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Discover LudwigThe phrase "rigid system" is correct and usable in written English.
You can use it to refer to a system that is characterized by inflexibility or an inability to adapt. For example, "The current educational system is too rigid and does not allow for individual student needs."
Exact(60)
Intramolecular exchange interactions in a rigid system.
Trap has helped minimize these factors with a rigid system.
A decade ago, fashion was a rigid system.
"The crab's body is designed to work as a rigid system," Ms. Taylor said.
The hero is raised according to a rigid system devised by his father, Sir Austin Feverel.
What is important about science is its intensive and rigid system of ethics and standards.
But they enforced a rigid system of criminal justice in the name of maintaining social order.
Indeed, some argued that the United States ended up with a more rigid system of tracking than any other country.
Such mingling of the races, even if none of them were white, defied the regime's rigid system of racial classifications.
By 1947 and 1948 this rigid system had begun to fall apart, and intra-European trade slumped.
"Becoming an Artist: The Academy in 19th-Century France" explains the rigid system by which careers were made.
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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