What does diophantine equation mean?

Definitions for diophantine equation
dio·phan·tine equa·tion

This dictionary definitions page includes all the possible meanings, example usage and translations of the word diophantine equation.


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Wiktionary

  1. Diophantine equationnoun

    A polynomial equation whose variables are only permitted to assume integer values

Wikidata

  1. Diophantine equation

    In mathematics, a Diophantine equation is an indeterminate polynomial equation that allows the variables to take integer values only. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for all equations. In more technical language, they define an algebraic curve, algebraic surface, or more general object, and ask about the lattice points on it. The word Diophantine refers to the Hellenistic mathematician of the 3rd century, Diophantus of Alexandria, who made a study of such equations and was one of the first mathematicians to introduce symbolism into algebra. The mathematical study of Diophantine problems that Diophantus initiated is now called "Diophantine analysis". A linear Diophantine equation is an equation between two sums of monomials of degree zero or one. While individual equations present a kind of puzzle and have been considered throughout history, the formulation of general theories of Diophantine equations was an achievement of the twentieth century.

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Numerology

  1. Chaldean Numerology

    The numerical value of diophantine equation in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of diophantine equation in Pythagorean Numerology is: 1

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"diophantine equation." Definitions.net. STANDS4 LLC, 2024. Web. 29 Apr. 2024. <https://www.definitions.net/definition/diophantine+equation>.

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