Christian Blatter
Reputation
79,558
983/1000 score
 4h answered Total no. of Transitive Relation on $A = \{a,b,c\}$ 22h answered $a^2 = 2b^3 = 3c^5$ Find the smallest value of $abc$. 22h answered Where could (do?) we go after exhausting greek letters? 1d answered What is the geometrical difference between continuity and uniform continuity? 1d revised Expected area of triangle formed by three random points inside unit circle added 4 characters in body 2d comment A fun problem by Arnold using the Poincaré recurrence theorem @justhalf: To the contrary: SBareS answer is a confirmation of mine and gives additional details. 2d comment Expected area of triangle formed by three random points inside unit circle @Jack D'Aurizio: I guess in the handling of the conditional expectations. 2d answered A fun problem by Arnold using the Poincaré recurrence theorem 2d comment Expected area of triangle formed by three random points inside unit circle I think this is wrong by a margin of $0.02$; see my answer below. 2d answered Expected area of triangle formed by three random points inside unit circle 2d awarded Good Answer Apr20 comment A trigonometric proof of an inequality Above all, it comes from the chain rule! Apr20 comment How do I compute the density of R? @Hernant Rupani: I had overseen that the OP had already used $X$ for the cut point. I therefore have replaced my $X$ by $S$, which has density $2$, as stated. Hope it's clear now. Apr20 revised How do I compute the density of R? edited body Apr20 revised Is it possible to solve the Zebra Puzzle/Einstein's Riddle using pure math? edited body Apr20 answered A trigonometric proof of an inequality Apr20 answered $f(x)$ is Riemann integrable $\Rightarrow$ $\frac{1}{1 + f^2(x)}$ is Riemann integrable Apr20 revised Power set equinumerosity. Is this proof correct? added 331 characters in body Apr19 answered Geometry with complex numbers. Apr19 comment Geometry with complex numbers. I think that your end result is correct, but I don't see why these angles should add up to $180^\circ$. It's the opposite angles in a circular quadrilateral that add up to $180^\circ$.