Operators Summarised

Table 1 and Table 2 below summarise the Monadic and Dyadic primitive operators whose detailed descriptions follow in alphabetical order in this section.

Some operators may include an axis specification (indicated []in the tables). Note that in these case ⎕IO is an implicit argument of the derived function.

Table 1: Monadic Primitive Operators

Name	Producing Monadic derived function	Producing Dyadic derived function
Assignment (Modified)		Xf←Y
Assignment (Indexed Modified)		X[I]f←Y
Assignment (Selective Modified)		(EXP X)f←Y
Commute	f⍨Y	Xf⍨Y
Each	f¨Y	Xf¨Y
I-Beam	A⌶Y	X(A⌶)Y
Key	f⌸Y	Xf⌸Y
Reduction	f/Y [ ]	Xf/Y [ ]
Reduction First	f⌿Y [ ]	Xf⌿Y [ ]
Scan	f\Y [ ]
Scan First	f⍀Y [ ]
Spawn	f&Y	Xf&Y

Table 2: Dyadic Primitive Operators

Name	Producing Monadic derived function	Producing Dyadic derived function
At	f@gY	Xf@gY
Atop	f⍤gY	Xf⍤gY
Axis	f[B]Y	Xf[B]Y
Beside	f∘gY	Xf∘gY
Bind	A∘gY
	(f∘B)Y
Constant	(A⍨)Y	X(A⍨)Y
Inner Product		Xf.gY
Outer Product		X∘.gY
Over	f⍥gY	Xf⍥gY
Power	f⍣gY	Xf⍣gY
Rank	f⍤kY	Xf⍤kY
Stencil	f⌺gY
Variant	f⍠gY	Xf⍠gY