TY  - JOUR
AU  - Milovanović, Miloš
AU  - Tomić, Bojan
AU  - saulig, nicoletta
PY  - 2023
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/2860
AB  - In the paper, authors report on the interdisciplinary and extremely complex link between wavelets and stochastic processes. An insight into the history of wavelets has been provided presenting the fundamental conception of wavelets, as well as wavelet theory that emerged from stochastic processes. The multiresolution analysis corresponds to the Kolmogorov system which is a regular stationary stochastic process. It presents a significant link to the measurement problem in terms of positional notation which the wavelet domain hidden Markov model should be derived from. The optimal representation arises to be an issue requiring further elaboration extended to the general measurement and wavelet frames.
PB  - Elsevier
T2  - Chaos, Solitons & Fractals
T1  - Wavelets and stochastic theory: Past and future
IS  - 113724
VL  - 173
DO  - 10.1016/j.chaos.2023.113724
ER  - 

@article{
author = "Milovanović, Miloš and Tomić, Bojan and saulig, nicoletta",
year = "2023",
abstract = "In the paper, authors report on the interdisciplinary and extremely complex link between wavelets and stochastic processes. An insight into the history of wavelets has been provided presenting the fundamental conception of wavelets, as well as wavelet theory that emerged from stochastic processes. The multiresolution analysis corresponds to the Kolmogorov system which is a regular stationary stochastic process. It presents a significant link to the measurement problem in terms of positional notation which the wavelet domain hidden Markov model should be derived from. The optimal representation arises to be an issue requiring further elaboration extended to the general measurement and wavelet frames.",
publisher = "Elsevier",
journal = "Chaos, Solitons & Fractals",
title = "Wavelets and stochastic theory: Past and future",
number = "113724",
volume = "173",
doi = "10.1016/j.chaos.2023.113724"
}

Milovanović, M., Tomić, B.,& saulig, n.. (2023). Wavelets and stochastic theory: Past and future. in Chaos, Solitons & Fractals
Elsevier., 173(113724).
https://doi.org/10.1016/j.chaos.2023.113724

Milovanović M, Tomić B, saulig N. Wavelets and stochastic theory: Past and future. in Chaos, Solitons & Fractals. 2023;173(113724).
doi:10.1016/j.chaos.2023.113724 .

Milovanović, Miloš, Tomić, Bojan, saulig, nicoletta, "Wavelets and stochastic theory: Past and future" in Chaos, Solitons & Fractals, 173, no. 113724 (2023),
https://doi.org/10.1016/j.chaos.2023.113724 . .

TY  - CONF
AU  - Tomić, Bojan
AU  - Milovanović, Milos
AU  - Medić-Simić, Gordana
PY  - 2023
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/2676
AB  - The main goal of the paper is to provide insight into the current state of education in Serbia regarding the use of educational aspects of software re-lated to deduction, geometry and mathematical reasoning. Authors investigate to what extent and for what purposes teachers and students use such software. The consideration of the current state is substantiated by the examples of teaching practices at different school levels, and supplemented by the proposals which tend to contribute to deeper understanding of the topic. The most commonly used automatic deduction and calculation programs in Serbian education are GeoGebra, Photomath, Microsoft Math Solver, Desmos, and Wolfram Alpha. These mathematical software represent an advantageous topic for cross-curricular connection in schools which could be realized in many different ways. It is suggested in the context of connecting mathematics and physics to art, history of science, national history of science, philosophy, logic and psychology.
C3  - 14th International Conference on Automated Deduction in Geometry Book of Abstracts
T1  - Deduction in Education: the Case of Serbia
EP  - 8
SP  - 8
UR  - https://hdl.handle.net/21.15107/rcub_rimsi_2676
ER  - 

@conference{
author = "Tomić, Bojan and Milovanović, Milos and Medić-Simić, Gordana",
year = "2023",
abstract = "The main goal of the paper is to provide insight into the current state of education in Serbia regarding the use of educational aspects of software re-lated to deduction, geometry and mathematical reasoning. Authors investigate to what extent and for what purposes teachers and students use such software. The consideration of the current state is substantiated by the examples of teaching practices at different school levels, and supplemented by the proposals which tend to contribute to deeper understanding of the topic. The most commonly used automatic deduction and calculation programs in Serbian education are GeoGebra, Photomath, Microsoft Math Solver, Desmos, and Wolfram Alpha. These mathematical software represent an advantageous topic for cross-curricular connection in schools which could be realized in many different ways. It is suggested in the context of connecting mathematics and physics to art, history of science, national history of science, philosophy, logic and psychology.",
journal = "14th International Conference on Automated Deduction in Geometry Book of Abstracts",
title = "Deduction in Education: the Case of Serbia",
pages = "8-8",
url = "https://hdl.handle.net/21.15107/rcub_rimsi_2676"
}

Tomić, B., Milovanović, M.,& Medić-Simić, G.. (2023). Deduction in Education: the Case of Serbia. in 14th International Conference on Automated Deduction in Geometry Book of Abstracts, 8-8.
https://hdl.handle.net/21.15107/rcub_rimsi_2676

Tomić B, Milovanović M, Medić-Simić G. Deduction in Education: the Case of Serbia. in 14th International Conference on Automated Deduction in Geometry Book of Abstracts. 2023;:8-8.
https://hdl.handle.net/21.15107/rcub_rimsi_2676 .

Tomić, Bojan, Milovanović, Milos, Medić-Simić, Gordana, "Deduction in Education: the Case of Serbia" in 14th International Conference on Automated Deduction in Geometry Book of Abstracts (2023):8-8,
https://hdl.handle.net/21.15107/rcub_rimsi_2676 .

TY  - JOUR
AU  - Milovanović, Milos
AU  - Tomić, Bojan
PY  - 2016
UR  - http://rimsi.imsi.bg.ac.rs/handle/123456789/1005
AB  - The authors consider the Orthodox iconography of Byzantine style aimed at examining the existence of complex behavior and fractal patterns. It has been demonstrated that fractality in icons is manifested as two types-descending and ascending, where the former one corresponds to the apparent information and the latter one to the hidden causal information defining the spatiality of icon. Self-organization, recognized as the increase of the causal information in temporal domain, corresponds to contextualization of the observer's personage position. The results presented in the forms of plots and tables confirm the adequacy of the model being the completion of visual perception.
PB  - Wiley-Hindawi, London
T2  - Complexity
T1  - Fractality and Self-organization in the Orthodox Iconography
EP  - 68
IS  - S1
SP  - 55
VL  - 21
DO  - 10.1002/cplx.21710
ER  - 

@article{
author = "Milovanović, Milos and Tomić, Bojan",
year = "2016",
abstract = "The authors consider the Orthodox iconography of Byzantine style aimed at examining the existence of complex behavior and fractal patterns. It has been demonstrated that fractality in icons is manifested as two types-descending and ascending, where the former one corresponds to the apparent information and the latter one to the hidden causal information defining the spatiality of icon. Self-organization, recognized as the increase of the causal information in temporal domain, corresponds to contextualization of the observer's personage position. The results presented in the forms of plots and tables confirm the adequacy of the model being the completion of visual perception.",
publisher = "Wiley-Hindawi, London",
journal = "Complexity",
title = "Fractality and Self-organization in the Orthodox Iconography",
pages = "68-55",
number = "S1",
volume = "21",
doi = "10.1002/cplx.21710"
}

Milovanović, M.,& Tomić, B.. (2016). Fractality and Self-organization in the Orthodox Iconography. in Complexity
Wiley-Hindawi, London., 21(S1), 55-68.
https://doi.org/10.1002/cplx.21710

Milovanović M, Tomić B. Fractality and Self-organization in the Orthodox Iconography. in Complexity. 2016;21(S1):55-68.
doi:10.1002/cplx.21710 .

Milovanović, Milos, Tomić, Bojan, "Fractality and Self-organization in the Orthodox Iconography" in Complexity, 21, no. S1 (2016):55-68,
https://doi.org/10.1002/cplx.21710 . .