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FilledSmallSquareListable 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.

FilledSmallSquareListable 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.

FilledSmallSquare Most built-in mathematical functions are Listable.

FilledSmallSquare Example: Log is Listable. Log[a,b,c] LongRightArrow.

FilledSmallSquare All the arguments which are lists in a Listable function must be of the same length.

FilledSmallSquare Arguments that are not lists are copied as many times as there are elements in the lists.

FilledSmallSquare Example: Plus is Listable. a, b, c + x LongRightArrow.

FilledSmallSquare See The Mathematica Book: Section 2.5.3.

FilledSmallSquare See also: Thread, Map, Sequence.

Further Examples