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# diophantine equation

### or Diophantine equation

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noun Mathematics.

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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## Origin of diophantine equation

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

^{1}## Words nearby diophantine equation

Dionysius the Areopagite, Dionysius Thrax, Dionysus, dioon, diophantine analysis, diophantine equation, Diophantus, diopside, diopsimeter, dioptase, diopter

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2022

## How to use diophantine equation in a sentence

## British Dictionary definitions for diophantine equation

Diophantine equation

/ (ˌdaɪəʊˈfæntaɪn) /

noun

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

## Word Origin for Diophantine equation

C18: after Diophantus, Greek mathematician of the 3rd century ad

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for diophantine equation

Diophantine equation

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

The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.