: We construct bijections between certain energetically favorable resonance-like structures in several classes of benzenoid compounds and some well- known combinatorial structures enumerated by Catalan and related numbers. In that way we derive explicit formulas for the n umber of such structures in the considered classes of compounds. We also list some open problems and indicate some possible d irections for future research.
We introduce non-Abelian Kuramoto model on \begin{document}$ S^3 $\end{document} in the most general form. Following an analogy with the classical Kuramoto model (on the circle \begin{document}$ S^1 $\end{document} ), we study some interesting variations of the model on \begin{document}$ S^3 $\end{document} that are obtained for particular coupling functions. As a partial case, by choosing "standard" coupling function one obtains a previously known model, that is referred to as Kuramoto-Lohe model on \begin{document}$ S^3 $\end{document} . We briefly address two particular models: Kuramoto models on \begin{document}$ S^3 $\end{document} with frustration and with external forcing. These models on higher dimensional manifolds have not been studied so far. By choosing suitable values of parameters we observe different nontrivial dynamical regimes even in the simplest setup of globally coupled homogeneous population. Although non-Abelian Kuramoto models can be introduced on various symmetric spaces, we restrict our analysis to the case when underlying manifold is the 3-sphere. Due to geometric and algebraic properties of this specific manifold, variations of this model are meaningful and geometrically well justified.
Extracurricular activities as a variety of organizational forms of students gathering in free extracurricular time at elementary school have predominantly cultural, artistic, sporting, technical, recreational or scientific character (Cindrić, 1992). Through them, students meet their needs and develop the culture of using their leisure time. Thanks to its pedagogic potential, chess is increasingly used as an educational tool and taught in elementary schools around the world. This trend begins to follow Croatia, where chess in many schools is carried out as an extracurricular and/or extracurricular activity. In this paper we will present and analyze the advantages that chess has for the elementary school students and empirically determine the occurrence of chess as an extracurricular activity in the schools in the City of Zagreb. Also, based on the results of the qualitative research, the views of the chess teachers regarding advantages of chess implementation, ways of determining the interests of students, and teaching methods used in chess teaching will be presented.
Izvannastavne aktivnosti kao različiti organizacijski oblici okupljanja učenika u slobodno izvannastavno vrijeme u školi imaju pretežito kulturnoumjetničko, športsko, tehničko, rekreacijsko ili znanstveno obilježje (Cindrić, 1992). Kroz njih učenici zadovoljavaju svoje potrebe i razvijaju kulturu korištenja slobodnog vremena. Zahvaljujući svom pedagoškom potencijalu, šah se sve više implementira u kurikulume škola i poučava na svim razinama obrazovanja. Ovaj trend počinje pratiti i Hrvatska, u kojoj se šah u mnogo škola provodi kao izvannastavna i/ili izvanškolska aktivnost. U ovome radu prikazat će se i analizirati prednosti koje bavljenje šahom ima za učenike osnovnih škola te će se empirijskim istraživanjam utvrditi pojavnost izvannastavne aktivnosti šaha u školama Grada Zagreba. Temeljem rezultata kvalitativnog istraživanja prikazat će se stavovi voditelja šaha kao izvannastavne aktivnosti o prednostima njegove implementacije, načinima utvrđivanja interesa te o načinima rada voditelja i polaznika/učenika.
The influence of German language onto Croatian language has been going on for centuries. It was most intensive during the 19th century. Therefore we can find German loanwords all over Croatia. The focus of the research is put onto the presence of German loanwords in the carnival newspapers of Sinj in the time span from 1929 till 2015. The German loanword is presented in context in a corpus, contrastively analysed on the semantic level in the process of secondary adaptation, ie. the extention of meaning in a number and in a field.
The minimum wage, as a labour market policy with distributive impact, is widely debated in Bosnia and Herzegovina (BiH). This paper estimates the effect of increasing the minimum wage on poverty and income inequality in BiH, providing the first empirical evidence on the minimum wage in the country. Using data from the Household Budget Survey (HBS) for 2015, the effects of four changes (two per entity) in the minimum wage were simulated using the microsimulation model BiHMOD. First, the effect of the latest changes implemented in the previous period was calculated using the previous minimum wage level as the baseline. Second, the effect of recently proposed changes was simulated using the current level as the baseline. The findings suggest that increasing the minimum wage in BiH has a significant positive effect on poverty reduction, but a limited effect on the level of income inequality. The estimated effects were also calculated for different types of households. The results suggest that a single policy may have unexpected effects if other policies are not taken into account and harmonized accordingly. The findings provide empirical evidence for decision-makers and future policy debate, which is generally missing for this and similar policy issues in BiH.
Lyotardova reinterpretacija Kantove estetike uzvišenoga kao strategije koja učinkovito prevladava samosvrhovitost modernih formi provocira suvremenost više nego ikada. Kako iskazati neiskazivo – postaje ujedno i lozinka i opsesija postmoderne epohe. Nužno je pronaći vezu između načelne ravnodušnosti aktualne umjetničke prakse i sve razornijih upada u stvarnost koji se nastoje prikazati kao uzvišena strategija. Ovaj je rad posvećen usporedbi i analizi posebnih načina umjetničke reprezentacije postupaka i motiva koji pripadaju sferi kolektivnoga i, stoga, sublimnoga interesa. Od Swiftowe polemike i satire, De Quinceyjeve ironije, do traktata, manifesta, proglasa i prijenosa uživo masovnih ubojica današnjice, rad problematizira kako se demijurški naboj modernizma istovremeno troši u brojnim formalnim distancama izgrađenima spram svijeta i nebrojenim subjektivističkim uplitanjima u svijet. Ključne riječi: diskurs; moderna; postmoderna; praksa; teorija
Jedan od vijećnika Trećeg zasjedanja ZAVNOBiH-a (26, 27. i 28. april 1945, Sarajevo) koji je učestvovao u pripremi i radu i prethodna dva, u Mrkonjić Gradu (1943) i Sanskom Mostu (1944), bio je Avdo Humo, književnik iz Mostara, ilegalac i profesionalni revolucionar. Donosimo ključne biografske podatke Avde Hume, hronološki ukazujući gdje je i kada ovaj istaknuti intelektualac i političar bio angažiran. Još kao student Beogradskog univerziteta Humo postaje aktivan član, tada ilegalne Komunističke partije Jugoslavije (KPJ), a tokom Drugog svjetskog rata bio je organizator i učesnik antifašističkog otpora. Imao je veliku zaslugu u sazrijevanju ideje o posebnosti tj. priznanju Bosne i Hercegovine kao jedne od šest ravnopravnih republika u Federativnoj Jugoslaviji. Poslije rata obnašao je brojne političke i društvene funkcije, kako u Republici tako i u saveznom centru. Međutim, u kontekstu snažnog vala tzv. samokritike unutar Saveza komunista Jugoslavije (SKJ) početkom 1970-ih godina, rekonstrukcije republičkih rukovodstava, smjene tzv. proljećara i liberala i značajne restaljinizacije sistema, Avdo Humo je politički marginaliziran i moralno diskvalificiran. U ovom radu posvetili smo posebnu pažnju partijskom razlazu s Humom. Koristeći građu Arhiva Bosne i Hercegovine, ličnog fonda Avde Hume kao i objavljene radove nešto podrobnije smo se osvrnuli na njegovu glasnu kritiku, ukazali na pitanja koja je, u kontekstu permanentne promjene, smatrao izuzetno važnim za aktuelni proces razbijanja postojećeg federalnog centralizma i unitarizma.
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