List questions from alternative-proof

Published on 21 Oct 2015 - 13:50

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Proof of the Reverse Triangle Inequality

Published on 01 Apr 2026 - 0:51

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The quotient of a Dedekind domain by a principal ideal is a principal ideal ring.

Published on 23 Oct 2015 - 8:38

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If $\liminf\, |a_n|=0.$ Does there exists a subsequence of $\{a_n\}$ which has finite sum?

Published on 02 Apr 2026 - 19:21

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If all continuous functions $f: X\subset \mathbb{R}\to \mathbb{R}$ are bounded then $X$ is compact

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Complex 'mean-value-theorem'-like property implies quadratic

Published on 27 Oct 2015 - 23:36

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What is the use of Dirichlet Integral?

Published on 03 Apr 2026 - 21:41

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Check my proof of showing that diam$(A)=$ diam$(\bar{A})$

Published on 28 Oct 2015 - 23:40

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$\bigcup\limits_{i=1}^n A_i$ has finite diameter for each finite $A_i$

Published on 29 Oct 2015 - 0:09

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Is an isometry necessarily surjective?

Published on 13 Mar 2026 - 6:05

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How to complete the following proof of Bolzano's Theorem?

Published on 03 Nov 2015 - 3:17

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Shouldn't this be the standard way to prove that if $p>1$ then $p^n \to +\infty$?

Published on 03 Nov 2015 - 20:18

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Overlapping of unit length real lines?

Published on 05 Nov 2015 - 11:49

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How to show that $x_n = \sum_{k=1}^{n} \frac{\cos(k+1)x - \cos kx}{k}$ converges using Cauchy convergence theorem?

Published on 02 Apr 2026 - 15:45

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Assumptions needed for proof of the Pythagorean Theorem from examples

Published on 27 Mar 2026 - 23:37

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Proof that $|d(x,y) + d(y,z)| \leq d(x,z)$

Proof of the Reverse Triangle Inequality

The quotient of a Dedekind domain by a principal ideal is a principal ideal ring.

If $\liminf\, |a_n|=0.$ Does there exists a subsequence of $\{a_n\}$ which has finite sum?

If all continuous functions $f: X\subset \mathbb{R}\to \mathbb{R}$ are bounded then $X$ is compact

Complex 'mean-value-theorem'-like property implies quadratic

What is the use of Dirichlet Integral?

Check my proof of showing that diam$(A)=$ diam$(\bar{A})$

$\bigcup\limits_{i=1}^n A_i$ has finite diameter for each finite $A_i$

Is an isometry necessarily surjective?

How to complete the following proof of Bolzano's Theorem?

Shouldn't this be the standard way to prove that if $p>1$ then $p^n \to +\infty$?

Overlapping of unit length real lines?

How to show that $x_n = \sum_{k=1}^{n} \frac{\cos(k+1)x - \cos kx}{k}$ converges using Cauchy convergence theorem?

Assumptions needed for proof of the Pythagorean Theorem from examples

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