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The phrase "for this aim" is correct and can be used in written English.
It means "for this purpose" or "towards this goal". It can be used to introduce the purpose or reason behind an action or statement. Example: "For this aim, we have implemented new safety measures in our workplace." This means that the reason for implementing the safety measures is to achieve a specific goal.
Exact(60)
For this aim we use microlocal analysis.
For this aim λ formulation was applied.
For this aim we need the following theorems and lemmas.
For this aim, a simple one-zone model is sufficient.
For this aim, the axiomatic design methodology will be applied.
For this aim, the novel object recognition task was selected.
For this aim, the light/dark test was selected.
For this aim, the object location test was selected.
For this aim, the object recognition task was selected.
For this aim the Gelfand-Levitan integral equation and transformation operators were used in [6].
For this aim, patients were interviewed 3 days after neuropsychological assessment to ascertain this point.
Related(20)
For this purpose
For this achievement
For this season
For this decline
For this project
For this inconvenience
For this visa
For this possibility
For this man
For this guide
For this referendum
For this headline
For this success
For this assignment
For this step
For this gene
For this situation
For this stat
For this award
For this mistake
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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