Sentence examples for some particular value from inspiring English sources

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.

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.

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).

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.

The simplest sort of intervention in which some variable Xi is set to some particular value xi amounts, in Pearl's words, to "lifting Xi from the influence of the old functional mechanism Xi = Fi (Pai, Ui) and placing it under the influence of a new mechanism that sets the value xi while keeping all other mechanisms undisturbed".

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.