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Diophantine equation
(redirected from Diophantine equations)

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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.]

Diophantine equation [ˌdaɪəʊˈfæntaɪn]
n
(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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That conjecture offers a new way of expressing Diophantine problems, in effect translating an infinite number of Diophantine equations (including the equation of Fermat''s last theorem) into a single mathematical statement.
Introduction In [1, 2] Quadratic Diophantine equations with three unknowns have been considered for its parametric integral solutions.
Penrose draws upon classes of mathematical problems for which no computational solution exists, including the tiling problem as well as certain Diophantine equations.
 
 
 
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