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As previously seen, many authors proposed different ways to obtain the functions with satisfactory results.
In this way we obtain the functions which we denote by.
By obtaining the values of the constants a j, we obtain the functions μ from (48) and h from (49a).
Applying Lemma 3.1 with u n to obtain the functions ξ + : B ( 0, ϵ ) → R + for some ϵ n > 0 such that ξ + ( w ) ( u n − w ) ∈ N λ +, choose 0 < ρ < ϵ n, let u ∈ X with u ≢ 0 and let w ρ = ρ u ∥ u ∥.
In particular, we obtain the functions X2 = ϕ X0), T = ψ X0), with T = T1 + T2, which define the Kimmel et al. model [ 5].
GeneTrail was used again to obtain the functions of different miRNA target sets and their combinations for identifying their possible roles in cancer.
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After applying some transformations on the above expression, we obtain the function form.
(2.6) Then, we can obtain the function (Q=Q t,x)) from equations (2.5) and (2.6).
(3.9) We wish to obtain the function (U x,t)) in terms of (theta x,t)).
Solving (3.26), we obtain the function (varphi(t)): varphi=frac{1}{3}omegatan biggl(frac{1}{3}(- omega t+9 omega) biggr).
As a result we obtain the function defined as for and, and for, for which (317). and the equation (318).
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