"May I clarify a couple of points?
- is it true that the sequence of 2,000 winning numbers provided above is generated with a seed (a,b) consisting of a pair of positive integers less than 1,000 (after running the dynamics for over 30 million…"
"I have a question about the statement "Then you known for sure that your next number will be a winning one." If y(0) > 4 x(0) + 2 ( which is larger than 2 x(0) + 1/2), then y(t) > 4 x(t) + 2 for all t, and so x(t) - 256 x(t-8) = 255…"
"Hi Vincent. As often, your abstraction from numerical experiments is correct. We have x(t+1) = 2 x(t) + r(t), with r(t)=0 or 1 depending on y(t), therefore: x(t+8) = 2^8 x(t) + [2^7 r(t) + 2^6 r(t+1) + ...+ r(t+7)]. From here, x(t+8) - 256 x(t) is…"
"Here are a couple of skills that seem to be part of the Data Science job description:
- Very strong understanding of Hadoop - Good understanding of Matplotlib and/or Seaborn - Expert development understanding using Unix shell (bash)
It takes about 24 hours, sometimes less. Any contribution is approved within one day for high quality content such as your answer, and an infinite amount of time for spam submissions.
I read your answer very quickly, not sure if you answered it positively (meaning I was right) or negatively (meaning I was wrong.) Either way, it is a great answer, and I will check with my business partner if we can offer you the award for your answer. We are getting more and more contributions from smart FinTech people, I also invite you to download my new book Applied Stochastic Processes, Chaos Modeling, and Probabilistic Properties of Numeration Systems, available at https://www.datasciencecentral.com/profiles/blogs/fee-book-applied-stochastic-processes
Thank you for taking time looking into this problem.