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Moreover, when multiple flux vectors might be reasonably possible, the marginal and conditional possibility distributions for each flux can be computed.
While none of these two notions is the one we have in ranking theory, Spohn (2009), relying on Halpern (2003), shows that by adopting the second notion of conditional possibility one can render possibility theory isomorphic to a real-valued version of ranking theory.
The possibilistic analog to conditional probability is conditional possibility.
The conditional possibility distributions and the histograms resulting from PMFA and Monte Carlo, respectively, are depicted in Figure 7.
To face these situation, marginal and conditional possibility distributions (and intervals) can be obtained, again, by solving linear optimisation problems.
The conditional definitions allow for an analogy to Bayesian inference: if we assume that B is actually certain (whatever the a priori possibility π(B) was), then conditional possibility may be understood as an a posteriori possibility.
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PokerTracker's probability graphs, as well as historical statistics of the hands a user and his or her opponents have played, enable the user to analyze conditional statistical possibilities and optimal betting amounts.
Enrichment is strictly conditional on no possibility of diversion for weapons manufacture.
In analogy to (26), the interval of flux values with a degree of conditional (a posteriori) possibility higher than can be obtained solving two LP problems: (28) The upper bound would be obtained by replacing minimum by maximum.
Mill refers to these possibilities which are conditional certainties as "permanent possibilities", thus distinguishing them from mere vague possibilities which experience gives us no warrant for reckoning upon.
First-time offenders in Peru also have the possibility of conditional release, depending on the crime.
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