bio | website | tx.technion.ac.il/~felixg/… |
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location | ||
age | 31 | |
visits | member for | 3 years, 5 months |
seen | Aug 22 at 22:44 | |
stats | profile views | 3,338 |
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
25 |
comment |
When does a d.r.v. take a value very close to the mean?
@Suvrit Yes, sort of. These are the volumes of all $n \times k$ submatrices of a fixed $n \times m$ matrix. |
Feb
25 |
asked | When does a d.r.v. take a value very close to the mean? |
Feb
4 |
awarded | Notable Question |
Feb
3 |
comment |
Rank changes with matrix edits
@Turbo Yes, I think it does. |