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Approximating chaotic systemsReply
I only recently started reading about PRNGs. I was surprised to learn that some PRNGs that are considered cryptographically secure aren't one large cycle in state space, but instead have some short cycles. That indicated to me that if the PRNG was seeded to start in those short cycles, the PRNG wouldn't be random enough. I'm aware of some satisfiability modulo theory libraries used to solve for the seed given PRNG output. But in those cases, you know the PRNG because it's in the code, and th
Aug 23, 2023, 11:21 am - Wavepack - Mathematics Forum

Chi-Squared Goodness of Fit Test for LotteriesReply
Texas helps to keep the Powerball and Mega Millions honest by publishing the lotto draw results going back to 2015 or so. That eases independent analysis by the public. They preserve pick order, which is important for analysis. The Arizona Lotto also stinks when it comes to publishing draw results. Only six months back, position information not recorded, and it's not available for file download (cvs or text would be sufficient). State-run lottos screw over the public big time by keeping win
Feb 3, 2023, 12:35 pm - Wavepack - Mathematics Forum