Share this entry

Share this page

Diophantine equation

Line breaks: Dio|phan¦tine equa|tion
Pronunciation: /ˌdʌɪəˈfantɪn
 
, -tʌɪn/

Definition of Diophantine equation in English:

noun

Mathematics
A polynomial equation with integral coefficients for which integral solutions are required.
Example sentences
  • 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.
  • Instead of asking whether a given Diophantine equation has a solution, ask ‘for what equations do known methods yield the answer?’
  • Wolfram displays a table of some of the simplest possible Diophantine equations, distinguishing between those known to have integer solutions, those known to have no integer solutions, and those for which the question is still open.

Origin

early 18th century: named after Diophantus.

Definition of Diophantine equation in:

Share this entry

Share this page

 

What do you find interesting about this word or phrase?

Comments that don't adhere to our Community Guidelines may be moderated or removed.

Get more from Oxford Dictionaries

Subscribe to remove adverts and access premium resources

Word of the day cumbersome
Pronunciation: ˈkʌmbəs(ə)m
adjective
large or heavy and therefore difficult to carry…