> a number system in base e (so 1, 2, 2.1, ..., 2.7, 2.71, ..., 10)
I don't think I understand the significance of those dots. How would one write, say, 100 in this number system?
With that said, the usual "base" notation works perfectly well for non-integer radices, though it can behave in unexpected fashion. Thus, I might write 12012 for e^4 + 2e^3 + e + 2, which is approximately 99.49, and so can be regarded as the "e-adically integer" part of 100.
I don't think I understand the significance of those dots. How would one write, say, 100 in this number system?
With that said, the usual "base" notation works perfectly well for non-integer radices, though it can behave in unexpected fashion. Thus, I might write 12012 for e^4 + 2e^3 + e + 2, which is approximately 99.49, and so can be regarded as the "e-adically integer" part of 100.