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By decomposing the transverse displacement field of the beam over the basis of a set of Mexican hat wavelets, the extremalization of the Hamiltonian via Lagrange׳s equation yields a set of linear equations, which can be solved for structural responses.
Plugging the 12 candidates into the equation yields the solutions −2/3, 1, and 3.
Plugging this into Einstein's equation yields his rough estimate of 10^ 18 grams.
Then, the heat conduction equation yields the temperature distribution.
The equation yields celerities in reasonable agreement with those for cnoidal waves in intermediate water depths.
This model combined with the Hertz equation yields more accurate values of the contact stress.
In all cases Langmuir equation yields better fits than Freundlich equation.
Velocity is the time rate of change of position S, and, consequently, integration of the velocity equation yields S = 1/2gt2.
The addition of the mixing term in this simple additive equation yields better predictions.
Solving this equation yields a lognormal distribution with seasonally dependent parameters.
The solution of this equation yields the fundamental frequency of the composite lattice cylinder under consideration.
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