Sentence examples for using the approximations from inspiring English sources
Using the approximations from Appendix 1, Equation (10) can be approximated by Tps f ≈ ∑ R = 1 M F N - R e - 1 F / N 1 R ! · ∑ l = 1 S ( R ) P s l ( R ) · R s l sol ( R ). (28).
In this appendix, we map Eq. (1) to Eq. (5) using the approximations described in Sect.
To solve the linear complementarity problem (28), we carry out a discretisation of ∂V ∂ τ ∗ − L r V = 0 Open image in new window similar to the discretisation carried out for (23) using the approximations in (24).
Using the approximations for the first two moments of X2 or X 2 ∗ found previously, the minimum waiting time of LP packets can be found using the Pollaczek Khinchine relation[26].
Note that if we use the functions (F_{1,-alpha }), instead of their normalisations, in the proof of Corollary 4.3 we can cover the case that ({underline{u}}) is an admissible strict subsolution of (1.1)–(1.2), without having to modify B. Using the approximations (F_{k,-alpha }) in the proof of Corollary 4.2, we can similarly adjust the proof of Corollary 4.2.
This is generally solved using the approximation methods [1].
Similar results are obtained using the approximation (17).
Also the depletion width decreasing well below that predicted using the approximation.
To solve these problems, many engineers perform the optimization using the approximation model (response surface).
Using the approximation of for very small, the above sum rate becomes (28).
