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by westurner
911 days ago
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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 Number systems > 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) |
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