Sentence examples for apply to this function from inspiring English sources

Apply to this function the operator  D μ α and denote v ( x ) = D μ α [ u ] ( x ).

Since the adaptive intensity transfer function (11) is continuously differentiable, the proposed SDRCLCE equation (10) can be applied to this function accordingly.

To minimize the misfit function using the adjoint method, the time-reversed technique was applied to this function, and its product was used as the adjoint source in the backward simulation from each station to the source (e.g., Tromp et al. 2005).

Moreover, F possesses a unique coupled fixed point of the form ( x, x ), i.e., ( 0, 0 ), but no coupled fixed point theorem established in [1, 4 7, 10, 13, 15 18, 23 31] (and in other related papers) can be applied to this function F. First, let us note that (2.1) holds with the constants a = 1 3 and b = 2 3. Suppose F satisfies (2.2).

(a) This follows directly from Banach's fixed-point theorem applied to the function Ψ.

For instance, resource state can influence the likelihood that a female will engage in mate choice as well as the preference function she applies to this task (Jennions and Petrie 1997; Widemo and Sæther 1999; Hunt et al. 2005; Cotton et al. 2006).

A low-pass or band-pass filter is applied to achieve this function.

While some of this description might apply to hormonal function, none of it applies to neural transmission unquestionably the main means of behavioral control.

Curiously, this requirement does not apply to Rep2 function on ITR5 GAGY (Fig. 4A).

This reasoning may equally apply to social functioning as well.

Moreover, the transformation lets researchers invoke powerful theorems that apply to functions in the complex plane.