根据沃利斯的公式

Edinburgh Mathematical Notes Pub Date : 1900-01-01 DOI:10.1017/S095018430000029X

D. K. Kazarinoff

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引用次数: 28

摘要

在数学的发展过程中，新的真理被发现，而旧的真理有时被更精确地表达出来，并经常被概括。然而，由于它们的优雅和简单，一些经典语句被保留了下来。作为一个例子，我想起了约翰•沃利斯(John Wallis)的著名公式，一个多世纪以来，它一直被教科书作者引用。通常这个公式写为:在本笔记中显示为¼

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On Wallis' formula

In the course of mathematical progress new truths are discovered while older ones are sometimes more precisely articulated and often generalised. Because of their elegance and simplicity, however, some classical statements have been left unchanged. As an example, I have in mind the celebrated formula of John Wallis, which for more than a century has been quoted by writers of textbooks. Usually this formula is written as In this note it is shown that ¼

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Edinburgh Mathematical Notes

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