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Nov
5
comment $\lim\limits_{n\to+\infty}\frac{2^{n^3}}{n!5^{n^2}-n^n}$ without special means
Oh I did some stupid mistakes - I have been able to get the desired result!
Nov
5
comment $\lim\limits_{n\to+\infty}\frac{2^{n^3}}{n!5^{n^2}-n^n}$ without special means
My results are always converging to 0 like $1/n!$ or $1/(5^{n^2}-1)$. Do you know what I might have done wrong?
Oct
22
comment Is it possible to make a graph eulerian by adding exactly one node?
This lemma and Michaels answer helped me out!
Oct
22
comment Is it possible to make a graph eulerian by adding exactly one node?
The handshaking lemma and your edit gave me a good clue to solve this. Thanks!
Oct
22
comment Is it possible to make a graph eulerian by adding exactly one node?
I am sorry, then I have translated it wrong. I have to work with a cycle - editing it now!
Oct
22
comment Is it possible to make a graph eulerian by adding exactly one node?
I know that a connected graph has an Eulerian path iff all vertices have even degree. I even proved that yesterday, isn't that contradicting with your mentioned property?
Oct
22
comment Find the remainder of $128^{1000}/153$.
@Rain: One can add LaTeX code between dollar signs. If you know how to write LaTeX code you will profit here ;)
Oct
20
comment Relation of (un)bounded (in)finite sets and $\min$/$\max$
(1) As mentioned in fgp's answer I will reuse your idea. Quite easy, when being reminded of this fact with $1/n$. (2) I like $A=\{1\}$ more, but yeah quite complex what I did there. (3) I'm sorry, but I didn't really get everything you wanted to explain. fgp's description was more intuitive on the first look. (4) Ok :)
Oct
20
comment Relation of (un)bounded (in)finite sets and $\min$/$\max$
(1) I do not want to use injective maps as proof though I like your idea. However I will use Brians general approach with $\forall x\in\mathbb R,x>0:\exists n\in\mathbb N:0<1/n<x$. (2) My approach is waaaaay to complex :D (3) Good idea going through all elements and comparing them with a finite number of operations. I will reuse this one. (4) Thanks, however my idea was really easy and nothing special.
Oct
19
comment Prove equivalence of conditions for a tree
Ok I will keep that in mind. Thanks for now.
Oct
19
comment Prove equivalence of conditions for a tree
I did work out extensions for both arguments based on your hints. Does the current version suffice now?
Sep
4
comment 3rd roots of unity as eigenvectors
Thanks for your efforts - just because of this I will accept your answer as it is now complete with both descriptions!
Sep
4
comment 3rd roots of unity as eigenvectors
I tried it now a few times and fail though I do use your suggested relations. My current matrix looks like $((1,0,0)^T,(1+\zeta^2,1,0)^T,(0,1+\zeta^2,-2\zeta-\zeta^2)^T)$. I assume that the rank should be 2 and therefore at least my last line is wrong :/
Sep
4
comment 3rd roots of unity as eigenvectors
I got used to write $z$ and $\lambda$ for the variable of my characteristic polynomials so I just didn't change anything to be at least consistent with my notation, thanks for the hint though :)
Sep
4
comment 3rd roots of unity as eigenvectors
I am trying to solve it with the general approach as we both mentioned but I get horrible results - is there any way I could persuade you to show me how to use the kernel approach in this particular case?
Aug
23
comment Dimensions of symmetric and skew-symmetric matrices
@RijulSaini: Thanks, but enzotib's answer seems to be easier to understand!
Aug
23
comment Dimensions of symmetric and skew-symmetric matrices
But this is no explanation why the symmetric matrices have the specified $\dim$.
Aug
23
comment Dimensions of symmetric and skew-symmetric matrices
I did edit it - thanks for the reminder!
Jul
7
comment Maximum-likelihood estimation for continuous random variable with unknown parameter
Now it looks comprehensible. Thanks for reviewing this.
Jul
7
comment Maximum-likelihood estimation for continuous random variable with unknown parameter
Sorry, but in the first equation I still cannot see why the $x_j$ from $(2\lambda x_j)$ disappeared (assuming your $\chi$ is my $\textbf 1_A(x)$). I still get a $\left(\prod\limits_{j=1}^nx_j\right)$ term left to be multiplied with the rest.