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Questions about applying functions or operators to expressions, especially constructs that take advantage of Map (/@) functionality.

6 votes
Accepted

Efficient way to MapApply for Tensor

However, you should never have to map over indices like this (well, almost never); all your mapping should be doable with Map and Apply directly, both of which take levelspec args. …
thorimur's user avatar
  • 9,080
2 votes
Accepted

Manipulate mapping on lists

Try using upvalues: Times[f[x__], f[y__]] ^:= f[x, y] and then evaluating the expression f[2] f[5] - f[1] f[2] f[5] - ... again. You could also do it without modifying f and using ReplaceRepeated (// …
thorimur's user avatar
  • 9,080
0 votes

Restrict kinds of heads when dealing with level concept

. (* Exact levels {n}: *) headMap[f_, expr_, head_, {0}] := f[expr] headMap[f_, expr_, head_, {level_Integer}] := Replace[expr, x_head :> Map[headMap[f, #, head, {level - 1}] &, x, {1}]] /; level > … 0 (* Range of levels {n1, n2}: *) headMap[f_, expr_, head_, {n1_Integer, n2 : (_Integer | Infinity)}] := Which[ n2 == 0, f[expr], n1 == 0, Construct[f, Replace[expr, x_head :> Map[headMap[f …
thorimur's user avatar
  • 9,080