Quasirandom Boolean function

A Boolean function $f:\{0,1{\}}^n\to \{0,1\}$ is $(\epsilon ,p,r)$-quasirandom when conditioning any set of at most $r$ coordinates to any values changes its ${\mu }_p$-expectation by at most $\epsilon$.

For every $\epsilon ,p,r,\delta$, there is $T$ such that every Boolean function has a set $J$ with $|J|\le T$ for which a ${\mu }_p$-random restriction on $J$ leaves an $(\epsilon ,p,r)$-quasirandom function with probability at least $1-\delta$.