  In this paper we rewrite the neutrino mixing angles and mass squared
differences in matter given, in our original paper, in a notation that is more
conventional for the reader. Replacing the usual neutrino mixing angles and
mass squared differences in the expressions for the vacuum oscillation
probabilities with these matter mixing angles and mass squared differences
gives an excellent approximation to the oscillation probabilities in matter.
Comparisons for T2K, NOvA, T2HKK and DUNE are also given for neutrinos and
anti-neutrinos, disappearance and appearance channels, normal ordering and
inverted ordering.
