  We formulate direct, neutrino flavor-changing interactions in a framework
that fits smoothly with the parameterization of two-and three-state mixing of
massive neutrino states. We show that even small direct interaction strengths
could have important consequences for the interpretation of currently running
and proposed oscillation experiments. The oscillation amplitude and the borders
of the allowed regions in two-and three-flavor mixing parameter space can be
sensitieve to the presence of direct interactions when the transition
probability is small. We use extensively the high sensitivity of the NOMAD
experiment to illustrate potentially large effects from small, direct flavor
violation. In the purely leptonic sector, we find that the clean muon neutrino
and electron neutrino beams from a muon collider could provide the sharpest
tests of direct flavor violation.
