Sentence examples for functional version of the from inspiring English sources

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.

Maybe the necessary compromises can be reached that ensure a robust, truly functional version of the Web.

An obvious next step for Katzourakis and his group will be to work with virologists who can assemble a functional version of the ancient virus — as the researchers in Paris, New York, and Seattle have done.

Apart from the 14 or so countries where the trusty Soviet-designed rifle is made under licence, there is a makeshift factory in north-west Pakistan that uses an ancient lathe, of British empire vintage, to produce a pirated, but perfectly functional, version of the gun.

The main theoretical result is a strong functional version of the Gauss Markov theorem.

The R allele is a normal functional version of the gene, whereas the X allele contains a sequence change that completely stops production of functional α-actinin-3 protein [3].

The seed-coat specific expression of the functional version of this gene was strongly correlated with the level of expression of a UF3GT gene (Glyma08g07130), which encodes a gene product that carries out the final step in anthocyanin biosynthesis [ 15].

An independently functional version of this retrotransposon should have the structures listed previously for LINE elements, although lack of certain structures may be compensated for by other host-encoded factors.

Third, species exhibiting less complex but obviously functional versions of the same system often can be found.

However, substantial challenges remain in delivering functional versions of the aberrant proteins to specific cell types at the right time to treat or prevent disease.

In 1994, Bae, Cho, and Yeom (see [4]) proved some functional versions of the Caristi-Kirk fixed point theorem; each of these including Theorem 1.1 as a particular case.