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This is nice. I think OEIS and in general libraries of constants will be of great help in tackling problems with no analytical solutions. Actually I do a lot o
by tikej 6y ago
This is nice. I think OEIS and in general libraries of constants will be of great help in tackling problems with no analytical solutions.
Actually I do a lot of integrals this way – symbolically but checking whether the transformation was legit evaluating definite integral on few random intervals. For me is very helpful and I believe it can be extended to problems beyond integrals.
- throwlogon 6y ago> It's easy to use Monte Carlo methods and find that when n is large, the average cluster size is approximately 2.15013 It never occurred to me before, but running simulations and looking up the result in a dictionary of constants might be a helpful learning approach for people who are more adept at going from practice to theory.
- madcaptenor 6y agoThe problem with this approach is that to get enough decimal places to be able to look things up in a dictionary of constants can require a very long simulation.
- nullc 6y agoI solve a lot of problems this way, thanks to OEIS. How many fromblaz of size N are there? lets count them for N=1 ... N=8 or whatever is tractable to count using naive methods then hope a useful result shows up in OEIS. OEIS will also return equations for simple linear integer expressions without an OEIS entry. Unfortunately, the tools for single constants are significantly less good than OEIS.