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Differential equations may possess coefficients that vary on a spectrum of scales.
This practical, systematic procedure provides clear guidance for the design and improvement of landscape models that may be used to address a wide variety of questions relevant to restoration, over a spectrum of scales.
The aim of this study was to analyse whether the structure of hydroid assemblages living on C. amentacea had a consistent pattern of variation among three portions of the algal thallus (i.e., basal, middle, and distal) across a spectrum of scales and whether having or not a pelagic stage could exert a significant influence on the distribution patterns of the species.
Many space, time, function or interaction modeling techniques apply across the vast spectrum of scales from genotypes to phenotypes, from the small scale of microarray imaging for genomics, to the larger in vivo neuroimaging scale.
Paleoecological studies across a broad spectrum of scales, environments, and taxonomic groups have found that many past ecosystems maintained a stable structure over timescales of 100 ky to 2 my or more, despite major taxonomic turnovers or climatic events [107] [113].
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We already have an extremely powerful descriptive system which can be used to specify complex systems while including ambiguities, uncertainties, interwoven relationships, iterative levels of success and an arbitrarily broad spectrum of scale and detail.
Multifractal analysis deals with a process whose power-law scaling behavior is a nonlinear function of statistical moments having a spectrum of scaling exponents.
The PRE vertical drift is responsible also for the structuring of the night-time ionosphere into plasma irregularities in wide spectrum of scale sizes that can cause severe scintillation (and loss of lock) of satellite signals.
Common to all these application is that they cover a large spectrum of length scales ranging from inner particle length scales to global dimensions of the reactor.
Atefi et al. [3] introduced a wavelet-based proxy, log-averaged scale λlog, using weighted average power spectrum of different scales to obtain empirical magnitude scaling relationship.
Any scaling analysis of DNA sequences must take into account the entire spectrum of length scales since we are facing a system near its critical point [39].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com