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arXiv math/0604210math.COmath.CAmath.OC
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离散傅立叶变换与广义表示

Gammes Bien Reparties et Transformee de Fourier discrete

Emmanuel Amiot

摘要:

本文用法语给出了基于离散傅里叶变换的极大偶集概念的一种新方法,并给出了几个基本的但有趣的和以前未发表的结果。最大偶数集是由音乐学家发明的,但被发现与其他科学领域有着深刻的关系,例如物理学中的伊辛模型。他们经济地描述了许多著名的“尺度”或循环群的子集,如这里所模拟的。

英文摘要:

This paper, in french, gives a new approach to the concept of Maximally Even Sets based on discrete Fourier transform, with several elementary but interesting and previously unpublished results. Maximally Even Sets have been invented by musicologists but have been found to bear deep relationships to other areas of science, such as the Ising model in Physics. They describe economically and characterise many famous 'scales' or subsets of the cyclic group as modelised here.

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。

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