Definitions
from The Century Dictionary.
- Of or pertaining to Diophantus of Alexandria, a celebrated Greek arithmetician, who flourished in the fourth century.
from the GNU version of the Collaborative International Dictionary of English.
- adjective Originated or taught by Diophantus, the Greek writer on algebra.
- adjective (Alg.) that branch of indeterminate analysis which has for its object the discovery of rational values that satisfy given equations containing squares or cubes; as, for example, to find values of
x andy which make x2 + y2 an exact square.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective Alternative form of
Diophantine .
Etymologies
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Examples
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One may also study real numbers in relation to rational numbers, e.g., as approximated by the latter (diophantine approximation).
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
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Moreover, several concepts (especially that of height) turn out to be crucial both in diophantine geometry and in the study of diophantine approximations.
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
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Integers can be considered either as such or as solutions to equations (diophantine geometry).
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
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There is also the closely linked area of diophantine approximations
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
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Well, fellow next to me, he has a whole bunch of stuff from the Lilavata" old Hindu math problems, mostly diophantine equations when you come down to it, but" "
Starchild Omnibus Pohl, Frederik & Williamson, Jack 1963
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