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diophantine equation

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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.


Origin:
1925–30; named after Diophantus, 3rd-century a.d. Greek mathematician; see -ine 1
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
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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.]
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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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 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.
[More details?]
(1998-08-27)

The Free On-line Dictionary of Computing, © 1993-2007 Denis Howe
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