query: Problem on a subfield being dense in $\mathbb C$
positive_passages.docid: 145726
positive_passages.text: For a subfield $K$ of $\Bbb C$ with $K\nsubseteq \Bbb R$, show $K$ is dense in $\Bbb C$.
negative_passages.docid: 135441
negative_passages.text: When is $\mathbb{Z}[\alpha]$ dense in $\mathbb{C}$?
negative_passages.docid: 90590
negative_passages.text: Prove that the following set is dense
negative_passages.docid: 154318
negative_passages.text: Can a field be isomorphic to its subfield?
negative_passages.docid: 13550
negative_passages.text: For an irrational number $\alpha$, prove that the set $\{a+b\alpha: a,b\in \mathbb{Z}\}$ is dense in $\mathbb R$
negative_passages.docid: 132382
negative_passages.text: Showing a set is nowhere dense in $C([0,1])$
negative_passages.docid: 97064
negative_passages.text: Dense set in an infinite cofinite space
negative_passages.docid: 80735
negative_passages.text: Show that $C_0([a, b], \mathbb{R})$ is not $\sigma$-compact
negative_passages.docid: 146617
negative_passages.text: A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
negative_passages.docid: 67244
negative_passages.text: Why is $L^1(\mathbb{R}^n) \cap L^2(\mathbb{R}^n)$ dense in $ L^2(\mathbb{R}^n)$?
negative_passages.docid: 51687
negative_passages.text: Is the set $ \ (\mathbb{Z}_p \setminus \mathbb{Z}) \cap \mathbb{Q}$ non-empty?
negative_passages.docid: 17461
negative_passages.text: Show that a set is dense in $[-1,1]$
negative_passages.docid: 128917
negative_passages.text: Inner Product on $\mathbb{R}$ and on $\mathbb{C}$
negative_passages.docid: 6855
negative_passages.text: Subfields of finite fields
negative_passages.docid: 74996
negative_passages.text: Extreme point of unit balls, over $\mathbb C$
negative_passages.docid: 80202
negative_passages.text: Why is $[0, 1] \cap \mathbb{Q}$ not compact in $\mathbb{Q}$?
negative_passages.docid: 110167
negative_passages.text: A conjecture with connection to the $abc$-conjecture