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Thread function over matrix elements?


Dear all,

how do I thread a function over all elements of a matrix?
This piece of code works, but I doubt its the way i am supposed to do
this

mat=Table[i+j,{i,0,2},{j,0,2}]

Map[Map[f[#]&,#]&,mat]

I tried

Map[f[#]&,mat,2]
Apply[f[#]&,mat,2]
Thread[f[mat]]

but they give weird results.

Cheers
Ben


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