Wolfram Language & System 10.3 (2015)|Legacy Documentation

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is an attribute that can be assigned to a symbol to indicate that the function should automatically be threaded over lists that appear as its arguments.


  • Listable functions are effectively applied separately to each element in a list, or to corresponding elements in each list if there is more than one list.
  • Most builtin mathematical functions are Listable. »
  • All the arguments which are lists in a Listable function must be of the same length. »
  • Arguments that are not lists are copied as many times as there are elements in the lists.
Introduced in 1988