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The phrase "an upper bound of" is correct and usable in written English.
It is typically used in mathematical or statistical contexts to refer to a limit that a certain value cannot exceed.
Example: "The maximum score on the test serves as an upper bound of the students' performance."
Alternatives: "a maximum limit of" or "a ceiling for".
Exact(60)
Since, then is an upper bound of.
Evidently, is an upper bound of.
Hence, therefore is an upper bound of.
Obviously, is an upper bound of.
Let be an upper bound of.
Thus is an upper bound of, whence.
Thus is an upper bound of.
Hence is an upper bound of.
Thus an upper bound of mud weight is derived.
Furthermore, an upper bound of this region is estimated.
This shows that is an upper bound of in.
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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