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| Constructing the MRB constant via an integral ============================================= **I was going to publish this elsewhere, but since it completes the construction of the MRB constant, I decided to post it here.** Below, the multivalued... |
| I used Series[] in Mathematica to find how close a special approximation is to the MRB constant. &[Wolfram Notebook][2] [1]: https://www.wolframcloud.com/obj/027c1f41-4f6b-4bff-b033-fad30f37dcc1 [2]:... |
| Your swaps form a 1-1 and onto map from the set to itself. The construction of the set has it sorted. So sorting after the swaps will restore the original ordering. |
| &[Wolfram Notebook][1] Interestingly, - The sequence (-1)^n(n^(1/n)-1) is not "open" in the sense that it doesn't diverge or expand indefinitely. Instead, it oscillates . - It is not "closed" either for individual terms, because... |
| When I pasted this question into it, the Assistant gave me the following. &[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/697f066d-68a6-4d5d-bac7-6539b9fef886 |
| Mariusz (and Marvin, too): I don't know yet if I can have access to MATHEMATICA 14.2.0, so that I cannot check your results, but I think your result for the integral involving the first power of Q cannot be correct. It is different from the... |
| With a free account, can you access &[this?][1] [1]: https://www.wolframcloud.com/obj/b1f73c4b-4af4-4d69-ae7c-320e298d8d26 |
| Thank you for your check. You can use the notebook in the attachment. |
| Totally agree with you - I am also using Gemini Advanced and ChatGPT Pro in addition to Notebook assistant and I am definitely getting better results from those 2 other paid AI's than Notebook assistant. Not only can the other AI's code better,... |
| Daniel, I'll look at remaining it. Thaks for the correction. |