diophantine Definition
relating to or denoting a type of algebraic equation in which the coefficients are integers and which is concerned with finding integer solutions to equations involving two or more variables.
Using diophantine: Examples
Take a moment to familiarize yourself with how "diophantine" can be used in various situations through the following examples!
Example
The diophantine equation x^2 + y^2 = z^2 has no non-zero integer solutions.
Example
Diophantine analysis is a branch of number theory that deals with diophantine equations.
Example
The problem of finding integer solutions to the diophantine equation ax + by = c is known as the linear diophantine problem.
diophantine Synonyms and Antonyms
Synonyms for diophantine
Phrases with diophantine
an equation in which the coefficients are integers and which is concerned with finding integer solutions to equations involving two or more variables
Example
The diophantine equation x^2 + y^2 = z^2 has no non-zero integer solutions.
a branch of number theory that deals with diophantine equations
Example
Diophantine analysis is a branch of number theory that deals with diophantine equations.
the problem of finding integer solutions to the diophantine equation ax + by = c
Example
The problem of finding integer solutions to the diophantine equation ax + by = c is known as the linear diophantine problem.
Origins of diophantine
named after Diophantus, a Greek mathematician
Summary: diophantine in Brief
'Diophantine' [ˌdaɪəˈfæntaɪn] is an adjective used to describe a type of algebraic equation in which the coefficients are integers and which is concerned with finding integer solutions to equations involving two or more variables. It is a branch of number theory that deals with diophantine equations, such as the linear diophantine problem.
