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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