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Apr
17
comment Closed form for the area of a convex cyclic n-gon, given the set of edge lengths
@MarianoSuárez-Alvarez I'm afraid I don't see how that improves the usefulness of this answer.
Apr
16
comment Closed form for the area of a convex cyclic n-gon, given the set of edge lengths
A summary of the results would probably make this a more useful answer. Especially if the link to that paper ever goes down since you didn't even mention its title.
Apr
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Mar
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Mar
16
comment Visually stunning math concepts which are easy to explain
@NateGlenn It's really just a visualisation of long multiplication. (Try writing out the long multiplication of $13 \cdot 12$ and see how it corresponds to the diagram.)
Mar
12
awarded  Stellar Question
Mar
9
revised Has this chaotic map been studied?
added 457 characters in body; edited tags
Mar
9
comment Has this chaotic map been studied?
@MarkMcClure I managed to find a copy in the library (although it's section 1.7 in my edition ;)). Section 1.8 also seems relevant ($R(z) = 2z - 1/z$, and I was thinking that $az - b/z$ would be the natural generalisation of my maap), but they're both pretty short. This looks interesting though, I'll try to read a bit more of the book. Unfortunately, while this is starting point, I don't think it helps me in finding any further analysis of the maps.
Mar
9
awarded  Nice Question
Mar
9
comment Has this chaotic map been studied?
@MarkMcClure Thanks, I'll try to see if I can get my hands on a copy of that. I actually did notice the swapped roles of the imaginary and real axes between $z - 1/z$ and $z + 1/z$ but somehow I didn't grant that much significance.
Mar
9
revised Has this chaotic map been studied?
added 10 characters in body
Mar
9
revised Has this chaotic map been studied?
added 50 characters in body
Mar
9
comment Has this chaotic map been studied?
@Ritz You are aware that this is my own question you linked? ;)
Mar
9
comment Has this chaotic map been studied?
@abiessu My specific question is really "has this been studied/does this have a name/are there well-known properties I could find somewhere?" While I do have several open questions I'd like to answer about the map, this question isn't about getting help with the actual analysis, although I might post a separate one in the future if I keep investigating this myself. (I hope questions like this one are on-topic here.)
Mar
9
asked Has this chaotic map been studied?
Mar
8
awarded  Cleanup
Mar
8
revised Why is $1 - \frac{1}{1 - \frac{1}{1 - \ldots}}$ not real?
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Mar
8
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Mar
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Mar
7
awarded  Famous Question