Timeline for Covering a circle with small balls centered at nodes on a tiling
Current License: CC BY-SA 3.0
16 events
| when toggle format | what | by | license | comment | |
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| Sep 29, 2017 at 13:11 | comment | added | Nathan Reading | @Syuizen: I'm sure you would be happier with answers than terminology suggestions, but this question came back into my mind and it occurred to me that "grid" might be the word you're looking for. Since you put no condition on the $A_i$ (such as requiring them to be arithmetic progressions), you might call it an "uneven grid." | |
| Sep 25, 2017 at 19:27 | answer | added | Aaron Meyerowitz | timeline score: 1 | |
| Sep 25, 2017 at 18:52 | comment | added | Nathan Reading | @Syuizen: No problem. Just wanted to make sure I understood the question. | |
| Sep 25, 2017 at 17:47 | comment | added | Brian | @NathanReading I have edited my statement and provided an example. Because I am a student in engineering, I am not familiar with the name of objects used in mathematics. Sorry for any confusion caused. | |
| Sep 25, 2017 at 17:43 | history | edited | Brian | CC BY-SA 3.0 |
added 201 characters in body
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| Sep 25, 2017 at 17:24 | comment | added | Nathan Reading | Sorry, perhaps I'm being dense, but I'm having trouble seeing how you've defined a tiling. Maybe it's a definition problem. For me a tiling of $\mathbb{R}^n$ is a collection of sets whose union is $\mathbb{R}^n$ and whose interiors are all disjoint. You've defined $T$ to be a set of points in $\mathbb{R}^n$. (Depending on the quantification "$\forall i$" or "$\exists i$", this may even be a finite set.) So what does the word "tiling" mean to you in this problem? (Sorry, I tried looking on the internet for an alternate definition, but there are too many hits involving ceramic tiles!) | |
| Sep 25, 2017 at 16:11 | comment | added | Lwins | It is just my intuition. Seemingly we could get a satisfactory result by method of adjustment. More boldly I guess that $A_1 = \cdots = A_n$ and each of them includes an arithmetic progression. | |
| S Sep 25, 2017 at 16:10 | history | suggested | Lwins | CC BY-SA 3.0 |
redo, since I have mistaken the meaning of OP.
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| Sep 25, 2017 at 16:07 | review | Suggested edits | |||
| S Sep 25, 2017 at 16:10 | |||||
| S Sep 25, 2017 at 16:03 | history | suggested | Lwins | CC BY-SA 3.0 |
correct the typo
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| Sep 25, 2017 at 16:02 | review | Suggested edits | |||
| S Sep 25, 2017 at 16:03 | |||||
| Sep 25, 2017 at 15:56 | comment | added | Brian | Lwins, thanks for pointing out my typo. $A_i$ should belong to $\mathbb{R}$ | |
| Sep 25, 2017 at 15:55 | history | edited | Brian | CC BY-SA 3.0 |
deleted 2 characters in body
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| Sep 25, 2017 at 15:54 | comment | added | Lwins | I'm sorry but how could it be where $x_i \in A_i \subseteq \mathbb{R}^n$ and $x \in \mathbb{R}^n$ both hold? | |
| Sep 25, 2017 at 15:43 | review | First posts | |||
| Sep 25, 2017 at 15:53 | |||||
| Sep 25, 2017 at 15:43 | history | asked | Brian | CC BY-SA 3.0 |