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• diophantine equation
  diophantine equation

  noun

  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
  Diophantine equation

  noun

  (in number theory) an equation in more than one variable and with integral coefficients, for which integral solutions are sought

diophantine equation

American  

Or Diophantine equation

noun

Mathematics.

1. an equation involving more than one variable in which the coefficients of the variables are integers and for which integral solutions are sought.

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Diophantine equation British  

/ ˌdaɪəʊˈfæntaɪn /

noun

1. (in number theory) an equation in more than one variable and with integral coefficients, for which integral solutions are sought

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Diophantine equation Scientific  

1. A type of indeterminate equation in which the coefficients are integers, studied to determine all integral solutions.

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Etymology

Origin of diophantine equation

1925–30; named after Diophantus, 3rd-century a.d. Greek mathematician; see -ine ¹

Example Sentences

See Examples For:

Diophantine equation

Imagine, for any Diophantine equation of the infinite set of such equations a machine that can tell whether it can be solved.

From Scientific American ● Mar. 9, 2022