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Mathematics
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Yimin
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11
Find all the function that satisfy : $f\left(\frac{xf(y)}{2}\right)+f\left(\frac{yf(x)}{2}\right)=4xy$
Feb 25, 2013
answer
11
Prove that $\frac{\pi}{4}\le\sum_{n=1}^{\infty} \arcsin\left(\frac{\sqrt{n+1}-\sqrt{n}}{n+1}\right)$
Feb 16, 2013
answer
10
Does $\sin(x)=y$ have a solution in $\mathbb{Q}$ beside $x=y=0$
Feb 16, 2013
question
9
Closed form of the sequence $a_{n+1}=a_n^2+1$
May 16, 2012
question
8
Determine complex polynomial
Mar 10, 2013
answer
8
Prove that $\frac{\int_0^1xf^2(x) \mathrm{d}x}{\int_0^1 xf(x) \mathrm{d}x}\le\frac{\int_0^1 f^2(x) \mathrm{d}x}{\int_0^1 f(x) \mathrm{d}x}$
Mar 1, 2013
answer
7
Proving that $r_1 r_2$ is a rational number (roots of a quartic)
Feb 27, 2013
question
7
prove uniqueness from orthogonality relation
Apr 1, 2016
answer
6
What should I know about Sobolev space?
Mar 7, 2013
answer
6
Calculate $f(3)$ such that $f(f(x))=x^2-5x+9$
Dec 7, 2015