Show that $S=\{\frac{p}{2^i}: p\in\Bbb Z, i \in \Bbb N \}$ is dense in $\Bbb R$.
88523
Show that $A=\{ \frac{m}{2^n}:m\in \mathbb {Z},n\in \mathbb {N} \} $ is dense in $\mathbb {R}$
28391
Prove the compactness of a set B
257
Prove that : $m_{a}m_{b}m_{c}\leq\frac{Rs^{2}}{2}$
111898
Is $\{ (e^{2\pi i a n},e^{2\pi i b n }) : n \in \mathbb{Z} \}$ dense in the torus, where $a,b$ irrationals such that $a/b$ irrational?
145509
Prove the roots of $p(z)+z^n\bar{p}(\frac{1}{z})$ lie on the unit circle
145726
For a subfield $K$ of $\Bbb C$ with $K\nsubseteq \Bbb R$, show $K$ is dense in $\Bbb C$.
344
Prove that if $p\in \mathbb{Z}$ is irreducible, then it is also prime.
80559
In $C[0,1]$ prove that the subset of Lipschitz functions is dense
26256
Characterizing Dense Subgroups of the Reals
144693
Show that if $B \subseteq C$, then $\mathcal{P}(B) \subseteq \mathcal{P}(C)$
22865
Sine function dense in $[-1,1]$
150337
Let $K$ be a subfield of $\mathbb{C}$ not contained in $\mathbb{R}$. Show that $K$ is dense in $\mathbb{C}$.
18145
Diagonalizable matrices with complex values are dense in set of $n\times n$ complex matrices.
115625
Intersection of two open dense sets is dense
137511
Trying to show that $\sup \{b^p:p\in Q,\;0<p<x\} = \inf\{b^q:q\in Q,\;x<q\}$
53038
Show that $\frac{P(z)}{Q(z)} = \sum_{k=1}^{n}\frac{P(\alpha_k)}{Q'(\alpha_k)(z-\alpha_k)}$
12212
Showing a certain subspace of Hilbert space is dense