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Dec
9
asked Least-squares solution of systems of Sylvester equations
Jul
21
awarded  Popular Question
May
18
comment Intrinsic definition of arc length
Does your formula give the same value as the usual definition of arc length? How is the + to be interpreted? As a Minkowski sum? Thanks.
May
18
comment Intrinsic definition of arc length
@DavidRoberts I've considered this option, but I think there's a catch: to talk about line segments created by a set of points $S$ sampled from the curve, we would need to rely on a (sensible) ordering of the points in $S$ - which seems to throw us back to the need for a parametrization of sorts. Do you agree or am I missing something here?
May
18
comment Intrinsic definition of arc length
@LoïcTeyssier Indeed.
May
18
awarded  Popular Question
May
18
asked Intrinsic definition of arc length
May
15
awarded  Popular Question
Apr
23
comment power laws emerging from the sandpile model
Thanks, @YoavKallus, this is very interesting.
Apr
5
comment Does this inequality always hold?
So, what is the motivation/context for this conjecture?
Apr
1
comment How large can a set of nearly equidistant points be?
@BenoîtKloeckner I am more interested in $\epsilon>\frac{1}{n-1}$ and fixed.
Apr
1
revised How large can a set of nearly equidistant points be?
edited title
Apr
1
comment How large can a set of nearly equidistant points be?
@BillJohnson JL says that if I have such a set in a higher dimension $n \approx e^{k}$ , then I can embed it into $\mathbb{R}^{k}$ while (almost) preserving the distance property. But I don't see how it guarantees the existence of such a set to begin with. Am I missing something here? P.S. JL does not assume anything on the relation of the pairwise distances to each other, while in this case I need to. P.P.S. The question actually originates in an attempt to understand a result related to JL. :)
Apr
1
asked How large can a set of nearly equidistant points be?
Mar
28
comment What are the external triumphs of matroid theory?
Can you share it now...?
Mar
16
asked power laws emerging from the sandpile model
Mar
10
awarded  Yearling
Feb
4
awarded  Notable Question
Feb
3
comment Rank changes with matrix edits
@Turbo Yes, I think it does.
Feb
3
comment Rank changes with matrix edits
@Turbo In that case, things are open again.... :( If you want to discuss the specific case, feel free to email me.