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BUILT-IN MATHEMATICA SYMBOL
Outer
Outer[f, list1, list2, ...]
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, list1, list2, ..., n]
treats as separate elements only sublists at level n in the 
.
Outer[f, list1, list2, ..., n1, n2, ...]
treats as separate elements only sublists at level 
in the corresponding 
.
Details
- Outer[Times, list1, list2] gives an outer product.
- The result of applying Outer to the tensors
and 
is the tensor 
with elements 
. Applying Outer to two tensors of ranks r and s 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, or 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. - Outer can be used on SparseArray objects, returning a SparseArray object when possible. »
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