Abhra Abir Kundu
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 Dec9 awarded Caucus Nov8 awarded Yearling Sep30 awarded Explainer Jun22 revised Prove that $(k.n)!$ is divisible by $(k!)^n$ added 357 characters in body Jun22 answered Prove that $(k.n)!$ is divisible by $(k!)^n$ Feb8 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? Feb8 accepted Continuous function between two topological space. Feb8 revised Continuous function between two topological space. added 27 characters in body Feb8 comment Continuous function between two topological space. @DanielFischer I mean all open subsets of $(R,\sigma)$ contained in $[0,1]$. Feb8 comment Continuous function between two topological space. @DanielFischer it is $[0,1]$ so it is closed in $(R,\sigma)$ Feb8 asked Continuous function between two topological space. Jan30 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 Jan7 revised Coefficient of $x^n$ in the series added 45 characters in body Jan7 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 $$1+2x+3x^2+4x^3+\cdots=\frac{d}{dx}\big(1+x+x^2+\cdots\big)$$ Jan7 answered Coefficient of $x^n$ in the series Nov25 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 Nov25 answered Let $N$ be a submodule of $R$-module $M$, $M/N$ is free $R$-module. Prove that $N$ is direct summand of $M$. Nov8 awarded Yearling Jul10 revised Triangle inequality, is this implication correct? added 80 characters in body Jul10 answered Triangle inequality, is this implication correct?