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 Apr 27 comment Example of oscillatory sequence with sum alternating between $\pm \infty$ @Merkh: Your first interpretation. Jun 11 comment Example of periodic $f\left(x\right)+xg\left(x\right)$, where f is even function and g is periodic $f(x)=cos(x)$ and $g(x)=sin(x)/x$. May 30 comment Which of two quantities is greater? Thanks @Michael. For the comparison of these functions, (say $f$ and $g$), I can simply show $f(0)=g(0)$, the slope of $g$ is more negative than that of $f$ and that $g$ is decreasing throughout $(0,1)$. Is that right or is there a more compact way of doing this? May 30 comment Which of two quantities is greater? Hi. I have a follow-up question: I need to show $(x-y)^{((x-y)/(2x-y))}\times (x+y)^{((x)/(2x-y))}>x$. I am not sure how the AM-GM inequality leads to this, as the GM is on the LHS? May 21 comment Computing expectation of a function of two random variables @zoli: Yes, there are $N-1$ independent draws and the $N^{th}$ is dependent on the previous draws. Your understanding is right. May 21 comment Computing expectation of a function of two random variables @zoli: Why not? I never said within array $X$, the draws are independent. $x_n(\omega)=S_x-\sum_{i=1}^{N-1}x_i$ for all $\omega$. May 21 comment Computing expectation of a function of two random variables @zoli: One number in the array. Distribution with finite support on the real line. Apr 7 comment Bounding $x^\top Ay/x^\top y$ @Tryss: By assumption, they are not orthogonal. Clarified. Apr 2 comment Is the optimum of this problem unique? Thanks Hans. I guess a sufficient condition for interior solution will be: \$\sum_j b_j \log(a_j/b_j)-(\sum_j b_j)\log(a_i/b_i)