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Discover LudwigExact(1)
First, we check if the constraints are satisfied (lines 10 13 in Algorithm 1) and then we compare this new plan with the already detected plans to examine whether it is dominated or not (lines 15 22 in Algorithm 1).
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For the case when the demand is satisfied, line 13 computes the exact airtime increment the user needs.
For the case when the demand is not satisfied, line 18 increments the airtime of the user by an amount no less than any other user.
She produced her proofing pencil and marked it up with satisfied, incisive lines.
Melting slushy snow became sinuous lines: satisfied shoppers fill their carts and car trunks with food, while a billowing hillside gently nudges a happy home.
The capture of the key rail junction town of Debaltseve, where Ukrainian troops had been surrounded and almost entirely cut off from their main lines, satisfied Russian president Vladimir Putin and rebel leaders' main grievance with the peace plan agreed in Minsk last week.
"We've made a lot of progress but stayed within our red lines and satisfied President Karzai's concerns," a senior American official said, speaking on condition of anonymity.
One of the most active inhibitors, compound 20 exhibited stronger in vitro cholesterol absorption activity than ezetimibe, no cytotoxicity in HEK293 and RAW264.7 cell lines and satisfied lipophilicity.
When your satisfied, erase the unwanted lines and outline the drawing slightly.
Of Michael Heseltine, opening the first of London docklands' new housing schemes: "He strode among the little houses … taller than the trailing crowd … his famous prow of hair swept back, his smile controlled but constant, like a satisfied admiral inspecting a line of frigates".
Movistar's Alex Dowsett made an attack that bore no fruit, although Sir Bradley Wiggins is likely to feel satisfied after crossing the line just nine seconds off the pace for Team Sky.Surviving a crash 200 metres from the end may well have been of even greater pleasure to Wiggins, with the rest of his team-mates just a second behind him in the peloton.
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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