Base 1 does make a huge difference though. In base 1, number length is linear with respect to the size of the number - i.e. the number 10 needs 10 tallies. For any other base, the number length is logarithmic, i.e. the number 10 needs just 2 numerals in base 10 and still only 4 in base 2.
This is actually important in theoretical computer science, since computers would be much slower if you don’t assume an “efficient encoding” of numbers, i.e. a logarithmic sized encoding. Base 1 is not efficient.
Base 1 does make a huge difference though. In base 1, number length is linear with respect to the size of the number - i.e. the number 10 needs 10 tallies. For any other base, the number length is logarithmic, i.e. the number 10 needs just 2 numerals in base 10 and still only 4 in base 2.
This is actually important in theoretical computer science, since computers would be much slower if you don’t assume an “efficient encoding” of numbers, i.e. a logarithmic sized encoding. Base 1 is not efficient.
It is logarithmic size, it’s just the special case of log1. The implication being the higher the base, the more efficient the encoding.
Edit: 1 is supposed to be subscript, but it’s not showing properly in my app. Idk what it looks like for others
Log base 1 is undefined, no? It’s like division by zero.
PS: it looks like subscript.