Sentence examples for using this approximation we from inspiring English sources

Approximate by Using this approximation, we calculate over a range of values [ s′, s′′] and determine the value s* that minimizes.

Using this approximation we can argue that { E k, t } is approximately a mean zero Gaussian independent and identically distributed process with variance gamma γ X, k (0).

Using this approximation, we get (29).

Using this approximation, we solve the following geometric program: (24).

Then, using this approximation, we can at first iteration step calculate the Fermi energy, solving the corresponding equation.

Using this approximation, we end up with a straight forward score update by the auxiliary function (18).

When it was not possible to use this approximation, we calculated the upper 95% confidence bound on the basis of the binominal distribution [ 8].

Using this approximation of S 2 we obtain the following expressions for stop codon frequencies: f TAA = 1 − f G f G 3.6 f G + 0.4 1 + 1 f G 3.6 f G + 0.4 ; f TAG = 1 1 + 1 f G 3.6 f G + 0.4 ; f TAA = 3.6 f G + 0.4 1 + 1 f G 3.6 f G + 0.4 ; These expressions recapitulate the relationship between the frequency of TAG and nucleotide content.

Using this approximation, and the definition of, we see that Therefore We now consider the integral over x.

Using this approximation together with the standard NJOY Nuclear Data Processing System, we were able to obtain very good agreement with available experimental results for solid methane, and make reliable predictions for the cases of water ice and methane hydrate.

Using this approximation and (7), (8), and (9), we can simplify (14) as.