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There are many techniques for empirical modeling and approximation of values of unknown functions.
This chapter discusses the role and importance of empirical modeling and approximation.
Over the past few decades, fuzzy logic systems have been used for nonlinear modeling and approximation in many fields ranging from engineering to science.
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The resulting optimization model and approximation methodology were applied to a real oilfield with the aim of assessing their effectiveness.
We have previously introduced a matrix-based modelling and approximation framework, and showed that it provides a quantitative and efficient means for scoring genetic interactions among thousands of genes, thereby leading to improved detection of both positive and negative pairs of interactions in large-scale quantitative screening experiments [ 31, 34].
The excellent agreement between the simulation and numerical results demonstrates the validity of the statistical models and approximations.
Prior algorithms have been based on special models and approximations with no consistent method for computing coefficients in general cases.
The predicted efficiency is in reasonably good agreement with experimental data from the literature and, hence, served to validate the physics models and approximations employed.
The purpose of this work is to couple different numerical models and approximations for the calculation of high speed external flows governed by the compressible Navier-Stokes equations.
In the context of the above-described model and approximations for a quasi-zero-dimensional system, the Hamiltonian of the EHP is H = − ħ 2 2 m e Δ e − ħ 2 2 m h Δ h + V eh r e, r h + U r e, r h, a + E g, Open image in new window (4).
However complex problems may entitle intractable models, and approximations of the biological scenario become a prerogative.
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