Error bound of certain Gaussian quadrature rules for trigonometric polynomials

In this paper we give error bound for quadrature rules of Gaussian type for trigonometric polynomials with respect to the weight function w(x) = 1+cos x, x ∈ (−π, π), for 2π -periodic integrand, analytic in a circular domain. Obtained theoretical bound is checked and illustrated on some numerical examples

Error bound of certain Gaussian quadrature rules for trigonometric polynomials

In this paper we give error bound for quadrature rules of Gaussian type for trigonometric polynomials with respect to the weight function w(x) = 1+cos x, x ∈ (−π, π), for 2π -periodic integrand, analytic in a circular domain. Obtained theoretical bound is checked and illustrated on some numerical examples

Free planar vibration of structures composed of rigid bodies and elastic beam segments

Ovaj rad predstavlja analizu slobodnih vibracija struktura sastavljenih od krutih tela međusobno spojenih sa elastičnim gredama. Pretpostavlja se da se centri masa krutih tela ne nalaze na neutralnoj osi nedeformisanog elastičnog grednog segmenta kao i da kruta tela vrše ravno kretanje u istoj ravni i da se njihovi centri masa nalaze u toj istoj ravni. Za određivanje frekvencija sistema, modifikacija klasične 'CTMM' metode je upotrebljena. Elastični gredni segmenti se tretiraju kao Ojler-Bernulijeve grede. Prikazan je numerički primer.This article presents free vibration analysis of structures composed of rigid bodies connected with elastic beam segments. It is assumed that the mass centers of rigid bodies are not located on the neutral axes of undeformed elastic beam segments as well as rigid bodies perform planar motion in the same plane and their mass centers are located in that plane. For determination of natural frequencies of the system, modification of the conventional continuous-mass transfer matrix method has been performed. The elastic beam segments are treated as Euler-Bernoulli beams. Numerical example is presented

Physical and Chemical Characteristics of Edible Offal from Free-Range Reared Swallow-Belly Mangalica Pigs

Physical (pH and L*a*b* values) and chemical (moisture, protein, total fat, total ash, K, P, Na, Mg, Ca, Zn, Fe, Cu, and Mn) characteristics of offal consisting of the tongue, heart, lungs, liver, spleen, kidney, brain, and spinal cord of free-range reared Swallow-Belly Mangalica pigs were determined. Many significant differences were found among mean values of quality traits. However, except for a few cases, the determined offal quality traits were in the characteristic ranges reported in the literature. Lungs were high in pH24h (P24h, moisture (P<0.01), and total ash concentration. The highest levels of protein (P<0.01), Mg, Fe (P<0.05), Zn (P<0.01), and Mn (P<0.01) and the lowest of Na were found in liver. The darkest colour (lowest L* value), highest concentration of K, the lowest concentration of total fat and Ca were found in spleen. Finally, spinal cord was the highest in total ash (P<0.01), P (P<0.01), and Ca (P<0.05) and the lowest in protein, Mg (P<0.05), Fe, and Zn (P<0.01) concentration

Color measurement of animal source foods

Rapid and objective assessment of food color is necessary in quality control. The color evaluation of animal source foods using a computer vision system (CVS) and a traditional colorimeter is examined. With the same measurement conditions, color results deviated between these two approaches. The color returned by the CVS had a close resemblance to the perceived color of the animal source foods, whereas the colorimeter returned not typical colors. The effectiveness of the CVS is confirmed by the study results. Considering these data, it could be concluded that the colorimeter is not representative method for color analysis of animal source foods, therefore, the color read by the CVS seemed to be more similar to the real ones

Improvement of water vapor barrier properties of chitosan-collagen laminated casings using beeswax

Collagen casings are commercially used in sausage production. In this paper, collagen film that is used for sausage casings was laminated with chitosan film to produce barrier casing film. Chitosan coating was prepared by dissolving chitosan powder in 1% acetic acid. After dissolving chitosan, caraway essential oil, wetting agent Tween 20 and different amounts of beeswax, from 0 to 25 g were added to the solution. The solution was coated on collagen film surface in three layers, using a sponge brush to make laminated films. Films were air dried at temperature t =23 °C ± 2 °C. Uncoated collagen film was used as reference. Film thickness, water vapor barrier properties and FTIR spectra were determined. With growing amount of beeswax added to the chitosan layer, film thickness grew from 112 µm for laminated film with 5 g of beeswax to 225 µm for film with 25 g of beeswax, compared to 83 µm for collagen film. Water vapor barrier properties improved with growing amount of beeswax in chitosan layer, ranging from 130.71 g/m2 24h for laminated film with added 5 g of beeswax to 66.96 g/m2 24h for the film with 25 g of beeswax, compared to 290.64 g/m2 24h for collagen film. Addition of beeswax showed great potential in lowering water vapor permeability of laminated collagen-chitosan film. FTIR spectra could be used to determine quantitative law dependency between added amount of beeswax and spectra absorption values,as well as to prove compactness of chitosan-beeswax layer

The first record of the Chinese pond mussel Sinanodonta woodiana (Lea, 1834) in Montenegro

Sinanodonta woodiana (Lea, 1834), Chinese pond mussel (Bivalvia: Unionoida: Unionidae) is one of the most invasive aquatic macroinvertebrate species found in Europe. We report the Chinese pond mussel for the first time in Montenegro, in August 2012, in Lake Šasko (Adriatic part of the Central Mediterranean subarea). One specimen of the Chinese pond mussel was observed in a habitat with a predominantly silt-clay substrate. The main pathway of species introduction was evaluated to be via fish stocking. [Projekat Ministarstva nauke Republike Srbije, br. III 43002 i br. ON 173025

The first record of the Chinese pond mussel Sinanodonta woodiana (Lea, 1834) in Montenegro

Sinanodonta woodiana (Lea, 1834), Chinese pond mussel (Bivalvia: Unionoida: Unionidae) is one of the most invasive aquatic macroinvertebrate species found in Europe. We report the Chinese pond mussel for the first time in Montenegro, in August 2012, in Lake Šasko (Adriatic part of the Central Mediterranean subarea). One specimen of the Chinese pond mussel was observed in a habitat with a predominantly silt-clay substrate. The main pathway of species introduction was evaluated to be via fish stocking.Projekat ministarstva br. III 43002 i br. ON 17302

First record of Bothrioneurum vejdovskyanum Štolc, 1886 (Oligochaeta, Tubificidae) in Serbia

We report the discovery of Bothrioneurum vejdovskyanum Štolc, 1886 (Annelida: Oligochaeta: Tubificidae: Rhyacodrilinae) in Serbian freshwaters. Fifteen specimens were found in the middle course of the River Ibar (southern Serbia), at a locality where the macrolithal type of substrate and strong currents prevail. These organisms were found together with Stylodrilus heringianus (Claparede, 1862). They were among the most abundant Oligochaeta species. The species are described and its biology and distribution are discussed. The present record contributes to the knowledge on the general distribution of this rare species, particularly in the Balkans (southeastern Europe).Projekat ministarstva br. ON 173025 i br. III 4300

Amphibians in Serbia: Distribution and diversity patterns

Considering the need for an up-to-date overview of the distribution and diversity of amphibians of Serbia, we mapped the species distributions upon current, mostly unpublished, faunistic data. Also, we compared batrachofaunas of Serbia and other Balkan countries in terms of species number and zoogeographic batrachofaunistic elements. With its 21 native species (8 urodeles and 13 anurans), Serbia appears to be the second most diverse country in the Balkans. We found three main centres of species richness in Panonnian and Peripannonian Serbia (with 15-17 species per 50 x 50 km square) which signals urgency for their protection. Serbian batrachofauna is most similar to that of the eastern Balkan countries (Bulgaria and Romania). Zoogeographic analysis showed that amphibian fauna of Serbia consists of six chorotypes, with the central-European and southern-European as the most dominant ones.S obzirom na potrebu za najnovijim pregledom distribucije i diverziteta vodozemaca Srbije, u ovom radu prikazane su distribucije vrsta dobijene na osnovu postojećih i velikog broja do sada neobjavljenih faunističkih podataka. Dodatno, poređena je batrahofaunu Srbije i ostalih balkanskih zemalja u odnosu na broj vrsta i zoogeografskih batrahofaunističkih elemenata. Sa 21 autohtonom vrstom (8 vrsta repatih vodozemaca i 13 vrsta bezrepih vodozemaca), Srbija je druga zemlja Balkana po diverzitetu vodozemaca. Utvrđeno je postojanje tri glavna centra diverziteta u Panonskoj i Peripanonskoj Srbiji (sa 15-17 vrsta u okviru 50 × 50 km2) što ukazuje na hitnost uvođenja mera zaštite ovih centara. Batrahofauna Srbije je najsličnija istočnim balkanskim zemljama (Bugarska i Rumunija). Zoogeografska analiza pokazala je da se fauna vodozemaca Srbije sastoji od šest horotipova, sa centralnoevropskim i južnoevropskim kao dominantnim horotipovima.Projekat ministarstva br. 17304