'distinct notion' is a correct and usable phrase in written English.
You can use it to refer to a notion that stands out from other ideas. For example, "Her distinct notion about how to approach the project was remarkable."
One was left with the distinct notion that, as much as the Broncos had become defined by one player, so, too, had the Patriots.
Each case leads to a distinct notion of critical dimension for the operator (L_gamma ).
A distinct notion of complexity is studied in Kolmogorov complexity theory (e.g., Li and Vitányi 1997).
One can then see fallacies, not as a theoretically distinct notion, but as deviations from these rules.
Further, if all the marks that form part of a distinct notion are themselves distinctly known, then the cognition is adequate.
When one can give such an enumeration, one possesses a distinct notion or concept and is thus able to give a nominal definition of the thing.
More than a conflict between two states, Mr. Dayan believes, the struggle has become one between two distinct notions of God.
Spurred first by Mississippi-born Chicagoans nostalgic for home and later by folkies and rock 'n' rollers with related but distinct notions of what authenticity might entail, this paragon of the true Delta never stopped adjusting to fashion.
Therefore, the two paradigms involve distinct notions of knowledge.
In the literature, notice that there are distinct notions that are called 'a generalized metric'.
As Weatherson and Marshall show, there actually seem to be several distinct notions lumped under "intrinsic".
