P Vanchinathan
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 Apr 12 awarded Yearling Apr 1 comment Let $q \in \mathbb C$, $\|q\|=1$ and $q^n \neq 1, \forall n \in \mathbb N$. Show that $\{q^n: n \in \mathbb N\}$ is dense in $S^1$ This is not an answer, but relevant: Your condition implies that the set of powers of $q$ is infinite. And all these numbers have modulus 1. So we have an infinite subset in a closed bounded set (compact) so it will have at least one limit point. Mar 30 answered Let $L$ be a subgroup of $\mathbb{Z}^3$ of index $16$. What are the possibilities for $\mathbb{Z}^3 /L$? Mar 29 comment Showing a Variety is Rational? @user26857: That is easy to explain. That hint suggested that one should have some knowledge of cuspidal cubic and folium of descartes. I think I have shown that is unnecessary. Also I have given something more general is true. Mar 29 answered Showing a Variety is Rational? Mar 6 answered Number of cyclic subgroups of the alternating group $A_8$ Feb 28 comment Compressing permutations @J.-E.Pin: Having the freedom means, finding all such permutations that does the job and identifying the most economical one. This depends on the given 64-bit block. Looks like we are better off saving the 64-bit block as it is, rather than as a permutation that groups the like-bits. Feb 28 answered When is $i$ contained in $Q(\zeta)$ Feb 19 revised Does there exists any $x$ such that $x\geq AM\geq GM?$ If not,how do I prove it is unbounded? fixed typo Feb 13 comment Are there two different unbounded sequences such that if you subtract them they converge to $0$? @JesseMartinez: As so many answers have come and so much time has passed it is time for you to read them learn from them and decide to accept one of them. It is a good practice to do that. (unless you fel the answers were unhelpful). Feb 11 comment Understanding Eigenvalues, Eigenfunctions and Eigenstates The animated picture is worth many words and explains it better. I'd be glad to know how this kind of magic is executed. Feb 11 answered Understanding Eigenvalues, Eigenfunctions and Eigenstates Feb 11 comment Compute the matrix with the standard basis. Read the paragraph starting "Let us.." in my answer above. This is already covered there. I have said multiply using the group law. That means composition of permutations. Feb 11 answered Compute the matrix with the standard basis. Feb 11 answered Are there two different unbounded sequences such that if you subtract them they converge to $0$? Feb 10 answered Find $A$ and $B$ such that $A⊈B$ and $B⊈A$? Feb 9 answered I don't understand a step in the proof of Euler's Theorem, please explain Feb 6 answered (i) $\{(x,y) \in \mathbb{R}^2 |\;xy = 1\}\,\bigcup\, \{(x,y) \in \mathbb{R}^2 |\;y = 0\}$ is not connected Feb 4 answered Prove that \$7