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While the analytical calculation of the 2D sound field allows different angular cut-out widths and arbitrarily positioned line sources, the computational cost associated with the solution of this problem is similar to a 1D problem because of a modal formulation of the sound field in the PAC-MAN model.
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where K ( 1 ) is an integration constant associated with the solution of the previous equation.
where K ( 2 ) is an integration constant associated with the solution of the previous differential equation.
These will take a back seat to the good feelings associated with the solution of a very important but secondary problem.
This approach is able to overcome most of the difficulties associated with the solution of mixture design problems.
According to Lemmas 2.3 2.5, the semiflow associated with the solution of problem (1.1)–(1.3), namely, the map (3.1).
Finally, the limitations associated with the solution are discussed.
However, the systematic error associated with the approximate solution is involved with the limited situations of parameters β and γ.
Map view of HypoDD hypocentral relocations (open circles) associated with the focal mechanism solutions of ten events.
This peak is associated with the formation of the solid solution, in mechanical alloys.
The quantity of interest (QoI) associated with a solution of a partial differential equation (PDE) is not, in general, the solution itself, but a functional of the solution.
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