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The phrase "a satisfactory generalization of" is correct and usable in written English.
It can be used when discussing a concept or idea that effectively summarizes or represents a broader category or principle.
Example: "The theory presented in the paper serves as a satisfactory generalization of the existing models in the field."
Alternatives: "an acceptable summary of" or "a reliable representation of".
Exact(2)
However, in 2D, the complex representation by dual tree is not a satisfactory generalization of the analytic wavelet [8].
§5 provides a brief account of a certain special class of sublanguages of infinitary languages for which a satisfactory generalization of the compactness theorem can be proved.
Similar(58)
When applying stepwise feature selection on training data to a model, techniques, such as leave-one-out, may not ensure satisfactory generalization.
"It was not a satisfactory way of proceeding," he said.
It did not indicate a satisfactory degree of ferocity.
A satisfactory correlation of the %Abs.
"For me that's not a satisfactory way of life.
Moreover, the problem of building satisfactory relativistic generalizations of these models has encountered serious mathematical difficulties due to the appearance of intractable divergences.
A broad generalization, of course.
Mapping requires a meaningful generalization of information.
Additive Hadamard cocycles are a natural generalization of presemifields.
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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