In both of the cases tested, the normalized RMS of the conditional fluctuations around both the two- and three-condition conditional averages are relatively small.
These results indicate that the two-condition conditional averages in the Sandia/TUD piloted methane/air flame series do not vary in space, nor vary with Reynolds number.
In the Sydney Swirl burner data, the two-condition conditional averages exhibit modest gradients in space which are attributed to heat transfer with the bluff body in the flow; when a third condition is added – based on the total enthalpy – the spatial gradients in the conditional average of temperature a dramatically reduced.
In our analyses, we used extensive controls for pre-admission comorbid conditions, conditional on being discharged alive from the index hospitalization, as well as models that accounted for unobserved frailty among subjects.
Conditional control transfers: Depending on a condition, the conditional control transfer statements select a jump target between a true and a false branch.
We obtain a necessary and sufficient condition for conditional gaugeability and show the equivalence between conditional gaugeability and subcriticality of generalized Schrödinger type operators.
This gives support to the strong condition called conditional excluded middle.
Annual plants have evolved so that those that live in predictable habitats have regular cycles of readiness to sprout, and studies have found that plants in unpredictable habitats, like deserts, have more complex cycles of nondormancy, ready to sprout in many conditions, and conditional dormancy, sprouting only in ideal conditions.
As a consequence, for each scenario, we only account for aleatoric uncertainty in the wind conditions at the time of eruption by simulating a large number of runs into multiple wind conditions producing conditional (assuming an eruption) probabilistic outputs.
Combination frequencies of wet, dry and normal conditions and conditional probabilities for some extreme deficit rainfall events are calculated using the proposed procedure.
In this paper, based on Simon's two-stage optimal design, we propose a new adaptive one which depends on the first stage results using the restrict conditions the conditional type I error and the conditional power.
