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In the following descriptions, f and g represent functions and a and b represent variables.

  • The form fg may be used both monadically and dyadically.
Monadic: Z←fgR is identical to Z←fgR.
Dyadic: Z←LfgR is identical to Z←LfgR.
  • The form f∘b may be used monadically only.
Monadic: Z←(fb) R is identical to Z←R f b.
Note that parentheses are required around the function to avoid interpreting b R as a strand.
  • The form ag may be used monadically only.
Monadic: Z←agR is identical to Z←a g R.
  • The derived function from the form ab always signals a SYNTAX ERROR.

Compose can be useful for function assignment (but enclosing parentheses are necessary).

For example

      p1←(1∘+¯2∘π) ⍝ 1 more than the Nth prime number
      p1 ⍳9
3 4 6 8 12 14 18 20 24