Taekyo Lee
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 Jul 2 awarded Curious Jan 10 comment When $\gcd{(N, r-s)}=\gcd{(N, r^{-1}-s^{-1})}=g$, relation between $(r-s)/g$ and $(r^{-1}-s^{-1})/g$ When $N$ is even, does that hold? (In this case, both $r-s$ and $r^{-1}-s^{-1}$ is even...) Jan 10 asked When $\gcd{(N, r-s)}=\gcd{(N, r^{-1}-s^{-1})}=g$, relation between $(r-s)/g$ and $(r^{-1}-s^{-1})/g$ Jan 7 revised When $\gcd{(ug, vg)}=g$, we have $\gcd{(ug, vg+1)}=1$? added 4 characters in body Jan 7 asked When $\gcd{(ug, vg)}=g$, we have $\gcd{(ug, vg+1)}=1$? Jan 3 asked Jacobi symbol $\left(\frac{(n+1)/2}{n}\right)$ Dec 20 asked Proof of $\frac{1}{\sin{(\frac{\pi}{2x})}}<\frac{2x}{\pi}+1$ Dec 1 revised when $\gcd{(a, tm)}=1$, we have $\gcd{(a+btm, tm^2)}=1$? edited title Dec 1 asked when $\gcd{(a, tm)}=1$, we have $\gcd{(a+btm, tm^2)}=1$? Nov 27 comment “concave-down function” times “concave-down function” is also concave-down? Thanks for your answers. I added the constraint that both functions are positive on the interval. Nov 27 revised “concave-down function” times “concave-down function” is also concave-down? added 24 characters in body Nov 27 comment “concave-down function” times “concave-down function” is also concave-down? I am sorry, I forgot to mention that both $f(x)$ and $g(x)$ are positive on $[0, A]$ like the examples I took. Thanks for your answer, anyway. Considering the constraint, is $h(x)$ is concave-down? Nov 27 asked “concave-down function” times “concave-down function” is also concave-down? Nov 14 asked maximum of $f(x)=\sin{(\pi Ax)}\left(\,\csc{(\pi x)}+\csc{(\pi (\frac{1}{A}-x))}\,\right)$ Nov 13 revised Prove that $\sin{(\pi 2x)}\left(\,\csc{(\pi x)}+\csc{(\pi (0.5-x))}\,\right)$ is an increasing function added 10 characters in body Nov 13 asked Prove that $\sin{(\pi 2x)}\left(\,\csc{(\pi x)}+\csc{(\pi (0.5-x))}\,\right)$ is an increasing function Oct 21 asked maximize $\csc{(\pi b)}\sin{(\pi ab)}+\csc{(\pi (\frac{1}{a}-b))}\sin{(\pi a(\frac{1}{a}-b))}$ Oct 17 asked Equation $\sin(\pi x)=|\sin(\pi ax)|$? Sep 27 revised Proof of $X+\csc{\left(\frac{\pi}{X}\right)}>2\csc{\left(\frac{\pi}{2X}\right)}$ edited tags Sep 27 revised Proof of $X+\csc{\left(\frac{\pi}{X}\right)}>2\csc{\left(\frac{\pi}{2X}\right)}$ added 49 characters in body