Sentence examples for an arbitrary variable from inspiring English sources

To that end, the governing Eq. (3) is integrated twice from 0 to an arbitrary variable (bar{z} in [bar{z}_{text{c}} 1]) (located in CC zone) observing NBC presented in Eq. (4).

Let an arbitrary variable with an associated physical dimension be expressed by A ∗, and let Cartesian-horizontal coordinates be labelled by the set of independent variables x ∗,y ∗,t ∗, where each of x ∗, y ∗ increases eastward and northward, respectively, and u ∗,v ∗ are the corresponding horizontal components of velocity (a list of variables is given in Table 1 1.

The current study tested the hypothesis that a non-human primate species could detect abstract, non-adjacent dependencies in acoustic stimuli, even when dependencies occurred over an arbitrary variable number of intervening sounds.

The converGreen and accuracy ofunctionmerical sofutions for the naturectangularcy plateeter calculated by the proposed method are investigated, and the frequency parameters and their modes of free vibration are showithor some rectarbitrarylates.

However, the example that X 0) is an arbitrary random variable and X t) ≡ X 0) for all t > 0 shows that this cannot be true in general.

A client may query the server for a mesh at an arbitrary, continuously variable, level of detail.

Recall that for an arbitrary random variable distributed over, (A12 where is the mean value of and is the cdf of.

To prove the uniqueness, we consider (x: Omegato X) an arbitrary random variable and we take (omegainOmega) fixed.

Let (F_{X}(x)) be the distribution function of an arbitrary random variable X defined on ((- infty,infty)) with the moments ({ mu_{k} }_{k = 0,1,ldots,2n}).

(47) and (53) together with the forces (48) and force-flux relations (31)2 for an arbitrary thermal variable ς, where the relevant functional derivatives are to be calculated with the help of (50) and (51).

In Equation (5), w n is an arbitrary chosen variable used to simplify the analysis, this equation may also be written as m n = 1 N ∑ k = 0 N − 1 ( a k + j b k ) ( cos ( w n k ) + j sin ( w n k ) ). (6).