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By design, the methods target specific feature of the dynamic system and do not require a complete specification of the time-series evolution.
To quantify the synchrony and temporal lag between the two time series, phase evolution of each time series was computed from its wavelet transform at the 27 31 months periodic scale (see Methods and Appendix S1). Figure 4C demonstrates the resulting phase evolution of the homeless TB cases and their HIV+/PPD− contacts over the 13-year period in the data.
The proposed system leverages time series representing the evolution of different features characterizing trending campaigns.
In Fig. 2, we present a time series depicting the evolution of a typical turbidity current moving down a slope and intruding when its density matches that of the stratified ambient.
Jerky flow in dilute alloys, or the Portevin Le Chatelier effect, is investigated using statistical analysis of time series characterizing the evolution of the plastic activity at distinct scales of observation, namely, the macroscopic scale of stress serrations and a mesoscopic scale pertaining to the accompanying acoustic emission.
This 'replicated time series experiment of evolution in action' [ 12, 13] strongly suggests that those traits are indeed subject to selection from temperature-related factors.
Within the jerk concept we have to analyze the second time derivative in order to detect jerk moments in the first time derivative and changes in curvature of the field evolution time series.
The approach was applied to the long-term hydrological time series to investigate the evolution of river-floodplain relation in Dongting Lake in the last five decades, during which the Yangtze River system experienced unprecedented anthropogenic manipulations.
By quantifying the time series, we observed the evolution of the response.
Values higher than 1 and towards 1.5 tend to reflect a more periodic and predictable in its evolution time series whereas values lower than 1 and approaching 0.5 characterize a random-like process.
This paper deals with the exploration of biomedical multivariate time series to construct typical parameter evolution or scenarios.
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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