A circuit family is $P−Uniform$ if there exists a polynomial time $DTM$ which on an input of $1^n$ outputs the description of $Cn$, the $n$th circuit.

Presumably $NP-Uniform$ would look something like it: a circuit family is $NP-Uniform$ if there exists a polynomial time $NDTM$ which on an input of $1^n$ outputs the description of $Cn$, the $n$th circuit.

$P-Uniform = P$ does $NP-Uniform = NP$?