List questions from proof-explanation

Published on 11 Apr 2026 - 17:57

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Show that $\lim_{n\to\infty} \sqrt[n]{a^{n} + b^{n}} = \max(a, b)$

Published on 15 Apr 2026 - 18:34

178

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Why $G=H\times K$ implies $G=H\vee K$?

Published on 13 Apr 2026 - 12:33

101

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Questions on ordered sets?

Published on 10 Apr 2026 - 22:48

762

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ELI5 How to prove $a * 0 = 0$

Published on 12 Apr 2026 - 11:42

2.3k

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Is my proof of the identity $|e^{iy}|=1$ logically valid?

Published on 11 Apr 2026 - 4:04

41

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Understanding a proof about equivalence of norms in metric spaces.

Published on 09 Apr 2026 - 2:26

369

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Understanding a proof about Möbius transformations on Poincaré Half-Plane

Published on 10 Apr 2026 - 4:24

64

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How to immediately see that $2-\frac{(n+1)^2-n}{n(n+1)^2}\le2-\frac1{n+1}$

Published on 16 Apr 2026 - 10:28

69

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Induction involving series with exponents $(1+2+3+\cdots+n)^2=1^3+2^3+3^3+\cdots+n^3$

Published on 17 Apr 2026 - 1:58

51

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Proving an inequality

Published on 12 Apr 2026 - 23:46

101

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Manipulating expression $(\frac{1}{4}+\frac{1}{2^{n+1}})(1-\frac{1}{2^{n+1}})$ in inductive step.

Published on 16 Apr 2026 - 22:31

39

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For $p$ an odd prime and $i\ge 1$ integer there exists $\nu \in \mathbb{Z}$ such that : $(1+p)^{{p}^{i}}=1+\nu p^{i+1}$

Published on 16 Apr 2026 - 7:47

81

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Cardinality of the set $[a,b]$ where $0 < a \leq b$ and $a,b \in \mathbb{N}$.

Published on 16 Apr 2026 - 5:42

64

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Trouble understanding the graph of a function

Published on 14 Apr 2026 - 4:40

List Question

(From Axler)Why does the basis satisfy the required conditions?

Show that $\lim_{n\to\infty} \sqrt[n]{a^{n} + b^{n}} = \max(a, b)$

Why $G=H\times K$ implies $G=H\vee K$?

Questions on ordered sets?

ELI5 How to prove $a * 0 = 0$

Is my proof of the identity $|e^{iy}|=1$ logically valid?

Understanding a proof about equivalence of norms in metric spaces.

Understanding a proof about Möbius transformations on Poincaré Half-Plane

How to immediately see that $2-\frac{(n+1)^2-n}{n(n+1)^2}\le2-\frac1{n+1}$

Induction involving series with exponents $(1+2+3+\cdots+n)^2=1^3+2^3+3^3+\cdots+n^3$

Proving an inequality

Manipulating expression $(\frac{1}{4}+\frac{1}{2^{n+1}})(1-\frac{1}{2^{n+1}})$ in inductive step.

For $p$ an odd prime and $i\ge 1$ integer there exists $\nu \in \mathbb{Z}$ such that : $(1+p)^{{p}^{i}}=1+\nu p^{i+1}$

Cardinality of the set $[a,b]$ where $0 < a \leq b$ and $a,b \in \mathbb{N}$.

Trouble understanding the graph of a function

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