Recent content by MagentaCyan

Thank you so much! You'll see I did post a couple of responses earlier but I now realize I was replying to myself instead of to you). When I first read your guidance I thought I would inevitably have to come back to ask for more help. But in fact, with very slow and careful work following your...

First steps, which I hope I have right. Evaluate ##F(0)## ... Recognize that: ##f_k## involves the product of a ##\mathrm{sinc}## function and an exponential. Once we set ##t=0##, the ##\mathrm{sinc}## function reduces to ##\mathrm{sinc}(\pi k)## The summation variable ##k## is always an...

Now that I've been working on it, I see that there is something I didn't notice at first; something I realise I don't understand. Please could you explain why the exponent of the ##F(0)## term in the second line of the identity \begin{split} F'(0) &= n\left(\sum_{k=-\infty}^\infty...

Thank you very much for the clarity of your suggestions. I'll see how I go working the problem through , and let you know.

Problem summary I have the characteristic function of a probability distribution but I'm having difficulty obtaining its derivative. Background I am reading the following paper: Schwartz, Lowell M. (1980). On round-off error. Analytical Chemistry, 52(7), 1141-1147. DOI:10.1021/ac50057a033. The...