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By considering only the conformational fluctuations of the first few modes, researchers frequently use PCA to filter out large isomerization events and to reduce the complexity of trajectory analysis.
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Furusawa et al. proposed that the trajectory in the gene expression phase space is chaotic in the stem cell state, while as the cell differentiates, the complexity of the trajectory decreases.
Steady plastic flows have been compared to developed turbulence because the two phenomena share the inherent complexity of particle trajectories, the scale free spatial patterns and the power law statistics of fluctuations.
Due to the strong heterogeneity and very low permeability of the formation, and the complexity of well trajectories with multiple hydraulic fractures; there are challenges associated with performance forecasting and optimum exploitation of these resources using conventional modeling approaches.
This has wider implications for suggestions that schematic maps should maintain topographical relationships in order to facilitate appropriate journey choices, with the danger that the inevitable increased complexity of line trajectories for such designs would simultaneously reduce the ability of passengers to identify the most appropriate routes.
This combination of forms of 'accumulation by dispossession' shows the complexity of the trajectories of the contemporary expansion of the palm frontier in the 'space-of-place'.
Our method simplifies the visual complexity of patient trajectories by aggregating records over time, clustering patients and filtering associations between cohorts.
This graphical approach has the advantage that the type of fluorescence decay (simple, complex, or excited-state reaction/solvent relaxation) and the complexity of the system trajectory (binary or more complex) can be deduced visually without further analysis.
The overall objective was to identify possible barriers to accessing multidisciplinary care and highlight the complexity of the referral trajectory.
In recent years a growing number of studies have been designed to explore the complexity of the COP trajectories during quiet standing.
This rather short but detailed examination is intended to take the complexity of the developing trajectories into account and is therefore based on a conjunctural, causation assumption, '[w]here those paths may be made up of combinations of more than one causal condition' (Goodman, 2014, p. 67).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com