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新符号学

为零约术,并用之得出圆周率的近似分数为{\dispystyle{\frac{355}{113}}}[4],正是祖冲之的密率。

    h金分割与斐波那契数列编辑

    h金分割:

    2

    {\dispystyle\varphi={\frac{{\sqrt{5}} 1}{2}}\approx1.6180339887...}\varphi={\frac{{\sqrt{5}} 1}{2}}\approx1.6180339887...

    用调日法求分数表示:

    {\dispystyle{\frac{1}{1}},{\frac{2}{1}},{\frac{3}{2}},{\frac{5}{3}},{\frac{8}{5}},{\frac{13}{8}},{\frac{21}{13}},{\frac{34}{21}},{\frac{55}{34}},{\frac{89}{55}},{\frac{144}{89}},{\frac{233}{144}},{\frac{377}{233}},{\frac{610}{377}},{\frac{987}{610}},{\frac{1597}{987}},{\frac{2584}{1597}},{\frac{4181}{2584}}}{\dispystyle{\frac{1}{1}},{\frac{2}{1}},{\frac{3}{2}},{\frac{5}{3}},{\frac{8}{5}},{\frac{13}{8}},{\frac{21}{13}},{\frac