List questions from proof-writing

Published on 15 Apr 2026 - 12:40

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Show that two lines are perpendicular in the complex plane.

Published on 14 Apr 2026 - 4:12

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For all natural numbers $n,\; n^2-n$ is even.

Published on 15 Apr 2026 - 16:39

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What does a geometric proof look like?

Published on 11 Apr 2026 - 14:19

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Constructing a numerical proof that integration is equivalent to antidifferentiation

Published on 17 Apr 2026 - 15:55

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Structure of Proofs of Invertibility?

Published on 25 Mar 2026 - 16:01

131

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Prove $\sqrt{x^2+1} + \frac{1}{\sqrt{x^2 +1}}\geq 2$

Published on 17 Apr 2026 - 14:34

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Is Case 2 of my proof that $\sum_{i=1}^n a_i=\sum_{i=1}^n a_{\sigma(i)}$ correct?

Published on 15 Apr 2026 - 1:34

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Contributing to a unsolved problem and writing a paper about it

Published on 17 Apr 2026 - 16:19

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Is it always necessary to prove the 'iff' in both directions?

Published on 15 Apr 2026 - 16:35

167

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What is a good reference for learning/improving proof writing?

Published on 08 Apr 2026 - 16:45

103

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Application of Chebyschev inequality

Published on 07 Apr 2026 - 8:48

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Find a set $X$ such that $X\cap P(X)\neq\emptyset$

Published on 16 Apr 2026 - 17:22

253

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For which $a\in\mathbb{R}$ is $f: (0,\infty)\to\mathbb{R}$, $f(x)=x^a$ Lipschitz-continuous?

Published on 15 Apr 2026 - 12:29

202

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Is $f:[0,10]\to\mathbb R\mid f(x)=x-[x]$ Riemann-Integrable?

Published on 14 Apr 2026 - 23:25

List Question

To what extent can I "disjointize" an arbitary collection of sets?

Show that two lines are perpendicular in the complex plane.

For all natural numbers $n,\; n^2-n$ is even.

What does a geometric proof look like?

Constructing a numerical proof that integration is equivalent to antidifferentiation

Structure of Proofs of Invertibility?

Prove $\sqrt{x^2+1} + \frac{1}{\sqrt{x^2 +1}}\geq 2$

Is Case 2 of my proof that $\sum_{i=1}^n a_i=\sum_{i=1}^n a_{\sigma(i)}$ correct?

Contributing to a unsolved problem and writing a paper about it

Is it always necessary to prove the 'iff' in both directions?

What is a good reference for learning/improving proof writing?

Application of Chebyschev inequality

Find a set $X$ such that $X\cap P(X)\neq\emptyset$

For which $a\in\mathbb{R}$ is $f: (0,\infty)\to\mathbb{R}$, $f(x)=x^a$ Lipschitz-continuous?

Is $f:[0,10]\to\mathbb R\mid f(x)=x-[x]$ Riemann-Integrable?

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