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"closed form" is correct and usable in written English.
It is an expression that can be used to mean something that has been completed and finalized, such as a contract or an agreement. For example: "The committee came to a closed form conclusion that the plans should be approved."
Dictionary
closed form
noun
A form that does not use limits, implicitly or explicitly.
Exact(38)
Analytical closed form solutions have been considered.
Closed form SW dispersion equations are introduced.
I've said that we can't typically do closed form solutions.
For special cases, closed form solutions are also given.
Closed form expressions for mean delays are obtained.
Closed form solutions are presented for practical design purposes.
Similar(22)
Closed-form expressions for voltages are presented.
Closed-form expressions are obtained for them.
For vertical wellbore a closed-form solution is achieved.
An approximate closed-form solution is also presented.
Closed-form PID controller gain design equations are developed.
More suggestions(5)
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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