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 elementary_volume_of_ℝⁿ [2013/09/07 19:39]nikolaj elementary_volume_of_ℝⁿ [2014/03/21 11:11] Line 1: Line 1: - ===== Elementary volume of ℝⁿ ===== - ==== Definition ==== - | @#88DDEE: $p\in \mathbb N$ | - | @#FFBB00: $\mathrm{vol}:​\mathfrak J^p\to \mathrm R$ | - | @#FFBB00: $\mathrm{vol}(]a,​b]):​=\prod_{i=1}^p (b_i-a_i)$ | - - ==== Discussion ==== - This is also called the Lebesgue pre-measure - ==== Parents ==== - === Requirements === - [[Half-open subsets of ℝⁿ]], [[Finite product of complex numbers]]