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One may ask the question : Do both adaptations of Shapley's axiomatic system characterize the same value?
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It can be shown that for a fixed p≥1, the quantity ({mathcal Z}_{p}) is an invariant of the exponential tilting transformation for the corresponding class of Poisson-Tweedie mixtures with such p. This means that given p≥1, all the members of the class of Poisson-Tweedie distributions characterized by the same value of ({mathcal Z}) comprise their own natural exponential family (or NEF).
Flows characterized by the same value of the Womersley number have identical velocity profiles.
We sampled amino acid distributions at site classes characterized by the same value (within a narrow range) of c i /< c>).
Do these conceptions characterize the same class of properties?
Various pore structures characterized by the same values of internal surface area and porosity can lead to completely different reaction trajectories.
The formulation is carried out in dimensionless terms in order to give results that are valid for classes of sections characterized by the same values of the geometric and mechanical parameters governing the section response.
Median total OHIP-49-H of patients at T0 was 52 (range 25 83) whereas the same value, characterizing 1059 randomly selected persons was 7 (range 0 37) [ 8].
Secondly, we consider a greater scale which is characterized by a cluster of molecules with the same value of r (i.e. a cluster of the same species of replicators).
It is characterized by the fact that it may deliver the same value of the failure probability as simple Monte Carlo simulation.
The following simple example would yield the same value: Two corpora are characterized by profiles of 10 terms each, the term frequency never exceeds 1, and the profiles have only 2 terms in common (i.e. both profiles contain a total of 18 distinct terms).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com