Sentence examples for formulae is obtained from inspiring English sources

In Appendix A.2, it is shown that by conditioning the mean elevation angle, (North Pole), a different spherical harmonic coefficient formulae is obtained.

Closed-form formulae are obtained for the effective properties.

Closed asymptotic formulae are obtained for all hydrodynamic coefficients for heave, sway and roll motions.

The equations are then applied to a hyperboloidal shell, and the corresponding formulae are obtained.

Explicit formulae are obtained for both the elastic properties and the thermal expansion coefficients of the equivalent inclusion.

The stochastic finite element formulae are obtained by Neumann stochastic finite element method (NSFEM), and the stochastic finite element program is compiled by Matrix Laboratory (MATLAB) software.

In this paper, new formulae are obtained for partial differential and G-S equations, magnetic fields, and current densities that are special on elongated cross section.

Explicit formulae are derived for the special case of a sharp bend, and particularly simple formulae are obtained for small bend angles.

Additionally simple approximate formulae are obtained for a number of important modes of chromatography; chromatograms are simulated for model mixtures of polydisperse non-functional and functional polymers.

Tables 3 and 4 list formulae for the estimation of Dst that were derived from extensive Wind MC data sets [Dstmin formulae were obtained from Tables 6, 7, and 8 of Wu and Lepping (2016)].

However, due to the complexity of the HNK+ATC, the amount of AA-I could be quantified only in the ATC sample as 0.24 %w/w, and the amount of AA-I in the formulae was obtained from calculation.