Metallic MOS: Difference between revisions
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=== Application: L:s sequences === | === Application: L:s sequences === | ||
Continued fractions can compute L:s sequences by repeatedly depleting the terms of the continued fraction for the generator. For example, we’ll look at the L:s sequence for g = [0; 2, 2, | Continued fractions can compute L:s sequences by repeatedly depleting the terms of the continued fraction for the generator. For example, we’ll look at the L:s sequence for g = [0; 2, 2, <span style="text-decoration:overline">1</span>] ≈ 0.419821. | ||
<math> | <math> | ||
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\begin{align} | \begin{align} | ||
\begin{cases} | \begin{cases} | ||
[1; \overline{1}] &≈ 1.618034 = φ | [1; \overline{1}] &≈ 1.618034 = φ \\ | ||
… | … \\ | ||
\end{cases} | \end{cases} | ||
\end{align} | \end{align} | ||
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[2; \overline{2}] &≈ 2.414214 = δ_s \\ | [2; \overline{2}] &≈ 2.414214 = δ_s \\ | ||
[1; \overline{2}] &≈ 1.414214 = δ_s - 1 \\ | [1; \overline{2}] &≈ 1.414214 = δ_s - 1 \\ | ||
… | … \\ | ||
\end{cases} | \end{cases} | ||
\end{align} | \end{align} | ||