Is $[\mathbb{Q}(x, y):\mathbb{Q}] = 2^r$ a sufficient condition for a point $(x, y) \in \mathbb{R}^2$ to be constructible by ruler and compass?
86877
Let $F$ be a Galois extension over $\mathbb{Q}$ with $[F:\mathbb{Q}]=2^n$, then all elements in $F$ are constructible
95459
$\mathbb{Q}(\sqrt{2+\sqrt{2}})$ is Galois over $\mathbb{Q}$?
147047
Does there exist a polynomial $p(x) \in \mathbb C[x]$ such that $p(x) \notin \mathbb R[x]$ and $p(x)p(-x)=p(x^2)$?
20467
Show that $(y_n)\in l^q$
134310
Minkowski sum of a positive Lebesgue measure set and $\mathbb{Q}$.
134442
Can a matrix in $\mathbb{R}$ have a minimal polynomial that has coefficients in $\mathbb{C}$?
67234
The function $G: x \mapsto 2^{x^2}$ maps $\mathbb{R}$ onto $\{ x \in \mathbb{R} : x \geq 1 \}$
141799
Is $2^{|\mathbb{N}|} = |\mathbb{R}|$?
49984
Valid justification for algebraic manipulation of $\mathrm{d}y/\mathrm{d}x$?
24128
How do i show that $w=z^2$ maps $|z-1|\leq 1$ onto $R=2(1+\cos \theta)$?
29452
Divisor in $\mathbb{C}[X]$ $\implies$ divisor in $\mathbb{R}[X]$?
723
Is there a constructive way to exhibit a basis for $\mathbb{R}^\mathbb{N}$?
108955
Showing $(\mathbb{Q},+)$ is not isomorphic to $(\mathbb{R},+)$
51687
Is the set $ \ (\mathbb{Z}_p \setminus \mathbb{Z}) \cap \mathbb{Q}$ non-empty?
86015
$\mathbb Q[x]/(x^2+1)$ is not isomorphic to $\mathbb Q[x]/(x^2+2)$
56728
Question about limit points of a Subset of $\mathbb{R}$
114061
Construct such $d$ that $(\mathbb{R} \setminus \mathbb{Z}, d)$ is complete metric space