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Finally, the mixture model is formally defined and statistical approaches to estimating its parameters discussed.
The winner determination problem of the MUDAB model is formally defined, and a fast polynomial-time network flow based algorithm is proposed for solving the problem.
The third model is formally the same as the one in Equation 13 with y ijt indicating whether a new doctor entered the market.
The model is formally consistent and it has been validated against experimental results, such as steady-state power and voltage versus current curves.
The significance of Remark 2 is that when the farmer chooses inputs, the buyer's problem in our two-input model is formally equivalent to the corresponding, and routine, textbook problem, in which technology is given by the single-input production function (ddot {f}) with constant unit cost (ddot {v}).
Thus, the Soodak (1987) model is formally the calculation of the mean RFs in the full statistical connectivity model of Ringach (2004).
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Mr. Marchionne could well have skipped the catch-all Chrysler, Dodge, Jeep and Fiat exhibits, where not a single new model was formally introduced.
From a theoretical viewpoint, alternative designs for the fuzzy Markov chain-based model are formally presented.
The baseline finite element model was formally validated using data from reversed cyclic, inelastic in-plane tests of four large-scale SC wall piers.
Indeed, it is unlikely if not impossible that even the relatively simple 1972 version of the model was formally identified.
Moreover, the time elapsed since the new model was formally adopted is satisfactory to ascertain whether behavioral changes, such as new patterns of collaboration between clinicians, are at play.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com