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| Going into algebraic number theory -NumberFieldDiscriminant[x /. Solve[x^3 == x^2 + 6 x + 5][[1]]] |
| &[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/47123188-de57-4f4c-8337-65939abca8a5 |
| I finally looked at one of the major source papers, [An Update on Monitoring Stellar Orbits in the Galactic Center][1], Astrophysical Journal. "We use a fitting code we developed in Mathematica (Wolfram Research, Inc. 2016), which calculates the... |
| &[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/795a823c-06e9-4a97-aff5-308b29424f4c |
| "What is known about the maximum number of facets of a single convex polyhedron that can tile in R^3 or R^n?" For an infinite unbound polyhedron, infinite facets, formed by the Voronoi cells of equally spaced points on an infinite helix. For... |
| Missing—one square to four, or one equilateral triangle to four. How about one square to five? AlgebraicSubstitutionTiling[{1,{{-3,-1},{-3,1},{-1,-3},{-1,-1},{-1,1},{-1,3},{1,-3},{1,-1},{1,1},{1,3},{3,-1},{3,1}}, {{1,6,12,7}->... |
| SpaceGroupIrep: tool set for irreducible representations of space group, https://community.wolfram.com/groups/-/m/t/2237563 might have what you need. |
| &[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/f4fc4f44-1b86-4ad1-b7f5-7a1cb39fa28c |
| How about something like the following? ![enter image description here][1] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=satsolving.jpg&userId=21530 |
| Currently, the prize for Megamillions is over a billion dollars. Pick 5 numbers from 1 to 70, then pick one number from 1 to 25. Odds of winning Megamillions: 25 Binomial[70, 5] = 302575350 Not sure what the odds are of just one... |