Question

Proving that a dynamical system is not uniquely ergodic due to periodic orbits

score 51 · Answer 1 · 2026-04-11 13:12:51

51

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Proving that a dynamical system is not uniquely ergodic due to periodic orbits

Published on 11 Apr 2026 - 13:12

score 246 · Answer 2 · 2026-04-17 01:09:05

246

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Math for fun: Finding the exact value of $\sin(10\unicode{xB0})$

Published on 17 Apr 2026 - 1:09

score 98 · Answer 3 · 2026-04-17 03:19:07

98

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If $\lvert a-b \rvert <\epsilon$, with $a$ and $b$ constants and $\epsilon >0$, then prove that $a=b$

Published on 17 Apr 2026 - 3:19

score 34 · Answer 4 · 2026-04-15 17:42:21

34

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$N$ coins placed randomly on vertices of $M$-sided regular polygon. Find expected value and var. of the number of sides with coins on both vertices.

Published on 15 Apr 2026 - 17:42

score 95 · Answer 5 · 2026-04-10 05:58:36

95

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Do unit quaternions admit a continuous square root function?

Published on 10 Apr 2026 - 5:58

score 77 · Answer 6 · 2026-04-15 02:28:12

77

Views

Incorrect proof: $\frac32-\frac{\pi^2}6=\sum_{k=1}^\infty\frac{(k+1)!B_{2k}}{(2k)!}$

Published on 15 Apr 2026 - 2:28

score 189 · Answer 7 · 2026-04-15 22:27:01

189

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If $\mathbb{V}$ is a vector space, is it always true that $\mathbb{V} = \text{span}(\mathbb{V})$?

Published on 15 Apr 2026 - 22:27

score 375 · Answer 8 · 2026-03-28 12:02:41

375

Views

Proof attempt for a weaker form of the Collatz Conjecture

Published on 28 Mar 2026 - 12:02

score 159 · Answer 9 · 2026-04-11 18:58:06

159

Views

Proving $\mathbb{R}$ is a subfield of $\mathbb{C}$: Is preservation of operations necessary?

Published on 11 Apr 2026 - 18:58

score 39 · Answer 10 · 2026-04-12 04:18:53

39

Views

How to compute the derivative of the maximum of multiple linear functions?

Published on 12 Apr 2026 - 4:18

score 86 · Answer 11 · 2026-04-12 11:10:38

86

Views

Showing that exterior measure and exterior measure defined using rectangles are equivalent

Published on 12 Apr 2026 - 11:10

score 111 · Answer 12 · 2026-04-11 06:30:29

111

Views

Find the sum value: $\sum^{50}_{k=1} \frac{k}{1+k^2+k^4}$

Published on 11 Apr 2026 - 6:30

score 40 · Answer 13 · 2026-04-25 21:14:23

If $\Delta f(x) = f(x+1)-f(x)$ and $\Delta_n f(x) = \Delta \left( \Delta_{n-1} f(x) \right)$. Prove $\Delta_{n+1} P(x) = 0 \quad \forall x \in R$

score 78 · Answer 14 · 2026-04-10 16:45:19

78

Views

Need to find a value of $\alpha$ for which some integral is negative

Published on 10 Apr 2026 - 16:45

score 114 · Answer 15 · 2026-04-15 23:27:33

114

Views

Time and Work Question - Replacement of people over the course of work

Published on 15 Apr 2026 - 23:27

List Question

Proving that a dynamical system is not uniquely ergodic due to periodic orbits

Math for fun: Finding the exact value of $\sin(10\unicode{xB0})$

If $\lvert a-b \rvert <\epsilon$, with $a$ and $b$ constants and $\epsilon >0$, then prove that $a=b$

$N$ coins placed randomly on vertices of $M$-sided regular polygon. Find expected value and var. of the number of sides with coins on both vertices.

Do unit quaternions admit a continuous square root function?

Incorrect proof: $\frac32-\frac{\pi^2}6=\sum_{k=1}^\infty\frac{(k+1)!B_{2k}}{(2k)!}$

If $\mathbb{V}$ is a vector space, is it always true that $\mathbb{V} = \text{span}(\mathbb{V})$?

Proof attempt for a weaker form of the Collatz Conjecture

Proving $\mathbb{R}$ is a subfield of $\mathbb{C}$: Is preservation of operations necessary?

How to compute the derivative of the maximum of multiple linear functions?

Showing that exterior measure and exterior measure defined using rectangles are equivalent

Find the sum value: $\sum^{50}_{k=1} \frac{k}{1+k^2+k^4}$

If $\Delta f(x) = f(x+1)-f(x)$ and $\Delta_n f(x) = \Delta \left( \Delta_{n-1} f(x) \right)$. Prove $\Delta_{n+1} P(x) = 0 \quad \forall x \in R$

Need to find a value of $\alpha$ for which some integral is negative

Time and Work Question - Replacement of people over the course of work

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