Timeline for Different Measures On R2
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 22, 2012 at 5:52 | vote | accept | Jason Mraz | ||
| Jul 12, 2012 at 21:13 | comment | added | Gerald Edgar | First: For a line segment of length $a$, the one-dimensional Hausdorff measure is $a$. Hausdorff measure is additive on Borel sets, so the measure for the 5-segment set is $5$. | |
| Jul 12, 2012 at 20:18 | comment | added | Jason Mraz | Thanks a lot ! The problem is that I can't understand the calculation of such thing: By definition : $H^1 ( \partial A) = lim _{\delta \to 0} inf \{ \sum C diam(U_i) | \partial A \subseteq \cup U_i , diam(U_i ) \leq \delta \} $ Can you please detail a bit about how you deduced that $H^1 (\partial A) = 5$ in this case? Thanks a lot @! | |
| Jul 12, 2012 at 19:21 | history | answered | Gerald Edgar | CC BY-SA 3.0 |