Extending an example on composition from Sykes's LJ,  I made the final step.
What's happening here?

 

   A=:i.2 2

   f=:<

   g=:+/"1

   f @ g A

--T-┐
│1│5│
L-+--

   f & g A

--T-┐
│1│5│
L-+--

   f"0 g A

--T-┐
│1│5│
L-+--

   

   f @: g A

----┐
│1 5│
L----

   f &: g A

----┐
│1 5│
L----

   f g A

----┐
│1 5│
L----

   

   (f g) A

1 0
1 1

   

   

   h=: 13 :'f"0 g y'

   h A

--T-┐
│1│5│
L-+--

   i=: 13 :'f g y'

   i A

----┐
│1 5│
L----

   j=: 13 :'(f g)A'

   j A

1 0
1 1

 

Linda

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