论文标题
通过单调不变的度量来构建光滑的节奏
Construction of smooth rhythms through a monotone invariant measure
论文作者
论文摘要
本文通过某个转换$ ref $（称为改革图）介绍了标记节奏的准平滑度的概念。明显的节奏由节奏和标记组成，地图$ ref $修饰了节奏的标记发作。结果表明，地图$ ref $的迭代将任意标记的节奏转化为准平滑式节奏。根据其节奏部分的差异给出了标记节奏的数值标准。通过此标准，所有标记的节奏的节奏部分都显示为光滑。
The present article introduces the notion of quasi-smoothness of marked rhythms through a certain transformation $Ref$, called reformation map. A marked rhythm consists of a rhythm together with a marker, and the map $Ref$ modifies the marked onset of the rhythm. It is shown that an iteration of the map $Ref$ transforms an arbitrary marked rhythm into a quasi-smooth one. A numerical criterion for a marked rhythm to be quasi-smooth is given in terms of the difference of its rhythm part. Through this criterion, the rhythm part of any quasi-smooth marked rhythm is shown to be smooth.
