List questions from proof-explanation

Published on 25 Mar 2026 - 9:36

533

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$\;32\displaystyle\left(\sum_{c}\frac{1}{7+(x-3)^2}\right)\leq \sum_{c} \frac{x^2+yz}{y+z}+6$

Published on 25 Mar 2026 - 13:05

129

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Proving a triple vector product identity

Published on 25 Aug 2018 - 16:44

878

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Prove that the only eigenvalue of a unipotent matrix is 1.

Published on 25 Mar 2026 - 20:42

2.7k

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Is modus ponens a tautology?

Published on 26 Aug 2018 - 2:22

2.4k

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$\{a_1, a_2, a_3, ...\}$ is a non-constant arithmetic sequence, while both $a_1, a_2, a_6$ and $a_1, a_4$, an are finite geometric sequences. Find $n$

Published on 26 Aug 2018 - 7:46

57

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$5$ real numbers tied by two equations: understanding a proof of the related problem.

Published on 26 Aug 2018 - 12:38

217

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Understanding a fact in a proof of Brooks's theorem

Published on 26 Aug 2018 - 13:41

345

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Tao Analysis Vol I questions, "logically equivalence" problems

Published on 26 Aug 2018 - 15:43

90

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Question on the amount of binary bits operations in binary division.

Published on 25 Mar 2026 - 19:10

423

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Rudin's Proof that $\nexists x \in \mathbb{Q}, x^2 = 12$

Published on 28 Mar 2026 - 0:35

192

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Prove that $M \cap \mathbb{N} \neq\emptyset$, where $M = \{ x-qd \mid q \in \mathbb{Z} \}$

Published on 27 Aug 2018 - 19:54

105

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If $A+B+C+D=0$ such that $A,B,C,D$ are points on a unit circle, then the points form a rectangle (geometric proof)

Published on 27 Aug 2018 - 20:59

1.2k

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Discrete Math Complement Proof

Published on 28 Aug 2018 - 1:26

431

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$S=\{e^{inx}\mid n\in \mathbb Z\}$ where $x\notin \pi\mathbb Q$ is dense in $S^1$

Published on 28 Aug 2018 - 8:34

List Question

Proof that $x \neq x$ is false, in logic

$\;32\displaystyle\left(\sum_{c}\frac{1}{7+(x-3)^2}\right)\leq \sum_{c} \frac{x^2+yz}{y+z}+6$

Proving a triple vector product identity

Prove that the only eigenvalue of a unipotent matrix is 1.

Is modus ponens a tautology?

$\{a_1, a_2, a_3, ...\}$ is a non-constant arithmetic sequence, while both $a_1, a_2, a_6$ and $a_1, a_4$, an are finite geometric sequences. Find $n$

$5$ real numbers tied by two equations: understanding a proof of the related problem.

Understanding a fact in a proof of Brooks's theorem

Tao Analysis Vol I questions, "logically equivalence" problems

Question on the amount of binary bits operations in binary division.

Rudin's Proof that $\nexists x \in \mathbb{Q}, x^2 = 12$

Prove that $M \cap \mathbb{N} \neq\emptyset$, where $M = \{ x-qd \mid q \in \mathbb{Z} \}$

If $A+B+C+D=0$ such that $A,B,C,D$ are points on a unit circle, then the points form a rectangle (geometric proof)

Discrete Math Complement Proof

$S=\{e^{inx}\mid n\in \mathbb Z\}$ where $x\notin \pi\mathbb Q$ is dense in $S^1$

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