/tech/ - Soyence and Technology

duodecimal

the best one would have nice properties like recover all p‑adic and archimedean digit systems but Attempting to pick one integer (or real) B that does that runs head‑long into a Gₘ‑gerbe on Spec ℤ whose classes are measured by the idele class group. The only way to trivialize that gerbe—i.e. to get a truly universal digit‐system—is to pass to:

- the adele ring A_Q (in the pro‑etale ∞‑topos), or
- the field with one element F₁ (in the ∞‑category of Λ‑rings / monoidal sheaves).

So: there is an objective answer, but it isn’t "pick base B∈ℕ." It’s either "use A_Q" or "use F₁".

base thrembo

>>8102
up because its an effort post and i need another chud to evaluate that

>objectively
>best
Fucking moron value is subjective

>>8812
retard

>>9015
Yes I'm aware that you are

>>8091
keyed

>>10183
takes one to know one :3

>>8087 (OP)
Read this thread and educate yourself, chuds.
https://www.reddit.com/r/math/comments/3ldiov/base_e_number_system/

>>9015
can you tell us which flavor of ice cream is "ubjegdivly duh bezd"? fuckin idiot

>>8087 (OP)
binary, and powers of 2
2 4 8 16 32 64 128 256 512 1024, and do math with those, this is how traditional digital computers handle it, and it makes perfect sense once you get used to it.

>>8102
keyed mathchad

>>10209
there is an answer, see >>8102

>>8091
this. it has the most divisors and hours:minutes:seconds is compatible with it.

something like a base as factorial of prime numbers (like 2*3*5*7*11*13) so we can have more fractions representable with finite amounts of digits like 1/7=0.3 or something.

Real numbers.

Unironically hexadecimal both computers and humans can comprehend, easiest conversion from and to binary. The white man's number system.