Sentence examples for the functional are from inspiring English sources

The features of the functional are analyzed and demonstrated by numerical results.

The Euler Lagrange partial differential equations corresponding to the functional are solved efficiently via the half-quadratic algorithm.

Since the functional are strongly indefinite, a modified multiplicity critical points theorem Heinz [2] which is the generalized critical point theorem of Benci [1] will be used.

They obtained that the solutions of the impulsive problem minimize some (energy) functional and the critical points of the functional are indeed solutions of the impulsive problem.

This sequence is remarkably similar to the nonamer (UUAUUUAUU) that was identified as the functional ARE motif in biochemical studies [32].

Continuity of the functional is not assumed.

Then the functional is continuous.

The functional is continuous and is continuous.

where and Moreover, the functional is.

[H7.1] The functional is Borel measurable.

[H7.5] The functional is continuous and nonnegative.