圆周率公式和算法的历史
History of the formulas and algorithms for pi
摘要：
在两千多年的时间里，人们得到了许多计算圆周率的公式，其中一些公式很漂亮。其中包括级数、无穷乘积、连分数展开式和根式展开式。一些与pi相关的表达式（令人惊讶地）已经被评估。此外，为了打破计算这个数字的数字的记录，已经进行了一场持续的战斗;记录已经使用快速收敛的系列，超快速算法和真正令人惊讶的算法，计算孤立的数字。功能强大的计算机的发展在微积分的这些成就中发挥了基础性作用。
英文摘要：
Throughout more than two millennia many formulas have been obtained, some of them beautiful, to calculate the number pi. Among them, we can find series, infinite products, expansions as continued fractions and expansions using radicals. Some expressions which are (amazingly) related to pi have been evaluated. In addition, a continual battle has been waged just to break the records computing digits of this number; records have been set using rapidly converging series, ultra fast algorithms and really surprising ones, calculating isolated digits. The development of powerful computers has played a fundamental role in these achievements of calculus.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
