Sentence examples for partitioning of functions from inspiring English sources

First, dual pairs of this sort can also be generated from a pre-Hilbert space, which is a space that has all the features of a Hilbert space except that it is not complete, and doing so has the distinct advantage of avoiding the partitioning of functions into equivalence classes (in the case of functions spaces).

Another promising approach is to construct more explicit models of microbial and community function to address the partitioning of functions across taxa in a sample.

We note, moreover, that gene duplication is also one of the best-established mechanisms for subfunctionalization (partitioning of functions of the prior ancestral gene) of paralogous genes (Ohno 1970; Hahn 2009).

Genome sequencing also revealed a whole-genome duplication event in the teleost lineage, with 25 30% of the duplicated genes having been retained in the zebrafish because of partitioning of functions that were originally performed by the single ancestral gene (subfunctionalization) (Force et al., 1999; Howe et al., 2013; Schartl, 2014; Braasch and Postlethwait, 2012).

In this study, seven ZmARF genes, including ZmARF1, 10, 13, 14, 18, 22 and 25, appeared to be constitutively expressed in developing embryos, whereas the transcripts of other ZmARF genes exhibited dynamic expression patterns, suggesting the partitioning of functions between these genes in embryo development.

An additional possibility is that gene duplicates may also undergo partitioning of function among different genotypes of a species leading to genetic differentiation.

Lastly, evolution of the coding sequences and their regulation following gene duplications have lead to lineage specific partitioning of function or development of new gene functions [ 15, 16].

The fact that duplicate genes for TPS exist implies a partitioning of function between the two paralogues [ 49], indeed as will be seen below, there is differential expression of the two genes in M. arctica under dehyrating conditions.

This evolution can be interpreted according to the sub-neofunctionalization model of gene evolution [ 2- 5], which proposes that the partitioning of function between the duplicated genes alters the selective environment at each locus, resulting in structural fine-tuning or adaptation of the encoded proteins by positive selection.

To this end, we use two key ingredients that are computed numerically: (i) elementary functions that correspond to flow solutions used in transmissibility upscaling, and (ii) partition-of-unity functions used to combine elementary functions into basis functions.

To gain insights into how the IGFBP-2 genes may have evolved through partitioning of ancestral functions, functional and mechanistic studies were carried out.