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The maximum-clade-credibility trees derived from the BEAST analyses using lognormal and exponential priors temporal priors (see Methods above) were identical in topology and almost indistinguishable in posterior clade probabilities (Figs. S1, S2).
The fit was very high (r>0.98) in both waves, so that the displays of the transition probabilities are virtually indistinguishable in the two waves: CSHA-1 to CSHA-2 and CSHA-2 to CSHA-3.
3. Frederick Mosteller: Fifty Challenging Problems in Probability.
Topics in Probability Theory.
Pi also crops up in probability.
ideologically extreme candidates and moderates became indistinguishable in their likelihood of winning an election, with predicted probabilities of winning hovering around 50percentt for both.
Cattle and sheep were merged to form a single ruminant category because Ogden et al. [ 13] demonstrated that there are no significant differences between probabilities assigned to cattle compared to probabilities assigned to sheep and therefore the two sources are indistinguishable in terms of their C. jejuni sequence types.
One might analogize imprecise probabilities as the "Theory of Relativity" to the strict Bayesian "Newtonian Mechanics": all but indistinguishable in all but the most extreme situations.
The figures are indistinguishable in form and color.
But some quantum particles are not indistinguishable in this way.
Acute disease scores were nearly indistinguishable in guinea pigs immunized with either virus.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com