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This approach is based on my years of experience as an institutional economist working to put economic theory into practice in order to: (i) correctly identify and evaluate the impact of informality and (ii) apply the institutional reforms to successfully transform the informal economy and property rights into tradeable assets (establishing the foundations for any economic development).
The four groups of sequences are: (i) correctly classified NSI sequences (A, blue curve), (ii) correctly classified SI sequences (A, red curve), (iii) NSI sequences misclassified by all three methods (B, blue curve) and SI sequences misclassified by all three methods (iv) (B, red curve).
Each alignment can be divided into two segments: (i) correctly aligned and (ii) incorrectly aligned or extended (Fig. 1a and Supplementary Fig. S1).
where p ni is the probability that person n will answer item i correctly [or be able to do the task specified by that item], θ is person ability, and b is the item difficulty parameter.
The latter substrate was synthesized with or without an oligo(A8) 3′ terminal extension to establish whether mtPAP had a different preference for (i) correctly processed 3′ termini compared with any free 3′ end and (ii) to see whether mtPAP only used pre-oligoadenylated transcripts as a template.
During the recognition run subjects viewed still images of the previously studied environment and determined if objects within the environment were; (i) correctly positioned (previously seen items in appropriate environmental locations), (ii) spatially rearranged (previously seen items shuffled within the environment), or (iii) they could not tell (do not know).
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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