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.


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

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
Cite This Source Link To diophantine equation
Collins
World English Dictionary
Diophantine equation (ˌdaɪəʊˈfæntaɪn)
 
n
(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
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
Cite This Source
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.
Cite This Source
FOLDOC
Computing Dictionary

Diophantine equation definition

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, © Denis Howe 2010 http://foldoc.org
Cite This Source
Copyright © 2014 Dictionary.com, LLC. All rights reserved.
  • Please Login or Sign Up to use the Recent Searches feature
FAVORITES
RECENT

;