Sentence examples for relation can be obtained from inspiring English sources

If, in addition, the Earth is uniform, a time-domain integral relation can be obtained, which easily allows for the use of magnetic observatory data to derive the GIC (e.g., Pirjola 2002; Ngwira et al. 2011; Torta et al. 2012).

Using the same approach as for (37), a closed-form relation can be obtained for the system time by using a queue model with an exceptional completion time X e for the first packet which initiates a busy period[9].

Thus, by substituting (26) in (22), the following relation can be obtained: v n + 1 = v n - x n ∥ x n ∥ A 2 [ e a n A - e p n A ]. (29).

Pure formulas correspond to first-order conditions on the accessibility relation (cf. the translation STa above), so axiom systems for new hybrid logics with first-order conditions on the accessibility relation can be obtained in a uniform way simply by adding axioms as appropriate.

Once we obtain the effective hopping parameter t ~ 1, the standard energy-momentum relation can be obtained directly as [1] E ( k x, k y ) = ± t ~ 1 1 + 4 cos ( 3 2 k x a ) cos ( 1 2 k y a ) + 4 cos 2 ( 1 2 k y a ), (5).

Specifically, the dynamical Gibbs-Thompson relation can be obtained by requiring the bulk and interfacial entropy production to be non-negative independently and assuming a linear relationship between the normal interface velocity (the normal fluxes at the interface) and the corresponding driving thermodynamic forces (El-Azab et al., 2014; Hochrainer & El-Azab, 2015).

The other relations can be obtained similarly.

From (29) and (30), several known and new recurrence relations can be obtained.

Accurate frequency maximum deflection relations can be obtained for the fundamental and higher non-linear modes.

The band structures or dispersion relations can be obtained by solving the eigenvalue problem and sweeping the boundary of the irreducible first Brillouin zone.

It will be shown in the results that by using the multi-objective optimization approach, very important relations can be obtained which can be used in the thermal design of fluid flow in helically corrugated tubes.