Sentence examples for use the above expression from inspiring English sources

We may also use the above expression without the final term as an approximation that assumes a distance of zero from the depot to the center of the tour area, which can be considered a lower bound.

Recalling that c λ m, δ m and m λ m, δ m both converge to 1 N S F N p, we can use the above expression and ∫Ω(λ m |u m | q + δ m |v m | q )dx → 0 again to conclude that k = S F N p, that is, lim m → ∞ ( u m, v m ) E p = S F N p = lim m → ∞ ∫ Ω F ( x, u m, v m ) d x. (3.10).

If n involves non-negligible fraction of N (e.g. >5%), one may use the above expression (11) or introduce the so-called finite population correction factor (FPC) for the calculation of the error [52].

Furthermore, a one-dimensional unsteady and steady-state heat transfer model that includes the physical processes radiation, conduction, and chemical decomposition was developed using the above expression for the reaction rate.

In response, Spurs fans decided not to ignore this, not to retaliate in kind, but to say effectively: "OK, if you want to call us that, we will take on the identity of Jews and support and acclaim our team using the above expression and variants of it".

Using the above expression in inequality (3.9), we obtain the estimate (3.12).

Nonlinear optimization technique was used to minimize the difference between the theoretical volume fraction calculated using the above expression and the experimental volume fractions computed using the 3-D plots of the data from SEM/EDS microanalyses.

Using the above expression and the numbers of the earlier scenario (but with a stay length equal to 5 min), the collaborative Server resultant traffic will be 1.12 Kilobits per second (Kbps).

Using the above expression for the equi-affine perimeter, we see that this implies that G L / G S = A L 1/3/ A S 1/3 where A L and A S are the areas of the large and small ellipses, respectively.

In the current, investigation we have explored the following: (1) intracellular expression of SK in S. cerevisiae utilizing GAP promoter of P. pastoris (2) optimization of nutrients for SK production using the above expression system by response surface methodology (RSM) and comparison between normal and baffled flasks, and (3) qualitative SK detection by Lyticase-nitroanilide assay (LNA).

Inference for the causal risk ratio parameter or for the causal odds ratio parameter can likewise be obtained by simply using the above expression for Pr(Y0 = 1 |A = 1, C) as a baseline risk in a standard (multiplicative or logistic) regression model.