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Lettuce is a worldwide grown leafy vegetable rich in phytochemicals which are essential in human diet. The aim of this study was to examine the effect of genotype, microbiological fertilisers and season on the rosette fresh weight and components of antioxidant activity. Six cultivars (green ‘Kiribati', ‘Aleppo', ‘Aquino' and red ‘Murai', ‘Carmesi', ‘Gaugin‘) were grown in a greenhouse experiment during three consecutive seasons (autumn, winter and spring) with application of microbiological fertilisers (EM Aktiv, Vital Tricho and their combination). Green cultivars showed higher fresh weight than red in spring and winter. Green cultivar ‘Aleppo’ showed the highest fresh weight in control during spring. Microbiological fertilisers led to increased fresh weight in autumn. Mainly, red cultivars showed higher quality parameters compared to green (total antioxidant capacity, total phenolic content, total carotenoids and POD activity). Red cultivar ‘Carmesi' showed the highest total antioxidant capacity, total carotenoids, and total phenolic content in winter with combination of fertilisers, Vital Tricho, and in control. In spring, ‘Carmesi' and ‘Gaugin' showed the highest POD activity with Vital Tricho, and combination of fertilisers. The present study suggested that genotype, fertilisers and season jointly influenced quantity and quality parameters with emphasis on Vital Tricho, and/or combination of fertilisers.

Lettuce (Lactuca sativa L.) is an annual, leafy crop with a short growth in cool season. The aim of this study was to determine the effect of microbiological fertilisers, genotype and growing seasons on the fresh weight (FW), concentration of nitrate and vitamin C in the rosette (head) of red lettuce. The greenhouse experiment included three cultivars ('Murai', 'Gaugin' and 'Carmesi') of red lettuce grown in fertile soil during successive growing seasons: autumn, winter and spring. Three types of microbiological fertilisers: (1) mixture of fungi and bacteria and their products, referred to as effective microorganisms (EM), (2) containing Trichoderma spp. and (3) mixture of EM and Trichoderma spp., were applied for red lettuce. Microbiological fertilisers were applied in the soil and via foliar spray before planting. Significantly higher FW of the rosette was in spring and winter than in autumn. The 'Murai' showed significantly the highest (264.7 g) FW of the rosette in spring. Trichoderma spp. fertiliser and the combination of effective microorganisms and Trichoderma spp. significantly increased FW of the rosette for the 'Murai' and 'Gaugin' grown in autumn. The highest nitrate concentration was observed for winter grown 'Carmesi' (805.2 mg kg(-1)) treated by effective microorganisms, and the lowest for spring grown 'Gaugin' (62.2 mg kg(-1)) without microbial fertilisers. Generally, the application of microbiological fertilisers contributed to a significantly higher concentration of nitrate in the rosette of red lettuce. The concentration of nitrate did not exceed maximum level for protected lettuce (EC No 563/2002). In spring, significantly the highest concentration of vitamin C (12.2 mg 100 g(-1) FW) was found in the 'Carmesi' treated with Trichoderma spp. Microbiological fertilisers contributed to significantly higher concentration of vitamin C in the 'Gaugin' and 'Carmesi' grown in winter and spring. This study indicated that genotype, treatment and growth seaso

U četvrtoj nedelji, u primitivnoj usnoj duplji, zapaža se izuzetno visok mitotički indeks epitelnih ćelija, njihov broj se naglo povećava. U gornjoj i donjoj vilici nastaju epitelna zadebljanja koja se označavaju kao primitivne epitelne trake. Ova zadebljanja prate položaj budućeg alveolarnog nastavka maksile i mandibule. Iz primarnih traka nastaće dve strukture zubna gredica (lamina dentalis) i vestibularna gredica (lamina vestibularis). Iz lamine dentalis razviće se prvo po 10 zubnih pupoljaka mlečne denticije, a kasnije po 16 zubnih pupoljaka stalne denticije, dok će se iz lamine vestibularis razviti vestibulum gornje i donje vilice. Razvoj zuba je složen , kontinuiran proces koji prolazi kroz više faza: faza pupoljka ( faza inicijacije), faza kape (proliferacija), faza zvona (histodiferencijacija i morfodiferencijacija) i faza stvaranja krunice zuba (faza mineralizacije). Razvoj zuba započinje oko šeste nedelje intrauterinog života do početka treće decenije.

Salata (Lactuca sativa L.) je jednogodišnja povrtarska biljka, sa kratkim vegetacionim periodom i mogućnošću gajenja tokom cele godine. Jedna je od najznačajnijih vrsta iz grupe lisnatog povrća, bogata fitonutrijentima koji su esencijalni u ljudskoj ishrani. Cilj ovog istraživanja je bio da se utvrdi uticaj genotipa, mikrobioloških đubriva i sezone na kvantitativne i kvalitativne osobine salate. U sprovedenim istraživanjima ispitani su kvantitativni (morfološki i agronomski) parametri: visina i prečnik rozete i stabla, broj listova, sveža i suva masa listova, sveža masa stabla i rozete (glavice), kao i kvalitativni (biohemijski) parametri: sadržaj nitrata, ukupne rastvorljive materije i organske kiseline, ukupna antioksidativna aktivnost, ukupni karotenoidi, sadržaj vitamina C, sadržaj ukupnih i pojedinačnih fenolnih jedinjenja, ukupni i pojedinačni seskviterpenski laktoni i aktivnost peroksidaze. Ogledi sa šest genotipova salate (tri zelene ‘Kiribati’, ‘Aquino’, ‘Aleppo’ i tri crvene ‘Murai’, ‘Gaugin’, ‘Carmesi’) bili su postavljeni u kompaniji Iceberg Salat Centar, u Surčinu. Biljke su gajene u plasteniku, bez dodatnog grejanja, tokom tri uzastopne sezone (jesen, zima i proleće), uz primenu mikrobioloških đubriva (EM Aktiv, Vital Tricho i njihova kombinacija). Dobijeni rezultati ogleda ukazuju na uticaj genotipa na ispitivana kvantitativna svojstva salate. Generalno, zelene sorte su pokazale tendenciju veće sveže mase rozete-glavice u odnosu na crvene tokom proleća i zime. Najveću svežu masu rozete ostvarila je zelena sorta ‘Aleppo’ u kontrolnim uslovima prolećnog ogleda, nasuprot crvene sorte ‘Carmesi‘ koja je imala najmanju masu u kontroli jesenjeg ogleda. Sorta ‘Aleppo’ pokazala je sličan trend kod parametra sveža masa listova, gde je u kontroli prolećnog ogleda ostvarila najveće vrednosti, kao i najveću suvu masu listova u zimu primenom kombinacije đubriva, čime se ova sorta izdvojila po stabilnosti za najvažnije kvantitativne komponente. Zelena sorta ‘Aquino‘, Lettuce (Lactuca sativa L.) is an annual vegetable crop, with short vegetation period and possibility to cultivate throughout whole year. It is one of the most important species from the leafy vegetables group, enriched with phytonutrients which are essential in human diet. The aim of this study was to investigate the effect of genotype, microbiological fertilisers and season on the quantitative and qualitative traits of lettuce. Two types of the parameters were examined, quantitative parameters (morphological and agronomical)- rosette, stem height and diameter, number of leaves, fresh and dry leaf weight, stem and rosette (head) fresh weight, as well as, qualitative parameters (biochemical)- nitrate content, total soluble solids, total acidity content, total antioxidant activity, total carotenoids, vitamin C content, total and individual phenolics, total and individual sesquiterpene lactones and peroxidase activity. Experiments with six lettuce cultivars (three green ‘Kiribati’, ‘Aquino’, ‘Aleppo’ and three red ‘Murai’, ‘Gaugin’, ‘Carmesi’) were carried out in the company Iceberg Salat Centar, Surčin. Plants were grown in the greenhouse, without additional heating, during three consecutive growing seasons (autumn, winter and spring), with application of microbiological fertilisers (EM Aktiv, Vital Tricho and their combination). Results showed the influence of the genotype on the quantitative parameters. Mainly, green cultivars showed tendency to higher rosette (head) fresh weight than red in spring and winter. Green cultivar ‘Aleppo’ showed the highest rosette fresh weight in control during spring, compared to red cultivar ‘Carmesi’ with the lowest rosette fresh weight in control conditions in autumn. Cultivar ‘Aleppo’ showed the similar trend to parameter fresh leaf weight, with the highest level in control in the spring trial, as well as the highest dry leaf weight in the winter acomplished with combined fertilisers, whereby this cultivar stood out for its stabil

The production of healthy and safe food is something that each country aspires to. Therefore, laws and regulations defining the quality standards are brought so that food could reach the consumer's table. Milk belongs to basic foods in human nutrition and its quality must be strictly controlled. This work presents a comparative analysis of the regulations on milk quality in Serbia and the European Union. Changes in the value of quality parameters according to the regulations from 2012 to 2018 are presented, as well as the deviations from the standards in the European Union. Also, the new regulations regarding the selling of milk and dairy products in the Republic of Serbia are explained., Proizvodnja zdrave i bezbedne hrane je nešto čemu teži svaka zemlja i zbog toga se donose zakoni i propisi koji definišu standarde kvaliteta koje namirnice moraju zadovoljiti kako bi se našle na trpezi potrošača. Mleko spada u osnovne namirnice u ljudskoj ishrani i njegov kvalitet mora biti strogo kontrolisan. U radu je prikazana uporedna analiza propisa o kvalitetu mleka u Srbiji i Evropskoj uniji. Prikazano je kretanje parametara kvaliteta prema propisima u periodu 2012-2018. godine i kolika su odstupanja u odnosu na standarde koji važe u Evropskoj uniji. Takođe, objašnjeno je na koji način je novim propisima regulisana prodaja mleka i mlečnih proizvoda u Republici Srbiji.

Lettuce belongs to a group of leafy vegetable crops with special importance in human nutrition. Along with healthy compounds lettuce can accumulate nitrate in leaves. The purpose of this study was to examine the effects of genotype, microbiological fertilizers and season on plant weight and nitrate content in outer and inner leaves. Green cultivars (′Kiribati′, ′Aquino′, ′Aleppo′) were cultivated in a fertile soil, in a greenhouse trial at the company Iceberg Salat Centar, during three successive seasons (autumn, winter and spring).Microbiological fertilizers (EM Aktiv, Vital Tricho and combination of EM Aktiv and Vital Tricho) were applied in the soil before trials and foliar. In spring cultivar ′Aquino′ showed the highest head fresh weight (360.3 g). All microbiological fertilizers led to increased head fresh weight in ′Aquino′ during autumn trial. Mainly fresh weight was higher in spring and winter compared to autumn. Cultivar ′Aquino′ showed the highest nitrate content (985.4 mg/kg,autumn) in outer leaves with application of Vital Tricho. Opposite to that, the lowest nitrate content was found in inner leaves of cultivar ′Aleppo′ (35.4 mg/kg, spring) with combination of fertilizers. Generally, microbiological fertilizers significantly increased nitrate content in outer and decreased in inner leaves. In both leaves the lowest nitrate level was measured in spring season. During all trials nitrate content remained under allowed level of European Commission Regulation (563/2002) for protected lettuce.

Watermelon is an annual vegetable crop from Cucurbitaceae family. Five mini watermelon cultivars (red-fleshed ′Faerie′ F1, ′Golden crown′ F1, ′Bonanza′ F1 and yellowfleshed ′Sureness′ F1, ′Yellow baby′ F1) were grown in open field experiment from May to July 2018. Plants were grown on a fertile soil, covered with black mulch film, on a distance 75x120 cm. During vegetation period regular agricultural practices were applied (fertirrigation, weeding and preventive protection against diseases and pests). Fruits were harvested after 60 days from planting. The aim of this study was to examine morphological traits of five cultivars in full physiological maturity. Fruit weight ranged between 1.57-2.65 kg with the highest value in cultivar ′Sureness′. Number of fruits ranged from 20 (′Yellow baby′, ′Sureness′) to 35 (′Faerie′). Rind thickness ranged between 5.22-11.91 mm with the highest value in ′Yellow baby′. Total soluble solids ranged from 9.5-10.95 °Brix and randman between 37-49%. Among all cultivars, red-fleshed ′Bonanza′ showed the highest randman and total soluble solids (49% and 10.95 °Brix, respectively). Opposite to that, the lowest total soluble solids showed yellow-fleshed cultivars ′Sureness′ and ′Yellow baby′. Generally, yellow cultivars showed higher fruit weight and rind thickness, whereas red cultivars showed higher number of fruits per plant, total soluble solids and randman. The present study outlines that ′Bonanza′ and ′Faerie′ showed the highest quality (soluble solids content) among tested varieties.

Due to their fast growth, young seedlings have high nutrient requirements. Modern seedling production systems, particularly those with the protected root system, recommend the increased frequency of nutrient application during the process. The optimal continuous nutrient availability is primarily provided by irrigating young plants using the appropriate nutrient solution concentration. The research conducted at the Faculty of Agriculture, University of Belgrade included cucumber seedlings, while its aims were to underline the impact of seedling fertilisation on the seedling quality and to find the optimal nutrient solution concentration for irrigating seedlings. The cucumber seedlings (Darina F1) were grown in grow chambers at day/night intervals of 14/10h and air temperature of 25/18oC. The seedlings were grown in 9-cm diameter pots (Teku), filled with the substrate TKS 1 (Floragard). After sprouting, the seedlings were irrigated using different nutrient solution concentrations of Fitofert Humistart fertiliser: 0.1%, 0.3%, 0.6% and 1%. The control variant was irrigated using pure water. The seedling period lasted for 22 days (after sprouting), after which the seedling quality was determined by measuring the plant height and stem height, stem diameter, leaf number, leaf surface per plant, as well as plant fresh weight. The cucumber seedlings grown in the control variant had a statistically significantly smaller plant height, stem height and stem diameter, a smaller leaf number and lower plant fresh weight. The seedling variants which were continuously irrigated using only the nutrient solution had the measured quality parameters which did not show statistically significant differences between the variants. On the basis of this research, it can be concluded that the seedling irrigation by means of nutrient solution had a positive effect on the seedling quality. Including the economic point of view, the recommended concentration of nutrient solution is 0.1%.

In previous papers there are given numerous cases of groups with truncated simplices as fundamental domains. These groups will be reconsidered here, in order to finish the classification of the supergroups for 44 group series with trunc-simplex domains. There are given 7 new series of groups here, belonging to different families. We also consider 12 new cases of groups of 20 series from families F13 - F32, called maximal series. These results complete the investigation of groups with fundamental trunc-simplices.

The concentrations of Na, Mg, Al, Si, S, Cl, K, Ca, Ti, Mn, Fe, Ni, Cu, Zn, Br, Sr, Zr, Sn, Sb and Pb in 40 archaeological glasses from the Early Byzantine Jelica site in Serbia, are determined by PIXE/PIGE. Geochemical and multivariate analysis shows it corresponds to Foy series 2.1 and 3.2. Regionally, it is similar to the contemporary 6th century composition from Lower Danube (Bulgaria), Caričin Grad (Serbia) and Butrint (Albania). The results indicate that trade routes between these inland regions and the rest of the Empire were mostly open even during turbulent times of the 6th century.

Lettuce (Lactuca sativa L.) belongs to a group of leafy vegetables commonly used as a salad in human nutrition. As minimally processed food product, it is an important source of vitamins, minerals and various antioxidative compounds. In our greenhouse experiment, two Salanova let tuce cultivars (‘Aquino‘ RZ- green and ‘Gaugin‘ RZ- red multi-leaf butterhead) were grown in the fertile soil during three successive seasons (autumn, winter and spring). The aim of the study was to examine the effect of different microbiological fertilizers (EM Aktiv, Vital Tricho and combination of EM Aktiv and Vital Tricho), cultivars and growing seasons on the total phenolic content and peroxidase activity. Our results showed that in all seasons red cultivar ‘Gaugin‘ had higher total phenolic content compared to green cultivar ‘Aquino‘. Their highest level was measured in au tumn with fertilizer Vital Tricho (549.14 µg GAE g-1 FW). The elevated phenolic status of red versus green cultivar was further strengthened by its higher level of peroxidase with the highest activity measured in spring with combination of fertilizers EM Aktiv and Vital Tricho (0.43 U mg-1 prot). The higher peroxidase activity and content of UV-absorbing phenolics, as plant-borne substrates of these enzymes, in the red cultivars indicate that the red leaves are better equipped to combat oxidative stress. Consequently, red cultivar ‘Gaugin‘, with increased synthesis of health-promoting antioxidants, could be considered as functional food in human diet.

Lettuce is a cool season crop, grown worldwide and important vegetable usually used as a sal- ad. It is rich in vitamin C, which has significant role as antioxidant, but lettuce can also accumulate toxic compounds like nitrates. The purpose of this study was to examine the effect of different lettuce genotypes and growing seasons on the content of nitrate and vitamin C in the outer and inner leaves. Six cultivars (‘Kiribati’ RZ, ‘Murai’ RZ, ‘Aquino’ RZ, ‘Gaugin’ RZ, ‘Aleppo’ RZ, ‘Carmesi’ RZ) were grown in the greenhouse experiment during autumn, winter and spring. Vitamin C was determined spectrophotometrically at 550 nm and nitrate colorimetrically at 420 nm. Vitamin C ranged between 3.64-12.41 mg per 100 g FW in autumn, 3.68-7.34 mg per 100 g FW in winter and 3.05-7.72 mg per 100 g FW in spring. Cultivar ‘Carmesi’ had the highest level of vitamin C in the outer leaves (9.15 mg per 100 g FW) and ‘Gaugin’ in the inner leaves (12.41 mg per 100 g FW), both in autumn. Nitrate content ranged between 258.77-908.2 mg kg-1 FW in autumn, 296.62-977.64 mg kg-1 FW in winter and 42.74-450.74 mg kg-1 FW in spring. Cultivar ‘Carmesi’ had the highest level of nitrate in the outer leaves (977.64 mg kg -1 FW) and ‘Aleppo’ in the inner leaves (701.45 mg kg -1 FW), both in winter. Nitrate content in all seasons and genotypes stayed within the limit of EC regulation for protected lettuce. Generally, vitamin C was allocated to the inner and nitrate to the outer leaves. Results showed that genotype and growing season can affect the content of vitamin C and nitrate in lettuce leaves.

Предмет овог истраживања јесу полипрефиксирани глаголи у савременом српском језику, њихове творбене и семантичке особине, семантика и могућности комбиновања префикса, као и утицај друге и треће префиксације на категорије глаголског вида и рода. Циљ рада је да се на основу анализираног корпуса полипрефиксираних глагола са творбеног, семантичког и прагматичког аспекта истраже механизми грађења, семантичка структура, као и употреба ових глагола у комуникацији. Истраживање је споведено на корпусу глагола ексцерпираних из објављених 19 томова Речника српскохрватског књижевног и народног језика САНУ, а корпус је допуњен необјављеном грађом из картотеке за израду овог речника, као и грађом из шестотомног Речника српскохрватскога књижевног језика Матице српске. Примери су преузимани из поменутих речника, као и из публицистике и са интернета..., The subject of this paper is multiple prefixed verbs in contemporary Serbian language, their morphological and semantic characteristics, semantics and the possibilities of combining prefixes, as well as the influence of the second and third prefixation on the categories of verb aspect and gender. The aim of the paper is to study, based on the analyzed corpus of multiple prefixed verbs, the mechanisms of formation, semantic structure and use of these verbs in communication from the aspects of morphology, semantics and pragmatics. The study was done on a corpus of verbs excerpted from the 19 published volumes of the Dictionary of Serbo-Croatian Literary and Vernacular Language of the Serbian Academy of Science and Arts. The corpus was expanded to include unpublished materials from the files used in creating this dictionary, and materials from the six-volume Dictionary of Serbo-Croatian Literary Language published by “Matica srpska”. Examples were taken from the mentioned dictionaries as well as from periodicals and internet...

Predmet ovog istraživanja jesu poliprefiksirani glagoli u savremenom srpskom jeziku, njihove tvorbene i semantičke osobine, semantika i mogućnosti kombinovanja prefiksa, kao i uticaj druge i treće prefiksacije na kategorije glagolskog vida i roda. Cilj rada je da se na osnovu analiziranog korpusa poliprefiksiranih glagola sa tvorbenog, semantičkog i pragmatičkog aspekta istraže mehanizmi građenja, semantička struktura, kao i upotreba ovih glagola u komunikaciji. Istraživanje je spovedeno na korpusu glagola ekscerpiranih iz objavljenih 19 tomova Rečnika srpskohrvatskog književnog i narodnog jezika SANU, a korpus je dopunjen neobjavljenom građom iz kartoteke za izradu ovog rečnika, kao i građom iz šestotomnog Rečnika srpskohrvatskoga književnog jezika Matice srpske. Primeri su preuzimani iz pomenutih rečnika, kao i iz publicistike i sa interneta..., The subject of this paper is multiple prefixed verbs in contemporary Serbian language, their morphological and semantic characteristics, semantics and the possibilities of combining prefixes, as well as the influence of the second and third prefixation on the categories of verb aspect and gender. The aim of the paper is to study, based on the analyzed corpus of multiple prefixed verbs, the mechanisms of formation, semantic structure and use of these verbs in communication from the aspects of morphology, semantics and pragmatics. The study was done on a corpus of verbs excerpted from the 19 published volumes of the Dictionary of Serbo-Croatian Literary and Vernacular Language of the Serbian Academy of Science and Arts. The corpus was expanded to include unpublished materials from the files used in creating this dictionary, and materials from the six-volume Dictionary of Serbo-Croatian Literary Language published by “Matica srpska”. Examples were taken from the mentioned dictionaries as well as from periodicals and internet...

The scope and importance of utilisation of quartz crystals in the prehistoric period of Serbia were smaller in comparison with cherts, and the reasons for their manufacture and purpose are not sufficiently known. Definition of the origin of quartz crystals from the Grivac site, outside the assumed mine at Mali Sturac, and artefacts from Vinca-Belo Brdo from the mine on Avala, as well as definition of working operations carried out using quartz crystal tools represent the initial framework of a systematic approach to the investigation of this group of raw materials. Precise determination of the main components and the character of lithic organization of quartz crystals is one of the important markers of the exchange of raw materials and artefacts in the network of Neolithic settlements in the territory of Serbia. This paper opens up new questions of interrelationships among Vinca settlements of large and small areas and different demographic capacities in the Final Neolithic and during the Chalcolithic. (C) 2015 Elsevier Ltd and INQUA. All rights reserved.

It is known that we can always 3-triangulate (i.e. divide into tetrahedra) convex polyhedra but not always non-convex polyhedra. Here we discuss possibilities and properties of 3-triangulation of 2-toroids, i.e. polyhedra topologically equivalent to sphere with 2 handles, and develop the concepts of piecewise convex polyhedra and graph of connection.

A study of decorated Neolithic pottery samples from the excavation site Plocnik, Serbia, was performed using X-ray powder diffraction (XRPD), Fourier transform infrared (FTIR) and X-ray fluorescence (XRF) spectroscopy. The investigated samples belong to the era of the Vinca culture that existed in the central Balkan region from the mid VI until the first half of the V millennium BCE. The mineralogical composition of the pottery samples and comparison of the investigated pottery with thermally treated local clay indicated firing temperatures in the range from 600 to 800 degrees C. Two different types of white pigments were identified in white incrusted decorations: calcium carbonate and bone white (composed of crushed bones). This is the first evidence of the use of bones for decorations in pottery of the Vinca culture from the excavation site Plocnik. In addition to this, it was revealed that the potters used the iron reduction technique for obtaining black decorations.

A multianalytical study of two Serbian icons, The Virgin and Child and St. Petka, painted on canvas by unknown authors was performed in order to identify the materials used as pigments, binders and the ground layer. The investigated icons belong to the Museum of the Serbian Orthodox Church in Belgrade. Samples, collected from different parts of the icons, were analysed by: optical microscopy (OM), energy dispersive X-Ray fluorescence (EDXRF), Fourier transform infrared (FTIR) and micro-Raman spectroscopy. The obtained results revealed the presence of the following pigments: Prussian Blue, ultramarine, Green Earth, iron oxides, Lead White and Zinc White. Linseed oil was used as the binder. The materials used for the ground layers were gypsum, calcite, baryte and Lead White. The gilded surface of the icon The Virgin and Child was made of gold. The gilded surface on the frame of this icon was made of imitation of gold, i.e., Schlagmetal, since EDXRF spectroscopy showed the presence of copper and zinc, while gold was not detected. Based on the style and the consideration of an art historian, as well as on the obtained results for the corresponding pigments and binder, both icons were most probably made at the end of 19th or the beginning of the 20th century.

In this paper, we consider the problem of determining the minimal cardinality of double resolving sets for prism graphs Y-n. It is proved that the minimal cardinality is equal to four if n is even and equal to three if n is odd.

Background: Portable energy dispersive X-ray fluorescence (pEDXRF) spectrometry analysis was applied for the characterisation of archaeological ceramic findings from three Neolithic sites in Serbia. Two dimension reduction techniques, principal component analysis (PCA) and scattering matrices-based dimension reduction were used to examine the possible classification of those findings, and to extract the most discriminant features. Results: A decision-making procedure is proposed, whose goal is to classify unknown ceramic findings based on their elemental compositions derived by pEDXRF spectrometry. As a major part of decision-making procedure, the possibilities of two dimension reduction methods were tested. Scattering matrices-based dimension reduction was found to be the more efficient method for the purpose. Linear classifiers designed based on the desired output allowed for 7 of 8 unknown samples from the test set to be correctly classified. Conclusions: Based on the results, the conclusion is that despite the constraints typical of the applied analytical technique, the elemental composition can be considered as viable information in provenience studies. With a fully-developed procedure, ceramic artefacts can be classified based on their elemental composition and well-known provenance.

A selection of Byzantine table pottery (17 samples) dating from the period between the beginning of the 12th century and the first half of the 13th century, discovered at Branicevo in Serbia, were analysed by Fourier transform infrared, micro-Raman and scanning electron microscopy with energy dispersive spectroscopy and petrography analysis. The aim of the investigation was to determine the chemical and mineralogical composition of the body and of the glaze and thus to determine the production technology. Fourier transform infrared spectroscopy provided data for estimating the firing temperature and the basic mineralogical composition, and micro-Raman spectroscopy was applied to study and characterise both the glaze and the body of the analysed sherds. It was found that noncalcareous clays, characterised by a rich mineral assemblage, were fired at temperatures between 700 and 900?degrees C. Oxidizing atmosphere was applied in the production of the red colour pottery. The dark and grey coloured paste of one group of sherds was produced by firing organic matter-rich clays in a reducing environment. The main type of transparent glaze was identified as lead-rich, and two samples were alkalilime glazed.

Considering the problem of the minimal triangulation for a given polyhedra (dividing polyhedra into tetrahedra) it is known that the cone triangulation provides the number of tetrahedra which is the smallest, or the closest to it. It is also shown that when we want to know whether the cone triangulation is the minimal one, it is necessary to find the order of all vertices, as well as the order of 'separating circles'. Here, we will give algorithms for testing the necessary condition for the cone triangulation if it is the minimal one. The algorithm for forming the cone triangulation will also be given.

Hyperbolic space groups are isometry groups, acting discontinuously on the hyperbolic 3-space with compact fundamental domain. One possibility to classify them is to look for fundamental domains of these groups. Here are considered supergroups for four series of groups with simplicial fundamental domains. Considered simplices, denoted in [9] by T19, T46, T59, belong to family F12, while T31 belongs to F27.