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| Discussions |
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| It would help to have a specific example so readers will know what sorts of equations are being considered. Offhand all I can suggest is to add tag variables and equations to recover the needed partial derivatives. E.g. add equation df1dx3==D[f1,x3]... |
| 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. |
| Is Planet-9 still viable? A new trans-Neptunian object challenges the orbital bias behind the theory Will “Planet 9 from Outer Space” be that long-awaited sequel? Stay tuned to Chiller Theater to find out. (Who could have guessed that cult classics would come to Wolfram Community.) |
| You want a multiplication where you have a comma. Other than that, `Expand` is the function to use if you want the result as a sum of products. |
| Is it really too much trouble to state the equations in the text of the message? And what exactly is crashing? |
| Sorry about the 6/5 typo. Below is a better method anyway. ff = RSolveValue[{f[1] == 5, f[n] == f[n - 1] + Piecewise[{{1, Mod[n, 6] == 0}}, 6]}, f[n], n] (* Out[53]= 30 + Floor[1/6 (-6 + n)] + 6 Floor[1/6 (-5 + n)] + 6... |
| I cannot say that I like the integrals. But the derivatives make good sense to me. The Kronecker delta, unlike its Dirac analog, is not a functional. There are no plausible alternatives for the derivatives that I'm aware of. |
| One can use Mod to get a remainder between 0 and n-1. Or a different set of contiguous residue classes if so desired. As for definitions of quotient and remainder, there are conventions. It isn’t one-size-fits-all. |
| The time is spent attempting to compile (I believe eventually with success) the last `Table` command because it has exceeded the default auto-compile length of 250. This involves, among other things, a full iteration over the table (I do not know all... |
| Also [PersistantHomology](https://resources.wolframcloud.com/FunctionRepository/resources/PersistentHomology) in the Wolfram Function Repository might be relevant. |