Question

Let $\frac{r}{2t}\in\mathbb{Q}$ with $r,t$ odd, then $\frac{r}{2t}\in\Gamma_1(4)*\frac{1}{2}$ with $\Gamma_1(4)$ a principal subgroup.

score 128 · Answer 1 · 2026-03-28 20:37:47

128

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Let $\frac{r}{2t}\in\mathbb{Q}$ with $r,t$ odd, then $\frac{r}{2t}\in\Gamma_1(4)*\frac{1}{2}$ with $\Gamma_1(4)$ a principal subgroup.

Published on 28 Mar 2026 - 20:37

score 1.9k · Answer 2 · 2026-03-31 17:01:24

1.9k

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Every not empty finite subset of a totally ordered set has a maximum and minimum

Published on 31 Mar 2026 - 17:01

score 70 · Answer 3 · 2026-03-27 22:59:33

70

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problems about cofinality

Published on 27 Mar 2026 - 22:59

score 55 · Answer 4 · 2020-03-06 01:50:27

55

Views

Given functions such that $f = \tilde{f}$ and $g = \tilde{g}$, then $g\circ f = \tilde{g}\circ\tilde{f}$.

Published on 06 Mar 2020 - 1:50

score 91 · Answer 5 · 2020-03-06 02:20:06

91

Views

Suppose $A \subseteq \mathscr{P}(A)$. Prove that $\mathscr{P}(A) \subseteq \mathscr{P}(\mathscr{P}(A))$

Published on 06 Mar 2020 - 2:20

score 225 · Answer 6 · 2020-03-06 02:50:06

225

Views

Show that if $g\circ f = g\circ\tilde{f}$ and $g$ is injective, then $f = \tilde{f}$

Published on 06 Mar 2020 - 2:50

score 160 · Answer 7 · 2026-03-28 01:48:44

160

Views

The $L^{1}$ convergence of $f_{k}(x):=f(kx)$ where $f(x)$ is a $2\pi-$periodic function

Published on 28 Mar 2026 - 1:48

score 1.8k · Answer 8 · 2020-03-06 04:00:18

1.8k

Views

Constructing a bijection between two sets

Published on 06 Mar 2020 - 4:00

score 113 · Answer 9 · 2020-03-06 04:04:54

113

Views

Proof of topology involving Hausdorff spaces

Published on 06 Mar 2020 - 4:04

score 554 · Answer 10 · 2020-03-06 05:00:05

554

Views

Show that if $g\circ f$ is injective, then $f$ must be injective. Show as well that if $g\circ f$ is surjective, then $g$ must be surjective.

Published on 06 Mar 2020 - 5:00

score 88 · Answer 11 · 2026-03-25 12:46:20

88

Views

Finding CDF of Composition of random variable and real function

Published on 25 Mar 2026 - 12:46

score 68 · Answer 12 · 2020-03-06 12:09:47

68

Views

showing sets are closed and open

Published on 06 Mar 2020 - 12:09

score 2.1k · Answer 13 · 2020-03-06 14:41:41

2.1k

Views

$f: A \to B$ is invertible if and only if bijective

Published on 06 Mar 2020 - 14:41

score 558 · Answer 14 · 2026-02-23 11:42:38

558

Views

What is the probability of 1st January being the birthday of two persons among 500?

Published on 23 Feb 2026 - 11:42

score 120 · Answer 15 · 2026-03-25 12:15:15

120

Views

Is this counterexample for $T$ closed, symmetric $\iff T$ self-adjoint valid?

Published on 25 Mar 2026 - 12:15

List Question

Let $\frac{r}{2t}\in\mathbb{Q}$ with $r,t$ odd, then $\frac{r}{2t}\in\Gamma_1(4)*\frac{1}{2}$ with $\Gamma_1(4)$ a principal subgroup.

Every not empty finite subset of a totally ordered set has a maximum and minimum

problems about cofinality

Given functions such that $f = \tilde{f}$ and $g = \tilde{g}$, then $g\circ f = \tilde{g}\circ\tilde{f}$.

Suppose $A \subseteq \mathscr{P}(A)$. Prove that $\mathscr{P}(A) \subseteq \mathscr{P}(\mathscr{P}(A))$

Show that if $g\circ f = g\circ\tilde{f}$ and $g$ is injective, then $f = \tilde{f}$

The $L^{1}$ convergence of $f_{k}(x):=f(kx)$ where $f(x)$ is a $2\pi-$periodic function

Constructing a bijection between two sets

Proof of topology involving Hausdorff spaces

Show that if $g\circ f$ is injective, then $f$ must be injective. Show as well that if $g\circ f$ is surjective, then $g$ must be surjective.

Finding CDF of Composition of random variable and real function

showing sets are closed and open

$f: A \to B$ is invertible if and only if bijective

What is the probability of 1st January being the birthday of two persons among 500?

Is this counterexample for $T$ closed, symmetric $\iff T$ self-adjoint valid?

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