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单词 Sturmian
释义

Sturmian

英语百科

Sturmian word

(重定向自Sturmian)
The Fibonacci word is an example of a Sturmian word. The start of the cutting sequence shown here illustrates the start of the word 0100101001.
Enlarge for animation showing the Sturmian sequence generated by an irrational rotation with θ≈0.2882 and x≈0.0789

In mathematics, a Sturmian word (Sturmian sequence or billiard sequence), named after Jacques Charles François Sturm, is a certain kind of infinitely long sequence of characters. Such a sequence can be generated by considering a game of English billiards on a square table. The struck ball will successively hit the vertical and horizontal edges labelled 0 and 1 generating a sequence of letters. This sequence is a Sturmian word.

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更新时间:2025/6/19 16:49:25