Thanks for the comments. 

> The description for the monad #: is misleading.  Likewise the 
> description for a&#.^:_1 y .

I say

#: y   2#: y enough 2s as needed

by which I mean, 'the 2 in #: is considered as repeated enough to
ensure that all significant bits of y are converted'.  I'll take
your point and I will word this better, but I hope that I
have the idea right.

> 
> There is insufficient coverage of rank (").  For example,
> the description of { gives various ways of using { ,
> but does not have one of the most common uses, which is
> 3 2 2 {"1 A  to index columns of an array.

I decided that rank was so basic to understanding J that I would
not be able to explain it on the reference card, but I'll add a few
examples as you suggest.

Henry Rich

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