Thread

Thread[f[args]] "threads" f over any lists that appear in args.

Thread[f[args], h] threads f over any objects with head h that appear in args.

Thread[f[args], h, n] threads f over objects with head h that appear in the first n args.

Thread[f[args], h, -n] threads over the last n args.

Thread[f[args], h, m, n] threads over arguments m through n.

Example: Thread[f[a,b, c, d,e]] .

Functions with attribute Listable are automatically threaded over lists.

All the elements in the specified args whose heads are h must be of the same length.

Arguments that do not have head h are copied as many times as there are elements in the arguments that do have head h.

Thread uses the standard sequence specification (see Section A.3.5).

See The Mathematica Book: Section 2.2.10.

See also: Distribute, Map, Inner, MapThread.

Further Examples