On the critical pair theory in ℤ/pℤ
Yahya Ould Hamidoune, Oriol Serra, Gilles Zémor (2006)
Acta Arithmetica
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Yahya Ould Hamidoune, Oriol Serra, Gilles Zémor (2006)
Acta Arithmetica
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Yahya Ould Hamidoune (2011)
Acta Arithmetica
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Abstract and Applied Analysis
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Janusz Gwoździewicz, Maciej Sękalski (2004)
Annales Polonici Mathematici
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We construct a polynomial f:ℂ² → ℂ of degree 4k+2 with no critical points in ℂ² and with 2k critical values at infinity.
Li, Shujie, Su, Jiabao (1996)
Abstract and Applied Analysis
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Jürg Fröhlich, Thomas Spencer (1982)
Recherche Coopérative sur Programme n°25
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Cicortaş, Graţiela (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Halidias, N. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Zheng, Bo, Xiao, Huafeng, Shi, Haiping (2011)
Boundary Value Problems [electronic only]
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Acta Universitatis Carolinae. Mathematica et Physica
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Tero Harju, Dirk Nowotka (2010)
RAIRO - Theoretical Informatics and Applications
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We investigate the density of critical factorizations of infinite sequences of words. The density of critical factorizations of a word is the ratio between the number of positions that permit a critical factorization, and the number of all positions of a word. We give a short proof of the Critical Factorization Theorem and show that the maximal number of noncritical positions of a word between two critical ones is less than the period of that word. Therefore, we consider only...