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Q&A for professional mathematicians
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Hottest Questions Today - MathOverflow
Skip to main content Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, ...
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I hope everyone is doing well. Let $K \subset \mathbb{R}^n$ be a centrally symmetric convex body $(K = -K)$. Denote by $K \mid H$ the orthogonal projection of $K$ onto $H$, where $H$ is an $n - 1$
Mathoverflow.net news digest
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9 years
Rule for Finding Largest Possible Perimeter
Some months ago I was given a high-school level maths question that made me wonder if there was a definitive principle for finding the shape of largest perimeter given a set of dots. The question was worded something like the following; Given a 5 by...
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14 years
Hartogs number and the three power sets
One of the most important constructions in ZF+$\lnot$AC is Hartogs number, defined as:
$$\aleph(X)=\min\lbrace\alpha:|\alpha|\nleq|X|\rbrace$$
We can prove that this ordinal always exists in the following way: -
0 days
How much can we do better in sphere packing by decreasing sphere sizes?
One variant of the traditional sphere packing problem in $\mathbb R^3$ asks what the density $\rho_r$ of spheres of equal radii $r$ one can fit in a unit cube without exceeding the boundary asymptotically as $r$ goes to 0. It is known that a packing...
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0 days
Do Robinson's non-standard numbers undermine Godel's argument
Godel's incompleteness argument depends on modelling mathematical proof inside the system under consideration. The intuition is that the statements in an argument can be indexed by natural numbers and the characters in a statement can also be indexed...
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| Updated: | May 11, 2026 |
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| Created: | July 14, 2009 |
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