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Nonlinear objectives, nonlinear constraints, non-convex objective, non-convex feasible region.

2 votes
1 answer
196 views

Feasibility of constrained multivariable diophantine equations

Let $d$ be day, $m$ be month and $y$ be year fields of a date. I want to find few dates of format $$(d^2\, mod\,\, 2 + (my + d^3) \,mod \,4) = 2$$ Is there a method to solve this type of equation or …
user3219492's user avatar
1 vote

Feasibility of constrained multivariable diophantine equations

Note: I am answering my own question According to Hilbert's tenth problem, there exists no general algorithm to say whether there exist integer solutions for a given Diophantine equation or not.
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