Question

Is this proof valid? $P|a^k \implies P|a$

score 64 · Answer 1 · 2026-04-13 23:27:56

64

Views

Is this proof valid? $P|a^k \implies P|a$

Published on 13 Apr 2026 - 23:27

score 51 · Answer 2 · 2026-04-08 21:01:41

51

Views

Exercise in measure theory about dominated convergence

Published on 08 Apr 2026 - 21:01

score 214 · Answer 3 · 2026-04-15 04:34:13

214

Views

Finding an open neighborhood in the domain of a continuous map whose image is contained in an open neighborhood in its codomain

Published on 15 Apr 2026 - 4:34

score 87 · Answer 4 · 2026-04-24 09:47:04

87

Views

Proving that a product of tangents is 2

Published on 24 Apr 2026 - 9:47

score 112 · Answer 5 · 2026-04-16 05:25:49

112

Views

If $f_n\rightarrow f$ in $L^p$-norm, $1\leq p<\infty$, then $\lim\limits_{n\rightarrow\infty}m(\{x\in\mathbb{R}^d:|f_n(x)-f(x)|>\varepsilon\})=0$

Published on 16 Apr 2026 - 5:25

score 118 · Answer 6 · 2026-04-11 05:47:11

118

Views

How do I check if a list of numbers have the same remainders when divided by the same number

Published on 11 Apr 2026 - 5:47

score 159 · Answer 7 · 2026-04-16 00:45:14

159

Views

Prove the set $K = \{0\} \cup \{\frac{1}{n} \in \mathbb{R} : n \in \mathbb{N} \}$ is compact without Heine-Borel

Published on 16 Apr 2026 - 0:45

score 136 · Answer 8 · 2026-04-15 01:41:20

136

Views

Is this argument a valid use of inductive proof?

Published on 15 Apr 2026 - 1:41

score 283 · Answer 9 · 2026-04-08 22:50:28

283

Views

Proof verification for some properties of convex hulls

Published on 08 Apr 2026 - 22:50

score 56 · Answer 10 · 2026-04-17 14:44:13

56

Views

Find $k\in\Bbb R$ if $\lim_{x\to0}\frac{1-\cos(kx)}{x^2}=\int_0^\infty xe^{-x}\,\mathrm dx$

Published on 17 Apr 2026 - 14:44

score 36 · Answer 11 · 2026-04-13 01:54:17

36

Views

How to show there is no real valued function whose limit approaches to infinity at every real number.

Published on 13 Apr 2026 - 1:54

score 1.3k · Answer 12 · 2026-04-15 17:53:07

1.3k

Views

(Solved) Orientability of manifold with point removed (Hatcher exc. 3.3.2)

Published on 15 Apr 2026 - 17:53

score 2.9k · Answer 13 · 2026-04-22 08:30:58

2.9k

Views

$\sqrt{|xy|}$ verifies the Cauchy-Riemann equations at $(0,0)$, but is not differentiable at $(0,0)$

Published on 22 Apr 2026 - 8:30

score 75 · Answer 14 · 2026-04-16 02:50:34

75

Views

$\forall k \in \mathbb{N},n^n \notin O(n^k)$

Published on 16 Apr 2026 - 2:50

score 125 · Answer 15 · 2026-04-29 16:16:26

125

Views

Prove that if $ A \subset U $ is a set then $\overline{A} $ is closed.

Published on 29 Apr 2026 - 16:16

List Question

Is this proof valid? $P|a^k \implies P|a$

Exercise in measure theory about dominated convergence

Finding an open neighborhood in the domain of a continuous map whose image is contained in an open neighborhood in its codomain

Proving that a product of tangents is 2

If $f_n\rightarrow f$ in $L^p$-norm, $1\leq p<\infty$, then $\lim\limits_{n\rightarrow\infty}m(\{x\in\mathbb{R}^d:|f_n(x)-f(x)|>\varepsilon\})=0$

How do I check if a list of numbers have the same remainders when divided by the same number

Prove the set $K = \{0\} \cup \{\frac{1}{n} \in \mathbb{R} : n \in \mathbb{N} \}$ is compact without Heine-Borel

Is this argument a valid use of inductive proof?

Proof verification for some properties of convex hulls

Find $k\in\Bbb R$ if $\lim_{x\to0}\frac{1-\cos(kx)}{x^2}=\int_0^\infty xe^{-x}\,\mathrm dx$

How to show there is no real valued function whose limit approaches to infinity at every real number.

(Solved) Orientability of manifold with point removed (Hatcher exc. 3.3.2)

$\sqrt{|xy|}$ verifies the Cauchy-Riemann equations at $(0,0)$, but is not differentiable at $(0,0)$

$\forall k \in \mathbb{N},n^n \notin O(n^k)$

Prove that if $ A \subset U $ is a set then $\overline{A} $ is closed.

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