pure recurring continued fraction

例句：

1. 1. The pure recurringcontinued fraction is a mathematical concept that describesa sequence of numbers where each term dependsonly on the previous terms and not onany other external factors.
   纯连续分数是一种数学概念，它描述了一种数列，其中每个项仅依赖于前一个项，而不依赖于任何其他外部因素。
2. 2. Inmathematics, the pure recurring continued fraction is used to model certaintypes of functions, such as those witha periodic behavior.
   在数学中，纯连续分数被用来模拟某些具有周期性行为的函数。
3. 3. The study of the pure recurring continued fraction has applications in areas suchas cryptography and signal processing.
   纯连续分数的研究在密码学和信号处理等领域有应用。