Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
lebesgue_measure [2013/09/04 18:15] nikolaj |
lebesgue_measure [2014/03/21 11:11] (current) |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| ===== Lebesgue measure ===== | ===== Lebesgue measure ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $p\in \mathbb N$ | | + | | @#55CCEE: context | @#55CCEE: $p\in \mathbb N$ | |
| - | | @#FFBB00: $\lambda^p\equiv\eta^p|_{\mathfrak{L}^p}$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\lambda^p\equiv\eta^p|_{\mathfrak{L}^p}$ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| - | $\lambda^p:\mathfrak{L}^p\to \overline{\mathbb{R}}$ is the restriction of [[Lebesgue outer measure]] to a domain which is actually measurable. | + | $\lambda^p:\mathfrak{L}^p\to \overline{\mathbb{R}}$ is the restriction of [[Lebesgue outer measure]] to a domain which contains only actually measurable sets. |
| - | ==== Context ==== | + | === Reference === |
| + | Wikipedia: [[http://en.wikipedia.org/wiki/Lebesgue_measure|Lebesgue measure]] | ||
| + | ==== Parents ==== | ||
| === Subset of === | === Subset of === | ||
| [[Measure]] | [[Measure]] | ||
| - | === Requirements === | + | === Context === |
| [[Lebesgue measurable subsets of ℝⁿ]], [[Restricted image]] | [[Lebesgue measurable subsets of ℝⁿ]], [[Restricted image]] | ||
