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只是一些引理和推论

\(\varphi = \frac{1+\sqrt{5}}{2}\),我们有 \(\varphi^2 = \varphi + 1\)

定理:\(p, q \in \mathbb{N}\),若 \(0<p<q\),则

\[ \begin{equation}\label{eq20241008_1} |\varphi - \frac{p}{q}| \gt \frac{1}{3q^2} \end{equation} \]

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