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The phrase "the abovementioned problem" is correct and usable in written English.
It can be used when referring back to a problem that has already been mentioned earlier in the text. Example: "In light of the abovementioned problem, we need to consider alternative solutions."
Exact(11)
Considerable studies have been carried out on the abovementioned problem.
This paper proposes a dynamic adjust contention period (DACP) mechanism to solve the abovementioned problem.
Transformed by the Lagrangian function, the abovementioned problem can be transformed into the dual problem.
Devices with self-cleaning function can easily avoid the abovementioned problem.
Social network routing is one which provides solution to the abovementioned problem.
The devices with self-cleaning function can easily avoid the abovementioned problem.
Similar(49)
We have seen that there are alternative solutions for every single one of the abovementioned problems.
Wake-up receivers (WUR) have been designed to address the abovementioned problems.
To overcome the abovementioned problems, we use a designing method for the reliability function.
In this study, an effective clustering algorithm – the constrained k-prototypes (CKP) algorithm – is proposed to resolve the abovementioned problems.
To address the abovementioned problems, we first designed a database model by using a table-driven approach (TDA).
More suggestions(13)
the abovementioned subjects
the abovementioned challenges
the abovementioned problems
the said problem
the aforesaid problem
the mentioned problem
the above mentioned problem
the abovementioned information
the abovementioned issue
the identified problem
the described problem
the obtained problem
the cited problem
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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