Timeline for How can I solve this system of 6 simple quadratic diophantine equations in four variables?
Current License: CC BY-SA 4.0
7 events
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| Jan 25, 2022 at 17:51 | comment | added | Eldar Sultanow |
My code above has a relaxed condition and it found some "almost" solutions, for example [w=67375, x=-89425, y=−114695, z=196769.2970]. See here the MSE Post that describes the mathematical motivation and provides some "almost" solutions.
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| Jan 25, 2022 at 17:49 | comment | added | Bob Hanlon | @bbgodfrey - As shown, I only tested the first 20 lines and found no solutions. | |
| Jan 25, 2022 at 17:46 | comment | added | bbgodfrey | Have you obtained a few solutions that you could share? | |
| Jan 25, 2022 at 17:39 | vote | accept | Eldar Sultanow | ||
| Jan 25, 2022 at 17:38 | comment | added | Bob Hanlon |
In general Solve can miss solutions for some problems. If you want more rigor, use Reduce
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| Jan 25, 2022 at 17:34 | comment | added | Arty |
BTW, does Mathematica Guarantee that for each (s, t, u) line in data file it finds exactly ALL possible solutions for system? In other words does it search symbolically all Infinite space of possible (w, x, y, z)? Or it finds them until some limit, for example 2^64 at most?
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| Jan 25, 2022 at 17:07 | history | answered | Bob Hanlon | CC BY-SA 4.0 |