On the superimposition of Christoffel words
نویسندگان
چکیده
منابع مشابه
On a generalization of Christoffel words: epichristoffel words
Sturmian sequences are well-known as the ones having minimal complexity over a 2-letter alphabet. They are also the balanced sequences over a 2-letter alphabet and the sequences describing discrete lines. They are famous and have been extensively studied since the 18th century. One of the generalization of these sequences are the episturmian sequences, introduced by A. de Luca [dL97a] and studi...
متن کاملChristoffel Words and the Calkin-Wilf Tree
In this note we present some results on the Calkin-Wilf tree of irreducible fractions, giving an insight on the duality relating it to the Stern-Brocot tree, and proving noncommutative versions of known results relating labels of the CalkinWilf trees to hyperbinary expansions of positive integers. The main tool is the Christoffel tree introduced in a paper by Berstel and de Luca.
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این تحقیق جهت بررسی تأثیر ترجمه در برابر ایجاد ارتباط بین لغات و ارائه معانی بر بازیابی واژگان در میان زبان آموزان متوسط ایرانی انجام شده است. به این منظور سه گروه کامل از دانش آموزان سطح متوسط که کتاب اینترچنج3 را مطالعه می کردند پس از انجام تست استاندارد مهارت سنجی انتخاب شدند. در ابتدا محقق آنها را به دو گروه آزمایشی و یک گروه کنترل یا شاهد تقسیم نمود و درمرحله بعد از کلیه دانش آموزان در سه ...
A d-dimensional extension of Christoffel words
In this article, we extend the definition of Christoffel words to directed subgraphs of the hypercubic lattice in arbitrary dimension that we call Christoffel graphs. Christoffel graphs when d = 2 correspond to well-known Christoffel words. Due to periodicity, the d-dimensional Christoffel graph can be embedded in a (d−1)-torus (a parallelogram when d = 3). We show that Christoffel graphs have ...
متن کاملOn an involution of Christoffel words and Sturmian morphisms
There is a natural involution on Christoffel words, originally studied by the second author in [dL2]. We show that it has several equivalent definitions: one of them uses the slope of the word, and changes the numerator and the denominator respectively in their inverses modulo the length; another one uses the cyclic graph allowing the construction of the word, by interpreting it in two ways (on...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2011
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2010.10.007