1,124 reputation
1418
bio website mathoverflow.net/users/19885/…
location Between Two Moments
age
visits member for 3 years, 6 months
seen Jun 27 at 10:30

$T$. $S$. $Eliot$, Introduction to Dante's Inferno: " Hell is a place where nothing connects with nothing. "

$Johann$ $von$ $Neumann$: " In mathematics you don't understand things, You just get used to them. "

$A$. $A$. $Zinoviev$: " Where there are problems, there is life. "

$P$. $R$. $Halmos$: "I do believe that problems are the heart of mathematics, and I hope that as teachers, in the classroom, in seminars, and in the books and articles we write, we will emphasize them more and more, and that we will train our students to be better problem-posers and problem-solvers than we are. "

$Shahrooz$: " Physics is mirror front of universe, but mathematics is the rules of reflection. "


Jun
27
comment Can I find the gap between the two least eigenvalues of this special matrix A(t)?‎
@Tgh, can you give us some numerical results about your question?
Jun
26
answered How many triangles can a connected graph with $n$ vertices and $m$ edges have?
Jun
14
answered How networks with high largest eigenvalues are more robust?
Jun
8
comment Is there exist postive integer $x,y,z,w,n$ and $k$ such $x^{n},y^{n+k},z^{n+3k},w^{n+5k}$ be geometric sequence
Yes, let $x=y=z=w=1$ which is arithmetic progression with $d=0$ and $n$ and $k$ be arbitrary integer, and you get geometric sequence with $q=1$. Can you say a little about your problem and your motivation?
Jun
7
comment Existence of finite set of points in the revolving circles
Nice animation dear Joseph, thanks.
Jun
7
revised Existence of finite set of points in the revolving circles
I added a weaker version of the question.
May
30
comment Existence of finite set of points in the revolving circles
I mean $C$ contain strictly the point $x$, i.e, I like the interior case.
May
30
asked Existence of finite set of points in the revolving circles
Dec
18
comment Open problems with monetary rewards
Dear Voloch, I think you are right. But it is a little strange for me, why mathematicians should forget the heritage of the great mathematician like MacWiliams? It is just $10$ dollar, and I think someone must accept it and pay it in the future. If I can pay, I will accept it, maybe a good news.
Dec
17
answered Open problems with monetary rewards
Dec
11
awarded  Yearling
Nov
14
awarded  Nice Answer
Nov
5
answered Math books for advanced high school students
Sep
16
revised Non-DS circulant graphs
added 337 characters in body
Sep
16
comment Non-DS circulant graphs
In general, the answer is no, even for special type of graphs.
Sep
16
answered Non-DS circulant graphs
Aug
25
answered Largest eigenvalue adjacency matrix-link deletion
Aug
14
comment For integers $a \ge b > 1$ is $f(a,b) = a^b + b^a$ injective?
Since nobody answered the question until now (after 8 vote), it seems that it is hard. But where am I wrong? Let $a=b+x$, so for every fixed $b$, the function $f_b(x)=(b+x)^b+b^{b+x}$ is increasing in variable $x$. So induction on $b$ must solve the problem.
Aug
13
revised Cospectrality and dimension of graphs
Corrected a mistake
Aug
12
answered Cospectrality and dimension of graphs