略解2: Generating Numbers with Unary Functions

Last modified: Wed Aug 29 22:25:39 2001 JST

任意の有理数 x は,有限単純連分数で表現できる.

              1    1          1
    x = a0 + --   --         --
             a1 + a2 + ... + an
例えば,
      355          16          1            1           1    1
     ----- = 3 + ----- = 3 + ----- = 3 + ------- = 3 + --   --
      113         113         113             1         7 + 16
                              ---        7 + --
                               16            16


Naoyuki Tamura