# Differences

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 lebesgue_measure [2013/09/04 18:16]nikolaj lebesgue_measure [2014/03/21 11:11] (current) Both sides previous revision Previous revision 2013/09/05 00:28 nikolaj 2013/09/04 18:16 nikolaj 2013/09/04 18:15 nikolaj 2013/09/04 18:15 nikolaj created Next revision Previous revision 2013/09/05 00:28 nikolaj 2013/09/04 18:16 nikolaj 2013/09/04 18:15 nikolaj 2013/09/04 18:15 nikolaj created 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 contains only actually measurable sets. $\lambda^p:​\mathfrak{L}^p\to \overline{\mathbb{R}}$ 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]] 