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56
votes
Accepted
Can we cover the unit square by these rectangles?
This problem actually goes back to Leo Moser.
The best result that I'm aware of is due to D. Jennings, who proved that all the rectangles of size $k^{-1} × (k + 1)^{-1}$, $k = 1, 2, 3 ...$, can be pac …
4
votes
Optimal packing of spheres tangent to a central sphere
This problem has been studied by many people in a general setting of convex bodies.
Given a convex body $K$ in $\mathbb R^d$ and an $\alpha > 0$, find the maximal number $H_{\alpha}(K)$ of nonover …
6
votes
What is the right citation for the power iteration method to find eigenvalues?
Several researchers indicate that the power iteration method dates back to Herman Müntz. According to the survey aricle "Eigenvalue computation in the 20th century" by Golub and van der Vorst,
…