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This approximation limits the range of application of the solution to small ambient gradients or relatively high frequencies.
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Later on, Becke introduced the Becke three-parameter Lee-Yang-Parr (B3LYP) hybrid approach that can overcome the HF approximation limits [19, 24 26].
Therefore, we use the theoretical error probability approximation, limited to the nearest neighbors as in [25]: considering an impact of the received constellation, the error only comes from the choice of one neighbor at the distance dmin.
To simplify the nonlinear terms and to conserve the total mass and total angular momentum to round-off accuracy, we introduce a "stratified" approximation which limits the nonlinearity of the equations to quadratic.
As can be observed qualitatively in Fig. 5 b, PPCA's rotation approximation limits its result to getting better rotation estimate in frame 50.
This approximation may limit the model ability to resolve the near sources chemistry and transport which is likely to occur near urban monitor sites.
In the last years, many authors have presented different approaches to the solution of Fredholm integral equations using spline kernel approximations, to limit the number of terms in the approximate kernel.
While making the transfer function more generally applicable, these approximations also limit the performance of the HE method.
Quantitative determination of total ocular blood flow with a single method is not possible, but combination of different methods is proposed to give a better approximation.[ 45] This fact limits the explanatory power of this and other studies addressing ocular perfusion in ophthalmological diseases.
Approximations i iv seriously limit the applicability of docking methods for the following reasons.
Based on the descriptions for the velocity potential of the incident beam and the scattering coefficients of the sphere in the long-wavelength approximation limit, simplified expressions for the spin and orbital radiation torque components are derived.
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