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If a problem cannot be solved in the present, Blair urges, manage it until it can be solved.
Both issues are fully solved in the present note for the complete infinite-dimensional system.
These equations were established previously and are solved in the present article by Galerkin's variational method.
The use of active compensators raises the issue of ensuring stability of the design, a point left open in our previous work, that is fully solved in the present note.
A three-dimensional inverse design problem in estimating the design variables for heat sink modules with an encapsulated chip is solved in the present study by using the Levenberg Marquardt Method (LMM) and the general purpose commercial code CFD-ACE+ in an irregular domain.
The unknown parameters that needed to be solved in the present study were the Na2O/Al2O3 (n), SiO2/Al2O3 (x), and H2O/Al2O3 (y) ratios in the polymer product formed due to the alkali activation of fly ash and the Ca/Si ratio in the case of slag.
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The case where all components of the mixture are absorbed is still not completely solved in the framework of the present approach.
Note that despite the fact that the case n = 2 is solved in the previous section, the new material presented below extends the solution to all the cases.
Fortunately, this problem is solved experimentally in the present study with the use of a strong cooling water layer and ambient air.
The governing integro-differential equations are transferred into a set of ordinary differential equations, which can be solved analytically in the present study.
The dual of the minimization problem is also formulated and is solved in order to present the statics (thrust curve, locus of feasible internal reactions, etc). of the reinforced arch as a consequence of the kinematical assumptions used in the primal minimization problem.
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