(New page: ---- In question 2e <math> x(t)= \sum_{k=-\infty}^\infty \frac{1}{1+(x-7k)^2} \ </math> <br> should it be<math> x(t)= \sum_{k=-\infty}^\infty \frac{1}{1+(t-7k)^2} \ </math> ? ...) |
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| − | and I was trying to find out what the peak value is for this question but turns out to be very hard to calculate something like this<math> \sum_{t=-\infty}^\infty \frac{1}{1+t^2} \ </math> and wolfram said answer is π * coth( | + | and I was trying to find out what the peak value is for this question but turns out to be very hard to calculate something like this<math> \sum_{t=-\infty}^\infty \frac{1}{1+t^2} \ </math> and wolfram said answer is π * coth(π). is there any easier way to do that? |
Yimin. | Yimin. | ||
Jan 20 | Jan 20 | ||
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Revision as of 05:35, 20 January 2011
In question 2e $ x(t)= \sum_{k=-\infty}^\infty \frac{1}{1+(x-7k)^2} \ $
should it be$ x(t)= \sum_{k=-\infty}^\infty \frac{1}{1+(t-7k)^2} \ $ ?
and I was trying to find out what the peak value is for this question but turns out to be very hard to calculate something like this$ \sum_{t=-\infty}^\infty \frac{1}{1+t^2} \ $ and wolfram said answer is π * coth(π). is there any easier way to do that?
Yimin. Jan 20
