Auwvax.357
net.lang.apl
utzoo!decvax!harpo!uwvax!greg
Thu May 6 10:23:22 1982
a problem and a solution
In a corner of an APL News special edition for the APL81 Conference,
Jeff Shallit gives the following problems: find two expressions,
each six characters or less, the first producing the vector 0 0 1 0 1,
and the second producing 0 1 0 0 1. I am only able to come up with
solutions that work in origin zero. Can anyone come up with solutions
that work in origin 1, or better, solutions that are origin-independent?
- Greg Johnson
U Wis - Madison
By the way, the solution I had in mind for the problem of sorting the
rows of a matrix into lexicographic order involves decoding each row
into a scalar quantity, sorting those scalars, and then re-expanding
into a matrix. This solution assumes an arbitrary-precision machine,
since for any large number L, a matrix containing the row
1, ( ceiling 2 log L ) rho 0
when decoded will require that the machine be able to represent a number
larger than L.
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