The challenge is to give counterexamples to the following J myths.
 
2.  Difficult: Only “caps make it possible to define a wider range of functions 
as unbroken trains […] Thus,
 
h=: >. % [: <. + * -
 
   2.5 h 4
_0.4
”
Hint: one can cheat by searching the Forum.
Bonus puzzle: Find a cap replacement verb for the following utilization, “since 
the domain of the cap is empty, it can be used (with :) to define a function 
whose monadic or dyadic case invokes an error.”
 
1.  Extreme: J “Conjunctions and adverbs apply” only “to noun or verb 
arguments.”  In other words, the challenge is to successfully pass an adverb 
argument or a conjunction argument to an adverb or to a conjunction.
Hint: After I mentioned to Roger, the last time he visited Hoboken, that it was 
possible he reportedly woke up in the middle of the night of the same day with 
the solution and closed this back door afterwards, but the facility is still  
available in version J601c (and earlier).
 
0.  Extreme: "The cases where u f. is not equivalent to u, of practical 
interest or otherwise, are rare and are bugs.  These have been fixed for the 
next J6.01 beta."  That is, find at least one Proverb (and a NOUN) such that 
‘Proverb NOUN’ and ‘Proverb f. NOUN’ still do not produce the same result.
Bonus puzzle: Find different (not trivial variations) counterexamples.
 
I intend to post missing solutions (if any) next year.
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