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Experiments done with different laser pulse-widths confirm the mathematical formulation given in this paper.
{frac{{{text{d}}C}}{{{text{d}}z}}} right|_{z = 0} (6)The mathematical formulation, given by Eqs.
Following the standard approach for estimating the above problem via the finite difference approach, we solve the mathematical formulation given in Eq. (16) by imposing a uniform grid on the (t,y) domain.
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For one of these problems, a detailed mathematical formulation is given as well as a lengthy discussion on solution techniques.
In this paper an improved mathematical formulation is given of the double linearization theory for predicting the mean loading effect upon the unsteady aerodynamic force for two-dimensional vibrating cascades in subsonic flows.
Mathematical formulations are given for the vortex-sheet model and the continuous mean flow model of the jet flow profiles.
The mathematical formulation has been given and four simulation scenarios were proposed: two WiFi configurations with a different throughput requirement, one UMTS voice call scenario, and one LTE high-throughput scenario.
Even that formulation gives time too much credit.
Conferring a predictive character on a given mathematical formulation often relies on determining a number of non-measurable parameters that largely condition the model's response.
The formulations given in Sect.
In a footnote I mention 'Fisher (1950) has since [1930] given a mathematical formulation of this problem', and this is a rare example of him mathematizing a Genetical Theory discussion.
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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.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com