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The phrase "assuming a certain" is correct and usable in written English.
It can be used when you want to introduce a condition or premise that is taken for granted in a discussion or argument.
Example: "Assuming a certain level of expertise, we can proceed with the advanced topics in this training session."
Alternatives: "presuming a specific" or "considering a particular".
Exact(34)
Connections between the two devices are shown below, assuming a certain PPS setup as shown in the code.
Now that's a questionable approach because you are taking material out of context and assuming a certain comparative legitimacy.
And he threw in a few jabs off the news, assuming a certain awareness of current events.
This process starts by assuming a certain probability of detecting a flash and then using the same experiments to measure alpha.
Assuming a certain similarity among multiple demonstrations, our approach learns the parametric-attractor landscape by extracting a small number of common factors in multiple demonstrations.
Scott Davis, a media analyst at First Union who rates Disney a "strong buy," concedes that "people are assuming a certain growth rate going forward, and you can't assume that looking at the last couple of years".
Similar(26)
They assume a certain gullibility in their audience.
But played live, the songs assume a certain lovelorn dignity.
"It assumes a certain type of cultural hierarchy.
The procedure described here assumes a certain degree of familiarity with editing Confluence pages.
Mr. Clinton's New Democrats assumed a certain level of conservatism among voters.
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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