Question

a question about integers and sine function

score 87 · Answer 1 · 2026-04-10 01:07:45

87

Views

a question about integers and sine function

Published on 10 Apr 2026 - 1:07

score 187 · Answer 2 · 2026-04-09 00:04:30

187

Views

Exotic schemes of implications, examples

Published on 09 Apr 2026 - 0:04

score 81 · Answer 3 · 2026-04-10 08:38:59

81

Views

A Proof in Combinatorics

Published on 10 Apr 2026 - 8:38

score 147 · Answer 4 · 2026-03-25 12:49:16

147

Views

Let A be a square complex matrix. Show that I-A^(m+1) = (I-A)(I+A+...+A^m).

Published on 25 Mar 2026 - 12:49

score 40 · Answer 5 · 2026-03-25 07:21:57

40

Views

Confirmation of Proof: $\forall\{x,y,z\}\subset\mathbb{Z}, \ x^2 + 2y^2 = 3z^2 \Leftrightarrow 3\mid x\land y$

Published on 25 Mar 2026 - 7:21

score 231 · Answer 6 · 2026-03-24 23:42:54

231

Views

Trigonometry problem, Evaluate: $\frac {1}{\sin 18°}$

Published on 24 Mar 2026 - 23:42

score 201 · Answer 7 · 2026-04-01 18:45:50

201

Views

Proving the area of the circle using sticks.

Published on 01 Apr 2026 - 18:45

score 390 · Answer 8 · 2026-04-08 23:12:18

390

Views

Prove that an even order ($n=2k$) graph without cycle of order 3, has a size $m \le k^2$

Published on 08 Apr 2026 - 23:12

score 38 · Answer 9 · 2026-04-05 03:01:53

38

Views

Method of Proof

Published on 05 Apr 2026 - 3:01

score 188 · Answer 10 · 2026-04-08 21:41:08

188

Views

Is $\frac{5\pi}{6}$ a transcendental or an algebraic number?

Published on 08 Apr 2026 - 21:41

score 252 · Answer 11 · 2026-04-08 21:10:00

252

Views

What is the identity element for the subgroup $H=\{a+b\sqrt{2}:a,b\in\mathbb{Q},\text{$a$ and $b$ are not both zero}\}$ of the group $\mathbb{R}^*$?

Published on 08 Apr 2026 - 21:10

score 197 · Answer 12 · 2026-03-25 01:18:51

197

Views

Prove that if $G$ is a group with $(ab)^{2}=a^{2}b^{2}$ for all $a,b\in G$, then $G$ is abelian.

Published on 25 Mar 2026 - 1:18

score 1k · Answer 13 · 2018-01-29 16:04:30

1k

Views

Abstract Algebra: G is Abelian, $H:= \{x \in G : \lvert x\rvert \text{ is odd} \}$ Prove that $H$ is a subgroup of $G$

Published on 29 Jan 2018 - 16:04

score 72 · Answer 14 · 2026-03-31 18:43:33

72

Views

Prove the following statements without using induction

Published on 31 Mar 2026 - 18:43

score 379 · Answer 15 · 2026-03-25 16:01:57

379

Views

Different ways to prove a set is a subspace of $\mathbb R^n$

Published on 25 Mar 2026 - 16:01

List Question

a question about integers and sine function

Exotic schemes of implications, examples

A Proof in Combinatorics

Let A be a square complex matrix. Show that I-A^(m+1) = (I-A)(I+A+...+A^m).

Confirmation of Proof: $\forall\{x,y,z\}\subset\mathbb{Z}, \ x^2 + 2y^2 = 3z^2 \Leftrightarrow 3\mid x\land y$

Trigonometry problem, Evaluate: $\frac {1}{\sin 18°}$

Proving the area of the circle using sticks.

Prove that an even order ($n=2k$) graph without cycle of order 3, has a size $m \le k^2$

Method of Proof

Is $\frac{5\pi}{6}$ a transcendental or an algebraic number?

What is the identity element for the subgroup $H=\{a+b\sqrt{2}:a,b\in\mathbb{Q},\text{$a$ and $b$ are not both zero}\}$ of the group $\mathbb{R}^*$?

Prove that if $G$ is a group with $(ab)^{2}=a^{2}b^{2}$ for all $a,b\in G$, then $G$ is abelian.

Abstract Algebra: G is Abelian, $H:= \{x \in G : \lvert x\rvert \text{ is odd} \}$ Prove that $H$ is a subgroup of $G$

Prove the following statements without using induction

Different ways to prove a set is a subspace of $\mathbb R^n$

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