Sentence examples for be extended on functional from inspiring English sources

The results presented in Section 2 can be extended on functional differential inequalities corresponding to the system: where z = (z1,..., z k ) and f = (f1,..., f k ): E × ℝ k × C B, ℝ k ) × ℝ n → ℝ n is a given function of the variables (t, x, p,w, q), p = (p1,..., p k ), w = (w1,..., w k ), Some quasi-monotone assumptions on the function f with respect to p are needed in this case.

This concept can be extended for functionals instead of means as well.

This required that the central executive apparatus be extended and organized along functional lines.

It seems that the obtained results could be extended to more general functional spaces.

That is, the lim functional defined on c can be extended to the whole of ℓ ∞ and this extended functional is known as the Banach limit.

The implicit method is based on results on functional splines and can be extended to pipe surfaces with parametrically defined directrices.

Such a strategy of interchain Staudinger reaction can be extended to construct biosensors for other small functional molecules on the basis of judiciously designed aptamers.

Due to the Hahn-Banach Theorem, the functional can be extended to the space.

These functionals are naturally defined on functions of bounded variation, and can be extended by relaxation to a larger set of discontinuous functions.

This in vivo functional annotation may be extended to ∼50 additional proteins.

Moreover, the augmented Lyapunov functional method also can be extended to the systems without time delay.