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Philipp G. Sinicyn
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Prove the identity $ \sum\limits_{s=0}^{\infty}{p+s \choose s}{2p+m \choose 2p+2s} = 2^{m1} \frac{2p+m}{m}{m+p1 \choose p}$
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Solve $f(x) = \lambda \int\limits_{0}^1(\max(x,t)+xt)f(t)dt$
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Spectrum of $\int\limits_0^x f(t) dt$ operator
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Prove that $\sigma(AB) \backslash \{0\} = \sigma(BA)\backslash \{0\} $
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Prove the identity $\sum\limits_{s=0}^{\infty} {ps \choose m}{q+s \choose q} = {p+q+1 \choose pm} $
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Prove that $Af(x) = \frac 1x \int\limits_0^x f(t) dt$ isn't compact in $L_2[0,1]$
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How to solve Fredholm integral equation of the second kind? ($f(x)  \lambda\int\limits_0^1 9xtf(t) dt = ax^2  4x^2$)
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Livestatus doesnt work with Nagios on FreeBSD
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