Talk:Sturmian word: Difference between revisions
Content added Content deleted
(replied to inverse query) |
|||
| (15 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
: inverse of Sturmian(m, n) where m > n? |
|||
== Clarify task == |
|||
:: Is the Sturmian word for (3, 2) just the Sturmian word for (2, 3), or is it the inverse of the Sturmian word for (2, 3)? In other words, the task says "If x > 1, then it is the inverse of the Sturmian word for 1 / x. |
|||
None of the submissions have an a or b in their code, or deal in any way with quadratic real numbers. |
|||
The referenced continued fraction convergents task needs clarification, or you could use the a' search.<br> |
|||
:: What does it man to say "inverse" in the quote above? For example, what is the inverse of a word such as '010010100100101'? |
|||
Technically this task itself (probably) does not actually need any clarification, but we should probably try and halt the rot of further replication of the duff entries we already have. [[User:Petelomax|Petelomax]] ([[User talk:Petelomax|talk]]) 16:14, 1 February 2024 (UTC) |
|||
:::I think it is just swapping 0s and 1s, so 101101011011010. I'm certanly no expert but if I look at the diagram shown, and imagine swapping/rotating the x and y axis, that sounds about right. Obviously that line is just a plot of x = y*0.618, and the inverse is simply a plot of x = y/0.618, but I could be quite wrong. It seems the op has high-tailed it. --[[User:Petelomax|Petelomax]] ([[User talk:Petelomax|talk]]) 15:04, 8 February 2024 (UTC) |
|||
Latest revision as of 15:05, 8 February 2024
- inverse of Sturmian(m, n) where m > n?
- Is the Sturmian word for (3, 2) just the Sturmian word for (2, 3), or is it the inverse of the Sturmian word for (2, 3)? In other words, the task says "If x > 1, then it is the inverse of the Sturmian word for 1 / x.
- What does it man to say "inverse" in the quote above? For example, what is the inverse of a word such as '010010100100101'?
- I think it is just swapping 0s and 1s, so 101101011011010. I'm certanly no expert but if I look at the diagram shown, and imagine swapping/rotating the x and y axis, that sounds about right. Obviously that line is just a plot of x = y*0.618, and the inverse is simply a plot of x = y/0.618, but I could be quite wrong. It seems the op has high-tailed it. --Petelomax (talk) 15:04, 8 February 2024 (UTC)