Studia Mathematica: Recent submissions
Now showing items 121-140 of 206
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Abstract Lie groups and locally compact topological groups
(2004)We introduce a notion of abstract Lie group by means of the mapping which plays the role of the evolution operator. We show some basic properties of such groups very similar to the fundamentals of the infinite dimensional ... -
Higher order jet prolongations type gauge natural bundles over vector bundles
(2004)Let $r ≥ 3$ and $m ≥ 2$ be natural numbers and $E$ be a vector bundle with $m$-dimensional basis. We find all gauge natural bundles "similar" to the $r$-jet prolongation bundle $J^r$ $E$ of $E$. We also find all gauge ... -
On the rate of convergence theorem for the alternate Poisson integrals for Hermite and Laguerre expansions
(2004)The aim of this paper is the study of a rate of convergence of alternate Poisson integrals for Hermite and Laguerre expansions. We state some estimates of the rate of convergence of these integrals using the classical ... -
Locally conformal symplectic structures and their generalizations from the point of view of Lie algebroids
(2004)We study locally conformal symplectic structures and their generalizations from the point of view of transitive Lie algebroids. To consider l.c.s. structures and their generalizations we use Lie algebroids with trivial ... -
On conformally symmetric warped products
(2004)We prove the necessary and sufficient conditions for a warped product manifold to be conformally symmetric. Basing on these results we give two examples of such warped products. -
On the differential first-order invariants for the non-splitting subgroups of the generalized Poincare group P(1,4)
(2004)The functional bases of the differential first-order invariants for all non-splitting subgroups of the generalized Poincaré group P(1, 4) are constructed. Some applications of the results obtained are considered. -
Underlying functors on fibered manifolds
(2004)For a product preserving bundle functor on the category of fibered manifolds we describe subordinated functors and we introduce the concept of the underlying functor. We also show that there is an affine bundle structure ... -
Curvature properties of some submanifolds in space forms
(2004)Curvature properties of pseudosymmetry type of some submanifolds of codimension greater then 1 immersed isometrically in semi-Riemannian spaces of constant curvature are given. -
On some functional equations related to Steffensen's inequality
(2004)We consider the problem, proposed by the second author (cf. [1]) of solving functional equations stemming from the Steffensen integral inequality (S), which is applicable in actuarial problems, cf. [4]. Imposing some ... -
Functorial prolongations of some functional bundles
(2004)We discuss two kinds of functorial prolongations of the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base. We study the prolongation of vector ... -
Strong maximum principles for implicit parabolic functional-differential problems together with initial inequalities
(2004)The aim of the paper is to give strong maximum principles for implicit non-linear parabolic functional-differential problems together with initial inequalities in relatively arbitrary (n+1)-dimensional time - space sets ... -
Annales Academiae Paedagogicae Cracoviensis. 23. Studia Mathematica 4
(Wydawnictwo Naukowe Akademii Pedagogicznej, Kraków, 2004) -
Selected aims of teaching mathematics and the problem-solving process
(2003)The contribution will present a study, which was meant as an attempt to diagnose the realization of those aims of teaching mathematics that assume modeling active attitudes and behaviors of students during the process of ... -
The efficiency of mathematics teaching and integrated instruction at the primary level
(2003)The mathematical education in primary school is the foundation and the beginning of further learning of mathematics. A research work on the efficiency of mathematical education in early classes of primary school was done ... -
The systematical construction of aims in mathematical education
(2003)In education there are two elementary systems: the students and society, and one auxiliary, intermediary system: the teacher. The construction of aims in mathematical instruction requires previous description of the most ... -
The optimal strategy in one stochastic game
(2003)The article deals with the stochastic game “Portion on three fractions” . The optimal solution in this game is investigated. -
Generalized Erlang problem for queueing systems with accumulation
(2003)We consider a non-classical $M/G/n/0$ type queueing system with random volume demands. Each demand requires $m$ servers for its simultaneous service with probability $q_m, Σ^n_{m=1} q_m = 1$. Service time of the demand ...