Timeline for Characterize a continental divide
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 5, 2011 at 12:14 | vote | accept | Aaron Meyerowitz | ||
| Dec 10, 2010 at 2:31 | comment | added | Michael Hardy | ....and the Red River of the North. | |
| Dec 10, 2010 at 2:30 | comment | added | Michael Hardy | The proposed "common description" seems to neglect the existence of the Mississippi, the Ohio, the Missouri, etc. | |
| Dec 10, 2010 at 0:50 | answer | added | Joseph O'Rourke | timeline score: 2 | |
| Dec 9, 2010 at 9:03 | comment | added | Bruce Westbury | Fedja: Your last sentence sounds like a challenge. You are assuming that the height function is smooth with finitely many non-degenerate critical points. What about a fractal mountain range? | |
| Dec 9, 2010 at 8:14 | comment | added | Gerry Myerson | He also discusses it on his blog, bit-player.org/2009/long-division and bit-player.org/2009/distant-shores | |
| Dec 9, 2010 at 6:21 | comment | added | Aaron Meyerowitz | No, but I actually own the book so I will, in the bedroom. | |
| Dec 9, 2010 at 6:13 | comment | added | Thierry Zell | Did you read the chapter on continental divide in Brian Hayes' Group Theory in the Bedroom? | |
| Dec 9, 2010 at 5:52 | comment | added | fedja | The boundary of each basin consists of several gradient accents from saddle points to local maxima. In the normal case (finitely many non-degenerate critical points) all you need is to find all saddles and solve the gradient transport equation starting nearby (you'll have two accents from each saddle). You'll get a planar graph that separates the plane into the basins of attraction of local minima. There isn't really much more to say here. | |
| Dec 9, 2010 at 5:22 | history | asked | Aaron Meyerowitz | CC BY-SA 2.5 |