ContinuedFraction
 Usage
• ContinuedFraction[x, n] 产生一个在x的连续分数表示中的前 n项的列表。
• ContinuedFraction[x, n] 产生一个给定x的精度可得到的所有项的列表。
Notes
• 连续分数表示   ,  ,  , ...  相应于表达式 a1+1/(a2+1/(a3+...))。 • x 或者是一个精确数或者是一个不精确数。 • 例如: ContinuedFraction[Pi, 4]  . • 对精确数，如果 x 是有理数或二次无理数，可以使用ContinuedFraction[x]。 • 由于一个有理数的连续分数表示仅有有限项，在这种情况下ContinuedFraction[x, n]可能产生一个少于 n 个元素的列表。 • 对中断连续函数，  ... , k 总是与  ... , k-1, 1 相等; ContinuedFraction 返回这些形式中的第一个。 • FromContinuedFraction[list]从ContinuedFraction的结果中重新构造一个数。
 Further Examples
The result of ContinuedFraction is given as a list.
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The continued fraction simplifies to the original fraction.
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This gives the continued fraction representation of a quadratic number. The sublist represents the repeated part.
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You can go back to the number with FromContinuedFraction.
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This gives the first few terms of the continued fraction representation of a transcendental number.
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Here is a special case of Pell's equation. In a Diophantine equation like this the parameter m and the variables x and y are assumed to be integers.
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PellSolve gives the least positive solution for x and y when m is not a perfect square.
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Here is the solution when m is  .
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同时参见 FromContinuedFraction.
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