diophantine equation

diophantine equation

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.
Also, Diophantine equation.

1925–30; named after Diophantus, 3rd-century a.d. Greek mathematician; see -ine1

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World English Dictionary
Diophantine equation (ˌdaɪəʊˈfæntaɪn)
(in number theory) an equation in more than one variable and with integral coefficients, for which integral solutions are sought
[C18: after Diophantus, Greek mathematician of the 3rd century ad]

Collins English Dictionary - Complete & Unabridged 10th Edition
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American Heritage
Science Dictionary
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 © 2002. Published by Houghton Mifflin. All rights reserved.
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Computing Dictionary

Diophantine equation definition

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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The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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