Prove $(A \lor B \rightarrow C) \wedge (C \rightarrow D \wedge C) \wedge (C \rightarrow D) \rightarrow (A \rightarrow D)$ by rules of inference $\:\:$

score 427 · Answer 6 · 2019-06-13 16:06:58

427

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Prob. 3 (a), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: A continuous image of a limit-point compact space is not necessarily limit point compact

Published on 13 Jun 2019 - 16:06

score 1.6k · Answer 7 · 2019-06-16 00:22:16

1.6k

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Extending linear maps from subspaces to the entire space

Published on 16 Jun 2019 - 0:22

score 1.2k · Answer 8 · 2026-03-25 11:24:30

1.2k

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Prob. 1, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: Every pair of points in a regular space have neighborhoods with disjoint closures

Published on 25 Mar 2026 - 11:24

score 339 · Answer 9 · 2019-06-16 14:23:13

339

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Is this series for Pi correct?

Published on 16 Jun 2019 - 14:23

score 359 · Answer 10 · 2026-03-25 11:24:08

359

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Prob. 3, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: Every order topology is regular

Published on 25 Mar 2026 - 11:24

score 388 · Answer 11 · 2019-06-20 06:00:41

388

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Prove that $\{A\cap E:A\in\mathcal A\}$ is a $\sigma$-algebra of $E$

Published on 20 Jun 2019 - 6:00

score 3k · Answer 12 · 2019-06-20 17:16:34

3k

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A committee of 8 people consisting of 3 men and 5 women are lining up next to each other for a photograph.

Published on 20 Jun 2019 - 17:16

score 94 · Answer 13 · 2019-06-23 06:24:36

94

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Trouble with the operator $(T_nf)(t)=\int_{0}^{t}e^{-n(t-x)}f(x)\,dx$ for $t\in[0,1]$ where $f\in(\mathcal C[0,1],\|\cdot\|_\infty)$ with $f(0)=0$

Published on 23 Jun 2019 - 6:24

score 164 · Answer 14 · 2019-07-06 03:51:45

164

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Can $\mathbb{Q×Q}$ be embedded in $\mathbb{R}$ as group?

Published on 06 Jul 2019 - 3:51

score 84 · Answer 15 · 2026-03-25 15:02:26

84

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Given integer $b \gt 1$ use infinite descent to prove that every integer $m \gt 0$ has one and only one Base-$b$ representation.

Published on 25 Mar 2026 - 15:02

List Question

Show that the action of $PSL_2(\mathbb{R})$ on $\mathbb{H}$ is transitive

Prob. 16 (c), Sec. 6.2, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: If $f^\prime(x)\to b$ as $x \to \infty$, then $f(x)/x \to b$. How?

Prove that $ y = x^{\frac{1}{n}} \Rightarrow y^n = x $

Probs. 3 (a & c), Sec. 27, in Munkres' TOPOLOGY, 2nd ed: The space $\mathbb{R}_K$ is not path connected and $[0, 1]$ is not compact in $\mathbb{R}_K$.

Prove $(A \lor B \rightarrow C) \wedge (C \rightarrow D \wedge C) \wedge (C \rightarrow D) \rightarrow (A \rightarrow D)$ by rules of inference $\:\:$

Prob. 3 (a), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: A continuous image of a limit-point compact space is not necessarily limit point compact

Extending linear maps from subspaces to the entire space

Prob. 1, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: Every pair of points in a regular space have neighborhoods with disjoint closures

Is this series for Pi correct?

Prob. 3, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: Every order topology is regular

Prove that $\{A\cap E:A\in\mathcal A\}$ is a $\sigma$-algebra of $E$

A committee of 8 people consisting of 3 men and 5 women are lining up next to each other for a photograph.

Trouble with the operator $(T_nf)(t)=\int_{0}^{t}e^{-n(t-x)}f(x)\,dx$ for $t\in[0,1]$ where $f\in(\mathcal C[0,1],\|\cdot\|_\infty)$ with $f(0)=0$

Can $\mathbb{Q×Q}$ be embedded in $\mathbb{R}$ as group?

Given integer $b \gt 1$ use infinite descent to prove that every integer $m \gt 0$ has one and only one Base-$b$ representation.

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