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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.

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. »

	All	all elements
	None	no elements
	n	elements 1 through n
	-n	last n elements
	{n}	element n only
	{m,n}	elements m through n inclusive
	{m,n,s}	elements m through n in steps of s

Convert equations for lists to lists of equations:

Apply a function to both sides of an equation: