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seen Nov 3 at 13:44

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
comment When $\gcd{(ug, vg)}=g$, we have $\gcd{(ug, vg+1)}=1$?
Yes. You are right. Thank you very much.
Jan
7
comment When $\gcd{(ug, vg)}=g$, we have $\gcd{(ug, vg+1)}=1$?
Thanks for your answer. But $g$ must be even.
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 $\sin(\pi x)=|\sin(\pi ax)|$?