Sentence examples for approximation limit from inspiring English sources

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.

This experimental setup allows us to test our algorithm to recover realistic tubular structures accurately even when highly absorbing areas, exceeding the Born approximation limit, are present in the medium [ 8, 25].

This approximation limits the range of application of the solution to small ambient gradients or relatively high frequencies.

As can be observed qualitatively in Fig. 5 b, PPCA's rotation approximation limits its result to getting better rotation estimate in frame 50.

Later on, Becke introduced the Becke three-parameter Lee-Yang-Parr (B3LYP) hybrid approach that can overcome the HF approximation limits [19, 24 26].

Further, also the choice of the defocus steps affects the accuracy of the phase reconstruction, as the intensity derivative is an approximation limited by noise (small defocus steps) and artifacts due to non-linearity (large defocus steps).

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.

Table 2 Analytical characteristics of solid phase spectrophotometric determination of salicylate derivatives (λ 410 nm, time of contact is 15 min)   Analytical range (mM) Linear approximation R Limit of detection (mM) Sodium salicylate 0.1 5 A = 150·C 0.9968 0.02 Salicylamide 0.5 10 A = 86·C 0.9983 0.03 Methylsalicylate 0.05 4.7 A = 125·C 0.9976 0.0125·C

The measure Root Mean Square Error of Approximation (RMSEA) (limit for acceptable fit: below 0.05) was also applied.

45 Within the ray optics approximation, this limit sets the maximum absorption enhancement of a rough surface (in double-pass configuration) with respect to flat (single pass) geometry.

This approximation may limit the model ability to resolve the near sources chemistry and transport which is likely to occur near urban monitor sites.