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The phrase "a central problem of" is correct and usable in written English.
It can be used when discussing a key issue or challenge related to a specific topic or field.
Example: "A central problem of climate change is the increasing frequency of extreme weather events."
Alternatives: "a key issue of" or "a main challenge of".
Exact(30)
A central problem of choice is what Wilson and Gilbert call "miswanting".
Managing this new order is fast becoming a central problem of global politics.
A central problem of modern democracies is to reconcile politics and economics.
k-Set agreement is a central problem of fault-tolerant distributed computing.
Overall, our work provides important insights and novel tools for a central problem of computational strain design.
A central problem, of course, is that as more wives and mothers step into the prime breadwinning role, they continue to shoulder a disproportionate load of domestic responsibility.
Similar(30)
A central problem for the use of RL in large state-action spaces is that convergence of conventional methods will take far too long.
Extracting a meaningful descriptor from an image is a central problem for a variety of computer vision problems.
Stigma remains a central problem – fear of the disease, fear of people with the disease, rejection, ostracism and discrimination.
Ruchin Kansal (Boehringer Ingelheim) spent much of his time delineating a central problem: the majority of patients do not know who makes the medications they take.
A central problem here, that of the crossing probability, concerns a bounded region of the plane inside which a lattice of points is marked out as described, and the boundary is divided into regions.
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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