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Wyświetlanie pozycji 21-30 z 180
Bézout’s inequality for real polynomials
(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.
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 ...
Divergence-free polynomial derivations
(Łódź University Press, 2017)
In this paper we present some new and old properties of divergences and divergence-free derivations.
Geometric desingularization of curves in manifolds
(Wydawnictwo Uniwersytetu Łódzkiego, 2013)
Wielomiany i szeregi potęgowe
(Łódź University Press, 2017)
Formal and convergent solutions of analytic equations
(Łódź University Press, 2017)
We provide the detailed proof of a sharpened version of the
M. Artin Approximation Theorem.
On a generic symmetry defect hypersurface
(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 ...
Polynomials and power series
(Łódź University Press, 2017)
Rational constants of cyclotomic derivations
(Łódź University Press, 2017)
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 ...