Sentence examples for have subsequently been defined from inspiring English sources

There is an exponential number of elementary cycles in a graph and smaller subsets of this have subsequently been defined and used in various aspects of chemical information processing.

Two related forms of inductive evidence are as follows: (i) many other independently motivated models of computation have subsequently been defined which describe the same class of functions; (ii) the thesis is generally thought to yield a classification of functions which has thus far coincided with our ability to compute them in the relevant 'in principle' sense.

NAADP was shown to liberate Ca2+ from non-ER cellular organelles that have subsequently been defined as acidic compartments of the late-endocytic/lysosomal pathway [ 21].

These evolutionary analyses unearthed several strong candidates for involvement in complex I activity, of which three have subsequently been defined as disease-causing genes, C8orf38 (Pagliarini et al., 2008), C3orf60 (Saada et al., 2009) and C20orf7 (Sugiana et al., 2008).

It was also noted that the width of this feature in reciprocal (Q) space identified a larger scale of order over which these MRO-regime correlations persisted; this has subsequently been defined as the coherence length, L. The position and width of the FSDP in glassy SiO2 have received considerable attention, and are well-characterized [7, 8, 14].

BCR-ABL1 transcript levels below 0.0032% were established as "undetectable" in the IRIS trial [ 29], and BCR-ABL (IS) ≤ 0.0032% has subsequently been defined as molecular remission at 4.5 logs (MR4.5) [ 30, 31].

A similar type of staging has subsequently been defined for the Aβ pathology (Thal et al., 2002) and is now also available for the Lewy body pathology in PD (Parkinson's disease) (Braak et al., 2003).

Thousands of bones have subsequently been excavated.

More recent reviews have subsequently been positive.

Alignments have subsequently been improved by eye.

Gene structure in the S. purpuratus genome has subsequently been further defined by transcriptome analysis [ 10], but aside from S. purpuratus there is little genomic data available for any other sea urchin species from public databases.