Local–Global Minimum Property in Unconstrained Minimization Problems

The main goal of this paper is to prove some new results and extend some earlier ones about functions, which possess the so called local-global minimum property. In the last section, we show an application of these in the theory of calculus of variations

Limit theorems for Bajraktarevi\'c and Cauchy quotient means of independent identically distributed random variables

We derive strong law of large numbers and central limit theorems for Bajraktarevi\'c, Gini and exponential- (also called Beta-type) and logarithmic Cauchy quotient means of independent identically distributed (i.i.d.) random variables. The exponential- and logarithmic Cauchy quotient means of a sequence of i.i.d. random variables behave asymptotically normal with the usual square root scaling just like the geometric means of the given random variables. Somewhat surprisingly, the multiplicative Cauchy quotient means of i.i.d. random variables behave asymptotically in a rather different way: in order to get a non-trivial normal limit distribution a time dependent centering is needed.Comment: 25 page

Kompetencije školskih ravnatelja: Primjer Republike Hrvatske

In the Republic of Croatia, being the principal of an educational institution is no longer just a function but a profession. Since 2021, the obligations and rights of principals of educational institutions derive from legal regulations, while the competencies of principals have been determined by the standard of occupation and the standard of qualification. This paper, on the basis of the Qualification and Occupational Standard - Principal of an Educational Institution, which determined the competencies of school principals of educational institutions, sought to determine the level of competencies of principals acquired through formal teacher education. Formal teacher education implies the acquisition of competencies for work in educational institutions. These competencies are acquired in the Republic of Croatia through teaching courses in graduate university studies. The survey method was used on 200 participants, primary and secondary school principals in the Republic of Croatia, to assess the level of acquired competencies, i.e., knowledge and skills, during such education that are applicable in the duties of principals. The surveyed principals expressed satisfaction with the competencies acquired in formal teacher education, especially those competencies that refer to the organizational management of the educational process and cooperation with parents and the external environment. However, the research identified groups of competencies that principals assess as insufficient. The obtained results indicate the need to implement additional training programs for principals that would enable them to acquire knowledge and skills that they have not acquired through formal education, that are crucial for the management of an educational institution.U Republici Hrvatskoj biti ravnatelj/ica odgojno-obrazovne ustanove nije više samo funkcija nego i zanimanje. Obveze i prava ravnatelja/ica odgojno-obrazovnih ustanova proizlaze iz zakonske regulative, dok su kompetencije ravnatelja od 2020. određene standardom zanimanja i standardom kvalifikacije. Ovim se radom na temelju Standarda zanimanja i Standarda kvalifikacije ravnatelja/ica odgojno-obrazovnih ustanova kojima su određene kompetencije ravnatelja/ica odgojno-obrazovnih ustanova želio utvrditi stupanj ravnateljskih kompetencija stečenih formalnim nastavničkim obrazovanjem. Formalno nastavničko obrazovanje podrazumijeva stjecanje kompetencija za rad u odgojno-obrazovnim ustanovama. Te se kompetencije u Republici Hrvatskoj stječu u okviru nastavničkih smjerova sveučilišnih diplomskih studija. Istraživanjem se procjenjivala razina stečenih kompetencija odnosno znanja i vještina tijekom takvog obrazovanja, a koja je primjenjiva u poslovima ravnatelja, a provedeno je metodom ankete na uzorku od 200 ravnatelja/ica osnovnih i srednjih škola u Republici Hrvatskoj. Anketirani ravnatelji/ice iskazali su zadovoljstvo kompetencijama stečenim formalnim nastavničkim obrazovanjem posebice za poslove koji se odnose na organizacijsko upravljanje odgojno-obrazovnim procesom i suradnju s roditeljima i vanjskim okruženjem. Međutim, istraživanjem su uočene grupe kompetencija koje ravnatelji/ice ocjenjuju kao nedostatne, uz naglašenu potrebu za profesionalizacijom ravnateljske funkcije. Dobiveni rezultati ukazuju na potrebu provođenja dodatnih programa edukacija ravnatelja/ica koji bi im omogućili stjecanje znanja i vještina koja nisu stekli formalnim obrazovanjem, a ključna su za upravljanje odgojno-obrazovnom ustanovom

Érzelmek és viralitás a közösségi médiában : A pártok legnépszerűbb Facebook-bejegyzéseinek érzelmi töltete a 2018-as választási kampányban

A tanulmány a politikai pártok által a 2018-as magyar országgyűlési kampányidőszakban a Facebookon közzétett legsikeresebb bejegyzések érzelmi tartalmát vizsgálja. Sikeresnek azokat a bejegyzéseket tekintjük, amelyek az átlagosnál gyorsabb ütemben terjednek, és szélesebb közönséghez jutnak el. Korábbi kutatások rávilágítottak, hogy az érzelmek jelentős szerepet játszanak a posztok virálissá válásában, ugyanakkor e vizsgálatok gyakran a tonalitás megállapítására koncentráltak. Tanulmányomban a korábbi eredmények áttekintése után kvalitatív módszerrel vizsgálom a 2018-as országgyűlési választáson legjobb eredményt elérő pártok hivatalos oldalain közzétett, legnépszerűbb Facebook-posztok érzelmi karakterét és azok kommunikatív eszközeit. Eredményeim azt mutatják, hogy a pártokkal való nehezebb érzelmi azonosulás ellenére is magas reaktivitást váltanak ki a szer- vezetek érzelemtelített bejegyzései, ugyanakkor a politikusi virális bejegyzésekhez képest több eltérést is találunk: a pártok esetén inkább a negatív tartalmak váltak népszerűvé, és itt már a semleges, közpolitikai tartalmak is a legnépszerűbbek közé kerülhettek