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Ruben

Apparently, this user prefers to keep an air of mystery about them.

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  • Member for 6 years, 10 months
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  • Last seen Apr 7 at 16:24

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6 Proving that the polynomial $10X^6-15X^2+7$ is irreducible in $\mathbb{Q}[X].$ Jul 2 '18
4 General quadratic diophantine equation. Nov 25 '13
2 We are looking for a function $f(x)$ that satisfies the functional equation of both $f(1)=1$ and $f(x+1)=xf(x)$. Nov 27 '13
2 Let $a,b \in R^5$ be two independent vectors and let $W$ be the subspace spanned by $a,b$. Prove that $U\cap W$ contains a non-trivial vector Dec 1 '13
2 Finding a closed subset in $\mathbb{R}^2$ such that its image is not closed in $\mathbb{R}$ Jul 29 '14
2 If $H$ is the area of the cardioid $r=1+\cos( \theta )$, calculate the double integral $ \iint\limits_H \, (x+y) \mathrm{d} A. $ Feb 14 '16
2 How to reverse the integration order of the double integral $\int_{\theta=0}^{2\pi}\int_{r=0}^{1+\cos\theta}r^2(\sin\theta+\cos\theta)drd\theta$. Feb 14 '16
2 Proving that a ball is open in Euclidean metric space. Jun 24 '16
2 Prove/disprove: If $R'$ is a subring of $R$ and $R'$ is a domain, then $R$ is a domain. Jun 15 '18
1 Finding a single generator for $\ker(\varphi)$; $\varphi : \mathbb{Z}[i] \to \mathbb{F}_{13}$ is defined by $\varphi (a+bi) = a + 5b (\mod{13}).$ Jun 16 '18
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