List questions from solution-verification

Published on 26 Mar 2026 - 9:16

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Solving this trigonometric equation

Published on 08 May 2020 - 18:37

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To find out $H_1(CX,X)$

Published on 08 May 2020 - 19:37

581

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Show $\sqrt[3]{5}$ is not contained in any cyclotomic extension of $\mathbb{Q}$.

Published on 08 May 2020 - 20:15

44

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$x^{(n)}$ converges to $x$ with respect to the discrete metric $d_{disc}$ iff there exists an $N\geq m$ such that $x^{(n)} = x$ for all $n\geq N$.

Published on 08 May 2020 - 23:32

45

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general topology subbase of factor spaces

Published on 12 Apr 2026 - 2:09

243

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Let $(X,d)$ be a compact metric space. Then $(X,d)$ is both complete and bounded.

Published on 28 Mar 2026 - 23:20

62

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Polynomials over Finite Fields.

Published on 12 Apr 2026 - 8:26

77

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Prove. $\lim_{x \to 2} \frac{x+3}{x-1} = 5$, from first princibles.

Published on 09 May 2020 - 10:13

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Proofs checkable by a computer

Published on 29 Mar 2026 - 6:27

180

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My attempt at computing transformation of Christoffel symbols under frame transformation

Published on 11 Apr 2026 - 16:41

36

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Alternative to a proof in Kreyszig's functional analysis book?

Published on 08 Apr 2026 - 9:37

182

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Show that there is a rational number $b$ such that $ab = ba = 1$ using First Order Logic.

Published on 26 Mar 2026 - 10:46

1.4k

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How do we prove that a function is continuous iff it maps convergent sequences onto convergent sequences?

Published on 09 May 2020 - 17:32

89

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False proof using Nullstellensatz : Let $J = (S)$ an ideal of polynomials then $\sqrt{S} = \sqrt{J}.$ What's wrong?

Published on 11 Apr 2026 - 23:14

List Question

Prove $T=T'$ using Natural Deduction.

Solving this trigonometric equation

To find out $H_1(CX,X)$

Show $\sqrt[3]{5}$ is not contained in any cyclotomic extension of $\mathbb{Q}$.

$x^{(n)}$ converges to $x$ with respect to the discrete metric $d_{disc}$ iff there exists an $N\geq m$ such that $x^{(n)} = x$ for all $n\geq N$.

general topology subbase of factor spaces

Let $(X,d)$ be a compact metric space. Then $(X,d)$ is both complete and bounded.

Polynomials over Finite Fields.

Prove. $\lim_{x \to 2} \frac{x+3}{x-1} = 5$, from first princibles.

Proofs checkable by a computer

My attempt at computing transformation of Christoffel symbols under frame transformation

Alternative to a proof in Kreyszig's functional analysis book?

Show that there is a rational number $b$ such that $ab = ba = 1$ using First Order Logic.

How do we prove that a function is continuous iff it maps convergent sequences onto convergent sequences?

False proof using Nullstellensatz : Let $J = (S)$ an ideal of polynomials then $\sqrt{S} = \sqrt{J}.$ What's wrong?

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