Question

Are $3^6-6^3$ and $4^8-8^4$ the only sums of four $a^b-b^a,1\lt a\lt b$ numbers?

score 289 · Answer 1 · 2026-04-15 00:04:32

289

Views

Are $3^6-6^3$ and $4^8-8^4$ the only sums of four $a^b-b^a,1\lt a\lt b$ numbers?

Published on 15 Apr 2026 - 0:04

score 116 · Answer 2 · 2026-04-08 21:56:55

116

Views

Modular representation indecomposable but not irreducible?

Published on 08 Apr 2026 - 21:56

score 223 · Answer 3 · 2026-04-13 17:35:11

223

Views

Question regarding non-linear (everywhere) differentiable functions symmetric wrt a line $p\ldots y=kx,k>0$ that also intersect that line

Published on 13 Apr 2026 - 17:35

score 56 · Answer 4 · 2026-04-09 12:49:11

56

Views

How to prove this inequation holds?

Published on 09 Apr 2026 - 12:49

score 79 · Answer 5 · 2026-04-14 12:28:43

79

Views

Representation of $S_3$ that is reducible and indecomposable

Published on 14 Apr 2026 - 12:28

score 106 · Answer 6 · 2026-04-17 18:38:01

106

Views

Does $\mathbb{E}(Y\mid X)=\mathbb{E}(Y)$ and $\mathbb{E}(X\mid Y)=\mathbb{E}(X)$ imply $X,Y$ are independent?

Published on 17 Apr 2026 - 18:38

score 74 · Answer 7 · 2026-04-14 17:40:41

74

Views

Disprove $P(A\mid B) + P(A\mid\bar{B}) = 1$

Published on 14 Apr 2026 - 17:40

score 94 · Answer 8 · 2026-03-25 23:16:36

94

Views

Squares on local rings of characteristic 2

Published on 25 Mar 2026 - 23:16

score 153 · Answer 9 · 2026-04-14 03:04:23

153

Views

Disproving with a counter example when changing which side is the subset

Published on 14 Apr 2026 - 3:04

score 198 · Answer 10 · 2026-04-17 13:44:03

198

Views

Prove that $\frac{\sin^22\alpha}{\sin(2\alpha+\beta)}=\frac{\sin^22\beta}{\sin(2\beta+\alpha)}$ is true only for $\alpha=\beta$

Published on 17 Apr 2026 - 13:44

score 115 · Answer 11 · 2026-04-15 13:23:00

115

Views

If $(Df)(x_)$ has a striclty positive eigenvalue then $x_$ is instable for $\dot x = f(x)$?

Published on 15 Apr 2026 - 13:23

score 217 · Answer 12 · 2026-04-17 02:49:51

217

Views

Examples of finite groups $(G,\cdot)$ where multiplication is string concatenation followed by a 'put back to standard form' algorithm.

Published on 17 Apr 2026 - 2:49

score 50 · Answer 13 · 2026-04-15 20:15:25

50

Views

If $\vert X\vert \geq \aleph_0$, is $\vert\{ A\subseteq X: \vert A \vert< \vert X\vert \} \vert<\vert 2^X \vert$?

Published on 15 Apr 2026 - 20:15

score 88 · Answer 14 · 2026-04-16 14:15:58

88

Views

If $A$ and $A \cap B$ are in a $\sigma$-algebra, is $B$ in the $\sigma$-algebra?

Published on 16 Apr 2026 - 14:15

score 380 · Answer 15 · 2026-04-15 12:47:20

380

Views

Does every positive Lebesgue measure set in $\mathbb{R}^2$ contain a product of positive Lebesgue measure sets up to a null set?

Published on 15 Apr 2026 - 12:47

List Question

Are $3^6-6^3$ and $4^8-8^4$ the only sums of four $a^b-b^a,1\lt a\lt b$ numbers?

Modular representation indecomposable but not irreducible?

Question regarding non-linear (everywhere) differentiable functions symmetric wrt a line $p\ldots y=kx,k>0$ that also intersect that line

How to prove this inequation holds?

Representation of $S_3$ that is reducible and indecomposable

Does $\mathbb{E}(Y\mid X)=\mathbb{E}(Y)$ and $\mathbb{E}(X\mid Y)=\mathbb{E}(X)$ imply $X,Y$ are independent?

Disprove $P(A\mid B) + P(A\mid\bar{B}) = 1$

Squares on local rings of characteristic 2

Disproving with a counter example when changing which side is the subset

Prove that $\frac{\sin^22\alpha}{\sin(2\alpha+\beta)}=\frac{\sin^22\beta}{\sin(2\beta+\alpha)}$ is true only for $\alpha=\beta$

If $(Df)(x_)$ has a striclty positive eigenvalue then $x_$ is instable for $\dot x = f(x)$?

Examples of finite groups $(G,\cdot)$ where multiplication is string concatenation followed by a 'put back to standard form' algorithm.

If $\vert X\vert \geq \aleph_0$, is $\vert\{ A\subseteq X: \vert A \vert< \vert X\vert \} \vert<\vert 2^X \vert$?

If $A$ and $A \cap B$ are in a $\sigma$-algebra, is $B$ in the $\sigma$-algebra?

Does every positive Lebesgue measure set in $\mathbb{R}^2$ contain a product of positive Lebesgue measure sets up to a null set?

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