Diophantine equation

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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.]

Diophantine equation [ˌdaɪəʊˈfæntaɪn]

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

[after Diophantus, Greek mathematician of the 3rd century ad]

Diophantine equation

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

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No references found			The equation of Fermat''s last theorem is one example of a type known as a Diophantine equation -- an algebraic expression of several variables whose solutions are required to be rational numbers (either whole numbers or fractions, which are ratios of whole numbers). The 2500-Year-Old Pythagorean Theorem by Brain Haley / Reference and Education community Abstract We search for nonzero integral triples (x, y, z) satisfying the quartic Diophantine equation 2[x. Integral solutions of quartic Diophantine equation ... by Somanath, Manju; Vanitha, N.; Gopalan, M.A. / Advances in Theoretical and Applied Mathematics It asks whether there is a mechanical procedure, such as could be programmed into a computer, for deciding whether a Diophantine equation has solutions (a Diophantine equation is one like the Fermat equation [x. Mathematical Mountaintops. (Books: spheres & cubes) by Franklin, James / New Criterion			Dioicous diol Diomede Islands Diomedea Diomedea exulans Diomedea nigripes Diomedeidae Diomedes Dionaea Dionaea muscipula Dione Dionysia Dionysiac Dionysian Dionysian period Dionysius Dionysius Exiguus Dionysius of Halicarnassus Dionysius the Areopagite Dionysius the Elder Dionysius Thrax Dionysus dioon Diophantine Diophantine analysis Diophantine equation Diophantus diopside dioptase diopter dioptometer dioptre dioptric Dioptric curve dioptrics Dioptry Dior diorama Dioramic Diorism Dioristic diorite Dioritic Diorthotic Dioscorea Dioscorea alata Dioscorea batata Dioscorea bulbifera Dioscorea elephantipes Dioscorea paniculata Dioscorea trifida			Dionysius the Younger Dionysius Thrax Dionysius Thrax Dionysius' Ear Dionysius's Ear Dionysos Dionysos Dionysos Dendrites Dionysos Dendrites Dionysus Dionysus Dionysus Dendrites Dionysus Dendrites Dionysus the Areopagite Dionysus the Areopagite Dionysus, Dionysus, Dionyza dioon Dioon edule Diop Diop, Birago Diop, Birago Ismael Diop, David Diopecephalus Diophantine Diophantine analysis Diophantine analysis Diophantine approximation Diophantine approximations Diophantine equation Diophantine equations Diophantine equations Diophantine geometry Diophantine geometry Diophantos Diophantos Diophantus Diophantus Diophantus of Alexandria Diophantus of Alexandria Diopian Inquiry and Research on Education as Culture Transmission Diopocephalus DIOPS Diopsidae diopside diopside Dioptase Dioptase diopter diopter diopter diopter diopter diopter diopter magnification Diopters Diopters Diopters dioptometer dioptometer

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