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These authors noted that energy-momentum conserving delta-function in the microcanonical ensemble 'inevitably' leads to an exponential distribution of single-particle energies, with an exponential slope they labeled the 'partition temperature' (and took pains to note was not necessarily a real temperature).
Assuming that these absorption tails have amorphous nature [18] related to the structural non-uniformity of samples, they can be approximately described by Urbach equation: α = C exp(E/E U), where E U is the characteristic Urbach energy determining the exponential slope.
Slope constants for the two-exponential components of the fitted IF models are compared in Table 2. Statistical analysis revealed significant differences (ANOVA F 2,21 = 19.44, p < 0.001) between manual- and probe-derived (t test t (14) = 2.37, p = 0.033) and manual- and image-derived (t test t (14) = -3.48, p = 0.003) IFs in the slope of the first exponential (slope 1;).
However, no significant difference was found between manual- and probe-derived IFs for the slope of the second exponential (slope 2; ANOVA F 2,21 = 12.54, p < 0.001; t test t (14) = -1.14, p = 0.27), which has a greater influence on the shape of the IF.
To go on, a look at a historical graph (from zFacts) shows that the all-time national high of 120% was attained at the end of the Second World War, but the current exponential slope looks damning.
Slope1 is the exponential slope before 2006.
Similar(52)
Instead we saw identical initial intoxication rates (exponential slopes), suggesting there was no proteasomal degradation of dislocating RTA; however, there was an increased lag phase prior to intoxication.
The linear equation of the exponential phase slope was used for these calculations.
gThe exponential of the slope (Exp[B]) rather than the slope (B) is presented to allow for easy comparison with the logistic regression model findings.
The black line is a least squares fot to an exponential with a slope of about 0.01% per month.
Nonetheless, it is reasonable to expect that landscape distributions may generally be negative exponential and the slope of the line (i.e. the mortality rate) may be an important measure of landscape dynamics.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com