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21$\begingroup$ My opinion is that writing the computer-assisted mathematics should now include sharing the code, and to share the code in a universally accessible way, ideally requires sharing it on an open-source language. In any case it's IMHO an excellent and important question. $\endgroup$YCor– YCor2020-06-25 15:01:38 +00:00Commented Jun 25, 2020 at 15:01
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13$\begingroup$ It is also courteous to provide checksums. For instance, if one needs to evaluate the output $f(N)$ some computable function $f$ at some large number $N = 10^{10}$, also provide evaluations of $f$ at other values (e.g., $10^j$ for $j=1,\dots,9$), or also report the values of a related function $g(N)$. In particular any reported computations that are consistent with the theory or heuristics of what you are computing are reassuring. $\endgroup$Terry Tao– Terry Tao2020-06-25 15:30:03 +00:00Commented Jun 25, 2020 at 15:30
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6$\begingroup$ In terms of sharing your code, I made some comments in my answer to a related MO question. $\endgroup$Timothy Chow– Timothy Chow2020-06-25 15:33:04 +00:00Commented Jun 25, 2020 at 15:33
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1$\begingroup$ If you use a closed-source and proprietary CAS then I think providing the source is less important than a clear description of the formulation. $\endgroup$J.J. Green– J.J. Green2020-06-25 16:13:44 +00:00Commented Jun 25, 2020 at 16:13
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2$\begingroup$ This earlier MO question may be helpful: Computer calculations in a paper. There I suggest that Thomas Hales' work on the Kepler Conjecture can serve as a (high-bar) model. $\endgroup$Joseph O'Rourke– Joseph O'Rourke2020-06-25 21:13:02 +00:00Commented Jun 25, 2020 at 21:13
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