Question

An algorithm to check if two polygons have the same area

score 286 · Answer 1 · 2026-03-25 13:51:38

286

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An algorithm to check if two polygons have the same area

Published on 25 Mar 2026 - 13:51

score 62 · Answer 2 · 2018-09-26 18:54:50

62

Views

If 3 is not a divisor of the order of a group, then $\forall g \in G$ $\exists h \in G$ s.t $g=h^3$

Published on 26 Sep 2018 - 18:54

score 62 · Answer 3 · 2018-09-26 19:44:04

Prove the following statement using two methods of proof: If $n$ and $m$ are non-zero integers, then $n^2-m^2≠1$.

score 172 · Answer 4 · 2018-09-28 01:47:49

172

Views

About definite integral and Gauss hypergeometric function

Published on 28 Sep 2018 - 1:47

score 54 · Answer 5 · 2018-09-28 17:43:58

54

Views

Picking $r$ balls from $k$ types of balls where $k-1$ types of balls have infinite supply and the $k^\text{th}$ type has only $1$ copy.

Published on 28 Sep 2018 - 17:43

score 469 · Answer 6 · 2018-09-28 18:47:05

469

Views

Proof of limit of exponential function

Published on 28 Sep 2018 - 18:47

score 102 · Answer 7 · 2018-09-29 04:51:44

102

Views

Let $\mathcal F$ be the set of mappings $f:\Bbb N \to \Bbb N$ for which $f(m) \ge f(n)$ for $m \le n$. Show that $\mathcal F$ is countable

Published on 29 Sep 2018 - 4:51

score 106 · Answer 8 · 2026-03-25 07:47:28

106

Views

A question regarding convex function and Hessian

Published on 25 Mar 2026 - 7:47

score 88 · Answer 9 · 2018-10-01 14:52:15

88

Views

Finding the required angle in the triangle

Published on 01 Oct 2018 - 14:52

score 78 · Answer 10 · 2018-10-02 00:25:18

78

Views

Can the proof of finding the minimum of $x^2 + \frac{25}{x^2} + 3$ validly end with $x^2 + \frac{25}{x^2} + 3 \geq 13$?

Published on 02 Oct 2018 - 0:25

score 262 · Answer 11 · 2026-03-25 04:38:29

262

Views

Geometric proof that cross product is linear

Published on 25 Mar 2026 - 4:38

score 168 · Answer 12 · 2018-10-03 02:06:40

Let $G$ be a group with $H < G.$ I'd like to show that if $H$ has finite index in $G$, then $H$ has finitely many conjugates in $G$.

score 556 · Answer 13 · 2026-03-26 09:19:44

Let $(P,<),(Q,\prec)$ be countable, dense, and linearly ordered sets without endpoints. Then $(P,<),(Q,\prec)$ are order-isomorphic

score 79 · Answer 14 · 2018-10-04 03:49:52

79

Views

Are there nice dissection proofs of the Pythagorean Theorem which dissect something unusual?

Published on 04 Oct 2018 - 3:49

score 453 · Answer 15 · 2026-03-22 13:18:00

453

Views

How to solve $x^2+y^2=pz^2$ in $x,y,z\in\mathbb{N}$ if $p$ is such a prime that $p\equiv 3 \pmod 4$?

Published on 22 Mar 2026 - 13:18

List Question

An algorithm to check if two polygons have the same area

If 3 is not a divisor of the order of a group, then $\forall g \in G$ $\exists h \in G$ s.t $g=h^3$

Prove the following statement using two methods of proof: If $n$ and $m$ are non-zero integers, then $n^2-m^2≠1$.

About definite integral and Gauss hypergeometric function

Picking $r$ balls from $k$ types of balls where $k-1$ types of balls have infinite supply and the $k^\text{th}$ type has only $1$ copy.

Proof of limit of exponential function

Let $\mathcal F$ be the set of mappings $f:\Bbb N \to \Bbb N$ for which $f(m) \ge f(n)$ for $m \le n$. Show that $\mathcal F$ is countable

A question regarding convex function and Hessian

Finding the required angle in the triangle

Can the proof of finding the minimum of $x^2 + \frac{25}{x^2} + 3$ validly end with $x^2 + \frac{25}{x^2} + 3 \geq 13$?

Geometric proof that cross product is linear

Let $G$ be a group with $H < G.$ I'd like to show that if $H$ has finite index in $G$, then $H$ has finitely many conjugates in $G$.

Let $(P,<),(Q,\prec)$ be countable, dense, and linearly ordered sets without endpoints. Then $(P,<),(Q,\prec)$ are order-isomorphic

Are there nice dissection proofs of the Pythagorean Theorem which dissect something unusual?

How to solve $x^2+y^2=pz^2$ in $x,y,z\in\mathbb{N}$ if $p$ is such a prime that $p\equiv 3 \pmod 4$?

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