Question

Lemma 2.3., Chapter 3 - Do Carmo's Riemannian Geometry

score 137 · Answer 1 · 2026-03-25 17:52:59

137

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Lemma 2.3., Chapter 3 - Do Carmo's Riemannian Geometry

Published on 25 Mar 2026 - 17:52

score 139 · Answer 2 · 2026-04-01 06:31:55

139

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Application of theorem 2.2. to Geodesic Flow - Chapter 3, Do Carmo Riemannian Geometry

Published on 01 Apr 2026 - 6:31

score 442 · Answer 3 · 2026-03-27 18:28:09

442

Views

Proof that every infinite set $X$ has an uncountable number of topologies on it.

Published on 27 Mar 2026 - 18:28

score 552 · Answer 4 · 2019-07-10 19:47:29

552

Views

Prove that a set cannot have two different size $$ and $, ≠n$.

Published on 10 Jul 2019 - 19:47

score 66 · Answer 5 · 2019-07-10 19:52:47

66

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If $A$ is a subset of $(V,\| \cdot \|)$, where $V$ is a vector space. Let $\overline{A}$ denote closure. Show $\overline{x + A} = x + \overline{A}$

Published on 10 Jul 2019 - 19:52

score 73 · Answer 6 · 2026-04-08 23:05:47

73

Views

equivalent metrics $\overline{d}(u,v)=\min\{d(u,v),1\}$

Published on 08 Apr 2026 - 23:05

score 731 · Answer 7 · 2019-07-11 00:19:06

731

Views

Let $f: [a,b] \rightarrow \mathbb{R}$ be increasing on the set $[a,b]$. Show $f$ is integrable on $[a,b]$

Published on 11 Jul 2019 - 0:19

score 832 · Answer 8 · 2026-03-25 09:46:59

832

Views

Theorem $2$ (Variational principle for the principal eigenvalue)

Published on 25 Mar 2026 - 9:46

score 57 · Answer 9 · 2026-04-09 01:18:18

57

Views

Some questions about the proof of the Honeycomb Conjecture

Published on 09 Apr 2026 - 1:18

score 171 · Answer 10 · 2026-03-27 14:51:55

171

Views

Proof of theorem describing decay of convolution at infinity?

Published on 27 Mar 2026 - 14:51

score 59 · Answer 11 · 2026-04-02 11:39:11

59

Views

disprove $n \log n \in O(n^2) \cap n \log n \in \Omega (n^2) $

Published on 02 Apr 2026 - 11:39

score 46 · Answer 12 · 2019-07-11 21:54:24

46

Views

A proof of continuity of convex functions

Published on 11 Jul 2019 - 21:54

score 273 · Answer 13 · 2019-07-12 00:08:28

273

Views

Prove that if two norms on V have the same unit ball, then the norms are equal. Proof Explanation.

Published on 12 Jul 2019 - 0:08

score 337 · Answer 14 · 2026-04-08 00:48:27

337

Views

In how many ways can $5$ men and $5$ women be arranged in a circle, if two particular women must not be next to a particular man?

Published on 08 Apr 2026 - 0:48

score 605 · Answer 15 · 2026-03-26 08:00:26

605

Views

Continuous dependence on initial conditions: why $\|y(t)-z(t)\|\leq\delta+L\int_{t_0}^{t}\|y(x)-z(x)\|dx$?

Published on 26 Mar 2026 - 8:00

List Question

Lemma 2.3., Chapter 3 - Do Carmo's Riemannian Geometry

Application of theorem 2.2. to Geodesic Flow - Chapter 3, Do Carmo Riemannian Geometry

Proof that every infinite set $X$ has an uncountable number of topologies on it.

Prove that a set cannot have two different size $$ and $, ≠n$.

If $A$ is a subset of $(V,\| \cdot \|)$, where $V$ is a vector space. Let $\overline{A}$ denote closure. Show $\overline{x + A} = x + \overline{A}$

equivalent metrics $\overline{d}(u,v)=\min\{d(u,v),1\}$

Let $f: [a,b] \rightarrow \mathbb{R}$ be increasing on the set $[a,b]$. Show $f$ is integrable on $[a,b]$

Theorem $2$ (Variational principle for the principal eigenvalue)

Some questions about the proof of the Honeycomb Conjecture

Proof of theorem describing decay of convolution at infinity?

disprove $n \log n \in O(n^2) \cap n \log n \in \Omega (n^2) $

A proof of continuity of convex functions

Prove that if two norms on V have the same unit ball, then the norms are equal. Proof Explanation.

In how many ways can $5$ men and $5$ women be arranged in a circle, if two particular women must not be next to a particular man?

Continuous dependence on initial conditions: why $\|y(t)-z(t)\|\leq\delta+L\int_{t_0}^{t}\|y(x)-z(x)\|dx$?

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