3 ms·
Basically my ideas is: N = kb + r N - integer k - divisor r - remainder b - base So N can be written has a multiple of b plus the remainder. Now,
by graderjs 4y ago
Basically my ideas is:
N = kb + r
N - integer
k - divisor
r - remainder
b - base
So N can be written has a multiple of b plus the remainder.
Now, iterate with k.
k = k_2b + r_2
And so on, as every number can be written like this.
You end up with a polynomial in b
N = b^j.r_j + b^(j-1).r_{j-1} + ... + b.r_1 + r_0
Which is represented as a "numeral" by its coefficients (r_j..r_0)
One interesting property of this rep, is that for base phi (Golden Ratio ~ 1.618: (1+5^(0.5)/2)) no rep has a "101" subsequence. So basically then integers coded into base-phi get like a multipart/form-data or MIME encoding for free with the "boundary" being, the nonexistant sequence: 101.
I really loved to discover this! :) ;p xx ;p
- pyinstallwoes 4y agoI’m so glad someone finally worked on something like this. I’ve been compiling research in this direction for years. I have various ideas but haven’t had the motivation to see it through lately. It’d be interesting to optimize hardware on this direction. Have you seen this? https://neuraloutlet.wordpress.com/tag/ternary-tau-system/ https://neuraloutlet.wordpress.com/tag/ternary-tau-system/ The properties of such a system are remarkable.