12 Sep
2015
12 Sep
'15
4:50 a.m.
What's the nicest way to picture the product set S=DxDxDx... with D={0,1,2,...,8,9} as a subset of the reals so that lexicographic ordering of S is a restriction of the usual ordering of the reals?
f : (D x D x D x ...) --> R (d_0, d_1, d_2, ...) |--> sum(d_n / 11^n : n in {0, 1, 2, ...}) has the property you describe, unless I'm missing something. Sincerely, Adam P. Goucher