Question

Showing that $o(\phi(g))|o(g)$ if $\phi:G_1\mapsto G_2$ is a homomorphism and $g\in G_1$

score 47 · Answer 1 · 2026-04-16 12:49:52

47

Views

Showing that $o(\phi(g))|o(g)$ if $\phi:G_1\mapsto G_2$ is a homomorphism and $g\in G_1$

Published on 16 Apr 2026 - 12:49

score 63 · Answer 2 · 2026-04-14 05:16:51

63

Views

Proof verification: continuity of $T$ on $\mathcal{C}([0,1],\mathbb{R})$

Published on 14 Apr 2026 - 5:16

score 570 · Answer 3 · 2026-04-15 10:09:01

570

Views

$\int_A f = \int_A g \implies f = g$ a.e.

Published on 15 Apr 2026 - 10:09

score 69 · Answer 4 · 2026-04-10 13:46:56

69

Views

Confidence Interval question for amount of experiments one should do.

Published on 10 Apr 2026 - 13:46

score 737 · Answer 5 · 2026-04-09 03:52:50

737

Views

Proving That Consecutive Fibonacci Numbers are Relatively Prime

Published on 09 Apr 2026 - 3:52

score 778 · Answer 6 · 2026-04-16 02:24:55

778

Views

$f: G \to \mathbb{C}^*$ is a homomorphism. Show that the sum $\sum f (g) = 0$ or $n$

Published on 16 Apr 2026 - 2:24

score 58 · Answer 7 · 2026-04-16 12:01:00

58

Views

Prove that $\forall x \in \Bbb R^+:x+0=x\cdot 1=x$

Published on 16 Apr 2026 - 12:01

score 2.1k · Answer 8 · 2026-04-15 14:28:25

2.1k

Views

How many maximum triangles can be made?

Published on 15 Apr 2026 - 14:28

score 47 · Answer 9 · 2026-04-17 02:30:14

Let $x\in\Bbb R$, $a=\inf \{r \mid r\in\Bbb Q,x<r\}$, and $b=\inf\{-s\mid s\in\Bbb Q,s<x\}$. Prove that $a+b=\inf\{r-s \mid r,s\in\Bbb Q,s<x<r\}$

score 65 · Answer 10 · 2026-04-15 10:34:19

65

Views

Let $x\in\Bbb R$. Then there exists a unique $w\in\Bbb R$ such that $x+w=0$

Published on 15 Apr 2026 - 10:34

score 98 · Answer 11 · 2026-04-10 14:35:36

98

Views

Proof regarding n-connectedness

Published on 10 Apr 2026 - 14:35

score 203 · Answer 12 · 2026-04-28 20:21:52

203

Views

Suppose $x$ and $y$ are natural numbers. Show that $xy$ odd implies that $x$ and $y$ are both odd.

Published on 28 Apr 2026 - 20:21

score 688 · Answer 13 · 2026-04-10 17:01:24

688

Views

How to prove that $R^n\setminus \{0\}$ is not contractible

Published on 10 Apr 2026 - 17:01

score 71 · Answer 14 · 2026-04-14 18:27:07

71

Views

Verification of the approach on finding the limit of $x_n$ as $n\to\infty$ given $x_{n+1} = \sqrt[k]{5x_n}$ where $x_1 = \sqrt[k]{5}, k\in\Bbb N$

Published on 14 Apr 2026 - 18:27

score 106 · Answer 15 · 2026-04-10 00:59:17

106

Views

generating function of numbers of visits up to time n

Published on 10 Apr 2026 - 0:59

List Question

Showing that $o(\phi(g))|o(g)$ if $\phi:G_1\mapsto G_2$ is a homomorphism and $g\in G_1$

Proof verification: continuity of $T$ on $\mathcal{C}([0,1],\mathbb{R})$

$\int_A f = \int_A g \implies f = g$ a.e.

Confidence Interval question for amount of experiments one should do.

Proving That Consecutive Fibonacci Numbers are Relatively Prime

$f: G \to \mathbb{C}^*$ is a homomorphism. Show that the sum $\sum f (g) = 0$ or $n$

Prove that $\forall x \in \Bbb R^+:x+0=x\cdot 1=x$

How many maximum triangles can be made?

Let $x\in\Bbb R$, $a=\inf \{r \mid r\in\Bbb Q,x<r\}$, and $b=\inf\{-s\mid s\in\Bbb Q,s<x\}$. Prove that $a+b=\inf\{r-s \mid r,s\in\Bbb Q,s<x<r\}$

Let $x\in\Bbb R$. Then there exists a unique $w\in\Bbb R$ such that $x+w=0$

Proof regarding n-connectedness

Suppose $x$ and $y$ are natural numbers. Show that $xy$ odd implies that $x$ and $y$ are both odd.

How to prove that $R^n\setminus \{0\}$ is not contractible

Verification of the approach on finding the limit of $x_n$ as $n\to\infty$ given $x_{n+1} = \sqrt[k]{5x_n}$ where $x_1 = \sqrt[k]{5}, k\in\Bbb N$

generating function of numbers of visits up to time n

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