Mathematics
Ruben
  • Member for 8 years, 4 months
  • Last seen more than 1 year ago
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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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