Srini

### Questions (30)

 8 Does $\sum_{k=0}^{\infty}\sin\left(\frac{\pi x}{2^k}\right)$ have a simple form with interesting properties? 6 Identify $\sum\limits_{k=-\infty}^{\infty} \frac{1}{(x+k)^2}$ 4 Feynman integration - help with this old answer 3 $e^{-xy} + e^{xy} = 2e^{-y}$ - where am I going wrong? 3 What is $\sum_{k=-\infty}^{\infty} \frac{(-1)^k}{x+(2k+1)}$?

### Reputation (602)

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 1 Convolution periodicity 0 Integrating $\frac {sgn(x)} {x^3}$ 0 Two right triangles of equal perimeter share a side. Given an acute angle of one triangle, find the acute angles of the other. 0 Some servants always tell the truth whereas other servants always lie 0 Help with total probability of a transmitted message (Total probability?)

### Tags (30)

 1 convolution × 2 0 laplace-transform × 4 1 periodic-functions 0 fourier-transform × 4 1 signal-processing 0 definite-integrals × 3 0 sequences-and-series × 9 0 functions × 2 0 integration × 6 0 summation × 2