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Szabó, P., Ferencová, M. and Blišťanová, M. A Spatially Bounded Airspace Axiom

[Abstract] [BibTeX]

 2022 Axioms
Vol. 11(6), pp. 244 		 axioms article DOI 
(Open Access)
Abstract: Free Route Airspace (FRA), a new concept implemented across European airspace, is designed to eliminate the adverse effects of air traffic, reduce fuel consumption, simplify and expand flight planning. In our research, we model FRA system by using graph theory and we use networks and convex analysis to study it. We work with 2-dimensional space defined by latitude a longitude. We know that the basic mathematical properties of a scientific discipline can be expressed using mathematical axioms. Therefore, in our work, we sought to answer the question, what are the basic mathematical properties of airspace? We found a mathematical object that can describe airspace in general. Using this object, we uttered an axiom describing airspace. Our axiom is given by means of practical, significant entry and entry-exit points in the airspace.
BibTeX: 
@article{Szabo2022,
  author = {Szabó, P. and Ferencová, M. and Blišťanová, M.},
  title = {A Spatially Bounded Airspace Axiom},
  journal = {Axioms},
  publisher = {MDPI AG},
  year = {2022},
  volume = {11},
  number = {6},
  pages = {244},
  doi = {https://doi.org/10.3390/axioms11060244}
}
Szabó, P., Ferencová, M. and Železník, V. Cloud Computing in Free Route Airspace Research

[BibTeX]

 2022 Algorithms
Vol. 4(5), pp. 123 		 algorithms article DOI 
(Open Access)
BibTeX: 
@article{Szabo2022,
  author = {Szabó, P. and Ferencová, M. and Železník, V.},
  title = {Cloud Computing in Free Route Airspace Research},
  journal = {Algorithms},
  year = {2022},
  volume = {4},
  number = {5},
  pages = {123},
  doi = {https://doi.org/10.3390/a15040123}
}
Szabó, P., Ferencová, M. and Szabóová, R. Free Route Airspace a Complex Network. URL: https://tinyurl.com/Complex-Network

[BibTeX]

 2021 MATLAB Central File Exchange  sig_points software URL 
BibTeX: 
@article{Szabo2021,
  author = {Szabó, P. and Ferencová, M. and Szabóová, R.},
  title = {Free Route Airspace a Complex Network. URL: https://tinyurl.com/Complex-Network},
  journal = {MATLAB Central File Exchange},
  year = {2021},
  note = {Software},
  url = {https://nl.mathworks.com/matlabcentral/fileexchange/89772}
}
Szabó, P., Gombíková, K., Ferencová, M. and Košuda, M. Keplerian Orbit and Satellite skCUBE

[BibTeX]

 2019 New Trends in Aviation Development (NTAD), 2019 - International Scientific Conference., p. 174-179.  Orbit conference article DOI  
BibTeX: 
@article{Szabo2019,
  author = {P. Szabó and K. Gombíková and M. Ferencová and M. Košuda},
  title = {Keplerian Orbit and Satellite skCUBE},
  journal = {New Trends in Aviation Development (NTAD), 2019 - International Scientific Conference., p. 174-179.},
  year = {2019},
  doi = {https://doi.org/10.1109/NTAD.2019.8875530}
}
Szabó, P. and Ferencová, M. A Brief Introduction to the Linear Algebra - Systems of Linear Equations

[BibTeX]

 2019   Brief_Introduction book URL 
BibTeX: 
@book{,
  author = {Szabó, P. and Ferencová, M.},
  title = {A Brief Introduction to the Linear Algebra - Systems of Linear Equations},
  publisher = {TUKE},
  year = {2019},
  url = {https://www.researchgate.net/publication/337284898_A_Brief_Introduction_to_the_Linear_Algebra_-_Systems_of_Linear_Equations}
}
Szabó, P. Úvod do lineárnej algebry - Systémy lineárnych rovníc

[BibTeX]

 2018   Systém lin. rovníc book  
BibTeX: 
@book{,
  author = {Peter Szabó},
  title = {Úvod do lineárnej algebry - Systémy lineárnych rovníc},
  publisher = {Tuke},
  year = {2018}
}
Szabó, P. Goldbach's conjecture in max-algebra

[BibTeX]

 2017 Computational Management Science
Vol. 14(1), pp. 81-89 		 CMS_banner article DOI 
(Online First)
BibTeX: 
@article{Szabo2017,
  author = {Peter Szabó},
  title = {Goldbach's conjecture in max-algebra},
  journal = {Computational Management Science},
  year = {2017},
  volume = {14},
  number = {1},
  pages = {81-89},
  note = {ADM01},
  doi = {https://doi.org/10.1007/s10287-016-0268-z}
}
Ferencová, M. Bezpečnosť a optimalizácia leteckej cesty dopravných lietadiel v prostredí Free Route Airspace

[BibTeX]

 2022   School: Technical University of Košice, Faculty of Aeronautics  phdthesis URL Southeast Europe FRA 
BibTeX: 
@phdthesis{Ferencová,
  author = {Miroslava Ferencová},
  title = {Bezpečnosť a optimalizácia leteckej cesty dopravných lietadiel v prostredí FreeRoute Airspace},
  school = {Technical University of Košice, Faculty of Aeronautics},
  year = {2022}
  url = {https://www.mathworks.com/matlabcentral/fileexchange/90277}
}
Drančáková, M. SageMath pre leteckých inžinierov

[BibTeX]

 2021   School: Technical University of Košice, Faculty of Aeronautics  mastersthesis URL Mathematics 
BibTeX: 
@mastersthesis{Drančáková,
  author = {Miriama Drančáková},
  title = {SageMath pre leteckých inžinierov},
  school = {Technical University of Košice, Faculty of Aeronautics},
  year = {2021},
  url = {https://peter.szabo.website.tuke.sk/bach-math/}
}
Matušík, L. Stabilizácia pohybu miniatúrnych satelitov

[BibTeX]

 2021   School: Technical University of Košice, Faculty of Aeronautics  mastersthesis URL Quaternions 
BibTeX: 
@mastersthesis{Matušík,
  author = {Lukáš Matušík},
  title = {Stabilizácia pohybu miniatúrnych satelitov},
  school = {Technical University of Košice, Faculty of Aeronautics},
  year = {2021}
  url = {https://drive.google.com/file/d/1lF5TUCjwgG_r6VjrEvRBcrc2WTfnqEoV/view?usp=sharing}
}
Gombíková, K. MATLAB pre leteckých inžinierov

[BibTeX]

 2020   School: Technical University of Košice, Faculty of Aeronautics  mastersthesis URL Keplerian Orbit 
BibTeX: 
@mastersthesis{Gombíková,
  author = {Katarína Gombíková},
  title = {MATLAB pre leteckých inžinierov},
  school = {Technical University of Košice, Faculty of Aeronautics},
  year = {2020}
  url = {https://www.mathworks.com/matlabcentral/fileexchange/72098-keplerian-orbit}
}