List questions from proof-explanation

Published on 15 Apr 2026 - 14:04

576

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Show by counter example that $\{xy : x ∈ I,y ∈ J\}$ need not be an ideal

Published on 12 Apr 2026 - 6:08

2.6k

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If two matrices have the same column space and null space, are they the same matrix?

Published on 17 Apr 2026 - 12:52

1k

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Proof of Kurtosis for a sum of independent random Variables

Published on 11 Apr 2026 - 12:34

665

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What is the average distance from the origin to the edge of offset circle?

Published on 14 Apr 2026 - 8:04

103

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Mean Value Theorem to prove an inequality

Published on 11 Apr 2026 - 12:11

68

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Prove that $\left| \sum_{j=1}^{n}a_j\bar{b_j} \right| \leq \frac{1}{\alpha}\sum_{j=1}^n|a_j|^2 + \frac{\alpha}{4}\sum_{j=1}^n|b_j|^2$

Published on 16 Apr 2026 - 3:42

2.3k

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Is this proof valid?: For every positive $x \in\mathbb{Q}$, there is a positive $y \in \mathbb{Q}$ for which $y < x$

Published on 11 Apr 2026 - 21:47

1.9k

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(Proof clarification): Continuous functions on R must be Lebesgue measurable

Published on 24 Apr 2026 - 10:08

1.4k

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Is there a proof that is true for all cases except for exactly one case?

Published on 10 Apr 2026 - 13:59

5.4k

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Are the 4 triangles formed by midpoints of of a triangle congruent?

Published on 12 Apr 2026 - 21:00

25

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Prove the following given $0<a<b$.

Published on 14 Apr 2026 - 10:57

37

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Proving solution set equivalency

Published on 12 Apr 2026 - 21:28

399

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Discrete Metric Space Clarification

Published on 17 Apr 2026 - 13:44

186

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Question about the proof of $[GF(p^n):GF(p)] = n$

Published on 15 Apr 2026 - 17:26

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Questions concerning Trace Theorem (Evans - PDE)

Show by counter example that $\{xy : x ∈ I,y ∈ J\}$ need not be an ideal

If two matrices have the same column space and null space, are they the same matrix?

Proof of Kurtosis for a sum of independent random Variables

What is the average distance from the origin to the edge of offset circle?

Mean Value Theorem to prove an inequality

Prove that $\left| \sum_{j=1}^{n}a_j\bar{b_j} \right| \leq \frac{1}{\alpha}\sum_{j=1}^n|a_j|^2 + \frac{\alpha}{4}\sum_{j=1}^n|b_j|^2$

Is this proof valid?: For every positive $x \in\mathbb{Q}$, there is a positive $y \in \mathbb{Q}$ for which $y < x$

(Proof clarification): Continuous functions on R must be Lebesgue measurable

Is there a proof that is true for all cases except for exactly one case?

Are the 4 triangles formed by midpoints of of a triangle congruent?

Prove the following given $0<a<b$.

Proving solution set equivalency

Discrete Metric Space Clarification

Question about the proof of $[GF(p^n):GF(p)] = n$

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