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 Apr2 accepted Galois group of $x^5-x+1$ over $\mathbb{F}_7$ Mar30 awarded Curious Mar30 comment Galois group of $x^5-x+1$ over $\mathbb{F}_7$ That doesn't seem right. $\phi_2$ is the permutation $(45)$ and $\phi_3$ is $(345)$, so together they generate $S_3$. Mar29 asked Galois group of $x^5-x+1$ over $\mathbb{F}_7$ Mar26 awarded Scholar Mar26 accepted Why are separable and normal field extensions so called? Mar25 asked Why are separable and normal field extensions so called? Feb16 asked Equivalent definition of Cauchy sequence Sep7 awarded Teacher Aug31 awarded Promoter Aug27 comment Expected frequency of most frequent die roll Say the partition is {7,4,4,4,1,1}, so n=21. For the 7-frequency event we have mC1 choices, for the three 4-frequency events we have (m-1)C3 choices, for the two 1-frequency events we have (m-4)C2 choices. Then we arrange the events with 21!/(7!4!4!4!1!1!). Aug27 comment Expected frequency of most frequent die roll The question is whether there is a closed form for E(n,m). Aug27 asked Expected frequency of most frequent die roll Aug17 answered What is the probability that the maximum number of shots fired successively from a type A gun is $2$? Apr14 awarded Supporter Nov2 comment Existence of maximum value of a discontinuous function Thank you - I never would've thought of such crazy functions. Nov2 awarded Editor Nov2 revised Existence of maximum value of a discontinuous function added 282 characters in body Nov2 awarded Student Nov2 asked Existence of maximum value of a discontinuous function