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On the extension of the Erdös-Mordell type inequalities
(Mathematical Inequalities & Applications, 2014)
We discuss the extension of inequality R_A >= c/a * r_b + b/a * r_c to the plane of triangle ABC. Based on the obtained extension, in regard to all three vertices of the triangle, we get the extension of Erdos-Mordell ...
Spatial forms create by time extrusion of moving objects
(Novi Sad: Digital Design Center / Department of Architecture / Faculty of Technical Sciences, University of Novi SadBeograd: Serbian Society for Geometry and Graphics (SUGIG), 2018)
The idea for this design came from investigation of forms created as “time imprint” of moving 2D and 3D objects through space, while simultaneously changing their transformations: translation, rotation, scaling, etc. The ...
Potential of 3D laser scanning of church objects of Studenica monastery complex in preservation of cultural heritage
(Slovenian Restorers AssociationNational Gallery of Slovenia (NG), Department of Conservation and Restoration, 2018)
U okviru projekta namenjenog potrebama zaštite i očuvanja kulturne baštine, izvršeno je 3D lasersko skeniranje crkvenih objekata u okviru manastirskog kompleksa Studenica. Prikupljeni podaci i rezultati obrade će se koristiti ...
Геометријски пропорцијски модел цркве манастира Љубостиња
(Факултет примењених уметности у Београду, 2019)
Пропорције архитектонских објеката се сматрају једним од најстаријих теоретских питања архитектуре, приближавајући се са једне стране математици, а са друге уметности-креативности у примени складних-хармоничних односа у ...
CFD simulation of thermal performances of building structure with expanded polystyrene (EPS) as thermal insulation
(Proceedings of 3rd International Conference on Electrical, Electronic and Computing Engineering IcETRAN 2016, Zlatibor, Serbia, June 13 – 16, 2016, 2016)
In this paper a three dimensional (3D), Computational Fluid Dynamics (CFD) simulation for indoor air flow and heat transfer in a single room was developed. The multi-layer structure building envelop, with expanded polystyrene ...
Geometry behind the position of stairs: balance in the mind
(Novi Sad:Faculty of Technical Sciences, University of Novi SadNovi Sad: Serbian Society for Geometry and Graphics (SUGIG), 2018)
In this paper we examine the link between the human body and architectural design. For this purpose, we combine Cognitive Metaphor Theory (CMT) and geometry. We start from the hypothesis that the organization of space and ...
Some aspects of contemporary trends in civil engineering
(Peoples' Friendship University of Russia, 2014)
In this research several topics concerning contemporary civil engineering and architecture are introduced: problems regarding structural system choice (with respect to the geometric design of the building), suitable ...
Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge
(Springer, 2018)
In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where the diffraction of laser light appears ...
On a generalized Jordan normal form of an infinite upper triangular matrix
(Taylor & Francis Ltd, United Kingdom, 2019)
Any square matrix over an algebraically closed field has a Jordan normal form. In this paper, we prove that every infinite upper triangular matrix over an arbitrary field has a generalized infinite Jordan normal form.
Triangular proportional scheme and concept of the two Serbian medieval churches
(Springer Verlag, 2018)
Serbian medieval architectural heritage is notable for its sacred architecture including numerous Christian Orthodox churches built at the territory of former Raška state during the period from the 12th to the 14th centuries. ...