List questions from proof-explanation

Published on 14 Apr 2026 - 3:51

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Proving if $x$ is rational then $\sqrt x$ is irrational

Published on 14 Apr 2026 - 20:32

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Proof involving Cartesian products, complements, and universal set (Discrete math)

Published on 10 Apr 2026 - 2:50

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Given $f(x) = \frac{1}{(1+e^{−x})}$, prove $f'(x) = f(1−f)$

Published on 15 Apr 2026 - 4:48

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Question on proof of Casorati–Weierstrass theorem

Published on 10 Apr 2026 - 9:38

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Understanding proof : Runge-Kutta and B-series

Published on 14 Apr 2026 - 18:21

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Proving that there is no negative integer with $n^2+n<0$

Published on 17 Apr 2026 - 15:06

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Understanding Continuity Proof: $y = \sin x$

Published on 10 Apr 2026 - 2:19

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Why is injectivity hard to prove in Yoneda lemma?

Published on 26 Mar 2026 - 17:35

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Given that $a > 0$, $b > 0$ and $b > a$, prove the solution of $a^b = b^a$

Published on 13 Apr 2026 - 19:31

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Proof of Riemann condition on $\mathbb{R^n}$

Published on 11 Apr 2026 - 17:01

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how $||T||=1$ in $(\eta_j)=T(x), \eta_j=\frac{\zeta_j}{j}, x=(\zeta_j)$?

Published on 16 Apr 2026 - 8:10

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If $R$ is a binary relation over $A$ where $I_A \subseteq R $ and $R \circ R \subseteq R$ then $R$ is reflexive and transitive

Published on 15 Apr 2026 - 16:21

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Regarding a conclusion of a step involving solvable factorgroups and solvable normal subgroup

Published on 16 Apr 2026 - 12:32

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Proof review/explanation: Let $\text{char}(\mathbb{K}) = 0$. It then follows that $AB-BA \ne 1 \, (A, B \in \Bbb K^{n \times n})$

Published on 15 Apr 2026 - 7:39

List Question

Intuition of the proof on the minimality of $\mathbb{N}$

Proving if $x$ is rational then $\sqrt x$ is irrational

Proof involving Cartesian products, complements, and universal set (Discrete math)

Given $f(x) = \frac{1}{(1+e^{−x})}$, prove $f'(x) = f(1−f)$

Question on proof of Casorati–Weierstrass theorem

Understanding proof : Runge-Kutta and B-series

Proving that there is no negative integer with $n^2+n<0$

Understanding Continuity Proof: $y = \sin x$

Why is injectivity hard to prove in Yoneda lemma?

Given that $a > 0$, $b > 0$ and $b > a$, prove the solution of $a^b = b^a$

Proof of Riemann condition on $\mathbb{R^n}$

how $||T||=1$ in $(\eta_j)=T(x), \eta_j=\frac{\zeta_j}{j}, x=(\zeta_j)$?

If $R$ is a binary relation over $A$ where $I_A \subseteq R $ and $R \circ R \subseteq R$ then $R$ is reflexive and transitive

Regarding a conclusion of a step involving solvable factorgroups and solvable normal subgroup

Proof review/explanation: Let $\text{char}(\mathbb{K}) = 0$. It then follows that $AB-BA \ne 1 \, (A, B \in \Bbb K^{n \times n})$

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