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The phrase "a new norm based" is not correct in English as it is incomplete and lacks clarity.
It could be used in contexts discussing the establishment of new standards or practices, but it needs to be part of a more complete phrase.
Example: "We are transitioning to a new norm based approach to remote work."
Alternatives: "a new standard based" or "a new framework based".
Exact(1)
We propose a new norm based on the way we quantify tracking performance as a function of saturation errors found using the same norm.
Similar(58)
This paper presents a new approach to solve this problem that is based on a new norm of a matrix, called the truncated nuclear norm (TNN).
Under Mr. Jiang and later Mr. Hu, a new norm formed.
But this level of extreme weather is new, and likely to be a new norm.
You expect an outpouring of outrage but within a short time a new norm emerges.
I'd been coasting along on what seems like a new norm: Nobody picks up.
Exhibitions of this scale could become a new norm for the Met in the years ahead.
Should there be a new norm on Wall Street?
The current low prices are not a new norm.
We construct a new norm and prove the existence of our model under definition of the new norm.
It will not be a new norm.
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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