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Mathematics
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123454321
  • Member for 9 years, 8 months
  • Last seen more than 3 years ago
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7
Determine the Galois group of the splitting $x^4 - 4x +2$ over $\mathbb{Q}$
Nov 25, 2015
7
Prove there are infinitely many integer solutions to $z^z = y^y x^x$ for with $x,y,z > 1$
Jan 26, 2017
5
Explain how to compute $\cos(2\pi/13)$ by solving quadratic and cubic equations only
Dec 9, 2015
3
Show a matrix satisfying $A^2 − 8A + 15I = 0$ is diagonalisable.
May 14, 2015
2
Find a non-principal ideal (if there exists any) in the rings Z[x], Q[x], Q[x, y]
Nov 10, 2014
2
Explain to me the difference between the notation $\mathbb{Q}( \sqrt2) $and$ \mathbb{Q}[ \sqrt2]$
Nov 22, 2014
2
Questions on the field extension $K = \mathbb{Q}[x]/\langle x^2 − 5\rangle$
Nov 22, 2014
2
Show that $\mathbb{Q}( \sqrt2) \neq \mathbb{Q}( \sqrt3)$
Nov 22, 2014
2
Show the subset $A$ of $\mathbb{R}^n$ is compact
Nov 24, 2014
2
Is the subset $[0, \sqrt2] ∩\mathbb{Q} ⊂ \mathbb{Q}$ closed, bounded, compact?
Nov 25, 2014