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The sentence "solve the problem successfully" is correct and usable in written English.
You can use it when you would like to indicate that an issue has been addressed and resolved satisfactorily. For example, "After a lot of hard work, our team was able to solve the problem successfully."
Exact(1)
For instance, due to the complex character and intransparency, problem solvers must interact with given systems in order to obtain information about variables and their connectivity, and, finally, use these information to solve the problem successfully (Funke 2010).
Similar(59)
Initiatives that solve the problem are already running successfully in Germany, Holland and Switzerland, but are not being considered by Safer Leeds.
Although the assessments were designed in such a way that students with low prior knowledge could successfully solve the problem, prior knowledge on the chemical concepts, implemented in the CBA, was beneficial (supporting Friege and Lind 2006; Hambrick 2005; Schmidt-Weigand et al. 2009).
Consequently, PMA-qPCR could successfully solve the problem of overestimation of phage efficacy against E. coli O157 H7, which mostly arose as a result of the lyses of surviving E. coli O157 H7 by surface-attached phage particles during the plating process.
The periodic GPS connection method was successfully shown to solve the problem of users' walking path variations (from a straight line) in outdoor areas.
This approach has been successfully applied to solve the problem of the manufacturing process sequence and material flow optimization for gas-turbine compressor blades production.
To prove the effectiveness of Iterative Chaotic map with infinite collapses assisted MOEA/D-DRA (ICMDRA), NSGA-II has also been successfully applied to solve the problem.
In this research work, we have contemplated on the Multi Objective Bat Algorithm (MOBA) a biologically inspired metaheuristics and have successfully applied to solve the problem of floorplanning in VLSI design.
Results show that the majority of the students (96%) could solve the algorithmic problem successfully.
A largely modified LCS, called Fuzzy Efficiency based Classifier System (FECS), originally designed by one of the authors, is used to solve this problem successfully.
"I strongly believe that professionalism, experience and a demanding attitude toward work will allow you to successfully solve the problems of Russia's northern capital".
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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