continued fraction

《初等数论》 · 第 149 页

分数 $a_1+\cfrac{1}{a_2+\cfrac{1}{a_3+\cdots+\cfrac{1}{a_n}}}$ 叫做连分数。

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《LECTURE NOTES IN ANALYSIS (2011)》 · 第 326 页 · Section 7.1「The Euclidean Algorithm」

We shall use the notation $(a_0,a_1,\ldots,a_i)$ to designate the continued fraction in (7.3). In general, if $x_0,x_1,\ldots,x_j$ are any real numbers, all positive except perhaps $x_0$, we shall write the corresponding nested fraction; such a finite continued fraction is said to be simple if all the $x_i$ are integers.