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(ii) Aside from the standard adiabatic approximation, the transferring proton also responds instantaneously to the solvent, and a second adiabatic approximation is applied for the proton dynamics.
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The combination of the perturbation method and the technique of successive approximations is applied for the solution of the unit cell problems.
If a Gaussian approximation is applied, good results for lower modulations orders are found.
The Boussinesq approximation is applied here.
For the multiple alignment of more than two data files, the center-star approximation is applied to select a reference among input files to align to.
The rate-determining step approximation method is applied for the discussion on the reaction mechanism of tritium oxidation over platinum catalyst.
Non-Uniform Rational B-Splines (NURBS) basis function is applied for approximation of the thin plate deflection field, as for description of the geometry.
On each decomposition step of the EMD, the upper and lower envelops are initially unknown; thus, an interactive SP is applied for their approximation to obtain the IMFs and the residue, the 1D-EMD scheme is fully described in [1].
24 The frozen-core approximation was applied throughout.
The baseline for each profile was estimated within multiple shifted windows of widths 200 m/z, and the spline approximation was applied to predict the varying baseline.
In the subsequent ML search for the best scoring ML tree starting from each fifth bootstrap tree, the more accurate PROTCAT approximation was applied.
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