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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)
Good Article review progress box
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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)
Will do lead section last.
regular, meaning that the moving point never slows to a halt or reverses direction? You later have
regular and has a derivative everywhere, but regular curve is only talking about differentiable curves.
cannot be improved: the source just says the bound is a "nearly best possible result" without making precise what that means. Is the exponent 1/3 the best possible? Is there an optimal constant? Or is this just about the leading term? Also, mention that this is the large-L asymptotics?
Every curve has at most two supporting lines in each direction.can you clarify that we are looking at supporting lines of fixed direction, but at different points here? (The statement is "for every direction, there are at most two points such that there is a supporting line at that point in that direction", not "at every point there are at most two supporting lines")
For strictly convex curves, although the curvature does not change sign, it may reach zero.perhaps add that simple closed curves with strictly positive / negative curvature are strictly convex?
Lead:
Combinations of these properties have also been considered.could perhaps be dropped.
A nice article about a basic topic, not much to complain about. More "advanced properties" like the A-A theorem or some "applications" would be nice, but not necessary for GA. Ping @ David Eppstein: — Kusma ( talk) 14:12, 10 January 2023 (UTC)
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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)
Good Article review progress box
|
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)
Will do lead section last.
regular, meaning that the moving point never slows to a halt or reverses direction? You later have
regular and has a derivative everywhere, but regular curve is only talking about differentiable curves.
cannot be improved: the source just says the bound is a "nearly best possible result" without making precise what that means. Is the exponent 1/3 the best possible? Is there an optimal constant? Or is this just about the leading term? Also, mention that this is the large-L asymptotics?
Every curve has at most two supporting lines in each direction.can you clarify that we are looking at supporting lines of fixed direction, but at different points here? (The statement is "for every direction, there are at most two points such that there is a supporting line at that point in that direction", not "at every point there are at most two supporting lines")
For strictly convex curves, although the curvature does not change sign, it may reach zero.perhaps add that simple closed curves with strictly positive / negative curvature are strictly convex?
Lead:
Combinations of these properties have also been considered.could perhaps be dropped.
A nice article about a basic topic, not much to complain about. More "advanced properties" like the A-A theorem or some "applications" would be nice, but not necessary for GA. Ping @ David Eppstein: — Kusma ( talk) 14:12, 10 January 2023 (UTC)