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When a magnet is brought nearer to another magnet there is a change in
flux (assuming non-uniform magnetic field). A change in flux induces an
emf and eddy currents which create a magnetic field of their own.
According to Lenz's law magnetic fields created by these eddy currents act
to counter-balance the change.
In this example it means that there is a repelling force between magnets.
This effect seems to be insignificant with respect to magnetic force due
to magnetic domains in the magnets.