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 Yearling
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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 $7<e^2<8$
Feb
4
comment Prove that the Gaussian integer $a$ is a prime element if $N(a)=p$ or $p^2$ where $p$ is congruent t0 3 mod 4
Because $5=(2+i)\times (2-i)$. Look up for Fermat's theorem on primes of the form $4k+1$