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Specifically, we show how equilibria can be found by solving a system of polynomial equations.
The controller can be designed by solving a system of three coupled Riccati equations.
The analytical solutions of the local problems are obtained by solving a system of partial differential equations.
Each periodic particle in this method travels along a characteristic curve of the shallow-water wave model, determined by solving a system of nonlinear integro-differential equations.
Our approach is exhibited by solving a system of two-dimensional problems which exhibits pattern formation and has applications in cell-division.
Stability analysis of the observer bank is analyzed using a Lyapunov theorem, which allows deriving sufficient stability conditions by solving a system of Linear Matrix Inequalities (LMIs).
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So, coefficients in ARIMA models that include lagged errors must be estimated by nonlinear optimization methods ("hill-climbing") rather than by just solving a system of equations.
This method makes use of the wake velocities and particle trajectories obtained by numerically solving a system of ordinary differential equations.
This new formulation is nor sequential nor iterative, doesn't require use of Laplace or Fourier transform and provides a g-function by solving a single system of linear equations assembled in a block matrix system.
The dependent velocities are determined by solving a linear system of algebraic equations.
In order to impose the non-slip boundary condition, the forcing term is determined implicitly by solving a linear system.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com