Vol. 6 No. 1 (2016)

Open Access Review Paper

SOME PROPERTIES OF ONE-DIMENSIONAL POINT INTERACTIONS

by Saša Kočinac

In this review paper we shall give a brief account of some properties of so called point interactions that describe a potentials spatially localized. A different families of one-dimensional point interactions are investigated and then relevant tunneling times are calculated. Than we demonstrate how a bound state in the continuum may be generated applying supersymmetric quantum mechanics. Finally, it is shown how the latter method may be used to tailor phase rigidity of one-dimensional point interactions.

picture_as_pdf View Full-Text DOI 10.5937/univtho6-11246 Published: 05 Aug 2016

Open Access Original Scientific Paper

CONCEPT OF STATISTICAL CAUSALITY AND LOCAL MARTINGALES

by Dragana Valjarević, Ljiljana Petrović

In this paper we consider a statistical concept of causality in continuous time in filtered probability spaces which is based on Granger's definitions of causality. The given causality concept is closely connected to the preservation of the property being a local martingale if the filtration is getting larger. Namely, the local martingale remains unpredictable if the amount of information is increased. We proved that the preservation of this property is equivalent with the concept of causality.

picture_as_pdf View Full-Text DOI 10.5937/univtho6-10968 Published: 03 Aug 2016

Open Access Original Scientific Paper

A NOTE ON MAPPINGS AND ALMOST MENGER AND RELATED SPACES

by Ljubiša Kočinac

We consider behaviour of the almost Menger, almost Rothberger, almost Hurewicz, and almost gamma-set properties under several kinds of mappings between topological spaces.

picture_as_pdf View Full-Text DOI 10.5937/univtho6-11214 Published: 02 Aug 2016

Open Access Original Scientific Paper

LEVEL CROSSING RATE OF MACRODIVERSITY WITH THREE MICRODIVERSITY SC RECEIVERS OVER GAMMA SHADOWED NAKAGAMI-M CHANNEL

by Goran Petković, Stefan Panić, Branimir Jakšić

Macrodiversity system with macrodiversity selection combining (SC) receiver and three microdiversity SC receivers operating over Gamma shadowed Nakagami-m multipath fading environment is considered in this work. Level crossing arte of signals at outputs microdiversity SC receivers are calculated and by using these formulas, closed form expression for average level crossing rate of macrodiversity SC receiver output signal is evaluated. Average fade duration of proposed macrodiversity system can be calculated as ratio of outage probability and level crossing rate. By using obtained results the influence of Nakagami-m multipath fading severity parameter, Gamma shadowing severity parameter and shadowing correlation parameter on average level crossing rate is analyzed and discussed.

picture_as_pdf View Full-Text DOI 10.5937/univtho6-9797 Published: 01 Aug 2016

Open Access Original Scientific Paper

KINETICS STUDY OF THE DISPROPORTIONATION OF THE IODOUS ACID IN AQUEOUS SULFURIC ACID SOLUTION

by Smiljana Marković, Biljana Petrović

In this paper we reported the kinetics of the disproportionation reaction of iodous acid (HOIO) in aqueous sulfuric acid solutions (0.18 mol/dm3) studied by spectrophotometrical measurements of the absorbance at suitable wavelength. The changes of the absorbance were caused because the absorbing I2 molecule species were generated during the reaction. The disproportionation rate constants are calculated at the temperature range between 285 and 303 K with average values: k285 = (0.90 ± 0.08) dm3mol-1s-1, k291 = (1.10 ± 0.10) dm3mol-1s-1, k298 = (1.30 ± 0.07) dm3mol-1s-1and k303 = (1.50 ± 0.10) dm3mol-1s-1, respectively. The corresponding activation energy was determined, for the chosen temperature interval, by a graphical method. In addition, obtained value of activation energy is Ea = 38 ± 5 kJ/mol. The negative value of Gibbs energy change and other thermodinamical parameters show that is the disproportionation reaction thermodynamically feasible. Keywordsiodous acid;disproportionation reaction;rate constants;activation energy.

picture_as_pdf View Full-Text DOI 10.5937/univtho6-10474 Published: 27 Jul 2016

Open Access Original Scientific Paper

THE SYNTHESIS AND NMR SPECTRAL ASSIGNMENTS OF 3-NITRO-4-((6-NITROBENZOTHIAZOL-2-YL)AMINO)-2H-CHROMEN-2-ONE

by Biljana Dekić, Niko Radulović, Milenko Ristić, Vidoslav Dekić

Complete assignment of the 1H and 13C NMR chemical shifts of new coumarin derivate was described in this paper. A new coumarin derivate was synthesized in good yield by reaction of 4-chloro-3-nitrocoumarin and 6-nitrobenzothiazol-2-amine in ethyl acetate in the presence of triethylamine. The complete spectral assignment was achieved using of 1D (1H and 13C NMR) and 2D (1H-1H-COSY, NOESY, HSQC and HMBC) NMR experiments.

picture_as_pdf View Full-Text DOI 10.5937/univtho6-10634 Published: 27 Jul 2016

Open Access Original Scientific Paper

ZOOGEOGRAPHICAL REGIONALIZATION OF THE SERBIA ACCORDING TO THE AFFINITY OF LOCAL FAUNAS OF THE SKIPPERS AND BUTTERFLIES (LEPIDOPTERA: HESPERIOIDEA & PAPILIONOIDEA)

by Predrag Jakšić

Integrated list of skippers and butterflies of Serbia is shown. We also conducted faunal analyses of established species. Based on previous research, some regions have been identified as center of certain faunal groups. Degree of similarity of selected areas is established by Jaccard index method. By Cluster analyses has identified links between isolated areas. Specific faunal elements of certain areas have been separated – they are diferencial species. Summerazing the obtain results, zoogeographical map of the skippers and butterflies of Serbia is done.

picture_as_pdf View Full-Text DOI 10.5937/univtho6-10562 Published: 24 Jul 2016

Open Access Original Scientific Paper

MORPHOLOGICAL CHARACTERISTICS OF THE HERMANN’S TORTOISE (TESTUDO HERMANNI GMELIN, 1789) IN THE SOUTH-EASTERN PART OF KOSOVO AND METOHIJA

by Nenad Labus, Aleksandra Savić, Nebojša Živić, Tatjana Babović-Jakšić

In this paper we present the results of the analysis of morphological characteristics of the Hermann’s tortoise from three localities in south-eastern part of Kosovo and Metohija. 75 adult Hermann's tortoises (33 males and 42 females) have been analyzed. Morphometric analisys has been done on 7 traits. We considered the plastron black pigmentation patterns and frequencies for each pigmentation states were calculated. Females were larger than males for all morphometric traits. Based on the most important dimensions of carapace and plastron length and width, the Hermann's tortoises from the south-eastern part of Kosovo and Metohija are the most similar to the individuals of the population from the southern part of the Balkan Peninsula (the southern part of Serbia and the northern part of Greece). In relation to the populations from central and eastern Serbia, individuals from our studed area have higher values.

picture_as_pdf View Full-Text DOI 10.5937/univtho6-10971 Published: 23 Jul 2016

Open Access Original Scientific Paper

A SENSITIVE KINETIC SPECTROPHOTOMETRIC DETERMINATION OF TRACES OF TUNGSTEN IN SOLUTION BASED ON ITS INHIBITORY EFFECT ON THE DECOLORIZATION REACTION OF POTASSIUM PERMANGANATE

by Branka Petković, Ružica Micić, Ranko Simonović

The present work describes a rapid and sensitive method for the determination of ultramicro amounts of tungsten (VI) based on its inhibitory effect on the oxidation of 4-hidroxycoumarine by potassium permanganate in the presence of hydrochloric acid. The sensitivity of the method is 20 ng/cm3. The probable relative error is -4.8-13 % for the W(VI) concentration range 250 to 20 ng/cm3, respectively. Kinetic equations for the investigated process which determine the order of the reactions regarding to each reaction parameter under certain experimental conditions were proposed, and they allowed quantification of the unknown concentrations W(VI) in solution. The detection and quantification limit of the method are 4.5 and 15.1 ng/cm3. The effects of certain foreign ions upon the reaction rate were determined for the assessing the selectivity of the method.

picture_as_pdf View Full-Text DOI 10.5937/univtho6-10437 Published: 22 Jun 2016

Open Access Original Scientific Paper

IMPLEMENTATION OF GRADIENT METHODS FOR OPTIMIZATION OF UNDERAGE COSTS IN AVIATION INDUSTRY

by Nataša Kontrec, Milena Petrović

Underage costs are not easily quantifiable in spare parts management. These costs occur when a spare part is required and none are available in inventory. This paper provides another approach to underage cost optimization for subassemblies and assemblies in aviation industry. The quantity of spare parts is determined by using a method for airplane spare parts forecasting based on Rayleigh's model. Based on that, the underage cost per unit is determined by using the Newsvendor model. Then, by implementing a transformed accelerated double-step size gradient method, the underage costs for spare sub-assemblies and assemblies in airline industry are optimized.

picture_as_pdf View Full-Text DOI 10.5937/univtho6-10134 Published: 29 May 2016

Open Access

THE RULE BASED CLASSIFICATION MODELS FOR MHC BINDING PREDICTION AND IDENTIFICATION OF THE MOST RELEVANT PHYSICOCHEMICAL PROPERTIES FOR THE INDIVIDUAL ALLELE

by Davorka Jandrlić

Binding of proteolyzed fragments of proteins to MHC molecules is essential and the most selective step that determines T-cell epitopes. Therefore, the prediction of MHC-peptide binding is principal for anticipating potential T cell epitopes and is of immense relevance in vaccine design. Despite numerous methods for predicting MHC binding ligands, there still exist limitations that affect the reliability of a prevailing number of methods. Certain important methods based on physicochemical properties have very low reported accuracy. The aim of this paper is to present a new approach of extracting the most important physicochemical properties that influence the classification of MHC-binding ligands. In this study, we have developed rule based classification models which take into account the physicochemical properties of amino acids and their frequencies. The models use k-means clustering technique for extracting the relevant physicochemical properties. The results of the study indicate that the physicochemical properties of amino acids contribute significantly to the peptide-binding and that the different alleles are characterized by a different set of the physicochemical properties.

picture_as_pdf View Full-Text DOI 10.5937/univtho6-10768

Open Access

MATRIX PIXEL AND KERNEL DENSITY ANALYSIS FROM THE TOPOGRAPHIC MAPS

by Dragica Živković

Complex networks with building density play a significant role in many fields of science, especially in urban sciences. That includes road networks, hydrological networks, computer networks and building changes into geo-space through some period. Using these networks we can solve the problems like the shortest path, the total capacity of networks, density population or traffic density in an urban or suburban area. In this paper for quantifying the complexity of road networks and a novel method for determining building density by using a matrix pixel analysis and Kernel distribution with a concrete example of the city of Belgrade. Both of them represent geo-spatial data. In this case we have analyzed road networks, building density, with the help of specially created software for analyzing pixels on the maps from 1971, including the properties of geo-spatial data we have analyzed from old topographic maps in ratio 1:25.000.

picture_as_pdf View Full-Text DOI 10.5937/univtho6-10411