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Search Results: 1 - 10 of 8509 matches for " Vladimir Dragovi? "
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Pseudo-integrable billiards and arithmetic dynamics
Vladimir Dragovi,Milena Radnovi?
Physics , 2012,
Abstract: We introduce a new class of billiard systems in the plane, with boundaries formed by finitely many arcs of confocal conics such that they contain some reflex angles. Fundamental dynamical, topological, geometric, and arithmetic properties of such billiards are studied. The novelty, caused by reflex angles on boundary, induces invariant leaves of higher genera and dynamical behaviour different from Liouville-Arnold's theorem. Its analogue is derived from the Maier theorem on measured foliations. A local version of Poncelet theorem is formulated and necessary algebro-geometric conditions for periodicity are presented. The connection with interval exchange transformation is established together with Keane's type conditions for minimality. It is proved that the dynamics depends on arithmetic of rotation numbers, but not on geometry of a given confocal pencil of conics.
Systems of Kowalevski type, discriminantly separable polynomials and quad-graphs
Vladimir Dragovi,Katarina Kuki?
Mathematics , 2011,
Abstract: We establish a new class of integrable {\it systems of Kowalevski type}, associated with discriminantly separable polynomials of degree two in each of three variables. Defining property of such polynomials, that all discriminants as polynomials of two variables are factorized as products of two polynomials of one variable each (denote one of the polynomial components as $P$), lead to an effective integration procedure. In the motivating example, the celebrated Kowalevski top, the discriminant separability is a property of the polynomial defining the Kowalevski fundamental equation. We construct several new examples of systems of Kowalevski type, and we perform their explicit integration in genus two theta-functions. One of the main tasks of the paper is to classify such discriminantly separable polynomials. Our classification is based on the study of structures of zeros of a polynomial component $P$ of a discriminant. From a geometric point of view, such a classification is related to the types of pencils of conics. We construct also discrete integrable systems on quad-graphs associated with discriminantly separable polynomials. We establish a relationship between our classification and the classification of integrable quad-graphs which has been suggested recently by Adler, Bobenko and Suris. As a fit back, we get a geometric interpretation of their results in terms of pencils of conics, and in the case of general position, when all four zeros of the polynomial $P$ are distinct, we get a connection with the Buchstaber-Novikov two-valued groups on $\mathbb {CP}^1$.
New Examples of Systems of the Kowalevski Type
Vladimir Dragovi,Katarina Kuki?
Mathematics , 2011, DOI: 10.1134/S1560354711050054
Abstract: A new examples of integrable dynamical systems are constructed. An integration procedure leading to genus two theta-functions is presented. It is based on a recent notion of discriminantly separable polynomials. They have appeared in a recent reconsideration of the celebrated Kowalevski top, and their role here is analogue to the situation with the classical Kowalevski integration procedure.
Reversal deterioration of renal function accompanied with primary hypothyrodism
Dragovi? Tamara
Vojnosanitetski Pregled , 2012, DOI: 10.2298/vsp1202205d
Abstract: Introduction. Hypothyroidism is often accompanied with decline of kidney function, or inability to maintain electrolyte balance. These changes are usually overlooked in everyday practice. Early recognition of this association eliminates unnecessary diagnostic procedures that postpone the adequate treatment. Case report. Two patients with elevated serum creatinine levels due to primary autoimmune hypothyroidism, with complete recovery of creatinine clearance after thyroid hormone substitution therapy are presented. The first patient was a young male whose laboratory tests suggested acute renal failure, and the delicate clinical presentation of reduced thyroid function. The second patient was an elderly woman with a history of a long-term signs and symptoms attributed to ageing, including the deterioration of renal function, with consequently delayed diagnosis of hypothyroidism. Conclusion. Serum thyrotropin and thyroxin levels measurement should be done in all cases of renal failure with undefined renal desease, even if the typical clinical presentation of hypothyroidism is absent. Thyroid hormone assays sholud also be performed in all patients with chronic kidney disease whose kidney function is rapidly worsening.
Uticaj metaboli ke kontrole na nastanak i razvoj bubre ne lezije u e ernoj bolesti
Dragovi? Tamara
Vojnosanitetski Pregled , 2002, DOI: 10.2298/vsp0203293d
O stvarala kom traganju Dje je i lutkarske scene HNK u Vara dinu
Spomenka Dragovi
Radovi Zavoda za Znanstveni Rad Vara?din , 2007,
Abstract: Nakana je rada - pregledom repertoara, te osvrtom na praizvedbe predstava Dje je i lutkarske scene vara dinskoga HNK – ukazati na specifi nosti estetike Scene, kao i zna aj njena djelovanja u vara dinskome kazali nom ivotu, a i ire.U kreiranju autenti nog kazali nog izraza – nerijetko spoja umjetni koga htjenja i nu nog oslu kivanja imperativa prakse – Dje ja i lutkarska scena je u proteklih dvanaest godina postala sukreatorom vara dinskoga kazali nog repertoara i dijelom vara dinskoga kazali nog svakodnevlja, ali i relevantnom injenicom u ivotu hrvatskoga teatra danas
Microalbuminuria in diabetes: Definition, identification techniques, and the significance of early recognition
Dragovi? Tamara
Vojnosanitetski Pregled , 2006, DOI: 10.2298/vsp0612027d
Labour engagement optimization in planning the execution of river regulation works on the Jela ni ka river
Andrijani? Tijana,Dragovi? Nada,Todosijevi? Mirjana
Glasnik ?umarskog Fakulteta , 2012, DOI: 10.2298/gsf1206029a
Abstract: A project is a task comprising a set of interrelated activities requiring time and resources for their execution. It is often the case that during the construction of longitudinal and cross section structures for the regulation of a torrential catchment the required resources (labour, materials, mechanization, and finances) are often limited and because of that we face the problem of their efficient use. This paper deals with the problem of planning the execution of river regulation works on the Jela ni ka River with the aim to minimize the time extension due to limited resources. In the planning phase of project realization labour force is the limited resource. Heuristic techniques, i.e. the Gray-Kidd algorithm with the use of MS Project software were applied in the distribution of resources for the purposes of optimal labour engagement. This method uses the data acquired by the CPM method of network planning as input elements. Through more iterations, by moving noncritical and then critical project activities, the minimal extension of project duration was achieved by engaging more labour force. Therefore, the proposed heuristic and CPM method performed well in resolving the resource-constrained project scheduling problem. [Projekat Ministarstva nauke Republike Srbije, br. 43007: Istra ivanje klimatskih promena na ivotnu sredinu: pra enje uticaja, adaptacija i ubla avanje , podprojekat br. 16: Socio-ekonomski razvoj, ubla avanje i adaptacija na klimatske promene]
The potential of sustainable tourism development at the Stara mountain
Dragovi? Ranko,Todorovi? Marina,Stankovi? Stevan M.
Glasnik Srpskog Geografskog Dru?tva , 2011, DOI: 10.2298/gsgd1101087d
Abstract: In the past, the greatest part of the Stara mountain had been subjected to anthropogenic processes which induced serious ecologic consequences and diminished the worth of the potential for tourism development. The present study investigates the possibilities for the development of sustainable tourism of the Stara mountain with focus on analyzing the natural environment and the consequences that may be induced by preparations for more intensive tourist exploitation (technical interventions). The importance is stressed of anti-erosion protection and of the measures for improvement of biodiversity and geo-diversity of the Stara mountain. The necessity of finding the modes of more rational exploitation of natural and anthropogenic qualities of the Stara mountain is indicated.
Computer Simulation of Passive Device for Elimination of Static Electricity
Nikola Dragovi,Mi?o Ga?anovic
International Journal of Emerging Sciences , 2011,
Abstract: The paper describes conducted computer simulation of the passive device for elimination of static electricity, using example of pouring petroleum and petroleum products. The principled scheme of specified equipment is used, which is under international patent protection. Computer simulation of here proposed static electricity elimination device is made with software package MATLAB/Simulink v7.6 (R2010b). Finally, a conclusion with the comment on obtained results of the simulation is given.
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