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Mathematica > Core Language > Expressions > Structural Operations on Expressions > Join >

Join

concatenates lists or other expressions that share the same head.

joins the objects at level n in each of the

Join works on SparseArray objects by effectively concatenating the corresponding ordinary lists. »

Join handles ragged arrays by effectively concatenating all successive elements at level n in each of the . »

Infix syntax:

Out[1]=

Infix syntax:

Out[1]=

Join two matrices to make longer columns:

Join columns of two matrices to make longer rows:

With ragged arrays, successive elements are effectively concatenated:

The second row comes from the concatenation of nothing with

Join depth 3 arrays at different levels:

Join expressions with any head:

Join works with SparseArray objects:

Augment a matrix by adding a row:

Augment by a column:

Make a block matrix:

This can also be done with ArrayFlatten:

is equivalent to Flatten

Successively double a list by joining to itself:

Build up the Thue-Morse sequence []: