Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education

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Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education (en)
Развој нових информационо-комуникационих технологија, коришћењем напредних математичких метода, са применама у медицини, телекомуникацијама, енергетици, заштитити националне баштине и образовању (sr)
Razvoj novih informaciono-komunikacionih tehnologija, korišćenjem naprednih matematičkih metoda, sa primenama u medicini, telekomunikacijama, energetici, zaštititi nacionalne baštine i obrazovanju (sr_RS)
Authors

Publications

Кохеренција и прости политопи

Ivanović, Jelena S.

(Универзитет у Београду, Математички факултет, 2020-09-30)

TY  - THES
AU  - Ivanović, Jelena S.
PY  - 2020-09-30
UR  - http://eteze.bg.ac.rs/application/showtheses?thesesId=7659
UR  - https://fedorabg.bg.ac.rs/fedora/get/o:22820/bdef:Content/download
UR  - http://vbs.rs/scripts/cobiss?command=DISPLAY&base=70036&RID=23736329
UR  - https://nardus.mpn.gov.rs/handle/123456789/17516
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1170
AB  - U teoriji kategorija, koherencija koja je vezana za određeni tip kategori-ja, u najgrubljem smislu znači komutiranje dijagrama sastavljenih od kanonskihstrelica tih kategorija...
AB  - In category theory, the term coherence of a particular type of the category indicates in thebroadest sense that the diagrams composed of its canonical arrows commute...
PB  - Универзитет у Београду, Математички факултет
T2  - Универзитет у Београду
T1  - Кохеренција и прости политопи
UR  - https://hdl.handle.net/21.15107/rcub_nardus_17516
ER  - 
@phdthesis{
author = "Ivanović, Jelena S.",
year = "2020-09-30",
abstract = "U teoriji kategorija, koherencija koja je vezana za određeni tip kategori-ja, u najgrubljem smislu znači komutiranje dijagrama sastavljenih od kanonskihstrelica tih kategorija..., In category theory, the term coherence of a particular type of the category indicates in thebroadest sense that the diagrams composed of its canonical arrows commute...",
publisher = "Универзитет у Београду, Математички факултет",
journal = "Универзитет у Београду",
title = "Кохеренција и прости политопи",
url = "https://hdl.handle.net/21.15107/rcub_nardus_17516"
}
Ivanović, J. S.. (2020-09-30). Кохеренција и прости политопи. in Универзитет у Београду
Универзитет у Београду, Математички факултет..
https://hdl.handle.net/21.15107/rcub_nardus_17516
Ivanović JS. Кохеренција и прости политопи. in Универзитет у Београду. 2020;.
https://hdl.handle.net/21.15107/rcub_nardus_17516 .
Ivanović, Jelena S., "Кохеренција и прости политопи" in Универзитет у Београду (2020-09-30),
https://hdl.handle.net/21.15107/rcub_nardus_17516 .

Geometrical realisations of the simple permutoassociahedron by Minkowski sums

Ivanović, Jelena

(Belgrade : University of Belgrade, Faculty of Electrical Engineering, Department of Applied Mathematics, 2020)

TY  - JOUR
AU  - Ivanović, Jelena
PY  - 2020
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1060
AB  - This paper introduces a family of n-polytopes, P An,c which is a geometrical realisation of simple permutoassociahedra. It has significant importance
serving as a topological proof of Mac Lane’s coherence. Polytopes in this
family are defined as Minkowski sums of certain polytopes such that every
summand produces exactly one truncation of the permutohedron, i.e. yields
to the appropriate facet of the resulting sum. Additionally, it leads to the
correlation between Minkowski sums and truncations, which gives a general
procedure for similar geometrical realisation of a wider class of polytopes.
PB  - Belgrade : University of Belgrade, Faculty of Electrical Engineering, Department of Applied Mathematics
T2  - Applicable Analysis and Discrete Mathematics
T1  - Geometrical realisations of the simple permutoassociahedron by Minkowski sums
VL  - 14
IS  - 1
SP  - 55
EP  - 93
DO  - 10.2298/AADM190414011I
ER  - 
@article{
author = "Ivanović, Jelena",
year = "2020",
abstract = "This paper introduces a family of n-polytopes, P An,c which is a geometrical realisation of simple permutoassociahedra. It has significant importance
serving as a topological proof of Mac Lane’s coherence. Polytopes in this
family are defined as Minkowski sums of certain polytopes such that every
summand produces exactly one truncation of the permutohedron, i.e. yields
to the appropriate facet of the resulting sum. Additionally, it leads to the
correlation between Minkowski sums and truncations, which gives a general
procedure for similar geometrical realisation of a wider class of polytopes.",
publisher = "Belgrade : University of Belgrade, Faculty of Electrical Engineering, Department of Applied Mathematics",
journal = "Applicable Analysis and Discrete Mathematics",
title = "Geometrical realisations of the simple permutoassociahedron by Minkowski sums",
volume = "14",
number = "1",
pages = "55-93",
doi = "10.2298/AADM190414011I"
}
Ivanović, J.. (2020). Geometrical realisations of the simple permutoassociahedron by Minkowski sums. in Applicable Analysis and Discrete Mathematics
Belgrade : University of Belgrade, Faculty of Electrical Engineering, Department of Applied Mathematics., 14(1), 55-93.
https://doi.org/10.2298/AADM190414011I
Ivanović J. Geometrical realisations of the simple permutoassociahedron by Minkowski sums. in Applicable Analysis and Discrete Mathematics. 2020;14(1):55-93.
doi:10.2298/AADM190414011I .
Ivanović, Jelena, "Geometrical realisations of the simple permutoassociahedron by Minkowski sums" in Applicable Analysis and Discrete Mathematics, 14, no. 1 (2020):55-93,
https://doi.org/10.2298/AADM190414011I . .
1
1

A simple permutoassociahedron

Baralić, Djordje; Ivanović, Jelena; Petrić, Zoran

(Elsevier B.V., 2019)

TY  - JOUR
AU  - Baralić, Djordje
AU  - Ivanović, Jelena
AU  - Petrić, Zoran
PY  - 2019
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1163
AB  - In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family.
PB  - Elsevier B.V.
T2  - Discrete mathematics
T1  - A simple permutoassociahedron
VL  - 342
IS  - 12
SP  - 111591
DO  - 10.1016/j.disc.2019.07.007
ER  - 
@article{
author = "Baralić, Djordje and Ivanović, Jelena and Petrić, Zoran",
year = "2019",
abstract = "In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family.",
publisher = "Elsevier B.V.",
journal = "Discrete mathematics",
title = "A simple permutoassociahedron",
volume = "342",
number = "12",
pages = "111591",
doi = "10.1016/j.disc.2019.07.007"
}
Baralić, D., Ivanović, J.,& Petrić, Z.. (2019). A simple permutoassociahedron. in Discrete mathematics
Elsevier B.V.., 342(12), 111591.
https://doi.org/10.1016/j.disc.2019.07.007
Baralić D, Ivanović J, Petrić Z. A simple permutoassociahedron. in Discrete mathematics. 2019;342(12):111591.
doi:10.1016/j.disc.2019.07.007 .
Baralić, Djordje, Ivanović, Jelena, Petrić, Zoran, "A simple permutoassociahedron" in Discrete mathematics, 342, no. 12 (2019):111591,
https://doi.org/10.1016/j.disc.2019.07.007 . .
3
3

A simple permutoassociahedron

Baralić, Djordje; Ivanović, Jelena; Petrić, Zoran

(Elsevier B.V., 2019)

TY  - JOUR
AU  - Baralić, Djordje
AU  - Ivanović, Jelena
AU  - Petrić, Zoran
PY  - 2019
UR  - https://raf.arh.bg.ac.rs/handle/123456789/1161
AB  - In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family.
PB  - Elsevier B.V.
T2  - Discrete Mathematics
T1  - A simple permutoassociahedron
VL  - 342
IS  - 12
DO  - 10.1016/j.disc.2019.07.007
ER  - 
@article{
author = "Baralić, Djordje and Ivanović, Jelena and Petrić, Zoran",
year = "2019",
abstract = "In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are “hybrids” of permutohedra and associahedra. Since permutohedra and associahedra are simple, it is natural to search for a family of simple permutoassociahedra, which is still adequate for a topological proof of Mac Lane’s coherence. This paper presents such a family.",
publisher = "Elsevier B.V.",
journal = "Discrete Mathematics",
title = "A simple permutoassociahedron",
volume = "342",
number = "12",
doi = "10.1016/j.disc.2019.07.007"
}
Baralić, D., Ivanović, J.,& Petrić, Z.. (2019). A simple permutoassociahedron. in Discrete Mathematics
Elsevier B.V.., 342(12).
https://doi.org/10.1016/j.disc.2019.07.007
Baralić D, Ivanović J, Petrić Z. A simple permutoassociahedron. in Discrete Mathematics. 2019;342(12).
doi:10.1016/j.disc.2019.07.007 .
Baralić, Djordje, Ivanović, Jelena, Petrić, Zoran, "A simple permutoassociahedron" in Discrete Mathematics, 342, no. 12 (2019),
https://doi.org/10.1016/j.disc.2019.07.007 . .
3
3

The use of Weber's focal-directorial plane curves as approximation of top view contour curves at architectural buildings objects

Petrović, Maja M.; Mijailović, Radomir; Malešević, Branko; Đorđević, Đorđe; Štulić, Radovan

(Univerzitet u Nišu, Niš, 2018)

TY  - JOUR
AU  - Petrović, Maja M.
AU  - Mijailović, Radomir
AU  - Malešević, Branko
AU  - Đorđević, Đorđe
AU  - Štulić, Radovan
PY  - 2018
UR  - https://raf.arh.bg.ac.rs/handle/123456789/291
AB  - One of the major aims when researching some problems in architectural design of buildings is to fully understand and adequately apply the underlying scientific foundations that architects use in their projects. In this paper we analyze the application possibilities of the Weber's focal-directorial curves in the approximation of ground-base contour line of architectural objects i.e. buildings. Thus, a Weber's curve with m foci and n directrices was defined. Furthermore, particular qualifiers were introduced in order to estimate the level of adequacy of the conducted approximation. The importance of the research can be sought in the fact that the exact procedure has been created with its applicability in architectural-urban design of contemporary forms as well as in the domain of the historical heritage and conservation in the sense of the creating proper geometrical models for further computer aided use.
AB  - Jedan od glavnih ciljeva istraživanja nekih problema u arhitektonskom dizajniranju zgrada je potpuno razumevanje i adekvatno primenjivanje naučnih načela koje arhitekte koriste u svojim projektima. U ovom radu analiziramo mogu nosti primene eberovih fokalno-direktrisnih krivih u aproksimaciji konture osnove arhitektonskih objekata, tj. zgrada. U vezi sa tim, definisana je Veberova kriva sa m fokusa i n direktrisa. Osim toga, uvedeni su posebni kvalifikatori kako bi se procenio nivo preciznosti izvršene aproksimacije. ažnost istraživanja se posebno iskazuje u činjenici da je postupak kreiran sa mogu noš u primene u arhitektonsko-urbanističkom dizajniranju savremenih oblika, kao i u domenu zaštite i revitalizacije istorijskog nasle a u smislu stvaranja odgovaraju ih geometrijskih modela za dalju upotrebu pomo u računara.
PB  - Univerzitet u Nišu, Niš
T2  - Facta universitatis - series: Architecture and Civil Engineering
T1  - The use of Weber's focal-directorial plane curves as approximation of top view contour curves at architectural buildings objects
T1  - Primena Veberovih fokalno-direktrisnih ravanskih krivih u aproksimaciji konturne krive osnove arhitektonskih objekata
VL  - 16
IS  - 2
SP  - 237
EP  - 246
DO  - 10.2298/FUACE171130005P
ER  - 
@article{
author = "Petrović, Maja M. and Mijailović, Radomir and Malešević, Branko and Đorđević, Đorđe and Štulić, Radovan",
year = "2018",
abstract = "One of the major aims when researching some problems in architectural design of buildings is to fully understand and adequately apply the underlying scientific foundations that architects use in their projects. In this paper we analyze the application possibilities of the Weber's focal-directorial curves in the approximation of ground-base contour line of architectural objects i.e. buildings. Thus, a Weber's curve with m foci and n directrices was defined. Furthermore, particular qualifiers were introduced in order to estimate the level of adequacy of the conducted approximation. The importance of the research can be sought in the fact that the exact procedure has been created with its applicability in architectural-urban design of contemporary forms as well as in the domain of the historical heritage and conservation in the sense of the creating proper geometrical models for further computer aided use., Jedan od glavnih ciljeva istraživanja nekih problema u arhitektonskom dizajniranju zgrada je potpuno razumevanje i adekvatno primenjivanje naučnih načela koje arhitekte koriste u svojim projektima. U ovom radu analiziramo mogu nosti primene eberovih fokalno-direktrisnih krivih u aproksimaciji konture osnove arhitektonskih objekata, tj. zgrada. U vezi sa tim, definisana je Veberova kriva sa m fokusa i n direktrisa. Osim toga, uvedeni su posebni kvalifikatori kako bi se procenio nivo preciznosti izvršene aproksimacije. ažnost istraživanja se posebno iskazuje u činjenici da je postupak kreiran sa mogu noš u primene u arhitektonsko-urbanističkom dizajniranju savremenih oblika, kao i u domenu zaštite i revitalizacije istorijskog nasle a u smislu stvaranja odgovaraju ih geometrijskih modela za dalju upotrebu pomo u računara.",
publisher = "Univerzitet u Nišu, Niš",
journal = "Facta universitatis - series: Architecture and Civil Engineering",
title = "The use of Weber's focal-directorial plane curves as approximation of top view contour curves at architectural buildings objects, Primena Veberovih fokalno-direktrisnih ravanskih krivih u aproksimaciji konturne krive osnove arhitektonskih objekata",
volume = "16",
number = "2",
pages = "237-246",
doi = "10.2298/FUACE171130005P"
}
Petrović, M. M., Mijailović, R., Malešević, B., Đorđević, Đ.,& Štulić, R.. (2018). The use of Weber's focal-directorial plane curves as approximation of top view contour curves at architectural buildings objects. in Facta universitatis - series: Architecture and Civil Engineering
Univerzitet u Nišu, Niš., 16(2), 237-246.
https://doi.org/10.2298/FUACE171130005P
Petrović MM, Mijailović R, Malešević B, Đorđević Đ, Štulić R. The use of Weber's focal-directorial plane curves as approximation of top view contour curves at architectural buildings objects. in Facta universitatis - series: Architecture and Civil Engineering. 2018;16(2):237-246.
doi:10.2298/FUACE171130005P .
Petrović, Maja M., Mijailović, Radomir, Malešević, Branko, Đorđević, Đorđe, Štulić, Radovan, "The use of Weber's focal-directorial plane curves as approximation of top view contour curves at architectural buildings objects" in Facta universitatis - series: Architecture and Civil Engineering, 16, no. 2 (2018):237-246,
https://doi.org/10.2298/FUACE171130005P . .
2

A New Course on R& D Project Management in Computer Science and Engineering: Subjects Taught, Rationales Behind, and Lessons Learned

Milutinović, Veljko; Vujičić-Stanković, Staša; Jović, Aleksandar; Drašković, Dražen; Mišić, Marko; Furundžić, Danilo

(Academic Press Inc., 2017)

TY  - JOUR
AU  - Milutinović, Veljko
AU  - Vujičić-Stanković, Staša
AU  - Jović, Aleksandar
AU  - Drašković, Dražen
AU  - Mišić, Marko
AU  - Furundžić, Danilo
PY  - 2017
UR  - https://raf.arh.bg.ac.rs/handle/123456789/243
PB  - Academic Press Inc.
T2  - Advances in computers, vol 106
T1  - A New Course on R& D Project Management in Computer Science and Engineering: Subjects Taught, Rationales Behind, and Lessons Learned
VL  - 106
SP  - 1
EP  - 19
DO  - 10.1016/bs.adcom.2017.04.001
ER  - 
@article{
author = "Milutinović, Veljko and Vujičić-Stanković, Staša and Jović, Aleksandar and Drašković, Dražen and Mišić, Marko and Furundžić, Danilo",
year = "2017",
publisher = "Academic Press Inc.",
journal = "Advances in computers, vol 106",
title = "A New Course on R& D Project Management in Computer Science and Engineering: Subjects Taught, Rationales Behind, and Lessons Learned",
volume = "106",
pages = "1-19",
doi = "10.1016/bs.adcom.2017.04.001"
}
Milutinović, V., Vujičić-Stanković, S., Jović, A., Drašković, D., Mišić, M.,& Furundžić, D.. (2017). A New Course on R& D Project Management in Computer Science and Engineering: Subjects Taught, Rationales Behind, and Lessons Learned. in Advances in computers, vol 106
Academic Press Inc.., 106, 1-19.
https://doi.org/10.1016/bs.adcom.2017.04.001
Milutinović V, Vujičić-Stanković S, Jović A, Drašković D, Mišić M, Furundžić D. A New Course on R& D Project Management in Computer Science and Engineering: Subjects Taught, Rationales Behind, and Lessons Learned. in Advances in computers, vol 106. 2017;106:1-19.
doi:10.1016/bs.adcom.2017.04.001 .
Milutinović, Veljko, Vujičić-Stanković, Staša, Jović, Aleksandar, Drašković, Dražen, Mišić, Marko, Furundžić, Danilo, "A New Course on R& D Project Management in Computer Science and Engineering: Subjects Taught, Rationales Behind, and Lessons Learned" in Advances in computers, vol 106, 106 (2017):1-19,
https://doi.org/10.1016/bs.adcom.2017.04.001 . .
2
2
2