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By solving this set of equations, the necessary changes in design parameters are calculated, in order to achieve predefined simultaneous shifts in natural frequencies and buckling loads.
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By solving this second data set, our GATSHM attains the same results obtained by some approaches such as in the MK01 for LEGA, MATSLO and TS3; in the MK02 for MATSPSO; in the MK03 for TS3, BBO and Heuristic; in the MK04 for BBO; in the MK05 for TS3 and BBO; in the MK07 for BBO and TS3; and in the MK08 for all the algorithms only it is not the case for the Heuristic.
In addition, by solving this first data set, our GATSHM attains the same results obtained by the chosen approaches such as in the case 1 for LEGA, BBO, Hybrid NSGA-II, and Heuristic; in the case 2 for MOPSOLS and BBO; in the case 3 for LEGA; in the case 4 for all the algorithms; and in the case 5 for MOPSOLS and Hybrid NSGA-II.
this steady state probability is given by solving the set of balance equations[20].
Results are obtained by solving the set of governing equations using suitable numerical methods.
Exact solutions of NLPDEs can be obtained by solving the set of algebraic equations.
By solving the set of equations, all the nine bits can be recovered.
In case an optimum rate assignment that solves (P1) can be obtained by solving the set of linear equations: (33).
This is possible by solving a set of coupled rate equitation's by including all the atomic processes at a particular condition.
This is done by solving a set of coupled rate equations for the number of levels of the ionization stage i.
The solution to this optimization problem is obtained by solving a set of simultaneous equations given by first-order optimality conditions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com