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elementary_volume_of_ℝⁿ [2013/09/07 19:39]
nikolaj
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: $\mathrm{vol}(]a,​b]):​=\prod_{i=1}^p (b_i-a_i)$ | 
- 
-==== Discussion ==== 
-This is also called the Lebesgue pre-measure 
-==== Parents ==== 
-=== Requirements === 
-[[Half-open subsets of ℝⁿ]], [[Finite product of complex numbers]] 
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