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 Apr 3 revised What is $\sum_{n=0}^{\infty}|a_nz^n|^2=\frac{1}{2 \pi}\int_{-\pi}^{\pi}|f(ze^{it})|^2dt$ for? corrected typo Mar 10 revised A beautiful inequality for convex functions reorganized Nov 14 revised Contour integration of $\int_{-\infty}^{\infty} \frac{1-b+x^2}{(1-b+x^2)^2 + 4bx^2}dx = \pi$ added 24 characters in body Nov 12 revised Show that some $C^\infty$ real function is analytic added 26 characters in body Nov 7 revised Uniform convergence in $\mathbb{R}^2$ added 3 characters in body Nov 7 revised Uniform convergence in $\mathbb{R}^2$ added remark Nov 6 revised For a closed plane curve, showing some inequalities. removed an incorrect remark and corrected a link Nov 1 revised prove $f(x)$ has at least $2n$ roots deleted 160 characters in body Oct 26 revised Computing a limit almost surely using the strong law of large numbers added 39 characters in body; edited title Oct 26 revised Limit of $x_n/n$ for sequences of the form $x_{n+1}=x_n+1/x_n^p$ added 76 characters in body Oct 25 revised Limit of $x_n/n$ for sequences of the form $x_{n+1}=x_n+1/x_n^p$ added 2340 characters in body Oct 23 revised Limit of $x_n/n$ for sequences of the form $x_{n+1}=x_n+1/x_n^p$ added 141 characters in body Oct 22 revised A Problem on Improper Integrals added 54 characters in body Oct 22 revised A Problem on Improper Integrals added 150 characters in body Oct 22 revised For a closed plane curve, showing some inequalities. added 1495 characters in body Oct 21 revised Computing a limit almost surely using the strong law of large numbers added 17 characters in body Oct 21 revised convergence of total variation measure added 512 characters in body Oct 20 revised Order of Double Coset deleted 175 characters in body Oct 17 revised Show that $\int_{1}^\infty \dotsb\int_{1}^\infty \frac{dx_1 \dotsb dx_n}{x_1^{\alpha_1}+\dotsb + x_n^{\alpha_n}}<\infty$ deleted 99 characters in body Oct 16 revised Inequality involving partial sums of $\frac{|\sin{kx}|}{k}$ deleted 224 characters in body