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Diophantine approximation

 Home Mathematics Fields of mathematics Arithmetic Numbers Irrational numbers
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Diophantine approximation is a branch of number theory that deals with the approximation of real numbers by rational numbers. It specifically studies the extent to which real numbers can be closely approximated by rational numbers, with a focus on the quality of these approximations. The name "Diophantine" comes from the ancient Greek mathematician Diophantus, who is known for his work in algebra, particularly in solving polynomial equations.

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