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The phrase "a rigid assignment" is correct and usable in written English.
It can be used to describe a task or duty that is inflexible or strictly defined, often in an academic or professional context.
Example: "The professor gave us a rigid assignment that left no room for creativity or interpretation."
Alternatives: "a strict task" or "a fixed assignment".
Exact(1)
SVD provides much information about patterns of variability in a dataset rather than a rigid assignment of genes to clusters.
Similar(59)
A decade ago, fashion was a rigid system.
A lacrosse stick is a rigid slingshot.
"He had a rigid deadline.
Her back remains a rigid blockade.
Posture is not a rigid concept.
The utility of a rigid crust?
"There's not a rigid quota.
RW played a rigid defensive minded game.
A rigid moral position admits few compromises".
Because I was trying to fight a rigid, singular narrative with a really rigid, singular narrative".
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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