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Just Browsin'


Apr
4
revised A combinatorics question on a $n \times n$ grid
edited title
Apr
4
comment A combinatorics question on a $n \times n$ grid
If somebody could suggest an appropriate title for this problem, I would appreciate the gesture. Thanks.
Apr
4
asked A combinatorics question on a $n \times n$ grid
Mar
26
answered Mutual information and Independence
Mar
26
comment Linear algebra, polynomial problem
What is q(1)? What is q'(1)?
Mar
18
comment How to prove that equality?
@BigM: How do we know $f^3(e) = f(e)$ for every $e \in E$?
Mar
17
accepted The properties of graph and its relation with the largest eigenvalue
Mar
14
comment The properties of graph and its relation with the largest eigenvalue
I can see that when the inequality, in the last but one line, hits with equality, the proof goes through. But why is $\sum |x_v| \le \triangle |x_u|$ for all $u$? I can see that for a u such that |x_u| is maximum. Thanks for the hints and sorry for being dense!
Mar
14
comment The properties of graph and its relation with the largest eigenvalue
But we have to prove that G is regular! Arent you assuming that G is regular?
Mar
14
comment The properties of graph and its relation with the largest eigenvalue
It is given that $\lambda_1 = \Delta$ and we have to prove that the all ones vector is an eigenvector. I am not able to understand how your argument does that. Would you kindly elaborate?
Mar
12
asked The properties of graph and its relation with the largest eigenvalue
Mar
7
comment The rational unit distance graph is bipartite
Yeah thanks, realized how to prove it.
Mar
7
accepted The rational unit distance graph is bipartite
Mar
6
comment The rational unit distance graph is bipartite
I tried to 'deduce' (b) but it is not working. I tried scaling by the lcm of the denominators of the rationals in the cycle, but then lcm can be even and it spoils the parity in the argument. Can you give me a hint for the other side?
Mar
5
comment The rational unit distance graph is bipartite
Nice! Thank you :)
Mar
5
asked The rational unit distance graph is bipartite
Mar
5
revised Factorize $15a^2b^3 - 5a^3b^2 - 10a^4b$
I put in the dollar signs?
Mar
5
suggested suggested edit on Factorize $15a^2b^3 - 5a^3b^2 - 10a^4b$
Oct
24
comment Let $p_k$ be the $k$th prime, can it be shown for $p \ge 5$, that there is not always a twin prime between $p_k^2$ and $p_{k+1}^2$?
Hello Charles, I want to learn such heuristic methods. Where can I learn probabilistic estimation techniques for number theory? Can you suggest a book for a beginner (or video lectures)? Thank you.
Oct
20
answered How to solve the inequality $n! \le n^{n-2}$?