the aim of this study was to analyze the association between overweight prevalence and socioeconomic status (ses) measured by complex ses index and single ses factors in polish adolescents in respect to age and sex.this cross-sectional study was conducted in 2010-2011. a total of 1,176 adolescents aged 13.0-18.9 years were included. the respondents were students of junior-high and high schools ...

Applications of the Covering Property Axiom Andrés Millán Millán The purpose of this work is two-fold. First, we present some consequences of the Covering Property Axiom CPA of Ciesielski and Pawlikowski which captures the combinatorial core of the Sacks’ model of the set theory. Second, we discuss the assumptions in the formulation of different versions of CPA. As our first application of CPA ...

Answering a question of J. Lawson (formulated also earlier, in 1984, by Kamimura and Tang [Theoret. Comput. Sci. 34 (1984) 275–288]) we show that every Polish space admits a bounded complete computational model, as defined below. This results from our construction, in each Polish space 〈X,τ 〉, of a countable family C of non-empty closed subsets of X such that: (cp) each subset of C with the fin...

In recent work the author proposed a reformed notion of stochastic processes, which in particular removes notorious problems with uncountable time domains. In case of a Polish state space the new stochastic processes are in one-to-one correspondence with the traditional ones. This implies for a stochastic process that the traditional canonical measure on the path space receives a certain distin...

Large Deviations is a branch of probability theory that deals with rare events. It is a very active field with applications to several areas including statistics, communication networks, computing, statistical physics, and mathematical finance. (For an example of a rare event, consider the problem of species sampling: suppose that one wishes to determine the species of fish native to a body of ...

We investigate the existence of well-ordered sequences of Baire 1 functions on separable metric spaces. Any set F of real valued functions defined on an arbitrary set X is partially ordered by the pointwise order, that is f ≤ g iff f(x) ≤ g(x) for all x ∈ X. In other words put f < g iff f(x) ≤ g(x) for all x ∈ X and f(x) 6= g(x) for at least one x ∈ X. Our aim will be to investigate the possibl...

A = Γ\β<a {%x is an acculumation point of A and x e A}. Recall that a subset, H, of a Polish space is scattered if, and only if H is a countable Gδ set, or equivalently, there is a countable ordinal 7 such that the 7th Cantor-Bendixson derived set, H\ of H is empty [5]. By the Cantor-Bendixson order of a subset H of a topological space is meant the first ordinal 7 such that H = H. The Cantor-Be...

The study involved the analysis of Polish speech samples of 59 Polish-English bilingual children of Polish immigrants to the UK. It aimed to explore differences in phonological performance between these early bilinguals and their Polish monolingual peers. The data collection procedure involved a sentence repetition task. 14 preselected sentences from this task were subsequently analysed auditor...