Czasopisma Naukowe: Recent submissions
Wyświetlanie pozycji 701-720 z 8723
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Some properties of analytic sets with proper projections
(2010)We give an affective criterion when an analytic set with proper projection is algebraic. We take an ideal of polynomials vanishing on the set then we construct a polydisc convenient for reduction. If this polydisc is ... -
On systems of equations with unknown multifunctions related to the plurality function
(2010)Let $T$ be a nonempty set. Inspired by a problem posed by Z. Moszner in [10] we investigate for which additional assumptions put on multifunctions $Z(t):T → 2^{ℝ(m)}$, which fulfil condition \[ ⋃_{t ∈ T} Z(t)=ℝ(m)\], and ... -
Boundary value problems with shift for generalized analytic vectors
(2010)This paper is a survey of the most important work of the well-known Georgian mathematician Professor Giorgi Manjavidze “Boundary value problems for analytic and generalized analytic functions”. Here we present his original ... -
Boundary value problems for a second-order elliptic equation in unbounded domains
(2010)We investigate the behaviour of weak solutions to the boundary value problems for the second order elliptic linear equation in a neighborhood of innity. The exponent of the decreasing rate of solutions at innity has been ... -
On asymptotic cyclic contractions
(2010)We introduce asymptotic cyclic contractions as a generalization of cyclic contractions and this new type of mappings is considered under the recently introduced property UC for pairs of subsets of metric spaces. We show ... -
On Schwarz-type boundary-value problems of polyanalytic equation on a triangle
(2010)We will consider the Schwarz-type boundary-value problems (BVPs) of the polyanalytic equation on an isosceles orthogonal triangle. In contrast to [1], the expression of its unique solution are explicitly obtained by the ... -
On the hat problem, its variations, and their applications
(2010)The topic of our paper is the hat problem in which each of n players is randomly fitted with a blue or red hat. Then everybody can try to guess simultaneously his own hat color by looking at the hat colors of the other ... -
On a generalization of the Popoviciu equation on groups
(2010)We determine a general solution of the Popoviciu type functional equation on groups. -
Unstable (Stable) system of stable (unstable) functional equations
(2010)In this note the answer to a question by Z. Moszner from the paper [1] about connections of stability of separate equations and the system of them, is given. -
Global aspects of the geometry of surfaces
(2010)Several open problems related to the behavior of the monoid of effective divisors and the nef cone for smooth projective surfaces over an algebraically closed field are discussed, motivating and putting into historical ... -
Annales Universitatis Paedagogicae Cracoviensis. 84. Studia Mathematica 9
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2010) -
Преемственность в формировании математической культуры учителя через всю жизнь
(2010)The articles discusses the necessity to improve, during the process of lifelong learning, professional qualifications and mathematical culture of mathematics teachers. The conclusions are based on both the Polish and ... -
Przyczynek do badań nad przygotowaniem absolwentów szkół ponadgimnazjalnych do studiowania matematyki na Uniwersytecie Pedagogicznym w Krakowie
(2010)In this paper we describe mathematical preparation of students commencing mathematical studies at the Pedagogical University in the academc year 2005/06. We discuss interests and motivations to study (paragraph 3). The ... -
Matematyzacja, modelowanie, model
(2010)This article presents conclusions concerning mathematization, which is a very vital mathematical activity, as well as conclusions concerning modelling and a model, including a mathematical model. Mathematical models are ... -
Wokół twierdzenia Picka
(2010)The article concerns the phenomena connected with the Pick theory and its generalizations. It is divided into two parts. The first one includes the reflection on the part of research, during which a group of students was ... -
Umiejętność matematycznego uogólniania wśród nauczycieli i studentów matematyki specjalności nauczycielskiej (na przykładzie serii zadań "schodki")
(2010)Generalizations are very common in mathematics. A generalization may be a process (mathematical activity) and a product in the form of mathematical concepts, tasks, theorems, hypotheses, methods of reasoning and argumentation. ... -
Tożsamości dla uogólnionych symboli Newtona
(2010)In the present work the coefficients of the polynomial $(1 + z +z^2 + ... + z^{μ-1})^n$ are studied. They may be treated as a generalization of the binomial coefficients. Numerous identities for these coefficients are ... -
O średnich
(2010)This paper presents a structural approach to widely known numerical averages. Several equivalent conditions for a sequence to be an arithmetic sequence are formulated and prooved. Further, these conditions, expressed by ... -
Kilka uwag na temat liczb Fermata $F_5$ i $F_6$
(2010)In this paper we give the necessary and sufficient conditions for the number of the form $d = k.2^7 + 1$ and $d = k.2^8 + 1$ to be divisors of the Fermat numbers $F_5$ and $F_6$, respectively. Moreover, we present numerous ... -
Propozycja wykładu na temat argumentu głównego liczb zespolonych
(2010)This article deals with some theorems on the principal argument of complex numbers. This paper is a framework of the lecture on the argument of complex numbers. Moreover, it presents some remarks on the formula which is ...