Sentence examples for between the analytical approximation from inspiring English sources

Comparison between the analytical approximation and the empirical measurements.

Results show a perfect match between the empirical results and the analytical approximation at low SNR values, however, approximation accuracy degrades as SNR increases (ρ>−2 dB).

This also recommends the analytical approximation formula for parameter studies.

We also include the analytical approximation of the dependencies obtained by simulation.

If necessary, the results of the analytical approximation can be confirmed by stochastic simulations.

For the analytical approximation with Equation 9, described under Analytical Approximation above, the number of operations required for the computation depends on the details of the data as this determines the number of operations.

Comparison of running times between the fully executed algorithm and the approximation is shown in Figure 7Figure 7; this shows that the analytical approximation is two orders of magnitude faster than algorithmic sampling and therefore more practical for generating networks from real datasets stored as GMT files.

The analytical approximation is not valid for these concentrations, and this regime was investigated by numerically integrating the governing equations.

(I ) Percent error in the Fano factor prediction from the analytical approximation compared to Fano factor calculated from Gillespie simulations of the reaction scheme.

I use the analytical approximation of [ 13], to jointly estimate the strength of selection (s) and the rate of adaptive substitution per site per generation.

The analytical approximation (Equation 14) represents an important intermediate result toward our goal of deriving the distribution of adaptive substitutions from standing genetic variation.