The phrase "analyses of the complexity" is correct and usable in written English.
It can be used when discussing the examination or evaluation of complex systems, problems, or phenomena.
Example: "The researchers conducted detailed analyses of the complexity of the ecosystem to understand its various interactions."
Alternatives: "examinations of the complexity" or "studies of the complexity".
Analyses on the complexity of the heuristics and the result of numerical studies show that the heuristic algorithm is feasible and relatively effective.
Hence, analyses of the conformational complexity of the extracted PDB structures for each ligand were conducted through structural alignment using Multiscale Modeling Tools for Structural Biology (Scripps Research Institute, San Diego, CA, USA).
These analyses reveal some of the complexity of assessing daytime sleepiness, which is undoubtedly multifactorial.
These unexpected results motivated further analyses of the underlying architectural complexity of HMS.
The multiple linear analyses explained the complexity of the mimicked freshwater mixed–algal community in the laboratory.
Their analyses highlight the complexity of the genetic interactions that are involved in DS cognitive phenotypes and also strengthen the hypothesis on the multigenic nature of DS.
Though the regional calibrations appear to be successful, our analyses indicate the complexity of applying color reflectance methods in marine sediment core studies.
Through analysis of industrial data, several novel non-dimensional parameters have been established, allowing for (with suitable constraint equations depending on the type of bends analysed) the approximation of the complexity of pipe bend geometry in only a few dimension factors.
We use an integrated analysis of breast cancer that combines independent methods of genomic analyses to highlight the complexity of signaling pathways underlying different breast cancer phenotypes and to identify optimal therapeutic opportunities.
This completes the serial and PRAM complexity analyses of Multigrid: the serial complexity is optimal, in the sense that a constant amount of work per unknown is performed.
