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| MRB=$\sum _{x=0}^{\infty } e^{i \pi x} \left(1-(x+1)^{\frac{1}{x+1}}\right) $ vs M2= $\int_0^\infty e^{i \pi x} \left(1-(x+1)^{\frac{1}{x+1}}\right) dx$ in proper integrals ![enter image description here][1] See [this notebook][2]. I got... |
| Here is a shorter way: &[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/e7d2363e-d594-433f-a4af-0a7a57a2ad56 |
| Click Make Your Own Copy. Open a free Wolfram account and change the values. When done do a shift+enter. |
| &[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/cb0dee34-dada-4d11-b542-a08681d3bffb |
| So Raspi, do you have any specific questions on how to use other roots in Mathematica? |
| Notice that when t=0, they are not always equal. &[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/288dc419-180a-44dc-af09-57ff67bbf186 |
| All know is that where your(2X2) map had 2,4 then 4 paths, my (3X3) map had 6, 36 then 36. I suspect a (4X4) map will have 4,64 then 64 paths. |
| After selecting the cell, try hitting the Delete key. |
| Just a guess: Change `RipleyK[proc4, Range[0, 200, 1]]}`, to `RipleyK[proc4, Range[0, 200, 10]]}`, |
| a = Solve[x^7 - 1 == 0, x] Out[42]= {{x -> 1}, {x -> -(-1)^(1/7)}, {x -> (-1)^( 2/7)}, {x -> -(-1)^(3/7)}, {x -> (-1)^( 4/7)}, {x -> -(-1)^(5/7)}, {x -> (-1)^(6/7)}} t = N[Total[x^2 /. a]] Out[53]=... |