Wydział Matematyki i Informatyki | Faculty of Mathematics and Computer Science: Recent submissions
Now showing items 101-120 of 187
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Path continuity connected with density and porosity
(Wydawnictwo Uniwersytetu Łódzkiego, 2015) -
Generalized (topological) metric space. From nowhere density to infinite games
(Wydawnictwo Uniwersytetu Łódzkiego, 2015) -
On fields inspired with the polar HSV - RGB theory of Colour
(Wydawnictwo Uniwersytetu Łódzkiego, 2015) -
On equivalence of topological and restrictional continuity
(Wydawnictwo Uniwersytetu Łódzkiego, 2015) -
Continuity connected with ψ-density
(Wydawnictwo Uniwersytetu Łódzkiego, 2015) -
Convolution operators on some spaces of functions and distributions in the theory of circuits
(Wydawnictwo Uniwersytetu Łódzkiego, 2015) -
Quasicontinuous functions with small set of discontinuity points
(Wydawnictwo Uniwersytetu Łódzkiego, 2015) -
Preface
(2015) -
Best Proximity Point Theorem in Quasi-Pseudometric Spaces
(Hindawi, 2016)In quasi-pseudometric spaces (not necessarily sequentially complete), we continue the research on the quasi-generalized pseudodistances. We introduce the concepts of semiquasiclosed map and contraction of Nadler type with ... -
Wykładnik Łojasiewicza zbiorów i odwzorowań semialgebraicznych
(2018)W rozprawie doktorskiej podajemy efektywne oszacowanie z góry lokalnego wykładnika Łojasiewicza dla separacji regularnej zbiorów semialgebraicznych oraz dla odwzorowań semialgebraicznych na domkniętych zbiorach semialgebraicznych. ... -
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. -
Łojasiewicz exponent of overdetermined semialgebraic mappings
(Łódź University Press, 2017)We prove that both local and global Łojasiewicz exponent of a continuous overdetermined semialgebraic mapping F : X → Rᵐ on a closed semialgebraic set X ⊂ Rⁿ (i.e. m > dimX) are equal to the Łojasiewicz exponent of the ... -
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. -
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. -
Divergence-free polynomial derivations
(Łódź University Press, 2017)In this paper we present some new and old properties of divergences and divergence-free derivations. -
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 ... -
A note on square-free factorizations
(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). -
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 ... -
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 ...
