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Quite new at Number Theory, all I tried so far is converting this into a congruence but I am not sure what to do after that....
Asked on 02/09/2021 by Shlok Jain
5 answerI awoke with the following puzzle that I would like to investigate, but the answer may require some programming (it may not either). I have asked on the meta...
Asked on 02/09/2021
13 answerThe question is exactly the same as in Permutations - n people and n seats Copied here for your reference: Imagine we have a room containing $n$ seats...
Asked on 02/09/2021
3 answerIn a book it is written that by writing f(n)=omega_infinity(g(n)) we mean that there exists a positive constant c such that f(n)>=cg(n)>=0 for infinitely many integers n. Whereas a Big...
Asked on 02/09/2021 by tyMind
1 answerI'm trying to compute the following integral:$$int_0^{infty}frac{sqrt{x}}{1+x^4}dx$$ I'll not write down everything I've done, but choosing the branch cut on the positive real axes we have that: ...
Asked on 02/09/2021 by DoctorK_
3 answerSO I have this question: I think the question is asking me to do a a partial differentiation to find dx/ds, dy/ds,...
Asked on 02/09/2021
1 answerGiven: $x_1, x_2....x_n$ is a random sample and an iid with normal distribution $N(0,theta)$ where variance is the unknown paramter. I calculated the sufficient statistic for this case...
Asked on 02/09/2021 by tanay mukherjee
1 answerI computed using Sage the fundamental group of some topological space and got the infinite group$$langle a, bmid aba^{-1}barangle.$$By the change of variables $x=b^{-1}$ and ...
Asked on 02/09/2021
1 answerShow that $sum_{k=2}^{infty} frac {1}{sqrt k+k(-1)^k}$ converges or diverges. My attempt is ot first rewrite and see if the sequence is convergent according to the Leibniz test: $frac...
Asked on 02/09/2021 by Labbsserts
1 answerI am having difficulty with the following problem. Show that, a finite non-abelian simple group cannot have an abelian subgroup of prime power index. What I was thinking is that...
Asked on 02/09/2021 by Devendra Singh Rana
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