#takeabranch — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #takeabranch, aggregated by home.social.
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Draw a distinction in a medium made of the same stuff as your mark
If you miss, can you tell?
The distinction creates two states; the unique prime field over two states is 𝔽₂.
Odd primes means the beats die
Extensions require more than one bit
Neither can exist
The minimal perfect code over 𝔽₂ is Hamming(7,4)
Thus unique geometry of a boundary where signal and noise are the same thing is PG(2, 𝔽₂)
Everything else is ...
Geometry
-
Draw a distinction in a medium made of the same stuff as your mark
If you miss, can you tell?
The distinction creates two states; the unique prime field over two states is 𝔽₂.
Odd primes means the beats die
Extensions require more than one bit
Neither can exist
The minimal perfect code over 𝔽₂ is Hamming(7,4)
Thus unique geometry of a boundary where signal and noise are the same thing is PG(2, 𝔽₂)
Everything else is ...
Geometry