g may be any dyadic function. The left operand of the operator is the symbol ∘. X and Y may be any arrays whose elements are appropriate to the function g.
Function g is applied to all combinations of the elements of X and Y. If function g returns a result, the shape of R is (⍴X),⍴Y. Each element of R is the item returned by function g when applied to the particular combination of elements of X and Y.
1 2 3∘.×10 20 30 40 10 20 30 40 20 40 60 80 30 60 90 120 1 2 3∘.⍴'AB' A B AA BB AAA BBB 1 2∘.,1 2 3 1 1 1 2 1 3 2 1 2 2 2 3 (⍳3)∘.=⍳3 1 0 0 0 1 0 0 0 1
If X or Y is empty, the result R is a conformable empty array, and the operand function is applied once between the first items of X and Y to determine the prototype of R.