Sentence examples for more complex dependencies from inspiring English sources
In addition to defining simple relations, several logical restrictions can be put on these basic elements as to create more complex dependencies.
The critical loads are shown to have a simple quadratic dependency on coating thickness, but more complex dependencies on elastic modulus mismatch ratio.
More complex dependencies of the rate of cortical For3p detachment on polymerization can lead to additional phenomena, such as the existence of multiple steady state concentration profiles in the first of Eq. 6.
However, in future work we aim to extend the approach to address more complex dependencies between phenotypes.
Nevertheless, the pairwise disease interactions in our study can be considered as a reasonable approximation of potentially more complex dependencies [ 35].
Second, pre-adjusting for the covariates allows us to take into account more complex dependencies among these covariates, especially when we have multiple cohorts.
It is not possible to assess on just one realization whether a point process is a (non necessarily homogeneous) Poisson process or not since the variations of the repartition of the points between different parts of one trial can either be due to nonstationarity or to more complex dependency structures that cannot be studied on just one run.
Instead, there is a more complex dependency on both the size and the total volume occupied by the crowder.
For a thin apex h < 8 mm (i.e., when the scroll approaches the apex of the heart), the velocity is slower and it exhibits a more complex dependency on the anisotropy.
This leads to a high enrichment of photosynthetic genes under cold stress but much less enrichment under CO2 and sulfur stress conditions where the response of the photosynthesis genes exhibits a more complex dependency on the phosphate levels.
MRFs employ an auxiliary dependency graph which allows them to model more complex statistical dependencies, including statistical dependencies that occur between amino-acid residues that are hydrogen bonded in beta sheets.
