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November 8th, 2016, 07:17 AM  #1 
Newbie Joined: Dec 2014 From: Italy Posts: 5 Thanks: 0  Why is this relation with Hausdorff measure true?
I have found this formula: $$\mathcal{H}^{nm}(\{\lambda u \;0<\lambda\leq\rho, u\in \mathbb{S}^{n1} \})=\frac{\rho^{nm}}{nm} \int_{\mathbb{S}^n} d\mathcal{H}^{nm1}(u),$$ I think that this is a consequence of Fubini theorem, but I don't understand where the term $\frac{\rho^{nm}}{nm}$ come from. I'm a bit confused. Can someone help me? Thank you! 

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hausdorf, hausdorff, measure, relation, true 
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