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Generally, the distribution is derived only using some particular values rather than reflecting the overall results of the CFD simulations.
It is worth pointing out that, with the parameters fixed at some particular values, the modified Lorenz nonlinear system degrades to the modified Lorenz chaotic system.
An example of the functions (2.2) is shown in Fig. 1 for some particular values of (nu_{mathrm{max}}), Λ, and (V_{T}).
In Figure 1, we give the numerical evidence for some particular values of the parameters that the positive fixed point is asymptotically stable.
The numerical method is based on the approximation of all the solutions by the linear combination of some well chosen solutions computed for some particular values of R, the same ones for every variable: u, θ, P.
Remarkably, for some particular values of γ MAC, γ BC these constellations significantly outperform those with N b =0 or N s =0 in the medium γ HSI region (Figs. 7 and 9).
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Another question that could be interesting to investigate is finding the exact value of at least for some particular value of (for instance ) even in the case of.
Taking some particular value of a i ( i = 1, 2, 3, 4, 5 ) in Theorem 2.1, we obtain several new results in the following.
It can also be noted that for some particular value of power-law index, heat transfer rate decreases with an increase in thermophoresis parameter.
Often, however, we are interested in predicting the value of Y that will result if we intervene to set the value of X equal to some particular value x.
Following Pearl, let us represent the proposition that the value of X has been set by an intervention to some particular value, x0, by means of a "do" operator (do(X=x0), or more simply, do x0).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com