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The phrase "a rigid definition" is correct and usable in written English.
It can be used when discussing a definition that is strict, inflexible, or unchanging in nature.
Example: "In academic discussions, it is important to avoid a rigid definition of concepts, as they often require nuance and flexibility."
Alternatives: "a strict definition" or "an inflexible definition".
Exact(10)
He has a rigid definition of what constitutes right-handedness.
As for the puck going backward, Walkom said officials did not adhere to a rigid definition of the puck moving from the goal.
The pipeline model reflects the rigid disciplinary divisions that have existed historically within research universities, as well as a rigid definition of professional success.
"We've been very careful to not have a rigid definition of civility," said Maureen Cash, who oversees the CREW programme nationally.
GNTM reenforces clichéd images of young women: The format propagates a rigid definition of beauty and nurtures narrow-mindedness.
To determine if it is, we need a rigid definition of the word, and that's something we don't have.
Similar(49)
"Over time, it's very difficult to put a very rigid definition to such a thing as a format.
For example, in comparison to other diagramming techniques, concept maps have a fairly rigid definition and a very specific set of elements that the end diagram should contain.
Improved experimental designs employed in different cancer studies and a less rigid definition of infectious causation may aid in confirming or refuting a microbe-breast cancer connection.
Bowing to international pressure, Switzerland announced on Friday that it would move toward a more rigid definition of tax evasion and help global authorities pursue tax cheats.
The British associations rejoined FIFA in 1924 but soon after insisted upon a very rigid definition of amateurism, notably for Olympic football.
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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