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"penalty problem" is a correct and usable phrase in written English
It can be used to refer to a problem or issue related to penalties or punishment. Example: The penalty problem in our justice system has been a topic of debate for years, with many calling for reform and fairer consequences for offenders.
Exact(17)
Mark Messier, the team's captain, agreed with Trottier that the penalty problem needed to be corrected.
We introduce the following penalty problem.
Consider the following penalty problem of (3.1): (3.1).
The error estimates are obtained among the optimal objective function values of the smoothed penalty problem, the nonsmooth penalty problem and the original problem.
Section 3 discusses the penalty problem which will be used to prove our main result.
The existence is proved by compactness of the approximated penalty problem.
Similar(42)
"We started off fine, but then we put ourselves in penalty problems," Tortorella said, referring to the 2-0 first-period lead the Rangers lost.
More than three years' worth of Packers penalty problems hit an all-time low in Week 3 this season, a miserable 18-penalty performance in a loss at Chicago.
Coverage of America's latest lethal injection debacle has played and replayed the ugly details of last Tuesday's botched execution in Oklahoma, once again throwing the nation's death penalty problems into the international spotlight.
"We've had penalty problems in the season and after a game like that, with so much emotion running high, I selected a group of players and asked them if they were confident.
Penalty problems.
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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