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Results tagged with big-list
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user 12978
Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.
49
votes
The most outrageous (or ridiculous) conjectures in mathematics
From this Math Overflow question, Joel David Hamkins wrote:
I once heard Harvey Friedman suggest that the set of prime-differences, that is, the set of all natural numbers $n$ for which there are …
5
votes
Statistical distance between discrete and continuous distributions
TL;DR Look for metrics which metricize weak convergence.
After the comments above, I think I can answer your question to a reasonable degree. I am not a practicing statistian, so I can't comment t …
- 6,287
50
votes
Two (probably) equal real numbers which are not proved to be equal?
Thomson’s problem for $n = 7$ provides a nice example:
$$\min_{x_1, \ldots, x_7 \in \mathbb{S}^2} \sum_{i=1}^7 \sum_{j = i + 1}^7 \frac{1}{|x_i - x_j|} = \frac{1}{2} + 10 \frac{1}{\sqrt{2}} + 5\sqrt{ …
3
votes
Symmetries of the standard probability space
I can't explain the group theoretic structure of $\Gamma$, but I can explain the topological structure. (Warning, this post is mostly a continuous stream of thoughts. I hope it is well organized and …
92
votes
11
answers
14k
views
What are possible applications of deep learning to research mathematics?
With no doubt everyone here has heard of deep learning, even if they don't know what it is or what it is good for. I myself am a former mathematician turned data scientist who is quite interested in …