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  • 35 votes cast
Jul
25
awarded  Popular Question
May
31
awarded  Peer Pressure
May
5
comment $\frac{1}{n}\int\limits_0^1 f(x) dx=\int\limits_0^{\theta(n)} f(x) dx+\int\limits_{1-\theta(n)}^1 f(x) dx $
Thank you so much @Elaqqad....:)
May
5
accepted $\frac{1}{n}\int\limits_0^1 f(x) dx=\int\limits_0^{\theta(n)} f(x) dx+\int\limits_{1-\theta(n)}^1 f(x) dx $
May
5
comment min $\int_0^1 (f''(x))^2 \, dx$
So minimum is 12 right?
May
5
accepted min $\int_0^1 (f''(x))^2 \, dx$
May
4
comment Convergence of $\sum\limits_{n=1}^{\infty}\left (1-n\sin \frac{1}{n}\right)^\alpha$ for parameter $\alpha$
Thanks a lot.....:)
May
4
accepted Convergence of $\sum\limits_{n=1}^{\infty}\left (1-n\sin \frac{1}{n}\right)^\alpha$ for parameter $\alpha$
May
3
awarded  Yearling
May
3
comment Convergence of $\sum\limits_{n=1}^{\infty}\left (1-n\sin \frac{1}{n}\right)^\alpha$ for parameter $\alpha$
Then the answer should be $\alpha \geq 1$, right?
May
3
accepted normal matrix A $= \left( \begin{array}{cc} 2 & i \\ i & 2 \end{array} \right) $
May
3
comment normal matrix A $= \left( \begin{array}{cc} 2 & i \\ i & 2 \end{array} \right) $
thanks...fool me, I was taking product without considering transpose.
May
3
awarded  Self-Learner
May
3
comment min $\int_0^1 (f''(x))^2 \, dx$
can somebody provide me the other link?
May
3
comment normal matrix A $= \left( \begin{array}{cc} 2 & i \\ i & 2 \end{array} \right) $
but in the question it is asked that first column and second row has all positive entries, so if we change the eigenvectors accordingly, it is not giving a diagonal matrix. There is something wrong in my way, please check it once.
May
3
reviewed Approve $\frac{1}{n}\int\limits_0^1 f(x) dx=\int\limits_0^{\theta(n)} f(x) dx+\int\limits_{1-\theta(n)}^1 f(x) dx $
May
3
asked normal matrix A $= \left( \begin{array}{cc} 2 & i \\ i & 2 \end{array} \right) $
May
3
asked $\frac{1}{n}\int\limits_0^1 f(x) dx=\int\limits_0^{\theta(n)} f(x) dx+\int\limits_{1-\theta(n)}^1 f(x) dx $
May
3
awarded  Custodian
May
3
reviewed Approve min $\int_0^1 (f''(x))^2 \, dx$