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"If there is a random, sporadic change in methane abundance, then I think it would likely be a geological production or release mechanism".
The sporadic change matrix is estimated as a single homogeneous process that applies throughout the tree.
We then calculated the ratio of the probability derived from the regular model to the probability of the sporadic change model as a measure of relative performance.
For each of 634 proposed sound changes in the 23 languages, we calculated the probabilities that the regular and sporadic change models assigned to the descendant sound, conditional upon the ancestral sound.
If the probability of a single sporadic change is denoted by P s (q → x ), then the probability of observing 34 independent q-to- x transitions is P s (q → x ) 34.
For protein sequence data, the model must estimate 380 distinct transition rates ([20 × 20] − 20) in the sporadic change matrix; for a phonetically transcribed data set of 62 distinct speech sounds, this number rises to 3,782 ([62 × 62] − 62).
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The species that have persevered, scientists say, are adaptable to sporadic changes in rainfall.
Almost all our DWCNT samples exhibit sporadic changes in conductance, but only at a certain temperature, could the continuous switch between two or more levels be observed by careful measurements.
We do not know whether these sporadic changes are biologically meaningful.
With all the other seven analytes studied, more sporadic changes were evident both in platelet-rich and platelet-depleted plasma.
Sporadic changes (either increases or decreases in concentration) occurred with other analytes (VEGFR2, FGFb, HGF and VEGFR1) more randomly.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com