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The phrase "a fundamental problem for" is correct and usable in written English.
It can be used when discussing a significant issue or challenge that affects a particular group, situation, or system.
Example: "The lack of funding presents a fundamental problem for the development of new technologies in the industry."
Alternatives: "a critical issue for" or "a major challenge for".
Exact(49)
But the agent's testimony underlines a fundamental problem for all law officers.
A fundamental problem for scriptwriters in terms of getting mental illness right, is its varying nature.
It has become a fundamental problem for the Mets, who are not very good.
This is a fundamental problem for the prime minister, who needs to make him do his job.
A lack of data on tenant behaviour within the greenest buildings has been a fundamental problem for the sustainable housing movement.
The pizza promotions are a smart move, given the precarious state of the economy, but they also reflect a fundamental problem for pizza chains.
Similar(11)
A fundamental problem of finding implementation for architectural tactics/patterns is the mismatch between the high-level intent reflected in the descriptions of these patterns and the low-level implementation details of them.
Unfortunately, none of these methods accounts for a fundamental problem: controlling for student equivalence, or lack thereof, in the classrooms being compared.
Path planning is a fundamental problem, especially for various AEC applications, such as architectural design, indoor and outdoor navigation, and emergency evacuation.
"I don't think people have a fundamental problem with paying for content, but it's just too hard on the internet.
That causes him headaches and reveals a fundamental problem with the plans for city mayors.Governing Bristol's city centre, with its cultural institutions and infrastructure hubs, without the tax base of the overall conurbation puts a strain on Mr Ferguson's budget.
More suggestions(15)
a substantial problem for
a pivotal problem for
a vital problem for
a central problem for
a main problem for
a primary problem for
a fundamental challenge for
a basic problem for
a fundamental dilemma for
a core problem for
a fundamental tool for
a fundamental principle for
a fundamental role for
a big problem for
a fundamental model for
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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