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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 -ine1
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

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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.
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