Question

Examples of problems/proofs which can be (surprisingly) represented in terms of graphs

score 239 · Answer 1 · 2026-03-26 11:08:10

239

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Examples of problems/proofs which can be (surprisingly) represented in terms of graphs

Published on 26 Mar 2026 - 11:08

score 78 · Answer 2 · 2026-03-25 23:50:57

78

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Seconed countable space is separable and first countable

Published on 25 Mar 2026 - 23:50

score 204 · Answer 3 · 2020-05-22 22:08:38

204

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$\sum_{n=1}^{p-1}{\frac{1}{n}} = \frac{A_p}{B_p}$ What is $A_p$ (mod $p^2$) where $\frac{A_p}{B_p}$ is a reduced form fraction?

Published on 22 May 2020 - 22:08

score 977 · Answer 4 · 2026-03-27 07:05:14

977

Views

Arrow's impossibility theorem simple proof and explanation

Published on 27 Mar 2026 - 7:05

score 83 · Answer 5 · 2026-03-28 09:57:40

83

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A proof for : Let $0<x\leq\frac{\pi}{4}$ then $\sin(x)^{\sin(x)}\leq \cos(x)^{\cos(x)}$

Published on 28 Mar 2026 - 9:57

score 1.6k · Answer 6 · 2020-05-25 19:54:22

1.6k

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Show the feasible set of convex functions is convex.

Published on 25 May 2020 - 19:54

score 210 · Answer 7 · 2020-05-26 16:34:59

210

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Odd prime $p$ implies positive divisors of $2p$ are $1,2,p,$ and $2p$

Published on 26 May 2020 - 16:34

score 31 · Answer 8 · 2020-05-26 17:42:21

31

Views

Understanding an existence problem in terms of functions.

Published on 26 May 2020 - 17:42

score 343 · Answer 9 · 2020-05-26 19:14:45

343

Views

Proving that Caratheodory's Criterion holds..... but How to Make it Precise?

Published on 26 May 2020 - 19:14

score 108 · Answer 10 · 2020-05-28 15:31:55

108

Views

Evaluating the integral:$\int _{\frac{-1}{\sqrt3}}^{\frac{1}{\sqrt3}}\frac{x^4}{1-x^4}\arccos(\frac{2x}{1+x^2})\mathrm{d}x$

Published on 28 May 2020 - 15:31

score 33 · Answer 11 · 2020-05-29 07:15:03

33

Views

are there rules that cant be rigorously explained?

Published on 29 May 2020 - 7:15

score 214 · Answer 12 · 2020-05-31 19:28:13

214

Views

Prove that if $x \in A$ and $x \not\in (B \cap C^c)$, then $(x \in A$ and $x \not\in B)$ or $(x \in A$ and $x \not\in C^c)$

Published on 31 May 2020 - 19:28

score 101 · Answer 13 · 2026-03-30 14:55:29

101

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If $0 < \alpha < \alpha + \delta < \beta < \frac\pi2$ then $\tan\alpha + \tan\beta > \tan(\alpha + \delta) + \tan(\beta - \delta).$

Published on 30 Mar 2026 - 14:55

score 64 · Answer 14 · 2020-06-01 20:33:19

64

Views

Proof verification and explanation in probability

Published on 01 Jun 2020 - 20:33

score 36 · Answer 15 · 2020-06-02 07:15:47

36

Views

Substitution in diophantine equation

Published on 02 Jun 2020 - 7:15

List Question

Examples of problems/proofs which can be (surprisingly) represented in terms of graphs

Seconed countable space is separable and first countable

$\sum_{n=1}^{p-1}{\frac{1}{n}} = \frac{A_p}{B_p}$ What is $A_p$ (mod $p^2$) where $\frac{A_p}{B_p}$ is a reduced form fraction?

Arrow's impossibility theorem simple proof and explanation

A proof for : Let $0<x\leq\frac{\pi}{4}$ then $\sin(x)^{\sin(x)}\leq \cos(x)^{\cos(x)}$

Show the feasible set of convex functions is convex.

Odd prime $p$ implies positive divisors of $2p$ are $1,2,p,$ and $2p$

Understanding an existence problem in terms of functions.

Proving that Caratheodory's Criterion holds..... but How to Make it Precise?

Evaluating the integral:$\int _{\frac{-1}{\sqrt3}}^{\frac{1}{\sqrt3}}\frac{x^4}{1-x^4}\arccos(\frac{2x}{1+x^2})\mathrm{d}x$

are there rules that cant be rigorously explained?

Prove that if $x \in A$ and $x \not\in (B \cap C^c)$, then $(x \in A$ and $x \not\in B)$ or $(x \in A$ and $x \not\in C^c)$

If $0 < \alpha < \alpha + \delta < \beta < \frac\pi2$ then $\tan\alpha + \tan\beta > \tan(\alpha + \delta) + \tan(\beta - \delta).$

Proof verification and explanation in probability

Substitution in diophantine equation

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