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A previously developed perturbation method is generalized for computing the simplest normal form (at each level of computation, the minimum number of terms are retained) of general n-dimensional differential equations.
Besides skipping the SVD at each sampling instant, the proposed on-line OKID method directly realizes the identified parameters in the observer-canonical form, without involving the conversion of the identified model in general coordinates into the observer-canonical form at each sampling instant; this speeds up the identification process.
Data are entered into a standardized electronic form at each respective trauma center by trained personnel from medical records upon discharge of a patient.
The basic idea of a multisymplectic integrator is that the numerical scheme is designed to preserve the multisymplectic form at each time step [17].
The perturbation (P_{l}) satisfying ((3.0)_{l}) is used to guarantee that the normal form at each KAM step has the same form as in the first step.
While many extensions to this model class exist, all members share the same basic form: At each time-step, a node is sampled from the network with probability proportional to its degree, a new node is introduced to the network, and an edge is added from the new node to the sampled node.
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An hour before the doors opened, lines 400 deep formed at each main door of the Moscone Center.
The cytoplasm then cleaves and three cells are formed at each pole, leaving two nuclei in a large central cell.
Then limit-state functions are formed at each of the critical frequencies by subtracting the respective dynamic performance measure from the critical amplitude.
In the case of elliptic PDEs, one algebraic equation is formed at each interior node, and the obtained final system, of which each row has 5 non-zero entries, is solved iteratively using a Picard scheme.
A preconditioned Krylov subspace method (GMRES) is used to solve the linear systems of equations formed at each time-integration step of the unsteady, two-dimensional, compressible Navier-Stokes equations of fluid flow.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com