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Most engineering optimization algorithms are based on numerical linear and nonlinear programming methods that require substantial gradient information and usually seek to improve the solution in the neighborhood of a starting point.
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Based on numerical analysis, the non-linear analysis model of steel MRF with opening in beam web is provided.
Based on numerical simulation, we theoretically study the linear and nonlinear properties of microstructured fiber.
This is a thoroughly non-linear problem and has received substantial recent attention, especially using techniques based on numerical simulation.
The acquisition price represents an 89.2percentt premium, based on Numerical's closing price of $3.70 a share on Friday.
Perturbation analysis based on numerical simulations.
Monotonicity is, as yet, only known based on numerical simulations.
These procedures are based on numerical simulation techniques.
Finally, the resulting performance is illustrated based on numerical simulations.
Numerical results based on numerical simulation can provide quantitative assessment of understanding of the performance indices.
This recent perception of the elimination of poverty is based on numerical thresholds.
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