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Apr
15
awarded  Nice Answer
Apr
9
answered Deep Learning / Deep neural nets for mathematician
Mar
11
comment understanding the average height of a unit hyper-semisphere
On a high-dimensional sphere most of the mass is concentrated around the equator, where the height is lowest. That's a heuristic explanation for why the average height goes to zero.
Feb
22
reviewed Approve Is the Ford disk packing optimal?
Feb
2
comment What's the variance in the Six Degrees model?
This is one classic paper on the search problem: cs.cornell.edu/home/kleinber/swn.pdf ... and in general it's a good entry point into the literature.
Jan
1
revised Foliation with leaves which are and are not dense
better wording
Jan
1
revised Foliation with leaves which are and are not dense
fixed typo
Jan
1
answered Foliation with leaves which are and are not dense
Nov
23
awarded  Enlightened
Nov
23
awarded  Nice Answer
Nov
23
revised How large can you draw an island on a map?
added note about computability
Nov
22
answered How large can you draw an island on a map?
Oct
27
awarded  Yearling
Sep
27
comment what-if.xkcd.com: stabbing (simply connected) regions on the 2-sphere with few geodesics
In the case of the US, which fits in a hemisphere, it might simplify things slightly to use gnomonic projection to reduce to the analogous problem with lines and plane regions.
Jan
10
answered Is there a similar theorem in the partially hyperbolic case?
Nov
25
reviewed Reject Degeneration of riemannian metrics with curvature bounds
Nov
9
awarded  Custodian
Nov
3
awarded  Custodian
Nov
3
reviewed Approve Elementary Embeddings and Relative Constructibility
Oct
28
comment Dynamical properties of injective continuous functions on $\mathbb{R}^d$
Thanks! In light of your comment, I added your good point about a stronger downward component and made the wording overall a bit less tentative.