This principle plays an effective role in proving some multiparameter generalizations of Chaconʼs type continuous ratio ergodic theorems for semigroups and of Jacobsʼ type continuous random ratio ergodic theorems for quasi-semigroups.
If and in (1.6), then the system (1.6) reduces to the continuous ratio-dependence predator-prey diffusive system proposed in [17].
The log transformed ratio results from the logarithmic transformation of the continuous ratio [ 15].
The continuous ratio was calculated by dividing the score for effort by the score for reward.
Using the data from the GAZEL cohort, [ 14] concluded that the continuous ratio and the log transformed ratio were the most powerful formulations among those they investigated.
CD34 and CD105 were treated as continuous ratio variables, although they were divided into quartiles for the purpose of survival analysis with Kaplan Meier graphs.
Similarly, using the upper quartile of the ratio between effort and reward as a measure of stressful experience at work is in line with the evidence from several epidemiological studies although analysis of a log-transformed continuous ratio might reveal even stronger effects [ 25, 30, 31].
The jet velocities varied from 0.17 to 6.2 m/s and the dispersed to continuous phase ratios varied from 0.05 to 0.28.
To ascertain if equations that calculate continuous likelihood ratios (CLRs) for pleural exudates improve pleural fluid categorization, especially when false positive or false negative test results are obtained by using Light's criteria.
