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variable definitions - How to use pattern matching to assign values to Subscript[f,x_]?


I want to define two subscripted functions Subscript[f,1] and Subscript[f,2]. To keep the assignments local, I would like to associate the definitions with f if possible. My current solution is to write the following.



f/:Subscript[f,1]:=Function[x,g[x]]
f/:Subscript[f,2]:=Function[x,h[x]]

The resulting definition is stored as an UpValue for f, which is acceptable for me. Is it possible to construct a similar definition using pattern matching? I am looking for an analog to the following pair of definitions.


f[x_]:=g[x] (*definition 1*)
f:=Function[x,g[x]] (*definition 2*)

In other words, I am currently using a definition akin to definition 2 above for my subscripted functions. Is it possible to write a definition analogous to definition 1 above?



Answer



You can do this with the Notation Package and its Symbolize function:



Mathematica graphics


The definition is not attached to Subscript, but to pseudo-Symbol f1:


Mathematica graphics


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