Diophantine equation

Noun

Meaning

English Wikipedia has an article on:Diophantine equationWikipedia
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Diophantine equation (plural Diophantine equations)

(number theory) A polynomial equation whose variables are only permitted to assume integer values.

Source: en.wiktionary.org

Related terms

Diophantine analysis Diophantine set

Examples

An exponential Diophantine equation is one for which exponents of the terms of the equation can be unknowns. Source: Internet

An example of linear Diophantine equation is where a, b, and c are constants. Source: Internet

An exponential Diophantine equation is one in which exponents on terms can be unknowns. Source: Internet

Hilbert's tenth problem was to determine whether a given polynomial Diophantine equation with integer coefficients has an integer solution. Source: Internet

Given a Diophantine equation with any number of unknown quantities and with rational integral coefficients: To devise a process according to which it can be determined in a finite number of operations whether the equation is solvable in rational integers. Source: Internet

In general, a linear Diophantine equation has no solutions, or an infinite number of solutions. Source: Internet

Close letter words and terms

diophantine Diophantine analysis Diophantine approximation diophantine geometry Diophantine set Diophantus