Though its resources have grown dramatically in the past year, Indivisible's footprint in Alabama, like that of the Democratic Party, was relatively small prior to the race between Jones and Moore, the Trump-backed Republican.
The electron density during the PMWE is typically 109/m3 and much smaller prior to PMWE.
When correlation in model structure exists, two strategies were used to improve predictive performance by retaining structurally distinct models or assigning smaller prior model probabilities to correlated models.
The contamination model would be assumed to apply for a small subpopulation, with small prior probability ε (e.g. ε = 0.1 or ε = 0.05), and might involve an intercept or variance shift as compared to the main model.
Some philosophers, theologians, and (in their less professional moments) physicists and cosmologists have seen this fact of the very small prior probability of a universe like ours as indicating a use of scientific method as a route to theism.
Based on a simplified spring model, it is verified that equilibrium deflections of all intermediate microcantilevers in the arrays are negligibly small prior to the onset of instability, and non-negligible deflections of the end microcantilevers cause a significant end-effect on pull-in instability of the comb-drive array.
Demand for bismuth was small prior to World War II and was pharmaceutical – bismuth compounds were used to treat such conditions as digestive disorders, sexually transmitted diseases and burns.
The posterior distribution for runs with this larger prior remained level rather than converging upon zero, so runs using the smaller prior are reported here.
Typically, smaller prior strengths also bias overall posterior probabilities towards higher values, especially for the negative set (compare blue bars in Figures 4 (a b) with the ones in (c d)).
This is reflected by a prior distribution with high precision, that is, a small prior variance.
