Sentence examples for using an empirical relations from inspiring English sources

The effect of turbulence radiation interaction (TRI) is included using an empirical relations for emission enhancement.

Placement of vegetation zones was determined using an empirical relation for equilibrium meander wavelength based on the imposed flow rate.

Using an empirical relation [5], we can estimate from the first excitonic absorption peak a 2.7 nm particle size.

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

Upon evaluating Eq. (1), the densities were calculated by converting the P-wave velocities (Matsubara et al., 2008) using an empirical relation by Christensen and Mooney (1995).

Further, using an empirical relation between Dr and normalized standard penetration test values, (N1 60: D_{r} = 15(N_{1} )_{60}^{ - 1.25} (4).

The estimated energy of (sim 1.15 kt ± 0.24 kt is lower than the 3.9 kt reported by the JPL using an empirical relation where the total impact energy is calculated given the optical radiant energy (Brown et al. 2002): begin{aligned} E = 8.2508*E_0^{0.885} end{aligned} (2 where E (_0) is the total radiated energy.

We utilize a simpler method of first calculating the second fractal dimension (D2) through image analysis and then approximating D3 using an empirical relation.

Assuming a turbulent boundary layer flow over the surface of the swimmer's body, Gray used an empirical relation for drag that was based on a hydrodynamic model for flow over a rigid, flat plate to estimate drag on the swimmer.

▪ Extended shallow planar soil slide: When it was difficult to measure the slide thickness on the field, we used an empirical relation (Hovius et al., 1997): V = 0.05 × S1.5 (with S the landslide surface and V the landslide volume).

Next, based on the suggested rupture areas of historical earthquakes around the coring sites, we roughly estimated the peak ground acceleration (PGA) at the possible source zone of the turbidity currents resulting in the turbidites in the two cores (Fig. 1A) using an empirical attenuation relation commonly used in Japan (Additional file 7: Table S3; Si and Midorikawa 1999).