751 reputation
318
bio website adhvaithist.blogspot.com
location Chennai, India
age 18
visits member for 2 years, 11 months
seen Apr 30 '12 at 5:02

http://adhvaithist.blogspot.com/

Class XI student.

Currently learning Topology from "Topology without tears" and Elementary Number Theory from "Lecture notes of Prof. WWL Chen" and C++ from "Cplusplus"

I am on stackoverflow, math.stackexchange, cstheory.stackexchange sites.


Jul
2
awarded  Curious
May
11
awarded  Popular Question
Dec
28
awarded  Nice Question
Dec
1
awarded  Nice Question
Oct
27
awarded  Popular Question
Aug
27
awarded  Yearling
Jun
16
awarded  Popular Question
Aug
27
awarded  Yearling
May
30
awarded  Nice Question
Sep
13
comment Sum of square roots of conjugate
For whatever it is worth, the question you have asked is the second problem of the very first IMO in $1959$. (imo-official.org/problems.aspx)
Sep
11
answered Integer solutions to $(a_1+a_2+\cdots+a_n)^n=a_1a_2\cdots a_n$?
Sep
7
awarded  Enlightened
Sep
7
awarded  Nice Answer
Sep
7
awarded  Teacher
Sep
7
answered Prove that $ \frac{1}{1}-\frac{1}{4}+\frac{1}{7}-\frac{1}{10}+\ldots= \frac{1}{3} \left( {\frac{\pi}{\sqrt{3}}+ \log 2} \right)$
Sep
7
comment Efficient ways to read and learn a new topic
Thanks to those who have answered. To those who want to close this question, shouldn't I ask how to do mathematics here? I saw this question (math.stackexchange.com/questions/41973/…) in the related questions which I think is more localized going by the comment to close down this question. If questions on doing mathematics should not be asked on the site, there should be a universal rule.
Sep
6
asked Efficient ways to read and learn a new topic
Sep
5
comment Basis for a topology with a countable number of sets
Thanks. That clarified everything.
Sep
5
accepted Basis for a topology with a countable number of sets
Sep
4
comment Basis for a topology with a countable number of sets
Thanks. As I have mentioned in the comments below the question, I wanted to show for the first one we must have $\{x\} \in \tau(\mathcal{B})$ for every $x \in X$. But how do I proceed to show that if the basis is a countable set? The basis $\mathcal{B}_0$ is uncountable. But how does it guarantee any other basis is also uncountable? I can see it is true but I am missing the connecting link. For the second one, every subset of $X$ is countable. But how do I proceed to show that the basis for the topology is also countable?