Professor Motwani, an expert in algorithms and the mathematical theory underlying computer science, helped Mr. Brin and Mr. Page explore the possibilities emerging from the analysis of the Web as a graph of interconnected pages.
Characteristic length scales emerging from the analysis can be used to guide the composites design to optimize material toughness and ductility.
Interesting patterns emerging from the analysis included identification of two well-defined communities in PC area, which is consistent with the known existence of two distinct communities of researchers in the area: telecommunication engineers and physicists.
The variety emerging from the analysis of the accounts reverberates the many and various situations the earthquake observers found themselves in.
The marked differences in cross-taxon congruence of endemic species emerging from the analysis of fine-scale grids [20] and ecoregions [10] might be scale-dependent [20], [24], but there is no a priori rationale for choice of optimal scale.
A similar paradigm is emerging from the analysis of other systems, where the cellular transcriptional response to stress was largely stochastic, frequently involving genes known to be unrelated to the mechanisms under investigation [145]-[147].
