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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.
The Gaussian-mode approximation applied to the analysis of fiber birefringence reveals the existence of a physical limit of form birefringence in an optical fiber, controlled by the trade-off between diffraction and step-index confinement of electromagnetic field in a noncircular waveguiding channel.
Spatial correlations in ionic colloidal solutions are studied within the hypernetted chain approximation, applied to the charged hard sphere model for highly asymmetric electrolyte solutions, and modified to account for stronger binding of the counterions within the solvation shell of the polyion.
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.
We characterize the performance of sparse approximation applied to the estimation problem addressed herein in terms of the minimum number of states that need to be observed to achieve an accurate estimate of the cost-to-go function.
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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!
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.
However, DMSO is a good solvent for P2VP, POEGMA, and protonated P2VP, indicating that the dilution approximation applies to this block copolymers system.
Moreover, in many cases, the electronic level separation in each diabatic electronic PES is such that the two-state approximation applies to the ET reaction.
These approximations, applied to propagation from a line source, give results agreeing well with those of the BIE method.
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CEO of Professional Science Editing for Scientists @ prosciediting.com