The original analytic aggregate bound for admissible selected minors

For every real $\nu>2$ and fixed admissible datum $d$, there is an error $e_d(H)\to0$ as $H\to+\infty$. Eventually, every selected minor $D$ with nonzero determinant satisfies

Here $M_d(H)$ is the row count, $a_d$ the analytic error parameter, $\gamma_d(H)$ the collision rate, $A_d$ and $\eta_d$ the fixed-data parameters, and $b_d(H)$ the normalized weighted row mean. The bound is uniform over the original column selections and is precisely the source analytic aggregate statement.