Outer

Usage

• Outer[f, , , ... ] gives the generalized outer product of the , forming all possible combinations of the lowest-level elements in each of them, and feeding them as arguments to f.
• Outer[f, , , ... , n] treats as separate elements only sublists at level n in the .
• Outer[f, , , ... , , , ... ] treats as separate elements only sublists at level in the corresponding .

Notes

• Example: Outer[f,a,b,x,y].

• Outer[Times, , ] gives an outer product.

• The result of applying Outer to the tensors and is the tensor with elements f[,]. Applying Outer to two tensors of ranks and gives a tensor of rank .

• The heads of all must be the same, but need not necessarily be List.

• The need not necessarily be cuboidal arrays.

• The specifications of levels must be positive integers, Infinity.

• If only a single level specification is given, it is assumed to apply to all the . If there are several , but fewer than the number of , the lowest-level elements in the remaining will be used.

Further Examples