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Discover LudwigThe phrase "under the same understanding" is correct and usable in written English.
It can be used when referring to a shared agreement or mutual comprehension between parties involved in a discussion or agreement. Example: "Before we proceed with the project, let's ensure we are all under the same understanding regarding the timeline and deliverables."
Exact(1)
This development came as an unpleasant surprise to some collectors who'd bought Flavins believing that theirs were one of a set of, say, two, as well as to the dealers who'd sold them these works, under the same understanding.
Similar(58)
The agreement on the annotation results allows us to infer that they share the same understanding, and, consequently, we can expect them to perform consistently under this understanding.
We do not have the same understanding of human rights.
But it was harder to find the same understanding, or availability, of the house drink.
In what follows, P k ( x ) has the same understanding.
Initially, Cody, 23, didn't get the same understanding.
Free amino acids and sugars were also measured in freeze-dried tubers of all varieties stored under the same conditions, in order to increase our understanding of how the concentration of acrylamide precursors in tubers affects acrylamide formation in crisps.
As with music, she had the same keen understanding and appreciation of art and literature.
Rote word practice is not the same as understanding, he noted.
Both answers begin with the same basic understanding of how Kuhn challenged inherited views of science.
Brooker possesses the same intuitive understanding of humans as works in progress.
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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