Question

Proof verification: Show that $f$ is continuous if $f(\overline{A})\subset\overline{f(A)}$.

score 108 · Answer 1 · 2026-04-12 09:56:01

108

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Proof verification: Show that $f$ is continuous if $f(\overline{A})\subset\overline{f(A)}$.

Published on 12 Apr 2026 - 9:56

score 576 · Answer 2 · 2026-04-15 17:55:17

576

Views

If a prime $p$ divides the order of a group $G$ and $p^2 > |G|$, then there is a normal subgroup of order $p$ in $G$

Published on 15 Apr 2026 - 17:55

score 65 · Answer 3 · 2026-04-14 00:16:11

65

Views

If $m$ is odd and not prime

Published on 14 Apr 2026 - 0:16

score 683 · Answer 4 · 2026-04-16 16:21:23

683

Views

Filtered colimits in the category of sets: an equivalence relation

Published on 16 Apr 2026 - 16:21

score 4.5k · Answer 5 · 2026-04-12 18:49:54

4.5k

Views

Prove that $A$ is open if and only if $A=\operatorname{int}{A}$

Published on 12 Apr 2026 - 18:49

score 37 · Answer 6 · 2026-04-14 03:41:29

37

Views

Evaluating $\lim_{x \to 0} \frac{a_1\exp(-b_1x^2)}{\sum_i a_i\exp(-b_ix^2)}$

Published on 14 Apr 2026 - 3:41

score 408 · Answer 7 · 2026-04-15 05:15:29

408

Views

Proof for area of an equilateral triangle with respect to one side?

Published on 15 Apr 2026 - 5:15

score 2.8k · Answer 8 · 2026-04-09 09:30:20

2.8k

Views

Show that lower semi-continuous function attains it's minimum. (Proof verification) (By contradiction)

Published on 09 Apr 2026 - 9:30

score 439 · Answer 9 · 2026-04-16 19:17:03

439

Views

Given $S_n = 1 + \sum_{k=1}^n {1\over k!}$ prove that $e-S_n \le \frac{n+2}{n!(n+1)^2}$

Published on 16 Apr 2026 - 19:17

score 121 · Answer 10 · 2026-04-15 12:25:14

121

Views

Strategy to prove a set is compact. Case: $S=\{0\}\cup\bigcup_\limits{i=1}^{\infty}\{\frac{1}{n}\}$

Published on 15 Apr 2026 - 12:25

score 24 · Answer 11 · 2026-04-11 20:44:09

24

Views

Fourier series, scalar product

Published on 11 Apr 2026 - 20:44

score 85 · Answer 12 · 2026-04-15 13:23:44

85

Views

If $f: I \to X$ is a path and $c: I \to X$ the constant path $c(s)=f(1)$, how is $f \cdot c$ a reparametrization of $f$

Published on 15 Apr 2026 - 13:23

score 29 · Answer 13 · 2026-04-13 17:09:32

29

Views

Probability calculations verification request: a distribution function related problem

Published on 13 Apr 2026 - 17:09

score 82 · Answer 14 · 2026-04-16 10:52:11

82

Views

Prove that for a given prime $p$ and each $0 < r < p-1$, there exists a $q$ such that $rq \equiv 1 \bmod p$

Published on 16 Apr 2026 - 10:52

score 1.4k · Answer 15 · 2026-04-11 14:28:14

1.4k

Views

Proof Writing: Handshakes in a Party

Published on 11 Apr 2026 - 14:28

List Question

Proof verification: Show that $f$ is continuous if $f(\overline{A})\subset\overline{f(A)}$.

If a prime $p$ divides the order of a group $G$ and $p^2 > |G|$, then there is a normal subgroup of order $p$ in $G$

If $m$ is odd and not prime

Filtered colimits in the category of sets: an equivalence relation

Prove that $A$ is open if and only if $A=\operatorname{int}{A}$

Evaluating $\lim_{x \to 0} \frac{a_1\exp(-b_1x^2)}{\sum_i a_i\exp(-b_ix^2)}$

Proof for area of an equilateral triangle with respect to one side?

Show that lower semi-continuous function attains it's minimum. (Proof verification) (By contradiction)

Given $S_n = 1 + \sum_{k=1}^n {1\over k!}$ prove that $e-S_n \le \frac{n+2}{n!(n+1)^2}$

Strategy to prove a set is compact. Case: $S=\{0\}\cup\bigcup_\limits{i=1}^{\infty}\{\frac{1}{n}\}$

Fourier series, scalar product

If $f: I \to X$ is a path and $c: I \to X$ the constant path $c(s)=f(1)$, how is $f \cdot c$ a reparametrization of $f$

Probability calculations verification request: a distribution function related problem

Prove that for a given prime $p$ and each $0 < r < p-1$, there exists a $q$ such that $rq \equiv 1 \bmod p$

Proof Writing: Handshakes in a Party

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