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The prior information can be the probability distribution of the model parameters and the geological information.
Let P={p i ;i=1,2,… } be the probability distribution of a population with infinite species.
In that case, it would rather be the probability distribution conditional on a complete specification of the values of the hidden variables that should be taken to constitute irreducible dispositions of the system concerned.
Let p i = p i 1, ⋯, p ik, ⋯, p iK i be the probability distribution over B i. Furthermore, let q= q1,⋯,q m, ⋯,q M ) be the probability distribution over Ω, where q m denotes the probability of the primary user designing the m th auction mechanism (i.e., ω 2 m ), and ∑ m = 1 M q m = 1.
Let U H ∼B(1,1−H), a Beta distribution in [0,1] (with density function (frac {1}{1-H} (1-u)^{-H} 1_{ 0,1)} (u))), and let f be the probability distribution of a random default variable X and F be its CDF.
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And what is the probability distribution?
What was the probability distribution of their values, and what was necessary for "life"?
A more reliable quality measure is the probability distribution of a scoring function computed in a finite temperature molecular dynamics run, rather than a single value.
We may interpret Equation 255 as follows: if is the probability distribution of the surfer across the web pages, he remains in the steady-state distribution.
Accordingly, the obtained result is the probability distribution function of the net present value of the maximum profit.
A more reliable quality measure of a model is the probability distribution of the BACH energy computed on an ensemble of structures that can be obtained by means of a finite temperature molecular dynamics run.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com