Timeline for How many distinct sets of n collinear points are there in an evenly-spaced two-dimensional grid of m x m points?
Current License: CC BY-SA 3.0
18 events
| when toggle format | what | by | license | comment | |
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| Jun 4, 2016 at 4:51 | vote | accept | Ben Burns | ||
| Jun 1, 2016 at 3:54 | answer | added | Max Alekseyev | timeline score: 2 | |
| May 31, 2016 at 13:00 | comment | added | Ben Burns | If you look over the edit history I don't believe later versions contradict earlier versions. If they do, I apologize. Regarding the link to my previous question, I'm not sure how this applies? It's similar, but quite distinct. | |
| May 31, 2016 at 12:58 | comment | added | Gerry Myerson | Six edits in one hour. Hard to hit a moving target. | |
| May 31, 2016 at 12:58 | history | edited | Ben Burns | CC BY-SA 3.0 |
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| May 31, 2016 at 12:56 | comment | added | Gerry Myerson | Shouldn't you have linked to your other, very similar question, mathoverflow.net/questions/240098/… ? | |
| May 31, 2016 at 12:52 | comment | added | Ben Burns | You should count this, yes. I failed to consider this in my previous comment. | |
| May 31, 2016 at 12:52 | comment | added | Gerry Myerson | But for $f(3,4)$, you don't count $\{\,(0,0),(0,2),(0,3)\,\}$? | |
| May 31, 2016 at 12:49 | history | edited | Ben Burns | CC BY-SA 3.0 |
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| May 31, 2016 at 12:47 | comment | added | მამუკა ჯიბლაძე | Yes, "distinct" is less confusing, thank you. Although in fact strictly speaking no adjective is necessary I think. | |
| May 31, 2016 at 12:14 | history | edited | Ben Burns | CC BY-SA 3.0 |
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| May 31, 2016 at 12:07 | comment | added | Ben Burns | By "unique" I mean that ordering of the set doesn't matter. e.g. $\{ (0, 0), (0, 1) \}$ should be treated as equivalent to $\{ (0, 1), (0, 0) \}$ -- in retrospect, "distinct" would likely have been a better word choice. | |
| May 31, 2016 at 12:05 | history | edited | Ben Burns | CC BY-SA 3.0 |
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| May 31, 2016 at 12:01 | comment | added | Ben Burns | No. For example, for $f(3, 4)$, a line with zero slope which intersects $(0, 0)$ should count twice, as it would apply to the set $\{ (0, 0), (0, 1), (0, 2) \}$ as well as the set $\{ (0, 1), (0, 2), (0, 3) \}$ (assuming grid starts at $(0, 0)$ spanning into the positive quadrant, and each point is spaced 1 unit away from its neighbours). | |
| May 31, 2016 at 11:59 | history | edited | Ben Burns | CC BY-SA 3.0 |
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| May 31, 2016 at 11:58 | comment | added | მამუკა ჯიბლაძე | Do you mean by "unique" that intersection of the line with the grid contains exactly $n$ points? | |
| May 31, 2016 at 11:46 | history | edited | Ben Burns | CC BY-SA 3.0 |
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| May 31, 2016 at 11:41 | history | asked | Ben Burns | CC BY-SA 3.0 |