meaning of J phrase: 10&+~20 -


i trying 20 + 10 in such way as: 

(10&+~) 20

then realize adverb & has "short right-hand". should be

(10&(+~)) 20

which gives me correct answer: 30. out of curiosity 

(10&+~) 20

gives 220. why?

more strangely, 

(10&+~) 0.1

gives "domain error'

(10&+~) 20 10 (&+~) 20. seems fork or hook isn't because ~ , & special snowflakes. ~ has dealt first, expression 10 (&+)~ 20. now, &+ can not stand on own, ~ has reflexive here. expression is

20 (10 (&+)) 20

which leads special dyadic case of bond-& becomes power (^:): x m&v y ↔ m&v^:x y. so, finally, expression becomes:

(10&+)^:20 ] 20 220

obviously, can't use power non-integers, (10&+~)0.1 domain error.


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