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Jun 25, 2015 at 14:57 vote accept student
Jun 24, 2015 at 22:39 comment added Fedor Petrov Sum of projections is integral of multiplicity function, it is a case of Fubini theorem: $\sum \int f_i=\int \sum f_i$, where $f_i$'s are characteristic functions of projections.
Jun 24, 2015 at 21:13 comment added student Could you explain why the fact that the projection of triangle is covered infinitely many times implies the total sum of projections is infinite?
Jun 24, 2015 at 21:12 comment added student I checked my proof,and found a mistake. I used a result here link.springer.com/article/10.1007/BF01263495, but I messed up with the direction of inequalities. Just one thing I'm not quite sure about, is the sentence "This means that total sum of projections is infinite".
Jun 24, 2015 at 8:54 history answered Fedor Petrov CC BY-SA 3.0