I know how to create a function from concrete expression like

Function[{x, y}, x^2 + y^2]

But what if I have a list of expressions list1 and I know the set of variables which can occur in this list. I want to map all expressions of list1 to curresponding functions from these variables. Like

{x^2 + y^2, z^2, x, y}

should be mapped to

  Function[{x,y,z}, x^2 + y^2], 
  Function[{x,y,z}, z^2], 
  Function[{x,y,z}, x], 
  Function[{x,y,z}, y]

I've tried

Function[{x,y,z}, #] &/@ list1

but this doesn't work. Can someone help me with solution?

  • $\begingroup$ Something like g = Function[{x, y, z}, #] & /@ l1; g[[1]][a, b, c]? $\endgroup$ Commented May 18, 2014 at 13:21
  • $\begingroup$ Or this way?g = Function[{x, y, z}, #] &@l1; g[a, b, c][[1]] $\endgroup$ Commented May 18, 2014 at 13:22

1 Answer 1


One way to do it is:

exprs = {x^2 + y^2, z^2, x, y};
Replace[Function[{x, y, z}, body], {Rule[body, #]} & /@ exprs, {-1}]
   Function[{x, y, z}, x^2 + y^2], 
   Function[{x, y, z}, z^2], 
   Function[{x, y, z}, x], 
   Function[{x, y, z}, y]

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