Sentence examples for a more complicated expression from inspiring English sources

In this case, we have to establish a more complicated expression of operator T and to find the proper lower and upper bounds of Green's functions (Lemma 2.2 and Lemma 2.4).

I-DirI is in the same orientation as the Pol I rRNA transcript [ 64], and has a more complicated expression mechanism.

Longer-term bonds may require a more complicated formula.

In C. ocellatus, we detected a far more complicated expression profile of cadherins with significant upregulation of CDH1 (epithelial cadherin), 2, 4, 11, 15, 22, and 24 and downregulation of CDH5 and 13.

For example, I can show (see Methods) that for binding sites evolving in the absence of selection, A similar, albeit more complicated expression is available for the variance (see Methods).

Second, for all parameter ranges, there is very close fit between our simple expressions for protein noise and the more complicated expression of Thattai and Van Oudenaarden, with the exception of very weak repressors in Figure 1 d) where their expression fits the data slightly better.

The estimation of the PR, however, requires a more complicated mathematical expression that relates the effects and the values of the factors of interest.

The repression and activation of these genes in allotetraploids are responsible for the sub-functionalization of duplicated genes [ 47], which indicates a more complicated gene expression in allopolyploids rather than a simple combination of two genomes [ 46, 48].

More complicated expressions can be used if desired but a linear relation is used here as a convenient start to limit the complexity of the model.

Transformation into real states is possible but comes at the cost of more complicated expressions for the convolutions.

Subsequent work has shown that the relationship loses its validity at higher pressures, but more complicated expressions that more accurately match experimental results can be derived.