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On the other hand, for small but non-zero ϵ, ψ is itself distributed according to the LDP (3.16), whereby one averages the different functions (v_{n}(x)) over the measure ψ to determine the dynamics of the slow system.
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To characterize one contraction, we averaged the different ridge parameters values obtained on the 5 available bursts.
The main idea of the proposed method is to compute the imbalance with different algorithms and to average the different algorithms' results.
However, even in the absence of stratification, the TIMSS samples represent, on average, the different groups found in the wider population (Olson, Martin, & Mullis, 2007, p. 84).
That is, on average the different worker species reared either relatively few large workers or more but smaller workers.
After this transformation, for Experiment 1 and Experiment 3, ratios between the averages in the different conditions and the average of baseline were computed.
The averages of the different groups were used and are depicted in the figures.
Averages of the different estimated parameters were then obtained from the 10 replicates.
The final characterization of dose response relied on model averaging, i.e. a weighted average of the different models.
An average map was then constructed using the average of the different values simulated at each cell.
For power spectrum, <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0014455.e001.PNG" class= inline-graphic"/>, || denotes the norm and 〈 〉 the average over the different stretches.
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