Last Updated :2025/12/05

devil's staircase

Noun
informal
Japanese Meaning
数学において、devil's staircase(悪魔の階段)とは、カントール関数の同義語であり、単調増加するが、ある区間で定常値をとるなど特殊な性質を持つ関数を指します。
What is this buttons?

フラクタルを学ぶ際、教授はカントール関数が区間では定数である一方で、測度ゼロの集合上でのみ増加するという特異な単調増加関数であると説明した。

plural

Quizzes for review

(mathematics, informal) Synonym of Cantor function; a type of monotonic increasing function.

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devil's staircase

When studying fractals, the professor explained how the devil's staircase is a peculiar increasing function that is constant on intervals yet increases only on a set of measure zero.

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When studying fractals, the professor explained how the devil's staircase is a peculiar increasing function that is constant on intervals yet increases only on a set of measure zero.

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