Recent content by blahdeblah

Three cases: If Manti is at the party then I will be there - doesn't exclude the possibility that I will be there if Manti is not Only if Manti is at the party. Then I will be there - doesn't exclude the possibility that I might not be there if Manti is If and only if Manti is at the party...

I think it is the difference between "only if" and "if and only if".

You misinterpreted your own example. Samir will be present only if Kanti is present. This allows Kanti to turn up at the party beforehand without Samir. In which case your last assertion is incorrect.

P only if q: q is a necessary condition for p. Therefore p implies q.

k is a real scalar > 1 a is a real scalar > 0 s is a imaginary scalar > 0 My first post asks if there is a closed form expression of the infinite sum given. If the answer is yes, then some guidance in the right direction to help to obtain it would be very helpful. If a solution is...

Here is my original problem: FB(s)=\sum_{n=-\infty}^\infty \frac{a(k^ns)}{(k^ns)^2+a(k^ns)+1} This is what I really want to obtain the closed form solution for.

a is a constant, yes and s is a variable (actually frequency in my application). I already know from experimentation in Mathcad that an expression using this basic block produces a reasonable result (I suppose I should say bounded). The original expression is 2nd order and the associated...

Sorry, the process of posting this, made me think of something which might be helpful: H(s)=\sum_{n=-\infty}^\infty \frac{1}{1+a/(s.k^n)} so... H(s)=\sum_{n=-\infty}^\infty \frac{1}{1+a.k^{-n}/s} I might be able to google this one as it looks a bit more like a standard form of something.

Hi, (not homework/academic) Is a closed form of the following expression possible? Either way, some pointers in the right direction would be really helpful. H(s)=\sum_{n=-\infty}^\infty \frac{k^n}{k^n+a/s} Thanks, D