Question

Exercise 1, Section 7.2 of Hoffman’s Linear Algebra

score 70 · Answer 1 · 2026-04-11 10:42:49

70

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Exercise 1, Section 7.2 of Hoffman’s Linear Algebra

Published on 11 Apr 2026 - 10:42

score 51 · Answer 2 · 2026-04-14 17:19:46

51

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Something feels not right with my proof for $X_n \to X$ a.s. and $Y_n \to Y$ a.s. then $X_n + Y_n \to X + Y$ a.s.

Published on 14 Apr 2026 - 17:19

score 578 · Answer 3 · 2026-04-16 10:05:44

578

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Proving that $\operatorname{rad}(G) \le \operatorname{diam}(G) \le 2\operatorname{rad}(G)$

Published on 16 Apr 2026 - 10:05

score 64 · Answer 4 · 2026-04-24 23:09:10

64

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1984 IMO Q4 Geometry proof check

Published on 24 Apr 2026 - 23:09

score 77 · Answer 5 · 2026-04-13 17:20:00

77

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Triple integral - volume of a solid body

Published on 13 Apr 2026 - 17:20

score 84 · Answer 6 · 2026-04-08 19:56:04

84

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How to modify a proof to avoid using subtraction of natural numbers

Published on 08 Apr 2026 - 19:56

score 122 · Answer 7 · 2026-03-26 12:40:50

122

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Is Lagrange group theorem still valid for infinite groups?

Published on 26 Mar 2026 - 12:40

score 78 · Answer 8 · 2026-04-09 17:55:06

78

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The dihedral group $D_n$ cannot be written as a product of two nontrivial groups

Published on 09 Apr 2026 - 17:55

score 65 · Answer 9 · 2026-04-16 13:47:02

65

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Need help with determining if sequences $a_{n}=\frac{n+3}{n+2}$ and $a_{n}=\frac{n-1}{n+1}$ are increasing or decreasing

Published on 16 Apr 2026 - 13:47

score 70 · Answer 10 · 2026-04-13 04:19:25

70

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Finding the second partial derivative (with respect to $x$) of an implicit function

Published on 13 Apr 2026 - 4:19

score 139 · Answer 11 · 2026-04-11 23:54:54

139

Views

Fubini's theorem in Lebesgue integral theory. Incomprehensible point in the proof by Axler.

Published on 11 Apr 2026 - 23:54

score 43 · Answer 12 · 2026-04-16 13:30:00

Let $A_{x}= (x-1, x+1)$ and $\mathcal{A}=\{A_{x} \ | \ x \in \mathbb{R}^{+}\}$. Find $\bigcup \mathcal{A}$ and $\bigcap \mathcal{A}$.

score 84 · Answer 13 · 2026-04-13 03:08:02

84

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Are there any non-trivial mathematical hypotheses that cannot be disproved by counterexample?

Published on 13 Apr 2026 - 3:08

score 65 · Answer 14 · 2026-04-11 20:12:07

65

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direct complement

Published on 11 Apr 2026 - 20:12

score 257 · Answer 15 · 2026-04-17 04:15:46

257

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Let $G_1, G_2, ... , G_t$ be finite groups, and define $G = G_1 × G_2 × \cdots × G_t$. If $G$ is cyclic then $G_1,G_2,...,G_t$ must also be cyclic.

Published on 17 Apr 2026 - 4:15

List Question

Exercise 1, Section 7.2 of Hoffman’s Linear Algebra

Something feels not right with my proof for $X_n \to X$ a.s. and $Y_n \to Y$ a.s. then $X_n + Y_n \to X + Y$ a.s.

Proving that $\operatorname{rad}(G) \le \operatorname{diam}(G) \le 2\operatorname{rad}(G)$

1984 IMO Q4 Geometry proof check

Triple integral - volume of a solid body

How to modify a proof to avoid using subtraction of natural numbers

Is Lagrange group theorem still valid for infinite groups?

The dihedral group $D_n$ cannot be written as a product of two nontrivial groups

Need help with determining if sequences $a_{n}=\frac{n+3}{n+2}$ and $a_{n}=\frac{n-1}{n+1}$ are increasing or decreasing

Finding the second partial derivative (with respect to $x$) of an implicit function

Fubini's theorem in Lebesgue integral theory. Incomprehensible point in the proof by Axler.

Let $A_{x}= (x-1, x+1)$ and $\mathcal{A}=\{A_{x} \ | \ x \in \mathbb{R}^{+}\}$. Find $\bigcup \mathcal{A}$ and $\bigcap \mathcal{A}$.

Are there any non-trivial mathematical hypotheses that cannot be disproved by counterexample?

direct complement

Let $G_1, G_2, ... , G_t$ be finite groups, and define $G = G_1 × G_2 × \cdots × G_t$. If $G$ is cyclic then $G_1,G_2,...,G_t$ must also be cyclic.

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