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The phrase "a problem to study" is correct and usable in written English.
It can be used when referring to an issue or topic that requires investigation or analysis in an academic or research context.
Example: "The researchers identified a problem to study that could lead to significant advancements in renewable energy technology."
Alternatives: "an issue to investigate" or "a topic for research".
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We're all looking for a problem to study.
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So, it is an interesting problem to study a Hardy-type inequality related to for on and.
A relevant problem to study these effects is that of sound propagation in a hard-walled duct of circular cross-section, fitted with a region of non-uniform liner.
It is a crucial problem to study the reachability of planar arms inside convex obtuse polygons.
The freeze-thaw damage of rock is a critical problem to study rock engineering in cold regions.
In the first phase we treated model identification as a classification problem to study the performances of proposed methods in comparison with the other classification algorithms.
Thus, it is a challenging problem to study the synchronization among multiple chaotic systems with unknown parameters, which is the main motivation of this work.
Unexplained stillbirth is a difficult problem to study because of the paucity of clues.
It will be an interesting problem to study the limits to which soft fixed point theory may be extended.
Remark 4.1 It is still an open problem to study the properties of radial Toeplitz operators on the studied spaces of this paper.
It is an interesting problem to study above (Browder's, Halpern's and so on) results with respect to the nonexpansive semigroup case.
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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