query: Odd Corollary in Baby Rudin Chapter 2, Question 28
positive_passages.docid: 17842
positive_passages.text: Is every set in a separable metric space the union of a perfect set and a set that is at most countable?
negative_passages.docid: 107435
negative_passages.text: Exercise from Atiyah-Macdonald, Chapter 1, 2.iv)
negative_passages.docid: 94686
negative_passages.text: A bug I can't seem to spot, faulty logic?
negative_passages.docid: 82443
negative_passages.text: Question about series rearrangement in Baby Rudin (theorem 3.54).
negative_passages.docid: 105594
negative_passages.text: Fixed point, union of $\aleph_0, \aleph_{\aleph_0},\aleph_{\aleph_{\aleph_0}}\dots$ [see Noah's comment on notation]
negative_passages.docid: 34599
negative_passages.text: Number of ring homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{28}$.
negative_passages.docid: 72719
negative_passages.text: Baby Rudin Theorem 1.20 (b) Proof
negative_passages.docid: 46323
negative_passages.text: Criteria for convergent sequence (Baby Rudin Theorem 3.22)
negative_passages.docid: 42539
negative_passages.text: Theorem 3.37 in Baby Rudin: $\lim\inf\frac{c_{n+1}}{c_n}\leq\lim\inf\sqrt[n]{c_n}\leq\lim\sup\sqrt[n]{c_n}\leq \lim\sup\frac{c_{n+1}}{c_n}$
negative_passages.docid: 2786
negative_passages.text: The staircase paradox, or why $\pi\ne4$
negative_passages.docid: 102352
negative_passages.text: Number theorems with chapter number
negative_passages.docid: 33572
negative_passages.text: Does anyone know what this probability question is asking?
negative_passages.docid: 75504
negative_passages.text: Theorem 11.14, Apostol, pg 238 - need explanation
negative_passages.docid: 100399
negative_passages.text: A doubt with a part of a certain proof.
negative_passages.docid: 128843
negative_passages.text: Rolle's Theorem Contradiction
negative_passages.docid: 111104
negative_passages.text: Ring theory notation question
negative_passages.docid: 138093
negative_passages.text: A question about notation of Bayes' Theorem