Sentence examples for functional over from inspiring English sources
Alternatively, the evolution equation for the level-set function also can be directly derived from the minimization problem for the energy functional over the level set functions via the gradient descent [3 7]: ∂ ϕ ∂ t = F δ ϵ ϕ, (3).
Since the class of sequences with the zero boundary conditions on both x 0 and x N + 1 is a subset of the class of sequences with zero boundary condition at 0, the nonnegativity (positivity) of the functional (1) over the class of functions which satisfy x 0 = 0 implies the nonnegativity (positivity) of this functional over the class of functions which satisfy x 0 = 0 = x N + 1.
This point of view has been exploited in the proof of Theorem 3.1 where the idea is precisely to view the perimeter of E as an integral functional over the sphere depending on the function u and then to write the second order Taylor expansion of that functional.
This generator minimizes an appropriate functional over a finite domain when two reference fields are given.
Let in be an asymptotic center of with respect to and, which minimizes the functional over in (for fix ).
The following lemma gives the optimality condition for the minimizer of a convex functional over a closed convex subset.
In order to examine the overall similarities/differences in the transcriptomic responses (in an orthology independent manner) between Arabidopsis and rice, a comparison of the functions of the DEGs was carried out using the functional over-representation analysis in the Pageman software [ 33].
This finding indicates that functional over-compensation by dominant species might be an important mechanism maintaining ecosystem functioning under environmental change.
Worse still is functional over-complication, especially if it is intended for use in desperate circumstances.
Functional over-representation analysis was performed to objectively identify biological processes potentially affected by p53-miR target genes.
Extracted GO terms were used in FatiGO within the Babelomics suite [ 66] for functional over-representation analysis.
