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This equation is derived automatically by symbolic computations which also enables us to automatically generate some FORTRAN subroutines needed for the analysis within the framework of the catastrophe theory.
This equation is derived from the orbital record of ALOS-2.
This equation is derived from the basic relation, \((S - \sigma) \times dt = d\sigma\) (SW IV: 339); Boudewijnse, et al. 1999, present it as: \(d\sigma/dt = (S - \sigma)\).
This equation is derived in various physical contexts assuming that the solitary wave is moving along x- and all changes in y- directions are slower than in the direction of motion.
This equation is derived from our simple theoretical model of labour demand and labour supply described in Section 3. The key model equation that informs our empirical specification is 8.
For applying Eq. (6), one point should be kept in mind: This equation is derived by ignoring the convection heat transfer; however, due to 'wellbore storage' phenomenon, the effect of this type of heat transfer becomes more important, especially in early period of shutting the well.
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This equation was derived recently for describing the mean field dynamics of boson stars.
This equation was derived originally by Bartell and Osterhof [Ind. Eng. Chem. 19 (11 1927 1277]77] and applied more recently by Zhou and Blunt [J. Contam. Hydrol. 25 (1997)].
This equation was derived in [11] as the limit dynamics of a singularly perturbed Navier Stokes Korteweg system with Coriolis force, when the Mach, Rossby and Weber numbers go to zero at the same rate.
This equation was derived by Pakula and Fischer (1981).
Finally, the conservation laws of this equation are derived by using its linear spectral problem.
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