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The modal characteristics of the pipe vibrations have been obtained by solving the generalized eigenvalue problem.
A solution of the flow network problem arising from a plate column fitted with an external manifold has been obtained by solving the mass and energy equations.
A Pareto front has been obtained by solving MOO problem, and then net flow method is used to identify some optimal solutions from the Pareto front for the implementation into next phase.
The expressions of potential and Electric Field of the gate engineered MOSFET structure have been obtained by solving the 2-D Poisson's equation in subthreshold regime using a parabolic potential approximation considering effective conduction path effect (ECPE).
The solution has been obtained by solving an enlarged system that includes an additional equation for the bottom geometry and then using the principles of conservation of mass and momentum across the step.
In particular, in the latter case, the stochastic input has been assumed to be a delta-correlated process and, by using Kronecker algebra extensively, cumulant sensitivities of order higher than two have been obtained by solving sets of algebraic or differential equations for stationary and non-stationary input, respectively.
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He showed that the rest are obtained by solving a succession of four quadratic equations.
Therefore, our numerical results are obtained by solving the Bloch equations directly.
Fluid dynamics are obtained by solving the Navier Stokes equations.
This regulator is obtained by solving a linear quadratic problem.
The adhesive stresses are obtained by solving the equilibrium equations.
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