6,525 reputation
827
bio website abhraabirk.wordpress.com
location Bangalore, India
age 21
visits member for 2 years, 1 month
seen 6 hours ago

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


Dec
9
awarded  Caucus
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?