Recent content by svensl

Thanks for the reply. Delta is a number between (0, 1(. BTW, K will later be taken to infinity if that makes a difference.

Hello, Can anyone give some hints on how to solve this: \sum_{n=0}^{K-1}\frac{sin(2\pi n^2\Delta)}{n} It's just the n^2 that complicates things. I tried re-writing it as Im\sum_{n=0}^{K-1}\frac{e^{j n^2 x}}{n}, where x=2\pi \Delta but I cannot solve this either. Thanks, svensl

Thanks for pointing this out uart. Do you know of any literature which talks about mod 1? There is a wealth of literature on equidistributed mod 1 sequences, number theory, ergodic theory...but I have not found helping me whith my problem. Cheers, svensl

Thanks for the reply. With modulo N arithmetic I was referring to: http://en.wikipedia.org/wiki/Modular_arithmetic for example. If N=12 as in hour clock system, I could say that (13 mod 12)*(14 mod 12) = 2 = ((13*14) mod 12) = 2. This I meant by simplification. However, these rules do not...

I was wondering whether there are any simplification/rules when doing modulo 1 arithmetic. For example: <a+b>*<c+d> = ? or <a+b>^2=? Here, <> is the fractional part, i.e <4.2> = 0.2 There is plenty I could find on mod N arithmetic with n>1 but nothing on mod 1. thanks for any tips...