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Poset cone and weighted P−partitions enumerator
(Kongres mladih matematičara u Novom Sadu KMMNS2 Septembar, 29 – Oktobar, 1, 2022 Novi Sad, Srbija, 2022)
For a poset P on [n] we associate the poset cone C_P := cone{e_i − e_j : i <_P j}, where e_1, e_2, . . . , e_n are the standard basis vectors in R^n. The normal fan N(C_P) of this polyhedron is a coarsening of a subfan of ...
An additional students’ task at Descriptive Geometry
(Faculty of Mechanical Engineering, University of Belgrade, 2020)
At the Faculty of Civil Engineering, University of Belgrade, beside the obligatory forms of lectures and exercises, freshmen students have the opportunity to widen their practical experience in application of geometric ...
Hankel determinants of second and third order for the class S of univalent functions
(Slovak Academy of Sciences, Mathematical Institute, 2021)
In this paper we give the upper bounds of the Hankel determinants of the second and
third order for the class S of univalent functions in the unit disc.
Modeling the interior sunlight effects of Studenica Monastery
(Virtual Workshop: Natural Light in Medieval Churches Between Bizantium and West, 2020)
The local path of the Sun influences the architecture of our buildings. We have developed a model to measure the amount of sunlight that will pass through the windows of the Studenica Monastery Church. This model is general ...
Тhe benefits of an additional practice in descriptive geometry course: non obligatory workshop at the Faculty of civil engineering in Belgrade
(Serbian Society for Geometry and Graphics (SUGIG) Faculty of Mechanical Engineering, University of Belgrade, 2020)
At the Faculty of Civil Engineering in Belgrade, in the Descriptive geometry (DG) course, non-obligatory workshops named “facultative task” are held for the three generations of freshman students with the aim to give ...
A note on matrices involving the Chebyshev polynomials
(2rd International Conference on Stochastic Dynamics and Statistical Application, 2023)
In this talk, we establish a connection between some classical topics in applied mathematics - circulant matrices and the Chebyshev polynomials. First, we define circulant matrices whose entries are the Chebyshev polynomials ...
H-colouring revisited
(Faculty of Sciences and Mathematics, Department of Mathematics, 2023)
In this paper we give a new, shortened proof of NP-completeness of CSP problem for undirected, non bipartite graphs, of interest for generalization to QCSP problem. We also give some illustrative examples.
Overview of the new rulebook on testing fire resistance, external fire performances and reaction to fire in the Republic of Serbia
(The 8 th International Conference "Civil Engineering – Science and Practice" GNP 2022 – Kolašin, Montenegro, March 8-12, 2022, Zbornik radova, Građevinski fakultet Podgorica, 2022)
Abstract
The growing expansion of construction and import of new, as well as existing materials from around the world, has led to a large number of tests materials and elements of constructions in the Republic of Serbia. ...
Experimental and numerical analysis of a walls made from aerated concrete blocks exposed to fire
(Proceedings of the 19 th international symposium of MASE, April 2022., 2022)
ABSTRACT
In this paper solution of a non-stationary one dimensional (1D) heat conduction problem has been presented. The finite difference method, i.e. by applying energy balance has been used. The finite difference method ...
The comparative analysis of thermal behaviour of a different thicknesses walls made from autoclaved aerated concrete blocks exposed to fire
(Proceedings of the 19 th international symposium of MASE, April 2022., 2022)
ABSTRACT
In this paper a comparative analysis of thermal behavior of six partition walls with different thicknesses were presented. The walls were dimensions 3000 mm x 3000 mm made from autoclaved aerated concrete blocks ...