Sentence examples for cases of probability from inspiring English sources
Incompatibility and certainty are thus two extreme cases of probability with values of 0 and 1.
The Csiszar's f-divergence Γ f incorporated most of special cases of probability measure distances, including the variation distance, χ 2 -divergence, information for discrimination or generalized entropy, information gain, mutual information, mean square contingency, etc. Γ f has many applications to almost all applied sciences where stochastics enters.
Because stratifying the data does not lead to any simplifications, the plots in Figure 6 combine all data for various cases of probabilities { qfix, qfluct, p}.
We prove uniqueness for the Dirichlet problem for the complex Monge Ampère equation on compact Kähler manifolds in the case of probability measures vanishing on pluripolar sets.
In this sense, classical logic is a special case of probability logic, or equivalently, probability logic is an extension of classical logic.
The probability of individual units within strata to be sampled can nevertheless be calculated, which makes this type of sampling a special case of probability sampling and different from non-probability or purposive sampling as described by Cameron et al. (2003).
These are cases only of probability, not knowledge as indeed is virtually the whole of scientific knowledge, excluding mathematics.
Still, it would be an achievement if all probabilities could be reduced to cases of equal probability.
Bolzano discovered the link between deducibility and conditional probability, according to which deducibility and incompatibility appear as two limit cases of conditional probability (this idea was taken over or reinvented by Wittgenstein in the Tractatus).
