Algorithm for reconstruction of the elastic constants of an anisotropic layer lying in an isotropic horizontally stratified medium.
Karchevsky, A.L. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Karchevsky, A.L. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Nazarov, S. A. (2000)
Sibirskij Matematicheskij Zhurnal
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Duque, Cosme, Lizana, Marcos, Uzcátegui, Jahnett (2008)
Divulgaciones Matemáticas
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Stanković, B. (2003)
Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
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A. Katok, A. Mezhirov (1998)
Fundamenta Mathematicae
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Let f be a continuous map of the circle or the interval I into itself, piecewise , piecewise monotone with finitely many intervals of monotonicity and having positive entropy h. For any ε > 0 we prove the existence of at least periodic points of period with large derivative along the period, for some subsequence of natural numbers. For a strictly monotone map f without critical points we show the existence of at least such points.
Ramez Sami (1999)
Fundamenta Mathematicae
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We prove the following theorem: Given a⊆ω and , if for some and all u ∈ WO of length η, a is , then a is . We use this result to give a new, forcing-free, proof of Leo Harrington’s theorem: -Turing-determinacy implies the existence of .
Marija Kujumdzieva-Nikoloska, Jordanka Mitevska (2005)
Kragujevac Journal of Mathematics
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Romanov, V.G. (2008)
Sibirskij Matematicheskij Zhurnal
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Sazhenkov, S.A. (2001)
Sibirskij Matematicheskij Zhurnal
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Michał Morayne (1995)
Fundamenta Mathematicae
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Let Z be an uncountable Polish space. It is a classical result that if I ⊆ ℝ is any interval (proper or not), f: I → ℝ and then f ○ g ∈ for every if and only if f is continuous on I, where stands for the αth class in Baire’s classification of Borel measurable functions. We shall prove that for the classes in Sierpiński’s classification of Borel measurable functions the analogous result holds where the condition that f is continuous is replaced by the condition that f is locally...
Boban Veličković (1999)
Fundamenta Mathematicae
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Using Tsirelson’s well-known example of a Banach space which does not contain a copy of or , for p ≥ 1, we construct a simple Borel ideal such that the Borel cardinalities of the quotient spaces and are incomparable, where is the summable ideal of all sets A ⊆ ℕ such that . This disproves a “trichotomy” conjecture for Borel ideals proposed by Kechris and Mazur.