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 Apr 14 comment You can always delete a vertex from a tree $G$ such that the remaining connected components have size at most $|V(G)|/2$. one hunch is try to a proof by induction, possibly deleting a leaf, but not sure if it will help. Apr 14 answered Biased coin toss problem - Understanding a problem correctly Apr 14 answered Eliminating Sine Apr 14 comment What is the domain and range of the sum of two random variables? @Did perhaps i see the difference -- you want to define $S(\omega) = X_1(\omega) + X_2(\omega)$ where all variables map from $\Omega^n$, but each $X_i$ only uses the $i$th coordinate. Why would this make impossible every simple operation? We just defined addition, you can define integration and scalar multiple and everything else analogously -- why does this cause a problem? Please understand, I am not arguing, just asking for clarification for my own education. Thanks Apr 14 comment What is the domain and range of the sum of two random variables? @Did i honestly don't understand how you can do it any other way -- the construction in the accepted answer uses product spaces as well, which is what i did here, and so do Artem Mavrin's remarks, and your comment seems to indicate that you agree. I fail to see the difference between that construction and the one in my answer. Apr 13 comment How to evaluate the integral $\int_0^5 3x^2 dx$? @AkivaWeinberger i did fix it, but in this setting, everyone will end up with the same one so the was not exactly misplaced Apr 13 revised How to evaluate the integral $\int_0^5 3x^2 dx$? deleted 1 character in body Apr 13 answered How to evaluate the integral $\int_0^5 3x^2 dx$? Apr 13 revised How to evaluate the integral $\int_0^5 3x^2 dx$? added 6 characters in body Apr 13 comment solve $\sin 2x + \sin x = 0$ using addition formula @N.F.Taussig fixed Apr 13 revised solve $\sin 2x + \sin x = 0$ using addition formula added 1 character in body Apr 12 comment orthonormal columns and linear independent vectors Gram-Schmidt orthogonalization? Apr 12 revised Cubic Spline for a function edited tags Apr 12 answered solve $\sin 2x + \sin x = 0$ using addition formula Apr 12 revised evaluate the numbers from the coefficient edited tags Apr 12 revised Brownian hitting time of a closed set added 4 characters in body Apr 12 comment What is the domain and range of the sum of two random variables? @user1770201 no contradiction, his last paragraph states in 5 lines what i wrote in 1 Apr 12 comment Finding the bound of a linear functional defined on $C[-1,1]$ oknp :) you can click edit and see how i did it so yours will look pretty next time. \left and \right constructs are floating in size and quite useful for such cases Apr 12 revised Finding the bound of a linear functional defined on $C[-1,1]$ added 41 characters in body Apr 12 answered Linear span of subspaces