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Results tagged with ho.history-overview
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user 156492
History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
2
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0
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198
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History of bump functions
When were the standard bump function examples such as $e^{-1/(1-x^2)}$ first understood, and what was the context or motivation at the time?
As an upper bound I would guess that they must have been un …
- 2,247
4
votes
0
answers
812
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History of Laplacian comparison theorem
The Laplacian comparison theorem says that if a $n$-dimensional Riemannian manifold has nonnegative Ricci curvature, then the distance function to any point satisfies $\Delta d\leq\frac{n-1}{d}$. Ther …
- 2,247
22
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Shing-Tung Yau's doubts about Perelman's proof
The question is, unavoidably, somewhat ambiguous. Here are seven points, hopefully rather objective:
There are well-known expositions of Perelman's work by Cao & Zhu, Kleiner & Lott, and Morgan & Tia …