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Wyświetlanie pozycji 94-113 z 122
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Rational constants of cyclotomic derivations
(Łódź University Press, 2017) -
Rationality of semialgebraic functions
(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 ... -
Real Nullstellensatz and sums of squares
(Wydawnictwo Uniwersytetu Łódzkiego, 2022)In this paper we highlight the foundational principles of sums of squares in the study of Real Algebraic Geometry. To this aim the article is designed as mainly a self-contained presentation of a variation of the standard ... -
Realizability of some Böröoczky arrangements over the rational numbers
(Wydawnictwo Uniwersytetu Łódzkiego, 2022)In this paper, we study the parameter spaces for Böröoczky arrangements Bn of n lines, where n < 12. We prove that up to n = 12, there exist only one arrangement nonrealizable over the rational numbers, that is B11. -
Rings and fields of constants of cyclic factorizable derivations
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)We present a survey of the research on rings of polynomial constants and fields of rational constants of cyclic factorizable derivations in polynomial rings over fields of characteristic zero. -
Rings of constants of polynomial derivations and p-bases
(Wydawnictwo Uniwersytetu Łódzkiego, 2013)We present a survey of results concerning p-bases of rings of constants with respect to polynomial derivations in characteristic p > 0. We discuss characterizations of rings of constants, properties of their generators and ... -
Some notes on the Lê numbers in the family of line singularities
(Wydawnictwo Uniwersytetu Łódzkiego, 2022)W pracy wprowadzamy skoki liczb Le nieizolowanych osobliwości hiperpowierzchni w rodzinie deformacji o jednowymiarowym, gładkim zbiorze punktów krytycznych. Co więcej, udowadniamy istnienie deformacji takiej, że pierwsza ... -
Stability Aspects of the Jensen-Hosszú Equation
(Wydawnictwo Uniwersytetu Łódzkiego, 2013) -
Tadeusz Krasiński – Scientific biography
(Wydawnictwo Uniwersytetu Łódzkiego, 2019) -
Tadeusz Winiarski – Scientific biography
(Wydawnictwo Uniwersytetu Łódzkiego, 2022)This volume (the fourth in the series) is dedicated to two mathematicians: Wojciech Kucharz, who celebrates 70th anniversary in 2022 and Tadeusz Winiarski who celebrated the 80th anniversary in 2020. These people were ... -
The Cauchy-Kowalevski Theorem
(Łódź University Press, 2017)We give a recursive description of polynomials with non-negative rational coefficients, which are coefficients of expansion in a power series solutions of partial differential equations in Cauchy-Kowalevski theorem. -
The jump of Milnor numbers in families of non-degenerate and non-convenient singularities
(Wydawnictwo Uniwersytetu Łódzkiego, 2013)The non-degenerate jump of the Milnor number of an isolated singularity f0 is the minimal non-zero difference between the Milnor numbers of f0 and one of its non-degenerate deformations (fs). In the paper the results by ... -
The legacy of Professor Jan Stanisław Lipiński for the sake of the development of mathematics in Gdańsk (1969 –1998)
(Wydawnictwo Uniwersytetu Łódzkiego, 2013) -
The Scientific Family of Professor Jan Lipiński
(Wydawnictwo Uniwersytetu Łódzkiego, 2013) -
The Łojasiewicz exponent via the valuative Hamburger-Noether process
(Łódź University Press, 2017)Let k be an algebraically closed field of any characteristic. We apply the Hamburger-Noether process of successive quadratic transformations to show the equivalence of two definitions of the Łojasiewicz exponent £ (a) of ... -
Topological and algebraic aspects of subsums of series
(Wydawnictwo Uniwersytetu Łódzkiego, 2013) -
Topological similarity of functions
(Wydawnictwo Uniwersytetu Łódzkiego, 2015) -
Trudności w pracy nauczyciela matematyki
(Wydawnictwo Uniwersytetu Łódzkiego, 2014) -
Vector bundles and blowups
(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 ... -
Weak convergence with respect to category
(Wydawnictwo Uniwersytetu Łódzkiego, 2015)