Mathematics
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Hanno
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$\exists\:$ another solution $\:\big|\:$ Someone shall present it.
"It is better to solve one problem five different
ways, than to solve five problems one way."
George Pólya (1887 - 1985)

$\exists\:$ something $\:\big|\:$ I've overlooked it.
"The Art of being wise is the Art of knowing what to overlook."
William James (1842 - 1910)

An answer of mine, regarding Kaprekar's constant $6174$
Quite happy with it, despite still being incomplete.

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All Questions Answers
Score Newest
answer
21
The relation between trace and determinant of a matrix
Jan 6, 2017
question
14
The inequality $\,2+\sqrt{\frac p2}\leq\sum\limits_\text{cyc}\sqrt{\frac{a^2+pbc}{b^2+c^2}}\,$ where $0\leq p\leq 2$ is: Probably true! Provably true?
Mar 19, 2021
answer
11
If $f(x)=x^2$, then what is $f(\emptyset)\,?$
Feb 11, 2017
question
10
SOS: Proof of the AM-GM inequality
Apr 21, 2017
question
8
Shortest paths in the Hypercube
May 30, 2017
answer
7
How does one prove the determinant inequality $\det\left(6(A^3+B^3+C^3)+I_{n}\right)\ge 5^n\det(A^2+B^2+C^2)$?
Jan 18, 2020
answer
6
Does $\mathcal{B}(\mathcal{H})=\mathcal{H}\otimes\mathcal{H}^*$ in infinite dimensions?
Mar 29, 2018
answer
6
Prove that the polar decomposition of normal matrices, $A=SU$, is such that $SU=US$
Dec 13, 2018
question
5
Here is another "$e$-$\pi$-without -calculating" comparison
Jan 6, 2021
answer
5
Prove that the product of two positive linear operators is positive if and only if they commute.
Oct 10, 2018
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13
Accepting one answer if several answers form a partition of a full answer
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28
Wanted: Positivity certificate for the AM-GM inequality in low dimension
8
Checkmating the bare king with 3 knights – can the mate be forced on any edge square?

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