3 ms·
Radix: https://en.wikipedia.org/wiki/Radix https://en.wikipedia.org/wiki/Radix - "Golden ratio base is a non-integer positional numeral system" (2023) https:/
by westurner 3y ago
Radix: https://en.wikipedia.org/wiki/Radix https://en.wikipedia.org/wiki/Radix
- "Golden ratio base is a non-integer positional numeral system" (2023)
https://news.ycombinator.com/item?id=37969716 https://news.ycombinator.com/item?id=37969716
Number systems > Classification: https://en.wikipedia.org/wiki/Number#Classification https://en.wikipedia.org/wiki/Number#Classification ; N natural numbers, Z[±] integers, Q rational/s, R Reals, C complex numbers (with complex conjugate exponents), Infinity or Infinities, ; C ⊆ R ⊆ Q ⊆ Z ⊆ N
***
i^4x ~= e^iπx
Also, perhaps this is a better representation for a continuum of reals:
e^(x*yi*zπ)
But then there's no zero; only quantities approaching zero.
e^(x*yi*zπ) * e^(a*bi*cπ)
But then there are still no negative numbers, so:
sign * e^(x*yi*zπ) * e^(a*bi*cπ)
Where `sign` is in {-1,0,1}, or maybe just this would be the ultimate radix:
sign * e^(x*yi*zπ)
But then represent infinity, or infinity_expr1 (because e.g. 1/x != 2/x except at x=0)