Sentence examples for given a functional from inspiring English sources

The permanent environmental effect function is given a functional form similar to (or more complex than) the genetic function.

In the following, we shall solve the q-fractional isoperimetric problem: Given a functional J as in (4.1), find which functions minimize (or maximize) J, when subject to the boundary conditions y(0)=y_{0},qquad y(a)=y_{a} (4.6) and the q-integral constraint I y)= int_{0}^{a}Gbigl x,y, ^{mathrm{c}}D_{q,0^^{alpha}ybigr),d_{q}x=l, (4.7) where l is a fixed real number.

Emissions are normalised (given a functional unit) on a per-kilometre basis.

We are given a functional result and asked to design the system to make that happen.

Given a functional φ : W n 1, p ( Z ) → R, x 0 ∈ W n 1, p ( Z ) is called a W-local minimizer of φ if there exists r > 0 satisfying for all y ∈ W n 1, p ( Z ) with ∥ y ∥ W n 1, p ( Z ) ≤ r, we have φ ( x 0 ) ≤ φ ( x 0 + y ).

The 5.4 Mb genome contains approximately 5000 protein-coding genes, out of which ~70% have been given a functional assignment [ 18].

We also give a functional equation for the generating function.

In this section, we give a functional equation which is related to the generating function in (2.3).

We give a functional version of the affine isoperimetric inequality for log-concave functions which may be interpreted as an inverse form of a logarithmic Sobolev inequality for entropy.

In addition to these general worries about functionalism, there are particular questions that arise for the prospects of giving a functional characterization of qualitative states.

We give a functional calculus formula for infinitesimal generators of holomorphic semigroups of operators on Banach spaces, which involves the Bochner Riesz kernels of such generators.