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The focus of pharmaceutical product development lies on assuring excellent product quality at the end of a cost-efficient process.
Since for every u such that (u, y) ∈ E f there is a path from v to y of cost d v, u f + cost (u, y ) (the path concatenating the edge (u, y) at the end of a minimum cost path from v to u in G f ), it follows that d v, y f ≤ min (u, y ) ∈ E f (d v, u f + cost (u, y ) ) = Lem.6 min (u, y ) ∈ E f (d ^ v, u f + cost (u, y ) ), and we get that d v, y f = min (u, y ) ∈ E f (d ^ v, u f + cost (u, y ) ).
We believe this may have been due in part to respondent burden, because preference questions were asked at the end of a lengthy cost interview.
Tesco is bringing its nine-year solo venture in China to an end at a cost of up to £1.5bn – making it the grocer's latest aggressive international expansion to unravel.
Liverpool have signed eight players since the end of last season at a cost of £101m, with one of those - striker Divock Origi - loaned back to Lille.
Most of the rebuilding work was completed by the end of 1999, at a cost of £1.2 billion, although redevelopment continued until 2005.
He also brought in 11 players from outside the club since the end of last season at a cost of more than $60 million.
Mr. Dowling said the first phase should be finished by the end of next year at a cost of $17 million.
"Sentinel... was supposed to be finished by the end of 2009 at a cost of $425 million.
The move will shift the country's remaining national analog stations to Digital Audio Broadcasting by year's end, part of a cost-saving measure for a small country with many natural obstacles that have proven expensive to bring signal to its five million residents.
The other would allow companies to write off 100percentt of their new investments in plant and equipment between now and the end of 2011 at a cost next year of substantially more than $100 billion (but a ten-year cost of about $30 billion since those write-offs wouldn't be taken over the longer-term).
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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