Built-in Mathematica Symbol

MapThread

MapThread[f, {{a₁, a₂, ...}, {b₁, b₂, ...}, ...}]
gives {f[a₁, b₁, ...], f[a₂, b₂, ...], ...}.

MapThread[f, {expr₁, expr₂, ...}, n]
applies f to the parts of the expr_i at level n.

Apply f to corresponding pairs of elements:

Apply f to elements of a matrix:

Apply f to corresponding pairs of elements:

Apply f to elements of a matrix:

By default, MapThread threads over level 1 of the arguments:

Thread over level 2:

MapThread works with any number of expressions:

Set up an outer totalistic cellular automaton:

Divide eigenvectors by their corresponding eigenvalues:

Apply the functions in a list to corresponding arguments:

Add columns of elements in a matrix:

Get lists of elements in columns of a matrix:

MapThread works like Thread, but takes the function and arguments separately:

Thread evaluates the whole expression before threading:

MapThread takes the function and its arguments separately:

MapThread is a generalization of Map to functions of several variables:

All arguments must be lists of the same length:

Thread repeats nonlist arguments as needed: