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 Yearling
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Jun
19
revised Formula for $\sum\limits_{j=1}^{m-1}\frac{1}{\sin^{2p}(\frac{j\pi}{m})}$
deleted 374 characters in body; edited title
Jun
19
awarded  Yearling
Jun
19
revised Formula for $\sum\limits_{j=1}^{m-1}\frac{1}{\sin^{2p}(\frac{j\pi}{m})}$
added 394 characters in body
Jun
19
comment Formula for $\sum\limits_{j=1}^{m-1}\frac{1}{\sin^{2p}(\frac{j\pi}{m})}$
@nospoon: actually the equality which I asked for is used in my book to prove the equality you wrote down. By the way, I'm interested in equations of the type $\sum\limits_{j=1}^{m-1}\frac{1}{sin^(2p)(\frac{j\pi}{m})}=(...)$ for any $p\in\mathbb{N}$ are there formulas known for that?
Jun
19
comment Formula for $\sum\limits_{j=1}^{m-1}\frac{1}{\sin^{2p}(\frac{j\pi}{m})}$
@Gerry Myerson: I had this idea, but I could not prove it by this idea. But I will try it again, maybe I had a mistake in my calculations.
Jun
19
asked Formula for $\sum\limits_{j=1}^{m-1}\frac{1}{\sin^{2p}(\frac{j\pi}{m})}$
Jun
18
comment Inequality with natural logarithm
Thank you very much! Very elegant. :)
Jun
18
accepted Inequality with natural logarithm
Jun
18
comment Inequality with natural logarithm
Thank you very much iadvd! :-)
Jun
18
comment Inequality with natural logarithm
@iadvd: Yes, this is of course equivalent. But I do not see, why this is easier?
Jun
18
comment Inequality with natural logarithm
Yes I tried this as well. For instance I tried to show $\frac{d}{dn}f_t(n)>0$, but this was not easy and I failed
Jun
18
asked Inequality with natural logarithm
May
21
awarded  Disciplined
May
14
accepted Asymptotics of $(\cosh(x+c)-\cosh(c))^{-\frac{1}{2}}$
May
14
comment Asymptotics of $(\cosh(x+c)-\cosh(c))^{-\frac{1}{2}}$
Thank you for your help! I have some further questions. Can you explain to me how you get $\sqrt{sinh(c)x+O(x^2)}=\sqrt{sinh(c)x}+ O(x^{3/2})$? I just could prove $O(x^{1/2})$ instead of $O(x^{3/2})$. Is there a typo in your answer or do I misunderstand something?
May
14
asked Asymptotics of $(\cosh(x+c)-\cosh(c))^{-\frac{1}{2}}$
May
10
comment Midpoint of a line segment with a marked straight edge
Thank you very much! You helped me to really understand!
May
10
accepted Midpoint of a line segment with a marked straight edge
May
10
asked Midpoint of a line segment with a marked straight edge
Apr
28
accepted How fast does this function converge to zero?