is arranged for the inverse gas chromatography conditions.

Those for 5 out of 19 are estimated by using a Σ−D relation.

The system is appropriately truncated and numerically solved by using a recursive relation, which involves the unknown coefficients of two successive rings.

In order to compare flexibility of the specimens flexural tests were conducted and the data were evaluated numerically by using a derived relation.

Proceeding with these assumptions, by using a 1 1 relation, and according to a Student t test with an α level of 0.05 and a β level of 0.15, we estimated that we would need to enroll 184 subjects: 92 patients and 92 controls.

By using an analogous relation obtained by interchanging the roles of x and y, we get h ( N ( x ), N ( y ) ) ≤ λ ∥ x − y ∥.

By using an empirical relation between the Vp and the density (Brocher 2005), we created a sediment-to-mantle density profile (Fig. 9a).

aThere is an alternative way of deriving the RA estimate, by using an indifference relation involving a Euro 500 deductible and the required compensation in the same way as the Arrow-Pratt formula is derived (Fred Schroyen, private correspondence).