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词汇 Superparticular numbers
分类 英语词汇 英语翻译词典
释义

Superparticular numbers

中文百科

Superparticular数 Superparticular ratio

(重定向自Superparticular numbers)

Superparticular数是以下形式的有理数:

 {n + 1 \over n} = 1 + {1 \over n}

其中n为正整数。

Superparticular数是由尼各马科在其著作《算术简介》〈Introduction to Arithmetic〉中提出,应用在音乐理论及视觉和谐度的研究中。

英语百科

Superparticular ratio Superparticular数

(重定向自Superparticular numbers)

In mathematics, a superparticular ratio, also called a superparticular number or epimoric ratio, is a ratio of the form

Thus:

Superparticular ratios were written about by Nicomachus in his treatise "Introduction to Arithmetic". Although these numbers have applications in modern pure mathematics, the areas of study that most frequently refer to the superparticular ratios by this name are music theory and the history of mathematics.

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