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AuthorKrasinski, Tadeusz (6)Spodzieja, Stanisław (6)Abhyankar, Shreeram S. (3)Brzostowski, Szymon (2)Jelonek, Zbigniew (2)Kucharz, Wojciech (2)Kurdyka, Krzysztof (2)Nowicki, Andrzej (2)Płoski, Arkadiusz (2)Janeczko, Stanisław (1)... View MoreSubjectforward-backward diffusion (1)multivariate kurtosis (1)nonlinear coherent diffusion (1)speckle filtering (1)ultrasound images (1)... View MoreDate Issued
2017 (22)
Has File(s)
Yes (22)

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A note on square-free factorizations 

Jędrzejewicz, Piotr; Matysiak, Łukasz; Zieliński, Janusz (Łódź University Press, 2017)
We analyze properties of various square-free factorizations in greatest common divisor domains (GCD-domains) and domains satisfying the ascending chain condition for principal ideals (ACCP-domains).
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Vector bundles and blowups 

Jelonek, Zbigniew; Kucharz, Wojciech; Kurdyka, Krzysztof (Łódź University Press, 2017)
Let X be a nonsingular quasi-projective complex algebraic variety and let E be an algebraic vector bundle on X of rank r ≥ 2. The pullback of E by the blowup of X at a suitably chosen nonsingular subvariety of X of codimension ...
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Bézout’s inequality for real polynomials 

Płoski, Arkadiusz; Sękalski, Maciej (Łódź University Press, 2017)
Let F(X, Y ), G(X, Y ) be polynomials of degrees m, n > 0 respectively. We prove, that the set {(x, y) Є R² : F(x, y) = G(x, y) = 0} has at most mn connected components.
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Rationality of semialgebraic functions 

Kucharz, Wojciech; Kurdyka, Krzysztof (Łódź University Press, 2017)
Let X be an algebraic subset of Rⁿ, and ƒ: X → R a semialgebraic function. We prove that if ƒ is continuous rational on each curve C ⊂ X then: 1) ƒ is arc-analytic, 2) ƒ is continuous rational on X. As a consequence we ...
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Divergence-free polynomial derivations 

Nowicki, Andrzej (Łódź University Press, 2017)
In this paper we present some new and old properties of divergences and divergence-free derivations.
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Wielomiany i szeregi potęgowe 

Abhyankar, Shreeram S. (Łódź University Press, 2017)
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Formal and convergent solutions of analytic equations 

Płoski, Arkadiusz (Łódź University Press, 2017)
We provide the detailed proof of a sharpened version of the M. Artin Approximation Theorem.
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On a generic symmetry defect hypersurface 

Janeczko, Stanisław; Jelonek, Zbigniew; Soares Ruas, Maria Aparecida (Łódź University Press, 2017)
We show that symmetry defect hypersurfaces for two generic members of the irreducible algebraic family of n-dimensional smooth irreducible subvarieties in general position in C²ⁿ are homeomorphic and they have homeomorphic ...
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Polynomials and power series 

Abhyankar, Shreeram S. (Łódź University Press, 2017)
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Rational constants of cyclotomic derivations 

Moulin Ollagnier, Jean; Nowicki, Andrzej (Łódź University Press, 2017)
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University of Lodz Repository

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