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# Diophantine equation

[ˌdʌɪə'fantɪn, -tʌɪn]
noun Mathematics a polynomial equation with integral coefficients for which integral solutions are required.
Origin
C18: named after the third-cent. Greek mathematician Diophantus.

English new terms dictionary. 2014.

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• Diophantine equation — In mathematics, a Diophantine equation is an indeterminate polynomial equation that allows the variables to be integers only. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for… …   Wikipedia

• diophantine equation — /duy euh fan tuyn, teen, fan tn/, Math. an equation involving more than one variable in which the coefficients of the variables are integers and for which integral solutions are sought. [1925 30; named after Diophantus, 3rd century A.D. Greek… …   Universalium

• Diophantine equation — noun Etymology: Diophantus, 3d century A.D. Greek mathematician Date: circa 1928 an indeterminate polynomial equation which has integral coefficients and for which it is required to find all integral solutions …   New Collegiate Dictionary

• Diophantine equation — noun A polynomial equation whose variables are only permitted to assume integer values …   Wiktionary

• Diophantine equation — /daɪəfæntaɪn əˈkweɪʒən/ (say duyuhfantuyn uh kwayzhuhn) noun an indeterminate equation with integral coefficients, in which the variables can take only integral values. {from Diophantus, fl. 3rd century AD, Greek mathematician} …   Australian English dictionary

• diophantine equation — n. Math. an equation with integral coefficients for which integral solutions are required. Etymology: Diophantus of Alexandria, mathematician of uncert. date …   Useful english dictionary

• Polynomial Diophantine equation — In mathematics, a polynomial Diophantine equation is an indeterminate polynomial equation whose solutions are restricted to be polynomials in the indeterminate. A Diophantine equation, in general, is one where the solutions are restricted to some …   Wikipedia

• Equation diophantienne — Équation diophantienne Édition de 1670 des Arithmétiques de Diophante d Alexandrie. Une équation diophantienne, en mathématiques, est une équation dont les coefficients sont des nombres entiers et dont les solutions recherchées sont également… …   Wikipédia en Français

• Diophantine — means pertaining to the ancient Greek mathematician Diophantus. A number of concepts bear this name: Diophantine approximation Diophantine equation Diophantine set This disambiguation page lists articles associated with the same title. If an …   Wikipedia

• Diophantine set — In mathematics, a Diophantine equation is an equation of the form P(x1, ..., xj, y1, ..., yk)=0 (usually abbreviated P(x,y)=0 ) where P(x,y) is a polynomial with integer coefficients. A Diophantine set is a subset S of Nj  so that for some… …   Wikipedia