Among the many characterizations of the class of Baire one, Darboux real-valued functions of one real variable, the 1907 characterization of Young and the 1997 characterization of Agronsky, Ceder, and Pearson are particularly intriguing in that they yield interesting classes of functions when interpreted in the two-variable setting. We examine the relationship between these two subclasses of the real-valued Baire one defined on the unit square.
According to Václav Havel’s famous essay The Power of powerless life within a lie is at the core of the communist regime in Czechoslovakia. Life within a lie is characteristic for the great majority of people and is contrasted with life within the truth which is characteristic of dissent movement. In this paper, I will try to shed some light on the concept of “living within a lie.” I will show that Havel develops not one but two concepts of a lie: on the one hand, lie is deliberate pretence; on the other hand, lie is seduction by consumerist values. The first meaning of a lie is derived from Havel’s analysis of the specifics of the Soviet sphere of influence, namely central role of ideology with omnipresent demands on public support of the regime. The second meaning of a lie is heavily influenced by a critical assessment of modern society from the leading figure of the Czech underground movement Ivan Jirous and leading Czech philosopher Jan Patočka. This double meaning of a lie enables Havel to capture both specific problems of living under the communist regime and general problems of living in modern society anywhere in the world. In the final chapters of this paper, I will show that Havel is not clear about how these two meanings of a lie are connected and that there are problems resulting from these unclarities both for Havel’s analysis of the communism and his proposed solution of the crisis.
We establish two new norm convergence theorems for Henstock-Kurzweil integrals. In particular, we provide a unified approach for extending several results of R. P. Boas and P. Heywood from one-dimensional to multidimensional trigonometric series.
We prove an extension theorem for modular functions on arbitrary lattices and an extension theorem for measures on orthomodular lattices. The first is used to obtain a representation of modular vector-valued functions defined on complemented lattices by measures on Boolean algebras. With the aid of this representation theorem we transfer control measure theorems, Vitali-Hahn-Saks and Nikodým theorems and the Liapunoff theorem about the range of measures to the setting of modular functions on complemented lattices.
Let SP be the set of upper strongly porous at 0 subsets of \mathbb{R}^{+} and let Î(SP) be the intersection of maximal ideals I\subseteq SP. Some characteristic properties of sets E \in Î(SP) are obtained. We also find a characteristic property of the intersection of all maximal ideals contained in a given set which is closed under subsets. It is shown that the ideal generated by the so-called completely strongly porous at 0 subsets of \mathbb{R}^{+} is a proper subideal of Î(SP). Earlier, completely strongly porous sets and some of their properties were studied in the paper V.Bilet, O.Dovgoshey (2013/2014)., Viktoriia Bilet, Oleksiy Dovgoshey, Jürgen Prestin., and Obsahuje seznam literatury
Let $q$ be a positive integer, $\chi $ denote any Dirichlet character $\mod q$. For any integer $m$ with $(m, q)=1$, we define a sum $C(\chi, k, m; q)$ analogous to high-dimensional Kloosterman sums as follows: $$ C(\chi, k, m; q)=\sum _{a_1=1}^{q}{}' \sum _{a_2=1}^{q}{}' \cdots \sum _{a_k=1}^{q}{}' \chi (a_1+a_2+\cdots +a_k+m\overline {a_1a_2\cdots a_k}), $$ where $a\cdot \overline {a}\equiv 1\bmod q$. The main purpose of this paper is to use elementary methods and properties of Gauss sums to study the computational problem of the absolute value $|C(\chi, k, m; q)|$, and give two interesting identities for it.
Two original electrical methods of dikes monitoring (temperature scalar field and electrical impedance spectrometry) are described in detail. Using these methods, the non-stationary movement of the free water level in the dike can be indicated. The methods also enable to detect the piping in the dike due to the activity of animals. Some results are shown and discussed. and V příspěvku jsou uvedeny dvě neinvazivní metody (metoda měření teplotního skalárního pole a elektrické impedanční spektrometrie), které byly laboratorně ověřeny při monitorování nestacionárního pohybu volné hladiny vody v ochranných hrázích. Tyto metody navržené a ověřené autory příspěvku rovněž umožňují detekovat objemové změny (velikost nádrže při přelití koruny hráze, působení drobných živočichů apod.) konstrukce ochranné hráze. Některé ze získaných výsledků jsou zde uvedeny a diskutovány.
Archaeometallographic data suggest that there were two technological models in Eastern Europe as early as the Bronze Age–Early Iron Age transition period (9th–7th centuries BC). We link their development to two routes via which knowledge of use of ferrous metals diffused from Anatolia. The first route reached the North Caucasus, the second route passed through Greece and the Balkans to Central and Eastern Europe. and Archeometalografická data naznačují, že již v přechodu mezi dobou bronzovou a ranou dobou železnou (9.–7. stol. př. n. l.) existovaly ve východní Evropě dva technologické modely zpracování železa. Jejich rozvoj spojujeme se dvěma trasami, kterými se znalosti užívání železných kovů z Anatolie rozšířily. První trasa překročila Zakavkazsko, druhá trasa vedla přes Řecko a Balkán do střední a východní Evropy.
Bilingualism has been associated with changes in our language-related and domain-general cognition. However, it remains controversial whether bilingualism-related cognitive effects are robust and stable. Also, it is still unclear which aspects of bilingual experiences affect the plasticity of cognitive processes. This article offers a selective overview of the literature on bilingualism and cognition. We discuss results from studies which investigated the sources of cognitive plasticity in bilinguals, using prominent bilingual factors. We argue that, at least in part, the field deals with the controversies by viewing bilingualism through the perspective of usage-based (or experience-based) approaches, although such a link is not always made explicitly. Viewing bilingual variables as indicators of language use and engagement with both languages might offer promising ways forward while allowing for comparisons of existing studies on bilingualism with more recent ones, which build on the usage-based perspective more explicitly. and Bilingvismus je spojován se změnami v kognitivních procesech, a to jak v procesech zodpovědných za jazykové zpracování, tak v doménově obecné kognici. Zůstává však předmětem diskuse, jak silné a stabilní účinky bilingvismu na kognici jsou. Rovněž zůstává nejasné, jaké aspekty bilingvismu jsou primárním zdrojem plasticity kognitivních procesů. Tento článek nabízí výběrový přehled literatury o bilingvismu a kognici a rozebírá existující studie zkoumající zdroje kognitivní plasticity u bilingvních mluvčích z pohledu usage-based přístupů. Zaměřujeme se na roli prominentních bilingvních faktorů, jakými jsou úroveň znalosti jazyka, věk osvojování jazyka, míra střídání kódů, ale také proporcionalita používání jazyků. Tvrdíme, že literatura o vlivu dvojjazyčnosti na kognici se z části vypořádává s kontroverzemi tím, že nahlíží na bilingvismus perspektivou usage-based přístupů, i když spojení s tímto vědeckým rámcem není vždy výslovně zmiňováno. Zasazení bilingvních faktorů do kontextu usage-based přístupů může nabídnout slibné cesty vpřed a zároveň umožnit srovnání stávajících studií o bilingvismu s novějšími studiemi, které jsou ukotveny v usage-based perspektivě explicitněji.