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diophantine analysis

American  
[dahy-uh-fan-teen, -tahyn] / ˌdaɪ əˈfæn tin, -taɪn /
Or Diophantine analysis

noun

Mathematics.
  1. any of several methods for finding integral solutions for equations with more than one variable whose coefficients are integers.


Diophantine analysis Scientific  
/ dī′ə-făntīn′ /
  1. A collection of methods for determining integral solutions of certain algebraic equations, such as those having two unknown variables.


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This branch of analysis was extensively studied by Diophantus, and is sometimes termed the Diophantine Analysis.

From Project Gutenberg