  Weak values have been shown to be helpful especially when considering them as
the outcomes of weak measurements. In this paper we show that in principle, the
real and imaginary parts of the weak value of any operator may be elucidated
from expectation values of suitably defined density, flux and hermitian
commutator operators. Expectation values are the outcomes of strong
(projective) measurements implying that weak values are general properties of
operators in association with pre- and post-selection and they need not be
preferentially associated with weak measurements. They should be considered as
an important measurable property which provides added information as compared
with the "standard" diagonal expectation value of an operator. As a first
specific example we consider the determination of the real and imaginary parts
of the weak value of the momentum operator employing projective time of flight
experiments. Then the results are analyzed from the point of view of Bohmian
mechanics. Finally we consider recent neutron interferometry experiments used
to determine the weak values of the neutron spin.
