We use the results of Hefez and Hernandez  to give a different proof for the classification of simple singularities of mappings
equivalence done by Bruce and Gaffney  and give
the classification of unimodal singularities. The result are
extended to a classification over the real numbers
Key Words: parametrized plane curves, unimodal singularities.
2010 Mathematics Subject Classification: Primary 14H20. Secondary 14B05
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