Demystifying Diophantine Approximation
From intuitive insights to deep theory — learn how well real numbers can be approximated by rationals, why it matters, and how it powers real-world applications.
Example Statement
Dirichlet's theorem: For any real x and positive integer Q, there exist integers p, q with 1 ≤ q ≤ Q such that
$$\left|x - \frac{p}{q}\right| < \frac{1}{qQ}$$
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