This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)


is an attribute that can be assigned to a symbol f to indicate that the function f 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.
  • 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.
New in 1