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The first two sums in the last expression can be computed in Θ |Ch e)|) time, given that we have computed already for every l∈Ch e) the quantity TC l) and the sum ∑ u ∈ S (l ) TC (u ) (can be done with a single bottom-up scan of the tree).
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By one count, there are already more than 10,000 saints and "beati," or blessed, accumulated since Roman times, with at least three saints already assigned for every day of the year.
The Colorado River is already spoken for, every acre-foot of it --totally oversubscribed.
The mandate for change already exists for every manufacturer.
Marvelous capabilities already exist for every browser (and they have for years), but they are being underutilized.
"Every passenger is already prescreened for every flight".
Further implementation will reveal what works best in individual communities, but options already exist for every budget and school.
Think of it as a stream of liquid property, every pint within it already spoken for, every drop owned by someone and obligated somewhere, according to a labyrinth of potentially conflicting contracts.
Resuscitation maneuvers had already started for every piglet at T 60, but esmolol administration had not started at that time.
"Sales prices are apparent in almost every retailer at every level already for holiday.
"There is one already for France.
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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