Synia
Reputation
Next privilege 250 Rep.
 Jul 8 comment How to finding permutations where some elements repeat? Oh I get it, because while a repeating element like {1, 1} have N "inner" permutations, there are many places where this can occur, in this example, position [1 2], position [1 3] and position [2 3]. And since these inner permutations don't count, they effectively increased the total permutation count by N times. Thanks a lot! Jul 8 comment How to finding permutations where some elements repeat? Thank you for the fast reply! I think I'm beginning to understand... but why is it divide by the "inner" permutations and not minus the "inner" permutations? Jun 21 comment Deriving Taylor series for function from geometric series @J.M. I don't actually know how to expand it, it's just given to me and I memorized it. Jun 21 comment Deriving Taylor series for function from geometric series @J.M. Sorry but i don't get it. The last few questions I have been doing is more along the lines of $\frac{1}{3-2z}$ with center at 1. which rearranges to $$\frac{1}{1-2(z-1)}$$ which looks very similar to the geometric series $$\frac{1}{1-z}$$. I substitute 2(z-1) into z from geometric series and get my answer. Jun 21 comment Deriving Taylor series for function from geometric series @J.M. Thanks, but I still don't seem to get how this can be fitted into the Geometric Series, can you elaborate a little please? Jun 21 comment Check my solution - Modelling of a spring with Differential Equation @anon thank you for your help, and i'll definitely keep those tips in mind next time i ask a question. Jun 20 comment What happens to Fourier Transform of function when the function's time scale is changed? @leonbloy Just self revision, but anyway, I've added more information to what I have tried, please take a look. Thanks Jun 20 comment Finding Fourier series with function not centered at the origin @LeonidKovalev why is$\int_{-\pi}^\pi f(t)\sin nt\,dt=2\int_{0}^{\pi/2} f(t)\sin nt\,dt$ ? Jun 19 comment Finding Fourier series with function not centered at the origin @RaymondManzoni Thanks for your help, I have now worked out half the question for when it's Even, but what would f(x) be like when it is Odd? Jun 19 comment Finding Fourier series with function not centered at the origin @Raymond Manzoni Thanks, I'll give it a go now Jun 19 comment Evaluating Integral with Residue Theorem Thanks, so I just want to check, is it possible for the integral to be 0 even if there are poles inside the path of integration?