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 Mar 4 comment Local Martingale Question This question seems like it is asking 'Is a local martingale a martingale?' Feb 26 awarded Yearling Jan 27 answered Bound on variance of bounded random variable Nov 4 comment Integral of rationals This function is also integrable using techniques like the MacShane integral or the Kurzweil-Henstock integral, and can be a good illustration of why they are more powerful than the Riemann integral. Nov 3 revised Which of the following powers is bigger: $2^{41}$ or $3^{24}$? added 536 characters in body Nov 3 comment Which of the following powers is bigger: $2^{41}$ or $3^{24}$? @vaxquis How did you work out $\log^{2}3$? Did you use a calculator? Nov 3 awarded Nice Answer Nov 3 comment Which of the following powers is bigger: $2^{41}$ or $3^{24}$? @vaxquis Making a trivial problem non-trivial by solving it in a convoluted way isn't mathematics. Nov 3 comment Which of the following powers is bigger: $2^{41}$ or $3^{24}$? @vaxquis We don't agree about the 'obvious' meaning of the word 'Calculate' then. Nov 2 comment Which one is bigger? $2011!$ or $1006^{2011}$ Why is the canonical answer of this duplicate itself a duplicate? Nov 2 answered Which of the following powers is bigger: $2^{41}$ or $3^{24}$? Nov 2 comment Prove that $\frac{x^n}{n!} < 1$ for $n$ sufficiently large I understand this @ToddWilcox but I think that on balance it is confusing to take this approach, especially for someone who is learning about RA proofs. Nov 2 comment Prove that $\frac{x^n}{n!} < 1$ for $n$ sufficiently large I downvoted this (I'm not the original downvoter). The power series and the 'ratio test' is a complete red herring here. Instead convergence to 0 can and should be proved directly. If you can prove the condition of the ratio test, then the fact that the limit is below 1 follows immediately. Oct 18 awarded Custodian Oct 18 revised Is total variation a continuous map from complex measures to positive measures? added 1 character in body Oct 17 comment Is total variation a continuous map from complex measures to positive measures? Yes, you are right. Oct 17 answered Is total variation a continuous map from complex measures to positive measures? Oct 16 comment Is Aleph 0 a natural number? @DavidRicherby that's not how it works. Firstly there is no presumption that you can reverse the operation of adding 1. Secondly, either you defined your thing by saying it is something else + 1, and that thing is a natural number. Or you didn't. If you didn't then it isn't. Oct 16 answered Is Aleph 0 a natural number? Oct 12 awarded Popular Question