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Math
Advanced Topics
Advanced Number Theory
Rational or Diophantine Approximation
Approximating Rational or Algebraic Numbers
Pell Equations and Continued Fractions
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1
Suppose that we want to solve p2−2q2=1p^2-2q^2=1p2−2q2=1. This is similar to approximating 2\sqrt{2}2 as pq\frac{p}{q}qp. Right, we use continued fractions to approximate real…
By Jason Chen
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