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People, money, and goods glide frictionlessly around the world, and cities expand or contract based on their marginal attractiveness.
We offer a simple point mechanism that rewards hospitals based on their marginal contribution to the platform.
The optimal mechanism ranks agents based on their marginal contribution to social surplus and distributes objects to higher-ranked agents.
Models were compared based on their marginal likelihoods (also termed 'evidence'), reported in bits (that is, log2 ratio of marginal likelihoods = log2 Bayes factors) of evidence against a given model when compared to the best model for a feature (Supplementary Table 10).
Table 6 reports the estimation results and shows companies make debt decisions based on their marginal tax rate and not the statutory tax rate.
Finally, ancestral state characters are then estimated based on their marginal posterior probability [4], which is calculated by integrating over the uncertainty in all of the other model parameters (tree topology, branch lengths, etc).
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Then an acceptable plan for resource deployment among all districts is made based on their expected marginal contribution.
Bayes factors were calculated between the model used to simulate each data set and a range of possible alternative models (Table 1) based on their respective marginal likelihoods (Additional file 1) obtained through thermodynamic integration [ 36- 38].
Liberals are confident, based on their tracking of marginal seats.
The programs CFC [ 2] and Pedig [ 3] were used to identify the most influential animals, and these were then ranked based on their total and marginal genetic contributions.
In order to better understand the biological underpinnings of this PBC response, we focused on the 3 top-performing factors based on their median posterior marginal probabilities, which were significantly above the level of background noise.
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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