| an equation involving more than one variable in which the coefficients of the variables are integers and for which integral solutions are sought. |
| Diophantine equation n. An algebraic equation with two or more variables whose coefficients are integers, studied to determine all integral solutions. [After Diophantus, third-century A.D. Greek mathematician.] |
| Diophantine equation
A type of indeterminate equation in which the coefficients are integers, studied to determine all integral solutions. |
Diophantine equation mathematics
Equations with integer coefficients to which integer solutions are sought. Because the results are restricted to integers, different algorithms must be used from those which find real solutions.
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(1998-08-27)