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Ułamki algebraiczne i funkcje wymierne
(2009)
The subject-matter of this article can be divided into three main
parts. The first one includes the theoretical problems concerning the fields
of algebraic fractions and rational functions. In the second part we deal
with ...
Wprowadzenie funkcji trygonometrycznych przez szeregi Eisensteina
(2009)
In the paper we describe how to introduce the trigonometric functions using their functional characteristics and the Eisenstein series.
Annales Universitatis Paedagogicae Cracoviensis. 65. Studia ad Didacticam Mathematicae Pertinentia 2
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2009)
Komputer jako narzędzie badania sytuacji zadaniowej w długoterminowej pracy domowej ucznia
(2009)
In the article I submit a fragment of my research carried out in
2004-2007, which was connected with the role of mathematical computer
programs in the independent extracurricular work of the pupil. These
examinations ...
Regulated functions and integrability
(2009)
Properties of functions defined on a bounded closed interval, weaker than continuity, have been considered by many
mathematicians. Functions having both sides limits at each point are called regulated and were considered ...
Explicit solution of a class of Riemann-Hilbert problems
(2009)
Analytical solutions to a special class of Riemann-Hilbert boundary value problems on multiply connected domains are presented.
The solutions are expressed, up to a finite number of accessory parameters, as non-singular ...
On a multivalued second order differential problem with Jensen multifunction
(2009)
The aim of this paper is to present a generalization of the results published in [5] and [8] for continuous Jensen multifunctions. In
particular, we study a second order differential problem for multifunctions with the ...
Annales Universitatis Paedagogicae Cracoviensis. 70. Studia Mathematica 8
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2009)
Bounding symbolic powers via asymptotic multiplier ideals
(2009)
We revisit a bound on symbolic powers found by Ein-Lazarsfeld-Smith and subsequently improved by Takagi-Yoshida. We show
that the original argument of [6] actually gives the same improvement. On the other hand, we show ...