User Portlet
| Discussions |
|---|
| Is this what you want? NIntegrate[(1/x^5) Exp[-f[x]], {x, 10^5, 10^10}] (* -1.9300808341030454*10^-56 - 4.0635595028794603*10^-57 I*) |
| I run many snippets to see which ones fail to give the expected results. Then I put them together in more and more complete structures to see if the structures give an expected result. When they all work, I put the whole code together, and if I put... |
| **It turns out that is not proving what I thought, because I entered the wrong line.** Here is some numeric checking, however: &[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/bbd9af4e-cfac-41c7-9670-ffaaaabce779 |
| I noted that 11.3 is the fastest when computing the digits of the MRB constant too. I could add some benchmarks, if anyone wants them. (It would take about a day.) |
| 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 |