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While a reading of 40 mg/dl is likely to prompt corrective action that could be quite appropriate for a true value of 55 mg/dl, the same is not likely to be the case for a reading of 70 mg/dl, which in many instances will be regarded by the patient as reassuring, if not cause for congratulation.
In order to do so, we need a probabilistic model of the reading order in case of a natural reading behavior.
A woman was referred for additional workup (primary referral) if the mammogram was considered positive by both radiologists after initial double-reading or, in the case of a discrepant reading, if at least one radiologist considered referral necessary after consensus discussion.
In case of a normal reading situation, some parts of the texts are skipped or reread.
In case of a discrepant reading, the two radiologists discuss the case together to reach consensus about referral.
Although paired-end read can be considered as a special case of a single read, the dynamic programming algorithm introduced above becomes impractical, since we need to enumerate all positions the paired-end read covers.
In case of an unclear reading, the slide was reviewed by a second technician and the chief of the laboratory until an agreement was achieved.
Therefore, in the case of an 'ideal read-pair' (r, r′) (e.g. a read-pair with the exact insert size I), y 0 = x 0 − d, where d = L e n g t h (e ) − I + R e a d L e n g t h.
In the next section we will see the behavior of both algorithms in case of a non-preserved reading order.
In case of a discrepant review reading, a second histology review was performed.
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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