thkang
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 Oct 12 awarded Popular Question Nov 23 revised using markov chains to solve a project-euler problem? edited tags Nov 23 comment using markov chains to solve a project-euler problem? some hints who are trying to solve this problem: if only ten players are involved, the expected plays required rounded to ten significant digits is 40.56192661 Nov 23 accepted using markov chains to solve a project-euler problem? Nov 23 answered using markov chains to solve a project-euler problem? Nov 23 accepted simple probability and coin flip Nov 22 revised Solving $a_1x^{4999} + a_2x^{4998} + a_3x^{4007}+…+a_{5000}x^{0}=n$ edited tags Nov 22 comment Solving $a_1x^{4999} + a_2x^{4998} + a_3x^{4007}+…+a_{5000}x^{0}=n$ of course it is from not-so-friendly geometric-like sequence and I solved it using WolframAlpha trial and verified it myself using binary search. And it turns out that solving the equation this way was wrong for this kind of problem. Nov 22 asked Solving $a_1x^{4999} + a_2x^{4998} + a_3x^{4007}+…+a_{5000}x^{0}=n$ Nov 22 awarded Scholar Nov 22 accepted if multiple dice are thrown, how can I calculate their variance and mean? Nov 21 comment if multiple dice are thrown, how can I calculate their variance and mean? surely it has to fair dice... Nov 21 asked if multiple dice are thrown, how can I calculate their variance and mean? Nov 20 comment simple probability and coin flip thank you. It wasn't obvious for me when I started thinking about this, but after your explanation it is crystal clear. It is used to solve this: projecteuler.net/problem=323 Nov 19 revised Proving the existence of a non-decreasing sequence added 403 characters in body Nov 19 comment Proving the existence of a non-decreasing sequence What do you mean by one example of ${b_n}$ ? judging from the question, isn't my trivial $a_n$ a sequence of positive number whose sum converges? Nov 19 comment Proving the existence of a non-decreasing sequence if $a=2$, I think it is the solution you're looking for.. Nov 19 answered Proving the existence of a non-decreasing sequence Nov 19 comment simple probability and coin flip 1) if you get 0 heads, flip again. 2) number of round. 3) we can't go over, since we're flipping (3-s) coins. Nov 19 comment Use the ratio test to determine if the infinite series $\displaystyle \frac{3^n}{2^n +1}$ converges or diverges. latex is really hard!