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In an intermediate zone we compute the gravitational attraction produced by each prism using the analytic formula.
Since the shift of steady-state distribution can be computed efficiently using the analytic formula derived in [ 16- 18], a second new control policy, having similar time complexity as the original MFPT control policy, is proposed based on the shift of steady-state distribution.
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Hence, we can safely use the analytic formulae of FUV and TIR LFs at z = 0 (Eqs. (16) and (17)).
It is possible to use the analytic formulae derived in the Supplementary Material to get the power of the two-stage procedure.
The main purpose of this paper is using the analytic method and the properties of Gauss sums to study the 2k th power mean of G ( χ, m, n, c ; p ), and to give a sharp asymptotic formula for it.
Lastly, I discuss the orbital evolution of satellites captured by circumplanetary disks using the derived analytic formulae for (dot a), (dot e), and (dot i).
Comparisons with experimental data and with predictions using the quasi-analytic formulas are provided in order to support the validity of the proposed models.
A very good performance is achieved, matching the analytic formula for the spatial resolution of a MPGD-readout TPC.
Predicted gamma values from the analytic formula averaged 25% greater than measured values from experimental I-131 point source acquisitions.
In this paper, we shall use the analytic method and the properties of Gauss sums to study this problem, and give an exact computational formula for (3).
In this paper, we use the analytic method and the properties of Gauss sums to study the computational problem of one kind fourth power mean of the generalized two-term exponential sums, and give an exact computational formula for it.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
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CEO of Professional Science Editing for Scientists @ prosciediting.com