Timeline for Measures of the complexity of a metric
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Jul 19, 2010 at 21:06 | comment | added | Robin Saunders | Well, that depends on what intuitive notion of "complexity" you're using. Under the surface-area definition, for example, a highly eccentric ellipsoid will look the same as a sphere with very shallow but convoluted wrinkles, since you're not taking variation in "diameter" into account. | |
| Jul 19, 2010 at 20:46 | comment | added | Joseph O'Rourke | @Robin: Yes, this is one of the "ad hoc" measures I thought of. My concern is that two surfaces that differ in intuitive "complexity" might have the same normalized area. Which raises another question: What do all those surfaces with a given normalized area look like? | |
| Jul 19, 2010 at 20:23 | history | undeleted | Robin Saunders | ||
| Jul 19, 2010 at 20:23 | history | deleted | Robin Saunders | ||
| Jul 19, 2010 at 20:22 | history | answered | Robin Saunders | CC BY-SA 2.5 |