6,525 reputation
826
bio website abhraabirk.wordpress.com
location Bangalore, India
age 21
visits member for 2 years
seen 22 hours ago

I am currently an undergraduate Student of B.Math(Hons.) of Indian Statistical Institute,Bangalore.


Nov
8
awarded  Yearling
Sep
30
awarded  Explainer
Jun
22
revised Prove that $(k.n)!$ is divisible by $(k!)^n$
added 357 characters in body
Jun
22
answered Prove that $(k.n)!$ is divisible by $(k!)^n$
Feb
8
comment Continuous function between two topological space.
Thanks a lot for the answer.I have another question.It will be helpful if you can provide an answer to that too.The question is the following- If $A\in \tau$ is closed then does it mean $\{1,0\}\in A$? I basically want to know whether $\{1,0\}$ belongs to every sets closure?
Feb
8
accepted Continuous function between two topological space.
Feb
8
revised Continuous function between two topological space.
added 27 characters in body
Feb
8
comment Continuous function between two topological space.
@DanielFischer I mean all open subsets of $(R,\sigma)$ contained in $[0,1]$.
Feb
8
comment Continuous function between two topological space.
@DanielFischer it is $[0,1]$ so it is closed in $(R,\sigma)$
Feb
8
asked Continuous function between two topological space.
Jan
30
comment Is there any good approximation for $\prod_{i=3}^k (n-i)$? $(n \gg k)$
You might use Stirling's approximation-en.wikipedia.org/wiki/Stirling%27s_approximation
Jan
7
revised Coefficient of $x^n$ in the series
added 45 characters in body
Jan
7
comment Coefficient of $x^n$ in the series
$ 1+x+2x+3x^2+\cdots=\frac{d}{dx}\big(1+x+x^2+\cdots\big) $ is not correct, rather it will be $$ 1+2x+3x^2+4x^3+\cdots=\frac{d}{dx}\big(1+x+x^2+\cdots\big) $$
Jan
7
answered Coefficient of $x^n$ in the series
Nov
25
comment Let $N$ be a submodule of $R$-module $M$, $M/N$ is free $R$-module. Prove that $N$ is direct summand of $M$.
You are welcome @user109584
Nov
25
answered Let $N$ be a submodule of $R$-module $M$, $M/N$ is free $R$-module. Prove that $N$ is direct summand of $M$.
Nov
8
awarded  Yearling
Jul
10
revised Triangle inequality, is this implication correct?
added 80 characters in body
Jul
10
answered Triangle inequality, is this implication correct?
Jul
10
comment For what integers $n$ does $\phi(2n) = \phi(n)$?
Now is it clear @Ozera