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Neutrino mass spectrum is reanalyzed in supersymmetric models with explicittrilinear $R$ violation. Models in this category are argued to providesimultaneous solution to the solar and atmospheric neutrino anomalies. It isshown specifically that large mixing and hierarchical masses needed for thevacuum solution of neutrino anomalies arise naturally in these models withoutrequiring any additional symmetries or hierarchies among the trilinearcouplings.Comment: References added and typos correcte

Sneutrino vacuum expectation values and neutrino anomalies through trilinearR-parity violation