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the cyberpunk present is weird as fuck: the latest Shai Hulud malware wave contains an LLM prompt to create biological weapons and nuclear weapons, with the purpose to trip LLM safety refusals so that LLM-based code scanning wont see the malware
https://socket.dev/blog/mini-shai-hulud-miasma-and-hades-worms-target-bioinformatics-and-mcp-developers-via-malicious
my intuition kept telling me that using an irrational base system would end up with all integers being irrational. didn’t realize how easy it is to prove it otherwise
ie, I had a very bad conjecture and I gained better understanding why it was wrong
trivial,
Impossible in decimal, but if we use Pi as a base, then the final (and first digit) is 1
Pi in base pi is 10.
how the fuck i didn’t realize that!!!
Fuck,
so 1 in base pi is still 1, but 10 is pi
makes sense,
1 =pi ^ 0
10=pi^1
100 = pi^2
my intuition kept telling me that using an irrational base system would end up with all integers being irrational. didn’t realize how easy it is to prove it otherwise
ie, I had a very bad conjecture and I gained better understanding why it was wrong
1 in base pi would be 1/π, wouldn’t it? Why 1?
1 in base 10 isn’t 1/10 and in hexadecimal it’s not 1/16.
Decimal integers in base pi are 1, 2, 3, 10.2201…, 11.2201…, 12.2201…, 20.2201… and so on.
Basically: 10.2201… = 1 * pi^1 + 0 * pi^0 + 2 * pi^-1 + 2 * pi^-2 … which approaches 4 as you add digits.
But 1 is just 1*pi^0