Sentence examples for example of functions from inspiring English sources

A typical example of functions satisfying conditions (H 1) is f (t, u) = |u|q-2u.

Figure 5 Example of functions φ for three different values of b when μ = 18.

Next we show a non-trivial example of functions ψ, ϕ, and φ such that (( psi,phi,varphi ) inOmega).

A typical example of functions satisfying (A1) is g = | ζ | p − 2 ζ e C | ζ | α, for all  ζ ∈ R, where p > 2, C > 0, α ∈ ( 1, 2 ) arbitrarily chosen.

A simple example of functions fulfilling the last condition is given by g j ( t ) = d j | t | γ j − 2 t, h j ( t ) = e j | t | σ j − 2 t, where d j and e j, j = 1, …, n, are positive constants.

The Courier was a great example of function preceding form.

As an example of function (11), we assume 2 R S * = 10.

Figure 3 depicts an example of function η t when η t (z,d)=η t (d).

For an example of function ρ whose regularizing function σ satisfy (h3) we can refer to [17].

The performance of the approach is evaluated via an example of function approximation with noisy data, and a nonlinearly separable classification problem.

The following examples of functions are essentially contained in [23].