what does J operator #: do?
What does the dyadic J operator #: do? I find its behavior puzzling
in light of its behavior as a monadic operator.
As a monadic operator, #: gives the base two expansion of its positive
integer argument.
#: i. 8
0 0 0
0 0 1
0 1 0
0 1 1
1 0 0
1 0 1
1 1 0
1 1 1
The operator #. is the left inverse of #:
#. #: i. 8
0 1 2 3 4 5 6 7
Furthermore, the dyadic version of #. behaves as follows:
given a positive integer m and the list of positive integers a,
m #. a gives the decimal value of the a considered as an integer base m.
5 #. 1 3 2
42
This leads me to expect m #: n to be the expansion in base m of the
decimal integer n. This is not the case. Is there an easy way to
get the expansion base m of n? Perhaps I don't quite get the picture
and am missing the obvious?
