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$ 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
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