Activity for siric
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Comment | Post #287410 |
https://youtu.be/P3ifP2GpMAo (more) |
— | about 2 years ago |
| Comment | Post #287419 |
I think grid is the wrong word. I meant box or square. It’s a continuous distribution so the points can be anywhere in the square (no identical points). I am concerned about the probability distribution of lengths. So, if the points are randomly distributed an arbitrarily large number of times (say, ... (more) |
— | about 2 years ago |
| Edit | Post #287419 |
Post edited: |
— | about 2 years ago |
| Comment | Post #287419 |
I think my explanation was poor. The points do not have to be in a lattice grid; they can be arranged anywhere in the box - so there are infinite arrangements.
(more) |
— | about 2 years ago |
| Comment | Post #287410 |
Take $d = 1$, $n = 2$ and $a_1 = 500$. We get $500(501)(502)(503)(504)(505) + 1$ which is not a perfect square. (more) |
— | about 2 years ago |
| Edit | Post #287419 | Initial revision | — | about 2 years ago |
| Question | — |
What is the probability that the convex hull of $n$ randomly distributed points has $l$ of the points on its boundary? Consider a square in which $n$ points are uniformly randomly distributed. Now consider the convex hull of these points. The "length" of the convex hull is defined as the number of points in the perimeter of the convex hull i.e. $n \\; -$ the number of points strictly contained by the convex hull. ... (more) |
— | about 2 years ago |