The limit cyclic spectrum function can be characterized as the Fourier transform like (4): (7).
The idealized cyclic spectrum function can be characterized as the Fourier transform.
It was shown [29] that the minimum of a differentiable nonconvex function can be characterized by general variational inequality (5).
We observed that the average clustering coefficient versus similarity threshold function can be characterized by the presence of a peak that covers a range of similarity threshold values.
In fact, the power-law polynomial function can be characterized as a power series in the Reynolds number, which is used to describe the Oseen drag coefficient to evaluate drag on a sphere [12] [14].
The convexity of Gâteaux differentiable functions can be characterized as follows.
Such functions can be characterized by the following Paley Wiener Schwartz type theorem (see [63], Theorem 7.23 and exercise 15 of Chapter 7): Let f be a continuous function on ({mathbb R}^d) and let (M,,sigma >0).
Yet individual soil functions can be characterized by their primary linkages to ecosystem services and thus to services they provide to society, as is necessary for ecosystem services evaluation.
tsh is required for patterning several adult tissues; however, none of these described functions can be characterized as homeotic (Bessa and Casares, 2005; Bessa et al., 2009; Datta et al., 2009; Erkner et al., 1999; Laugier et al., 2005; Pan and Rubin, 1998; Singh et al., 2002; Singh et al., 2004; Wu and Cohen, 1999; Wu and Cohen, 2002).
The function yi(t) can be characterized by three variables, xi,1, xi,2 and xi,3, with values between 0 and 1, by taking (A0)i = xi,1(A0)max, Ai = xi,2(A0)i and ωi = xi,3ωmax (in fact, the variables xi,j may be considered as parameters, because they change very slowly in time).
The distribution of the resistant population as a function of time can be characterized through its Laplace transform as follows: In the previous display, the first equality follows from the independence of the initial preexisting resistant cells, the first approximation follows from (1), and the penultimate approximation from the approximation log (1− x)≍− x for x small.
