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This model had a logarithmic shape, which differs substantially from the horizontal shape used in the traditional/crude approach.
This proportion showed a logarithmic shape, starting with a pronounced increase but showing moderate growth at the end of the period.
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In a few control experiments, we tested this transformation against two other transformations: one was a 'simple histogram equalization' without a logarithmic shaping that preserves contrasts between pixels even better, but changes the shape of the brightness distribution considerably.
For example Knudson and Noffal (2005) found that 20 40 s of passive stretches are sufficient to reduce the isometric grip strength in a logarithmic scale shape.
Two clear structures are discernible: First, all lines exhibit a (negative) logarithmic shape without exemption, with deviations rapidly decreasing with increasing number of bootstrap samples.
In the case of total or cardiovascular mortality, this shape is evident in only about five (out of the 22) cities, whereas a linear or logarithmic shape is evident in about half of the analyzed cities.
However, they all followed a logarithmic scale (Figure 3).
Another possible explanation is that the spline model captures the logarithmic shape of the relation in the higher end of the pollutant's distribution better, because fitting a logarithmic association with the pollutant gave the best fit.
The logarithmic shape shows that the increase of ambient concentrations at the beginning of the heating season in fall is more important than further increases in concentrations later in winter.
The results indicate a substantial rise in mortality hazards for patients with more than one co-morbid condition – the Charlson index includes heart disease, thus all subjects in this study have one 'co-morbidity', but the logarithmic shape of the fitted line implies that the impact of additional co-morbid conditions lessens with the presence of more co-morbid conditions.
In Figure 7A, we can postulate that the sigmoidal response of the system is determined by the release of the cooperative inhibition on KinA transcription, whereas in Figure 7B the logarithmic shape of the three increasing curves is indicating that the response is linear.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com