Sentence examples for origin for the functional from inspiring English sources

This paper provides sharp lower estimates near the origin for the functional calculus F(−uA) of a generator A of an operator semigroup defined on a sector; here F is given as the Fourier Borel transform of an analytic functional.

This paper provides sharp lower estimates near the origin for the functional calculus F(−uA) of a generator A of an operator semigroup defined on the (strictly) positive real line; here F is given as the Laplace transform of a measure or distribution.

The theory's simplicity, explanatory and predictive power makes it a serious candidate for the origin of the functional architecture of primary visual cortex.

Finally, to test one possible origin for the observed slow timescale functional connectivity we use several spike simulations.

Then the origin is a local minimum for the functional I. From (1.4), it is easy to see that I ( 0 ) = 0.

Suppose that ( F − 1 ) and ( F k − 2 ) are satisfied, is a simple V L -region and ( a i j ) = E. Then the origin is a local minimum for the functional I.

Also, although the statement of the theorem does not imply it, normally in the applications the origin (u=0) is a local minimum for the functional (mathcal{F}).

Munich Information Center for Protein Sequences Functional Catalogue MIPS FunCatt; http://www.helmholtz-muenchen.de/en/mips/projects/funcat ) (41 ), which provides a hierarchical scheme for the functional description of proteins of prokaryotic and eukaryotic origin.

Along with CDC6, CDT1 is essential for the functional assembly of the MCM helicase complex and replication origin licensing (Cook et al. 2004).

Altogether, our comprehensive molecular, structural, and functional characterization of the planarian protonephridia strongly supports a common evolutionary origin for the excretory systems of bilateral metazoans.

The most likely mechanism for the origin of novel, functional genes in the Ambystoma genome is gene duplication, as there is no evidence for whole genome duplication in A. mexicanum.