Talk:Convex curve/GA1
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Reviewer: Kusma (talk · contribs) 10:52, 8 January 2023 (UTC)
Will take this one. Review to follow within a few days. —Kusma (talk) 10:52, 8 January 2023 (UTC)
General comments and ticks
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Overall well sourced and referenced and nicely illustrated with free images. Appears stable and neutral. Detailed comments to follow below. —Kusma (talk) 11:08, 10 January 2023 (UTC)
Section by section review
Will do lead section last.
- Definitions: Is there any disagreement on Archimedes and convexity so you need to mention Fenchel instead of stating this is Archimedes in wikivoice?
- Probably not something for you to do, but noting here anyway: Unfortunately plane curve muddies the waters by mixing the topological definition with that of an algebraic curve (the solution set of xy=1 is a plane algebraic curve that is not a topological curve).
- I don't fully understand your definition of "regular". Do you have a derivative-free definition in mind when you say
regular, meaning that the moving point never slows to a halt or reverses direction
? You later haveregular and has a derivative everywhere
, but regular curve is only talking about differentiable curves. - Latecki is a slightly surprising choice for the "boundary of convex set is a convex curve" claim, especially as the chapter starts with "digital concepts". But the citation checks out (p. 42)
- Intersection with lines: If you are bored, the characterisation of the intersection types could be nicely illustrated by an image. The "certain other linear spaces" bit is a bit mysterious without some example.
- The link "locally equivalent" to local property is likely unhelpful to many readers, so the concept could be explained here a bit.