Calibration curves of the different analytes using ELSD as detector were made using double-logarithmic (log-log) relation.
Figure 5 shows the log-log relation between the number of VOCs, M, and the frequency of species, N. The pattern roughly follows power law [ 33]. Figure 5 shows that there are 92 species that emit only one type of VOC (Point x).
As expected, Journals specialized in soil ecology have lower impact factors (IF) than generalist journals (Table 1, see also Fig. 1 the log-log significant relation between IF and percentages of papers dealing with soil ecology).
First, we tested different linear models (total and stratified by district), assuming log-linear and log-log relations.
Motivated by those results, here we use a linear model f(x) = mx + b + ε to characterize log-relations of the noise present in velocity-dependent measurements from trial to trial.
However, in contrast to Experiment 1, the increase is better described by a log-linear relation: We computed maximum log likelihoods for the three different regression models introduced in Experiment 1 and applied these to the spaced and clustered conditions separately.
Several parameters, such as silviculture, moisture content and radial position in the log in relation to the pith from where the specimen was sawn, were considered.
Allosteric hammerhead "TRAPs," when activated by the appropriate oligonucleotide, show the expected log-linear relation between initial cleavage rate and pH.
In contrast, gradients in moisture content of logs in relation to stack position have been documented in other studies that were conducted on much larger piles (Kent 2010).
The above four methods were derived theoretically based on the rule of flow in the semi-log linear relation between the ratio of oil and water relative permeability and the water saturation in the oil water relative permeability curves (Chen 2002; Can and Kabir 2014).
For real vectors x = ( x 1, …, x n ), y = ( y 1, …, y n ) in coordinates in decreasing order, we say that x is weakly majorized by y, denoted by x ≺ w y, if ∑ j = 1 k x j ≤ ∑ j = 1 k y j, k = 1, …, n, and the weak log-majorant relation x ≺ wlog y means ∏ j = 1 k x j ≤ ∏ j = 1 k y j, k = 1, …, n.
