Sentence examples for for any given function from inspiring English sources

For any given function, then, the researcher checks to see whether the feature (or set of features) is indeed the best adaptation possible.

But for any given function a developer wants to add, there are several – maybe even dozens or more – possibilities.

More precisely, the next state of fractional derivative for any given function f depends not only on their current state, but also upon all of their historical states.

To find the solution (varphi(t)) of integral equation (1) satisfying the condition (sqrt{t}cdot varphi(t)in L_{infty}(0,infty)) for any given function (sqrt{t}cdot f(t)in L_{infty}(0,infty)) and each given complex spectral parameter (lambdainmathcal{C}).

To see that (mathcal{L}) is surjective, we just need an elementary fact from [16]: for any given function (g in L^{2}_{0}(Omega)) and constant (tau_{0}), the elliptic equation -Deltaomega=g quad text{in } Omega, qquad frac{partialomega }{partial n}=0quad text{on } partialOmega quad text{with } int_{Omega} omega,dx=tau_{0}, has a unique solution (omegain W^{2,2}_{n}(Omega)).

For any given function (|u|^{m-1}u), we consider its harmonic extension and denote (w=E(|u|^{m-1}u)); then the extension function satisfies the following problem: left { begin{array}{l@{quad}l} Delta w=0 & text{for } bar{x} inOmega, t>0, frac{partialPhi^{-1}(w)}{partial t}-frac{partial w}{partial y}=-f x,t) & text{on }=-f xa,tt>0, w(x,0,0)=u_{0}^{m}(x) & text{on } Gamma, end{array} right>0

Historically the first method of mapping brain function, it is still potentially the most powerful, establishing the necessity of any putative neural substrate for a given function or deficit.

Sound designers should avoid using very extreme parameter values when generating sound for a given function.

Hence, the approximation for a given function needs less data than that of the multilinear model.

For convenience, we use the following abbreviation for a given function and.

All perfect models for a given function and all perfect functions in a given model are characterized.