MODELLING IN TEACHING PROBABILITY AND STATISTICS AT THE FACULTIES OF TECHNOLOGY IN THE REPUBLIC OF CROATIA

At all levels of teaching mathematics it is necessary to implement as many as possible examples of idealised real problems which require the application of mathematical knowledge and development of mathematical models. The course probability and statistics, taught at the faculties of technology in Croatia, should therefore include examples which are connected with technologies studied at respective faculties. This paper describes the method of developing new models that can be implemented in teaching probability and statistics at the faculties of technology. As the result of this method, the examples of new tasks are obtained, from the area of printing and graphic design, which are suitable for use in teaching at the Faculty of Graphic Arts of the University of Zagreb. The described approach to the teaching process is in line with the latest guidelines of the International Mathematical Union as well as the European Executive Education Agency

Sinteza monokristala BISCO (2212) i mjerenja nekih njihovih transportnih svojstava

The experimental set-ups and methods of growing monocrystals of BISCO (2212) are described and in particular the flux method, two self-flux methods and the method of sealed cavity. All these methods, except the last one, proved fairly successful. However, a monocrystal of the pure 2212 phase has not yet been obtained. In good monocrystals, the percentage of the parasitic 2223 phase is very small and, for most of the transport measurements, undetectable. The experience gathered indicates the conditions under which the pure 2212 phase could be synthesized.Opisana je oprema i metoda rasta monokristala BISCO (2212) i to metoda “fluksa” (Flux–method), dvije metode “vlastitog fluksa” (self–flux) te metoda “zatvorene šupljine” (sealed cavity). Sve metode izuzev posljednje pokazale su se uspješnima u određenom opsegu. Ipak, još uvijek nije realiziran monokristal u potpuno čistoj fazi 2212. Postotak faze 2223 vrlo je malen i za većinu transportnih mjerenja nezamjetljiv. Tijekom rada stečeno je iskustvo koje ukazuje na uvjete sinteza kojima će se ostvariti rast čiste faze 2212

The aesthetic value of the golden ratio and rhythm of the photographs

The study analyzes the aesthetic value of rhythm of the photos as opposed to the form in which the rhythm is subjected. With the method of experimental aesthetics, the visual aesthetics experiment is conducted in which the tested quality of the different forms of proportional rhythm due to the shape and length of the interval as a part of the rhythmic matrix. The experimental part consisted of an assessment of visual quality of the 5 photos containing different variations of proportional rate. On all the photographs the rhythm is constituted of cigarettes situated on the surface of the old concrete. Spacing between cigarettes and interval length is successively reduced to accurately defined proportions. In one photograph, the relations between the neighboring intervals are in line with the ratio of the golden section. The experiment involved 32 subjects who had the task of assessing the level of the aesthetic qualities of rhythm on the Likert scale from 1 to 5 where the grades cannot be repeated. Measurement of the quality of a particular form of rhythm is defined as the arithmetic mean score of all respondents. The highest mean is given to the test image with uniform rhythm when the second place is reserved for a photograph whose rhythm is aligned with the golden section. Conducted analysis of repeated measures ANOVA showed that the obtained arithmetic means differ significantly (F = 3.430, p = 0.011) with a significance level of p 0.05)

Ultrazvuk abdomena – vodeća metoda u dijagnostici GIST-a duodenuma

Gastrointestinal stromal tumors (GIST) are the most common mesenchymal tumors of the digestive tract and are generally asymptomatic. A 39-year-old female patient was hospitalized in 2012 at Clinical Department of Internal Medicine, Sestre milosrdnice University Hospital Center, for a focal hypodense irregular circular lesion located in segment III of the left hepatic lobe, accidentally found by ultrasonography and verified by computed tomography. Th e findings were also verified with nuclear magnetic resonance and esophagogastroduodenoscopy. A biopsy sample of the lesion was analyzed by histologic and immunohistochemical methods and identified as GIST. The patient underwent surgical operation (tumor excision with terminoterminal anastomosis created between the second segment of duodenum and jejunum and resection of liver segment III). The histopathologic findings matched GIST with a high probability of relapse according to the localization, size, mitotic activity and Ki-67 values. Th erefore, therapy with imatinib at a dose of 400 mg/day was administered. Three years after the operation, the patient is still in remission.Gastrointestinalni stromalni tumori (GIST) najčešći su mezenhimni tumori probavnog trakta i najčešće su asimptomatski. Naša 39-godišnja bolesnica hospitalizirana je 2012. godine na Klinici za internu medicinu KBC-a Sestre milosrdnice zbog ultrazvučno slučajno nađene i kompjutorskom tomografijom potvrđene hipodenzne nepravilne okrugle lezije lokalizirane u 3. segmentu lijevog jetrenog režnja. Nalaz je potvrđen magnetskom rezonancijom i ezofagogastroduodenoskopijom. Histološkim i imunohistološkim metodama obrade uzorak biopsije se identificirao kao GIST. Učinjena je primarna resekcija (potpuna ekscizija tumora s terminoterminalnom anastomozom između II. odsječka dvanaesnika i jejunuma i resekcijom 3. segmenta jetre). Patohistološki nalaz je potvrdio dijagnozu GIST-a, a s obzirom na lokalizaciju, veličinu, mitotsku aktivnost i vrijednosti Ki-67 tumor je svrstan u skupinu visokorizičnih za recidiv. Zbog toga je indicirana terapija imatinibom u dozi od 400 mg/dan. Tri godine nakon operacije bolesnica je i dalje u remisiji

MODELLING IN TEACHING PROBABILITY AND STATISTICS AT THE FACULTIES OF TECHNOLOGY IN THE REPUBLIC OF CROATIA

At all levels of teaching mathematics it is necessary to implement as many as possible examples of idealised real problems which require the application of mathematical knowledge and development of mathematical models. The course probability and statistics, taught at the faculties of technology in Croatia, should therefore include examples which are connected with technologies studied at respective faculties. This paper describes the method of developing new models that can be implemented in teaching probability and statistics at the faculties of technology. As the result of this method, the examples of new tasks are obtained, from the area of printing and graphic design, which are suitable for use in teaching at the Faculty of Graphic Arts of the University of Zagreb. The described approach to the teaching process is in line with the latest guidelines of the International Mathematical Union as well as the European Executive Education Agency

Dijagnostičke ocjenske ljestvice kao predskazatelj ishoda liječenja u bolesnika s krvarenjem iz vrijeda želuca i dvanaesnika [Diagnostic scores as predictors of outcome in patients with bleeding gastric and duodenal ulcers]

The aim of this study was to determine the incidence of bleeding ulcers in Zagreb region and to identify the factors that influence the treatment outcomes of patients with bleeding gastric and duodenal ulcers. Additional aim was to determine which is the optimal pre-endoscopy and post-endoscopy score with cut-offs that could predict rebleeding and lethal outcome with adequate accuracy. The study included 796 patients treated at Internal medicine division of 'Sestre milosrdnice'University hospital in the 5-year period (2008-2012), which were identified using the registry of patients with upper gastrointestinal bleeding. Peptic ulcer bleeding made up 38.3% of all bleedings from upper gastrointestinal tract, with 52.3% of patients having gastric ulcer and 42.3% duodenal ulcer (the rest were patients with ulcers of both stomach and duodenum or anastomotic ulcers). By comparing the ROC curves of aforementioned preendoscopic scores, Rockall risk score turned out to be the best score for predicting lethal outcome. Postendoscopic Rockall score was better than postendoscopic Baylor bleeding score in predicting lethal outcome in patients with gastric or duodenal ulcer bleeding. Glasgow Blatchford score was the best in predicting rebleeding among the three preendoscopic scores

Estimation of electronic programme guide use behaviour based on the switching cost evaluation

In this article we define a new technology acceptance research model which considers the comparison of two technology solutions that an individual can use. The model estimates the usage of the observed solution based on the cost of switching from the reference solution (typically a standard or older solution) to the observed solution, considering the fact that the cost of switching is caused by a difference of facilitating conditions, habit and the intention to use between the reference and observed solutions. For evaluation purposes, we observed the costs of switching from teletext use to the use of the electronic programme guide (EPG on the subset of n = 82 respondents and interpreted 77.2% of the variance, which demonstrates the high quality of the model. Evaluation results indicate that the primary obstacle to switching from teletext to EPG usage arises from the individuals’ perception whether they have more or less of the necessary resources to use the EPG in comparison to the resources they have at their disposition in case of teletext use, and the second ranked switching cost is caused by a difference in habit

Nova gospodarska strategija Republike Hrvatske za ulazak u društvo razvijenih zemalja

U uvodu rada izlažemo temeljne ekonomske probleme Republike Hrvatske na samom početku tranzicije devedesetih godina prošlog stoljeća. Dolazimo do spoznaje da je hrvatsko gospodarstvo od 1990. do 2010. doživjelo velike probleme i potrese ne samo zbog velike svjetske krize (2008.) nego i zbog atipičnog modela privređivanja koji nas je vodio u smjeru dužničkog ropstva. U takvom političko-ekonomskom okruženju sve su vlade Republike Hrvatske kritizirale takav gospodarski model, ali ga je svaka i dalje provodila. Nijedna vlada nije imala političke volje promijeniti ga jer velike promjene mijenjaju i strukturu moći, a nijedna vlast nije tako racionalna i dalekovidna da sama mijenja strukturu moći. Rezultat takvog načina mišljenja je da je Hrvatska izgubila gospodarski identitet, ne zna što hoće u razvoju gospodarstva. U nastavku rada predlažemo koji bi makroekonomski potezi vlade RH bili nužni za osmišljavanje transformacije postojećeg atipičnog modela privređivanja u tipičan model privređivanja kao ključnog preduvjeta za održivi razvoj Republike Hrvatske i ulazak u društvo razvijenih zemalja svijeta. U zaključku smo objedinili najvažnija analizirana pitanja i dobivene rezultate i predložili teme koje su ostale neistražene te se na temelju tih ideja mogu kreirati buduća istraživačka pitanja