Sentence examples for given function to from inspiring English sources

The relaxation function g is a given function to be specified later.

According to Ravetz, here the point is the design that is able to perform a given function, to do its job.

The design technique is based on the MacLaurin series expansion formula which is applied to a given function to obtain a closed form FIR digital filter approximation of the digital ideal fractional delay operator z−α.

One forms a truncated simplicial algebra from (C 2,C 1,F(X 0),∂ 2,∂ 1) as above, then taking its skeleton, one attaches new basis elements corresponding to the elements of Y 3 using the given function to get d 3.   2) In [13, 15], Baues introduces a notion of quadratic module and a related quadratic complex.

An interesting future direction would be to incorporate these global observations within a function prediction algorithm and test the accuracy of using connectivity and neighbor function assignment information together to refine the likelihood of assigning a given function to an unknown protein.

; and are given functions to be specified later.

And g, f : H → H are given functions to be specified later.

where −A is the infinitesimal generator of an analytic semigroup and the functions F, G and g are given functions to be defined later.

(h(t)), (t in J ) is a bounded linear operator, and F, G, (I_{k}) ((k = 1, ldots,m)) are given functions to be specified later.

where Ω is a bounded open domain in R n with a smooth boundary ∂ Ω. a > 0 and m, p ≥ 2 are real numbers, and f i : R 2 → R ( i = 1, 2 ) are given functions to be determined later.

(1.1) where Ω is a bounded domain in (R^{n}) ((n=1,2,3)) with smooth boundary ∂Ω, γ and δ are positive constants, (g_{i}: R^rightarrow R^), (f_{i}: R^{2}rightarrow R), (i=1,2), are given functions to be specified later.