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Symbols in expression


Dear all,

Define, say,

r = {Cos[u] Sin[v],Sin[u] Sin[v],Cos[v]}.

How can I write a function, which takes r as an argument and returns a
list {u,v}? If we defined r[u_,v_]:=... it could be achieved fairly
easily using DownValues. But how can I achieve it in this case?

Kind regards,
Sigmund Vestergaard


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