The phrase "a slightly different understanding" is correct and usable in written English.
It can be used when discussing variations in interpretation or perception of a concept or idea.
Example: "After our discussion, I realized that I had a slightly different understanding of the project's goals compared to my colleagues."
Alternatives: "a somewhat altered perspective" or "a marginally distinct interpretation."
Here Putin turns professorial, and slightly scolding: It seems to me that we have a slightly different understanding of the outdoors concept….
Every medicinal chemist has probably a slightly different understanding about what a FG is.
My grasp of the process grew scarcely more thorough in that time, as I partook in literally hundreds of phone exchanges, email threads and letter chains, each based on a slightly different understanding of the rules and regulations surrounding my request.
The presence of erosion, however, must be approached with a slightly different understanding.
Fifth, due to the translation of the questionnaires into German, cultural and translational matters may result in a slightly different understanding of some questions.
The full form terms suggest ontological differences that result in slightly different understandings while at the same time there is great formal similarity of the terms which leads to a high potential of misunderstanding (e.g., DER for distributed energy resource and Distributed Energy Resources where different conceptualizations may result from the singular/plural distinction).
An explorative factor analysis (principal component analysis) is applied to reveal three slightly different understandings of how the urban future may look like in 2050.
Several neuroimaging methodologies exist, each providing a slightly different temporal window for understanding the central processing of pain.
With just a slightly different tone or a heightened sense of understanding, Mayor Giuliani would have been heralded in the black and brown communities as much as former President Clinton is".
