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Results tagged with gm.general-mathematics
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Questions about mathematics which don't fall into the other arXiv categories. If you have a general question about mathematics but it is not research level, it's off-topic but it might be welcomed on Mathematics Stack Exchange.
4
votes
Examples of back of envelope calculations leading to good intuition?
Scaling arguments are extremely useful in analysis, PDEs, and geometric analysis. One simple example is the Gagliardo-Nirenberg inequalities, which are of the form
$$ \left(\int_{\mathbb{R}^n} |f|^a\, …
2
votes
Famous conjectures named after a mathematician that were resolved in their lifetimes
Thurston was still alive, when Perelman solved the Thurston conjecture.
54
votes
Are there proofs that you feel you did not "understand" for a long time?
I hate to sound dumb, but I still don't really understand the Pythagorean theorem as well as I like. I've seen lots of proofs but they all feel too clever for me. To me, understanding a theorem or its …
11
votes
Center of mass from the abstract point of view, or could the ancient Greeks invent modern an...
If I'm not mistaken (but I often am), the physicists already have a rather simple way of defining the center of mass. But I don't think you can do it with just sets. You have to associate a mass with …
- 27.5k
20
votes
Dimensional Analysis in Mathematics
I consider dimensional analysis to be an extremely useful and powerful tool in pure mathematics. A lot of mathematics, especially PDE's and differential geometry, comes from or is closely related to t …
- 27.5k
26
votes
What would you want to see at the Museum of Mathematics?
First, I don't like using the term "Museum", which has too many undesirable implications for me. I have to say I like the word "Factory".
Second, it seems to me that most exhibits give only an impres …