Question

Showing a measure finitely additive but not countably additive

score 751 · Answer 1 · 2018-11-20 05:32:48

751

Views

Showing a measure finitely additive but not countably additive

Published on 20 Nov 2018 - 5:32

score 233 · Answer 2 · 2026-03-26 13:30:23

233

Views

Show that $R$ is an order relation in $\mathbb{R^2}$

Published on 26 Mar 2026 - 13:30

score 90 · Answer 3 · 2018-11-21 05:40:10

90

Views

Is there a nice way to use the group isomorphism theorems in this proof?

Published on 21 Nov 2018 - 5:40

score 172 · Answer 4 · 2026-03-25 07:46:09

172

Views

Is there a proof of an infinite number of prime numbers using the irrationality of $e$?

Published on 25 Mar 2026 - 7:46

score 322 · Answer 5 · 2026-03-25 01:17:35

322

Views

Another Proof of Euclid's Theorem (infinite number of primes)?

Published on 25 Mar 2026 - 1:17

score 89 · Answer 6 · 2018-11-22 22:50:32

89

Views

Prove that $\lim_{x \to 0} \frac{x - \sin x}{x^3} = \frac16$ using notable limits

Published on 22 Nov 2018 - 22:50

score 168 · Answer 7 · 2018-11-23 23:23:54

168

Views

Differentiability implies continuity proof with little-o notation

Published on 23 Nov 2018 - 23:23

score 86 · Answer 8 · 2018-11-24 07:19:55

86

Views

A bounded sequence with accumulation points of 2 and 3 must be in the interval $(1,4)$ for large $n$.

Published on 24 Nov 2018 - 7:19

score 64 · Answer 9 · 2018-11-24 16:22:54

64

Views

if $f'(c)<0$ then there exists a nbd $I$ of $c$ such that $f'(x)<0$ for all $x\in I$

Published on 24 Nov 2018 - 16:22

score 66 · Answer 10 · 2026-03-25 17:42:20

66

Views

Prove or disprove: If $f$ is increasing and differentiable on $(a,b)$ then $f'(x)\ge 0$ on $(a,b)$

Published on 25 Mar 2026 - 17:42

score 99 · Answer 11 · 2018-11-25 05:13:13

99

Views

Analytic Method for Solving $8n^2 > 64n\log_2{n}$

Published on 25 Nov 2018 - 5:13

score 2.1k · Answer 12 · 2018-11-25 13:36:57

2.1k

Views

W1 + W3 = W2 + W3. Then W1 = W2

Published on 25 Nov 2018 - 13:36

score 168 · Answer 13 · 2018-11-26 08:12:51

168

Views

A faster solution to this equation: $e^{-ix}(1+e^{-ix}) = -1$

Published on 26 Nov 2018 - 8:12

score 68 · Answer 14 · 2018-11-26 11:31:39

68

Views

Prove or disprove: Suppose $f'$ is continuous in a nbd of $c$ and $f'(c)>0$. Then $f$ is strictly increasing in some nbd of $c$.

Published on 26 Nov 2018 - 11:31

score 1k · Answer 15 · 2018-11-27 10:16:16

1k

Views

Graph independence number (Caro-Wei) estimate without probabilistic argument?

Published on 27 Nov 2018 - 10:16

List Question

Showing a measure finitely additive but not countably additive

Show that $R$ is an order relation in $\mathbb{R^2}$

Is there a nice way to use the group isomorphism theorems in this proof?

Is there a proof of an infinite number of prime numbers using the irrationality of $e$?

Another Proof of Euclid's Theorem (infinite number of primes)?

Prove that $\lim_{x \to 0} \frac{x - \sin x}{x^3} = \frac16$ using notable limits

Differentiability implies continuity proof with little-o notation

A bounded sequence with accumulation points of 2 and 3 must be in the interval $(1,4)$ for large $n$.

if $f'(c)<0$ then there exists a nbd $I$ of $c$ such that $f'(x)<0$ for all $x\in I$

Prove or disprove: If $f$ is increasing and differentiable on $(a,b)$ then $f'(x)\ge 0$ on $(a,b)$

Analytic Method for Solving $8n^2 > 64n\log_2{n}$

W1 + W3 = W2 + W3. Then W1 = W2

A faster solution to this equation: $e^{-ix}(1+e^{-ix}) = -1$

Prove or disprove: Suppose $f'$ is continuous in a nbd of $c$ and $f'(c)>0$. Then $f$ is strictly increasing in some nbd of $c$.

Graph independence number (Caro-Wei) estimate without probabilistic argument?

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