# Differences

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elementary_volume_of_ℝⁿ [2013/09/06 22:04] 127.0.0.1 external edit |
elementary_volume_of_ℝⁿ [2014/03/21 11:11] |
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- | ===== Elementary volume of ℝⁿ ===== | ||

- | ==== Definition ==== | ||

- | | @#88DDEE: $p\in \mathbb N$ | | ||

- | | @#FFBB00: $\mathrm{vol}:\mathfrak J^p\to \mathrm R$ | | ||

- | | @#FFBB00: $\mathrm{vol}(]a,b]):=\prod_{i=1}^p (b_i-a_i)$ | | ||

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- | ==== Discussion ==== | ||

- | This is also called the Lebesgue pre-measure | ||

- | ==== Parents ==== | ||

- | === Requirements === | ||

- | [[Half-open subsets of ℝⁿ]], [[Finite series]] |