  Nonlocality is a distinctive feature of quantum theory, which has been
extensively studied for decades. It is found that the uncertainty principle
determines the nonlocality of quantum mechanics. Here we show that various
degrees of nonlocalities in correlated system can be characterized by the
generalized uncertainty principle, by which the complementarity is attributed
to the mutual dependence of observables. Concrete examples for different kinds
of non-classical phenomena pertaining to different orders of dependence are
presented. We obtain the third order ``skewness nonlocality'', and find that
the Bell nonlocality turns out to be merely the second order ``variance
nonlocality'' and the forth order dependence contains the commutator squares,
which hence is related to the quantum contextuality. More applications of the
generalized uncertainty principle are expected.
