Create an indexed list of functions

Question

I am trying to use a Table to create the following object:

{f[#,1]&,f[#,2],f[#,3]}

The obvious doesn't work,

Table[f[#, j] &, {j, 1, 3}]

It gives:

{f[#1, j] &, f[#1, j] &, f[#1, j] &}

leaving the j unevaluated. I assume that's due to the HoldAll attribute of Function. How do I get around this? Thanks

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march · Answer 1 · 2016-02-02T23:44:58.367

3

Some possibilities:

Table[With[{j = j}, f[#, j] &], {j, 3}]
Function[{j}, f[#, j] &] /@ Range[3]
f[#, j] & /. List /@ Thread[j -> Range[3]]

edited Feb 02 '16 at 23:44

answered Feb 02 '16 at 23:39

march

score 2 · Answer 2 · answered Feb 02 '16 at 23:34

2

This seems to work.

Table[(f[#, i] &) /. i -> j, {j, 1, 3}]
(* {f[#1, 1] &, f[#1, 2] &, f[#1, 3] &} *)

Note that #1 and # are equivalent.

answered Feb 02 '16 at 23:34

bbgodfrey

2 Answers2