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A number of taxa fall far from the linear trend (i.e. P. neglectus, P. albiflorus, P. salicifolius and P. pachyrrhizoides).
Thus, a network with high edge density implies high mean degree, which in turn would fall far from the linear S = αn model, as we have just shown.
Such networks of neurons can have very low small-world-ness values for their size [16], and thus fall far from the linear S∝n model discovered here.
Timescales range from seconds to several thousands of seconds [ 235] and deformations far from the linear regime can be obtained.
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Assuming a 25% sizing error, this yields a systematic error of + 100% in particle number (~ < d>−3), which shifts these data points far away from the linear fit line (see error bars in Figure 1A).
If one is far from the extremum, linear terms will dominate.
The inverted U-shape of the three curves clearly shows that the kinetics of PCT assessed by the slope, the highest value as well as the Δ max was not useful in VAP prediction that is far from the ideal linear correlation that is indicative of a good diagnostic marker.
Fatigue strength of both TWIP and FP steels increased with the tensile strength, but the TWIP steel cold-drawn to a tensile strength of 1.5 GPa exhibited a very low fatigue ratio (a ratio of fatigue strength to tensile strength) which deviated far from the predicted linear relationship.
It is clear, however, that the Jensen-Shannon distance is far from linear to the real distance for larger distances.
The pendulum, if not too far from the vertical, is a linear system, as are electrical circuits containing resistors that obey Ohm's law or capacitors and inductors for which voltage and current also are proportional.
The constraint works poorly if time series are of events that start and stop at extremely different times because the warping path can stray very far from a linear warping path and nearly the entire matrix must be evaluated to find an optimal warping path.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com