"Here is code in R. I understand that the initial value of X is X[1], and the code outputs the first few digits of X[10,000], starting with initial value 0.3.
According to a previous post, the values obtained form a (non-independent)…"

victor zurkowski has not received any gifts yet

victor zurkowski replied to Vincent Granville's discussion Question: High Precision Computing in Python or R

"Here is code in R. I understand that the initial value of X is X[1], and the code outputs the first few digits of X[10,000], starting with initial value 0.3.
According to a previous post, the values obtained form a (non-independent)…"

Apr 13

victor zurkowski replied to Vincent Granville's discussion Question: High Precision Computing in Python or R

"R user here.
Browsing through an old paper lead my to look at the chaotic dynamic of $x_i = 4 * x_{i-1}*( 1 - x_{i-1})$. The paper suggests looking at the cumulative sums of $x - .5$, i.e.: $P_i = P_{i-1} + x_{i-1} - .5$, so I did, but I…"

Apr 13

victor zurkowski commented on Vincent Granville's blog post Fun Math: Infinite Nested Radicals of Random Variables - Connection with Fractals and Brownian Motions

"Even if X's >= 0,in case it is constant, equal to -c, and X not in [0,2], then c < -2, and Z ill defined. If X is in [0,2], then the definition of Z seems plausible.
The point of my comment is that in a seemingly…"

Oct 28, 2019

victor zurkowski commented on Vincent Granville's blog post Fun Math: Infinite Nested Radicals of Random Variables - Connection with Fractals and Brownian Motions

Oct 28, 2019

victor zurkowski commented on Vincent Granville's blog post Fun Math: Infinite Nested Radicals of Random Variables - Connection with Fractals and Brownian Motions

Oct 28, 2019

victor zurkowski commented on Vincent Granville's blog post New Stock Trading and Lottery Game Rooted in Deep Math

"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…"

Apr 23, 2019

victor zurkowski commented on Vincent Granville's blog post New Stock Trading and Lottery Game Rooted in Deep Math

"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…"

Apr 19, 2019

victor zurkowski commented on Vincent Granville's blog post New Stock Trading and Lottery Game Rooted in Deep Math

"From the public algorithm, the transition from x(t) to x(t+1) has 2 cases (one when 4x + 1 < 2y, and the other when not), so either x(t+1) = 2x(t) + 0, or x(t+1) = 2x(1) + 1."

Apr 17, 2019

victor zurkowski commented on Vincent Granville's blog post New Stock Trading and Lottery Game Rooted in Deep Math

"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…"

Apr 16, 2019

victor zurkowski commented on Vincent Granville's blog post New Stock Trading and Lottery Game Rooted in Deep Math

"If the value of the winning numbers are of the form x(t) - 256 x(t-8) for some suitable iteration t, how is it that the result is a number between 0 and 255? Are these integers or integers mod 256? "

Apr 16, 2019

victor zurkowski commented on Yoey Thamas's blog post What are the prerequisite skills required to become a data scientist in 2019?

"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)
- Tensorflow
-…"

Apr 12, 2019

- Company:
- Polymatiks

- Job Title:
- VP of Analytics

- Seniority:
- VP

- Short Bio:
- unabashed numeraty

- Interests:
- Networking

- At 10:23am on December 13, 2018, Vincent Granville said…
- 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..Best regards,Vincent

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