# Belgi

 21m reviewed Approve suggested edit on $E\left( \left|\frac{1}{n}\sum_{j=1}^n X_j\right|^p \right) \le \left( \frac{1}{n}\sum_{j=1}^n E(|X_j|^p)^{1/p} \right)^p$ 43m revised Finding the Taylor series of $f(z)=\frac{1}{z}$ around $z=z_{0}$deleted 1 characters in body 52m asked Finding the Taylor series of $f(z)=\frac{1}{z}$ around $z=z_{0}$ 11h awarded Constituent 19h asked A question about the definition of$\sigma|\approx p$ for a sequence $\sigma$ and a proposition $p$ 2d accepted Calculating the Fourier series of $x^{3}$ 2d accepted Limit of $u(x,y),v(x,y)$ at $0$ where $f(z)=u+iv$ 2d accepted Finding what a line with angle $\theta$ maps to under $f(z)=\frac{1}{2}(z+\frac{1}{z})$ 2d accepted Proving that $\nu(E\cap(A_{1}\cup A_{2}))=\nu(E\cap A_{1})+\nu(E\cap A_{2})$ 2d accepted Calculating the following integral using complex analysis: $\int_{0}^{\pi}e^{a\cos(\theta)}\cos(a\sin(\theta))\, d\theta$ 2d accepted How to calculate $\sum_{k=1}^{k=n}\frac{\sin(kx)}{\sin^{k}(x)}$? (second question) 2d accepted $k(tx,ty)=tk(x,y)$ then $k(x,y)=Ax+By$ 2d accepted Calculating $\lim_{n\to\infty}\sum_{k=1}^{\infty}\frac{(-1)^{k}\arctan(n^{2}k)}{n^{\alpha}+k^{3/2}}$ 2d revised What holds in a deductively complete system?added 2 characters in body 2d asked What holds in a deductively complete system? 2d awarded Electorate May 14 comment Using $p\supset q$ instead of $p\implies q$Thank you for sharing this with me, this was very interesting to read! May 14 comment Using $p\supset q$ instead of $p\implies q$Thanks I got confused. what I explained is something I saw when I took the basic set theory course May 14 accepted Using $p\supset q$ instead of $p\implies q$ May 14 comment Using $p\supset q$ instead of $p\implies q$Thanks, now the notation is clear. Also thank you for explaining the difference between the two arrows notation