Generalized Quon Statistics

Generalized quons interpolating between Bose, Fermi, para-Bose, para-Fermi, and anyonic statistics are proposed. They follow from the R-matrix approach to deformed associative algebras. It is proved that generalized quons have the same main properties as quons. A new result for the number operator is presented and some physical features of generalized quons are discussed in the limit $|q_{ij}^{2}| \rightarrow 1$.Comment: 13+i pages, Latex, preprint RBI-TH-9

Analiza i vrednovanje stanja pozicijske i tranzicijske obrane u košarkaškoj igri : doktorska disertacija

Cilj ove studije bio je formulacija teorijskih koncepata koji omogućuju analizu stanja i prijelaznih vjerojatnosti u košarkaškoj igri. Također, jedan od ciljeva ovog rada je postavljanje i empirijska verifikacija modela diskretnih slučajnih procesa, Markovljevih lanaca. Na uzorku od 24 košarkaške utakmice Top 16 Eurolige za sezonu 2009/2010 korištenjem skupa od 526 varijable - stanja košarkaške igre detaljno je istražena struktura košarkaške igre u fazi pozicijske i tranzicijske obrane. Analizom dobivenih rezultata u ukupnom prostoru obrane dobiva se da se cjelokupan uzorak od 24 utakmice sastoji od 3211 obrambenih akcija. Na temelju originalnog skupa varijabli izvedene su nestandardne situacijske varijable pozicijske obrane. Pritom je izvršena je eksplorativna strategija faktorske analize u manifestnom prostoru 7 definiranih nestandardnih situacijskih varijabli: broj pozicijskih obrana od pick and roll, pick and pop i handoff manevara koje su završile uspješnim ishodom, broj pozicijskih obrana na low post-u koje su završile uspješnim ishodom, broj pozicijskih obrana od izolacija na perimetru koje su završile uspješnim ishodom, broj pozicijskih obrana od blokova na igračima bez lopte koje su završile uspješnim ishodom, broj timskih pozicijskih obrana od prodora sa loptom sa perimetra koje su završile uspješnim ishodom, broj pojedinačnih pozicijskih obrana na igraču sa loptom na perimetru koje nisu rezultirale prodorom, a koje su završile uspješnim ishodom i broj pozicijskih obrana od utrčavanja sa perimetra te od ubacivanja visokog igrača u srce reketa, koje su završile uspješnim ishodom. Ekstrahirana su 4 faktora: (1) faktor kontrole prostora pod košem (reketa); (2) faktor kontrole vanjskog šuta; (3) faktor pojedinačne obrane na lopti i (4) faktor obrane od pick and roll/pop i handoff-a. Višestrukom regresijskom analizom istražena je povezanost istog skupa varijabli sa uspješnošću pozicijske obrane. Nadalje, diskriminacijskom analizom na prostoru 14 nestandardnih situacijskih varijabli (7 gore navedenih uspješnih i 7 neuspješnih) utvrđene su one varijable koje najviše razlikuju obrambeno uspješne od neuspješnih ekipa. Dobiveni rezultati u sklopu obje navedene analize upućuju na važnost uspješne pojedinačne obrane na lopti te uspješne timske obrane od prodora sa loptom. Pretpostavlja se kako su to varijable koje možemo interpretirati kao glavne generatore uspješnosti pozicijske obrane. Višestrukom regresijskom analizom također su istraženi učinci međudjelovanja tranzicijske/pozicijske obrane i tranzicijskog/pozicijskog napada. Dobiveni rezultati potvrđuju činjenice odavno naslućene i postavljene u košarkaškoj praksi. Predloženi novi metodološki pristup analizi stanja košarkaške igre i prijelaznih vjerojatnosti Markovljevim lancima nije konačan, nego se treba shvatiti kao polazišna točka za empirijsku provjeru i daljnja istraživanja na temelju kojih će se model mijenjati i dorađivati

Differences in Basic Non-Standard Situational Effifi ciency Indicators between Winning and Defeated European Senior Basketball Teams

The aim of the conducted research was to identify and explain the differences in basic non-standard situational effi - ciency indicators between winning and defeated European senior basketball teams. Discriminant analysis and Mann- Whitney U-test were used with the purpose of investigating the differences between winning and defeated teams in the domain of basic non-standard situational variables. The grouping variable distinguished 24 defeated teams from 24 winning teams participating in 2009/2010 season of Euroleague Top 16. The research clearly reveals the differences between the winning and defeated European senior basketball teams in the domain of non-standard situational variables of position and transition offense and defense. Eight situational effi ciency indicators were used which include the overall number of successful and unsuccessful position and transition defenses and offenses. Based on the results obtained by parametric and non-parametric methods, it has been noticed that successful position defense is crucial for winning, and unsuccessful position offense is an indicator of defeat prediction. Therefore, practical aims in situational training must involve balanced development of relevant abilities and skills which determine successful simultaneous performance of multiple tasks in all the phases of game fl ow. Such process of sport preparation improves the overall actual quality of players and whole team performance. In conclusion, it is important to emphasize that the process of improving position and transition defense stimulates the development of position and transition offense, and vice versa

Differences in Basic Non-Standard Situational Effifi ciency Indicators between Winning and Defeated European Senior Basketball Teams

The aim of the conducted research was to identify and explain the differences in basic non-standard situational effi - ciency indicators between winning and defeated European senior basketball teams. Discriminant analysis and Mann- Whitney U-test were used with the purpose of investigating the differences between winning and defeated teams in the domain of basic non-standard situational variables. The grouping variable distinguished 24 defeated teams from 24 winning teams participating in 2009/2010 season of Euroleague Top 16. The research clearly reveals the differences between the winning and defeated European senior basketball teams in the domain of non-standard situational variables of position and transition offense and defense. Eight situational effi ciency indicators were used which include the overall number of successful and unsuccessful position and transition defenses and offenses. Based on the results obtained by parametric and non-parametric methods, it has been noticed that successful position defense is crucial for winning, and unsuccessful position offense is an indicator of defeat prediction. Therefore, practical aims in situational training must involve balanced development of relevant abilities and skills which determine successful simultaneous performance of multiple tasks in all the phases of game fl ow. Such process of sport preparation improves the overall actual quality of players and whole team performance. In conclusion, it is important to emphasize that the process of improving position and transition defense stimulates the development of position and transition offense, and vice versa

Children’s graves from the archaeological site Rivine – Crkvina in Bosnia and Herzegovina

Položaj Rivine – Crkvina kod Stolca (BiH) na prvi se pogled doima kao poprilično rustičan kasnoantički arheološki lokalitet smješten u unutrašnjosti rimske provincije Dalmacije. Nasuprot tomu, on je zapravo pun osobitosti koje nije jednostavno razumjeti i objasniti. Jedna od tih osobitosti jesu dječji grobovi na zapadnom, odnosno pretežito jugozapadnom dijelu crkve, koji u mnogočemu isto tako odgovaraju uobičajenoj praksi ukapanja djece u tom razdoblju. Zanimljivost lokaliteta je i organizacija grobova odraslih osoba u njihovoj neposrednoj blizini, koji su po svemu sudeći nastali nešto kasnije. Oni su datirani metodom 14C i kao terminus post quem non daju okvirnu kronologiju cjelokupne kasnoantičke faze lokaliteta.The site Rivine–Crkvina by Stolac, Bosnia and Herzegovina, seems at first glance a fairly rustic Late Antique archaeological site located in the interior of the Roman province of Dalmatia. However, quite to the contrary, it is full of distinctive features that are not easy to understand or explain. One of these features is the children’s graves in the west or mainly southwest part of the church, which in many ways are consistent with the usual practice of children’s burials in this period. An interesting feature of the site is the organisation of the graves of adults in their immediate vicinity, which, from all the evidence, were created later. They were dated by C14 and as a terminus post quem non provide an outline chronology of the whole Late Antique phase of the site

Children’s graves from the archaeological site Rivine – Crkvina in Bosnia and Herzegovina

Položaj Rivine – Crkvina kod Stolca (BiH) na prvi se pogled doima kao poprilično rustičan kasnoantički arheološki lokalitet smješten u unutrašnjosti rimske provincije Dalmacije. Nasuprot tomu, on je zapravo pun osobitosti koje nije jednostavno razumjeti i objasniti. Jedna od tih osobitosti jesu dječji grobovi na zapadnom, odnosno pretežito jugozapadnom dijelu crkve, koji u mnogočemu isto tako odgovaraju uobičajenoj praksi ukapanja djece u tom razdoblju. Zanimljivost lokaliteta je i organizacija grobova odraslih osoba u njihovoj neposrednoj blizini, koji su po svemu sudeći nastali nešto kasnije. Oni su datirani metodom 14C i kao terminus post quem non daju okvirnu kronologiju cjelokupne kasnoantičke faze lokaliteta.The site Rivine–Crkvina by Stolac, Bosnia and Herzegovina, seems at first glance a fairly rustic Late Antique archaeological site located in the interior of the Roman province of Dalmatia. However, quite to the contrary, it is full of distinctive features that are not easy to understand or explain. One of these features is the children’s graves in the west or mainly southwest part of the church, which in many ways are consistent with the usual practice of children’s burials in this period. An interesting feature of the site is the organisation of the graves of adults in their immediate vicinity, which, from all the evidence, were created later. They were dated by C14 and as a terminus post quem non provide an outline chronology of the whole Late Antique phase of the site

Fragment of a Funerary Mensa from the Site of Galovac – Crkvina

U radu se obrađuje ulomak pogrebne mense (mensa) pronađen pri arheološkim istraživanjima lokaliteta Galovac – Crkvina kod Zadra. Riječ je o rijetkom primjerku takvog tipa nalaza na našim prostorima čije analogije nalazimo unutar funeralnih konteksta sjeverne Afrike. Povezuje se s rimskim poganskim pokopom iz 3. - 4. stoljeća.The paper deals with a fragment of a funerary mensa recovered in the archaeological excavations of the site of Galovac – Crkvina near Zadar. It is a rare example of this type of find in our region. Analogies can be found in funerary contexts of northern Africa. It is associated with the Roman pagan burial, from the 3rd – 4th centuries

Morphogenesis of karst poljes on Vis Island, Croatia

Karst poljes are the most characteristic feature of Dinaric karst area. The number of poljes identified on the island of Vis (Croatia) differs according to the various authors who have studied the island. Considering the various existing definitions of polje in previous studies, in this paper we propose a set of criteria for identifying poljes in karst terrain using Geographic Information System. This enabled the identification of six poljes on the Vis Island, whose formation is predetermined by tectonic structures. Moreover, processes are frequently inferred by neotectonic (both uplift and subsidence) according to the analysis of longitudinal and transverse profiles gradients affecting balance of these morphologies. Since they are not hydrologically active in present hydrological conditions, poljes on Vis Island can be considered to be paleo - overflow or structural poljes

Direct Potentiometric Determination of Penicillamine in Real Samples by Using Copper ISE

Direct potentiometric method for determination of penicillamine in pharmaceuticals by using commercial copper ISE is described. Proposed method is very inexpensive, simple and reasonably fast method for determination of Pen in acetic buffer, pH = 4 without pretreatment of pharmaceuticals. Determination is based on the reaction between Pen and Cu2+ from electrode membrane. Described method has linear response range for Pen from 2×10−6 to 1×10−2 mol L−1 with limit of detection of 1.1×10−6 mol L−1. Found concentrations of Pen are in very good agreement with declared ones with standard deviation values in range 4.00−4.50 %