Question

Proof that infinite lists cannot be shuffled uniformly

score 57 · Answer 1 · 2026-04-13 04:07:56

57

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Proof that infinite lists cannot be shuffled uniformly

Published on 13 Apr 2026 - 4:07

score 102 · Answer 2 · 2026-04-14 08:49:12

102

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Exercise 17 on p.39 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my proof ok?

Published on 14 Apr 2026 - 8:49

score 130 · Answer 3 · 2026-04-10 14:00:31

130

Views

Is this formula true?

Published on 10 Apr 2026 - 14:00

score 56 · Answer 4 · 2026-04-11 16:55:34

56

Views

Does $2$ commute in a ring?

Published on 11 Apr 2026 - 16:55

score 19 · Answer 5 · 2026-04-28 09:49:55

19

Views

Proving an integrable function is finite almost everywhere

Published on 28 Apr 2026 - 9:49

score 81 · Answer 6 · 2026-04-16 04:36:07

81

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Prove or disprove the equality $\biggl\langle\bigcap_{Y\in\mathcal Y}Y\biggl\rangle = \bigcap_{Y\in\mathcal Y}\langle Y\rangle$

Published on 16 Apr 2026 - 4:36

score 71 · Answer 7 · 2026-04-13 21:17:57

71

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If $H \subseteq xHx^{-1} \, \forall x \in G $ then we have $H=xHx^{-1} \, \forall x \in G$.

Published on 13 Apr 2026 - 21:17

score 43 · Answer 8 · 2026-04-16 23:25:15

43

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Question on the proof that if $E \subset \mathbb R$ and $E = H \cup N$ with $H$ a $F_\sigma$ set and $\mu(N) = 0$, then $E \subset \mathcal A_{\mu}$

Published on 16 Apr 2026 - 23:25

score 68 · Answer 9 · 2026-04-17 01:43:17

68

Views

Try to find a nowhere vanishing vector field $F$ on $S^1$ such that $F(\vec{x})$ is tangent to $S^1$ at $\vec{x}$

Published on 17 Apr 2026 - 1:43

score 107 · Answer 10 · 2026-04-25 02:34:21

107

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Prove lengthening sides of non-acute triangle must lengthen the corresponding base

Published on 25 Apr 2026 - 2:34

score 56 · Answer 11 · 2026-04-14 16:50:13

56

Views

Example Calculation: Mackey's theorem for $S_5$

Published on 14 Apr 2026 - 16:50

score 84 · Answer 12 · 2026-04-13 03:15:21

84

Views

Prove a set S of vectors is linearly independent

Published on 13 Apr 2026 - 3:15

score 87 · Answer 13 · 2026-04-16 11:03:30

87

Views

Is this proof correct? For every $\alpha\in\mathbb{C}$, $\exists$ a unique $\beta\in\mathbb{C}$ such that $\alpha + \beta = 0$

Published on 16 Apr 2026 - 11:03

score 118 · Answer 14 · 2026-04-30 01:36:33

118

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How many $(x,y)$ solutions does the system $\begin{cases}3^x+4^y=13 \\ \log_3x - \log_4y=1\end{cases}$ have?

Published on 30 Apr 2026 - 1:36

score 357 · Answer 15 · 2026-04-10 23:12:48

357

Views

Another definition of a smooth map between manifolds

Published on 10 Apr 2026 - 23:12

List Question

Proof that infinite lists cannot be shuffled uniformly

Exercise 17 on p.39 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my proof ok?

Is this formula true?

Does $2$ commute in a ring?

Proving an integrable function is finite almost everywhere

Prove or disprove the equality $\biggl\langle\bigcap_{Y\in\mathcal Y}Y\biggl\rangle = \bigcap_{Y\in\mathcal Y}\langle Y\rangle$

If $H \subseteq xHx^{-1} \, \forall x \in G $ then we have $H=xHx^{-1} \, \forall x \in G$.

Question on the proof that if $E \subset \mathbb R$ and $E = H \cup N$ with $H$ a $F_\sigma$ set and $\mu(N) = 0$, then $E \subset \mathcal A_{\mu}$

Try to find a nowhere vanishing vector field $F$ on $S^1$ such that $F(\vec{x})$ is tangent to $S^1$ at $\vec{x}$

Prove lengthening sides of non-acute triangle must lengthen the corresponding base

Example Calculation: Mackey's theorem for $S_5$

Prove a set S of vectors is linearly independent

Is this proof correct? For every $\alpha\in\mathbb{C}$, $\exists$ a unique $\beta\in\mathbb{C}$ such that $\alpha + \beta = 0$

How many $(x,y)$ solutions does the system $\begin{cases}3^x+4^y=13 \\ \log_3x - \log_4y=1\end{cases}$ have?

Another definition of a smooth map between manifolds

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