Question

Proof $\mu \{ x \in \mathbb{R}: |f|>t \}, t \to \infty$ if $\int |f| < \infty$

score 68 · Answer 1 · 2026-04-14 05:14:49

68

Views

Proof $\mu \{ x \in \mathbb{R}: |f|>t \}, t \to \infty$ if $\int |f| < \infty$

Published on 14 Apr 2026 - 5:14

score 421 · Answer 2 · 2026-04-14 16:54:48

421

Views

Show that $\forall a,x,y \in G:ax=ay\Longrightarrow x=y$ with $(G,\cdot)$ being a group

Published on 14 Apr 2026 - 16:54

score 205 · Answer 3 · 2026-04-09 20:22:39

205

Views

The conjecture about the existence of closed-form inverses of functions

Published on 09 Apr 2026 - 20:22

score 463 · Answer 4 · 2026-04-15 22:25:52

463

Views

Proof verification: If factor group $G/Z(G)$ is cyclic then $G$ is Abelian

Published on 15 Apr 2026 - 22:25

score 59 · Answer 5 · 2026-04-16 17:24:00

59

Views

Find basis to $\begin{bmatrix}1&-4&3&-1\cr2&-8&6&-2\end{bmatrix}$

Published on 16 Apr 2026 - 17:24

score 288 · Answer 6 · 2026-04-10 16:05:08

288

Views

Proof verification: Baby Rudin Chapter 4 exercise 4

Published on 10 Apr 2026 - 16:05

score 75 · Answer 7 · 2026-04-16 20:50:15

75

Views

Does a statement of the form "for all $X>0$ there exists $x > X$ satisfying some condition" evaluate to "the condition must be true for all $x>0$"?

Published on 16 Apr 2026 - 20:50

score 533 · Answer 8 · 2026-04-12 07:32:53

533

Views

Can you solve any induction problem with base case 0

Published on 12 Apr 2026 - 7:32

score 764 · Answer 9 · 2026-03-28 05:23:27

764

Views

Prove the direct sum of the sets of odd and even functions is $\mathbb{R^{R}}$

Published on 28 Mar 2026 - 5:23

score 112 · Answer 10 · 2026-04-16 00:37:20

112

Views

Prove that $g$ is also continuous at $x=0$.

Published on 16 Apr 2026 - 0:37

score 154 · Answer 11 · 2026-04-11 13:41:23

154

Views

Characterization of a quotient space of $\mathbb{R}^2$

Published on 11 Apr 2026 - 13:41

score 94 · Answer 12 · 2026-04-16 14:14:33

94

Views

I solved but don't know if it is correct, can you help me? Showing $P(X\cup Y)\approx P(X)\times P(Y)$

Published on 16 Apr 2026 - 14:14

score 122 · Answer 13 · 2026-04-16 08:07:01

122

Views

Show that $g_n$ converges to $g$ uniformly.

Published on 16 Apr 2026 - 8:07

score 83 · Answer 14 · 2026-04-16 03:04:39

83

Views

Score Probability Question (Checking my answer)

Published on 16 Apr 2026 - 3:04

score 138 · Answer 15 · 2026-04-12 04:53:47

138

Views

Is this an acceptable proof for If $d^{2}\mid a^{2}$ , then $d\mid a$?

Published on 12 Apr 2026 - 4:53

List Question

Proof $\mu \{ x \in \mathbb{R}: |f|>t \}, t \to \infty$ if $\int |f| < \infty$

Show that $\forall a,x,y \in G:ax=ay\Longrightarrow x=y$ with $(G,\cdot)$ being a group

The conjecture about the existence of closed-form inverses of functions

Proof verification: If factor group $G/Z(G)$ is cyclic then $G$ is Abelian

Find basis to $\begin{bmatrix}1&-4&3&-1\cr2&-8&6&-2\end{bmatrix}$

Proof verification: Baby Rudin Chapter 4 exercise 4

Does a statement of the form "for all $X>0$ there exists $x > X$ satisfying some condition" evaluate to "the condition must be true for all $x>0$"?

Can you solve any induction problem with base case 0

Prove the direct sum of the sets of odd and even functions is $\mathbb{R^{R}}$

Prove that $g$ is also continuous at $x=0$.

Characterization of a quotient space of $\mathbb{R}^2$

I solved but don't know if it is correct, can you help me? Showing $P(X\cup Y)\approx P(X)\times P(Y)$

Show that $g_n$ converges to $g$ uniformly.

Score Probability Question (Checking my answer)

Is this an acceptable proof for If $d^{2}\mid a^{2}$ , then $d\mid a$?

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