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In the present LW/SE method, the layerwise theory was used to model the behavior of the composite laminated cylindrical shells, and the eight-noded solid element is employed to discrete the stiffeners.
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The latter is employed to define suitable discrete notions of the mean and Gaussian curvatures.
Spring-based finite elements are employed to simulate the discrete geometric structure and behavior of each single-walled carbon nanotube.
A C0 continuous isoparametric serendipity element is employed to solve the discrete eigenvalue equations arising in both the problems.
Within this approach, Generalized Disjunctive Programming (GDP) is employed to model the discrete decisions (number and identities of mixture ingredients) in the problems.
A spectral-Tchebychev method is employed to derive the discrete governing equation and to solve the dynamic characteristics of the beam.
Then an efficient singular value decomposition (SVD) method modified from a fast Poisson solver is employed to project the discrete singular equation into the orthogonal complement of the null space of the singular matrix.
Scenario reduction methods, e.g., fast forward reduction [22], moment based reduction [23], and particle swarm algorithms [24], are employed to select representative discrete scenarios and bundle corresponding probabilities with the purpose of decreasing the computation load.
To discover which proteins exhibited similar expression profiles during CRC progression, self-organizing maps (SOM) were employed to present a discrete representation of the input space of the protein expression values.
The Takagi and Sugeno (T S) fuzzy model is employed to represent a discrete-time nonlinear system with parametric uncertainties.
The Takagi and Sugeno (T S) fuzzy model is employed to represent a discrete-time nonlinear system with state delay.
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