The Boolean function sensitivity of a Boolean function
at an input
is the number of individual coordinates whose reversal changes
. If
reverses coordinate
, then
The sensitivity of is the maximum
(Virza 2011). A coordinate function
has sensitivity 1, while
has sensitivity
because every coordinate reversal changes its value.
Averaging
over the discrete uniform distribution
on the inputs gives average sensitivity. Allowing
disjoint sets of coordinates to reverse together
gives block sensitivity.