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The model is reduced to a one-dimensional form with the flame-sheet approximation applied for the reaction rate.
In contrast, we examine online learning and we provide a detailed analysis to assess the performance of sparse approximation applied to Markov models of wireless networks.
In the second case, a description of the liquid mixtures is developed within the Padé approximation applied to dipolar quadrupolar molecules.
The steady-state approximation applied to the reactive zwitterion intermediate for this mechanism was investigated and found to be valid for the range of parameters of this study.
As one would expect, the overall performance obtained from the BLUE estimator is not as good as that from the MLE due to the linear approximation applied on the observation model in (17).
Section 'Perturbation analysis and performance bounds' discusses the stability of sparse approximation applied in our context and characterizes the performance of the learning algorithm in terms of how the number of state observations grows with the network size.
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The same approximation applies to hearing voices (or is that the brain, not the ears?) being at a hearing, to hear from someone (by letter or email), or indeed the phrase "Hear!
Nevertheless, the steps outlined in our work (using a few-level approximation, applying the shortcut technique, and then mapping everything back to a continuous model) can in principle be applied to any trap configuration.
In contrast, the analysis showed that the form of the transport equation of mean momentum obtained and used classically when the Boussinesq approximation applies could still be used in the present case, consistently with earlier observations in the atmosphere.
A first optimization energy procedure was performed in the framework of the molecular mechanics approximation applying the CVFF Force Field [16, 17] which is enclosed in the Materials Studio package [18].
Finally, the KW approximation applies to the plane irrespective of the grid-cell resolution when upstream contributions are considered in the SDTT model for a wide range of slopes and roughness coefficients.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com