Vysoké učení technické v Brně - Vnitřní projekty VUT

- plně financující (2023-01-01 - 2024-12-31)

FSI-S-23-8161

čeština

Vašík Petr, doc. Mgr., Ph.D. - hlavní řešitel
Benko Matej, Ing. - spoluřešitel
Byrtus Roman, Ing. - spoluřešitel
Čermák Jan, prof. RNDr., CSc. - spoluřešitel
Derevianko Anna, Ing. - spoluřešitel
Druckmüller Miloslav, prof. RNDr., CSc. - spoluřešitel
Eryganov Ivan, Ing., Ph.D. - spoluřešitel
Fedorková Lucie, Ing. - spoluřešitel
Franců Jan, prof. RNDr., CSc. - spoluřešitel
Hrdina Jaroslav, doc. Mgr., Ph.D. - spoluřešitel
Kalenská Petra, Ing. - spoluřešitel
Kureš Miroslav, doc. RNDr., Ph.D. - spoluřešitel
Loučka Pavel, Ing. - spoluřešitel
Machovičová Tatiana, Ing. - spoluřešitel
Maya Baraah - spoluřešitel
Navrátil Dušan, Ing. - spoluřešitel
Petrák Filip, Mgr. - spoluřešitel
Šlapal Josef, prof. RNDr., CSc. - spoluřešitel
Štarha Pavel, doc. Ing., Ph.D. - spoluřešitel
Tomáš Jiří, doc. RNDr., Dr. - spoluřešitel
Žák Libor, doc. RNDr., Ph.D. - spoluřešitel

Ústav matematiky
- interní (01.01.2023 - 31.12.2025)
Fakulta strojního inženýrství
- příjemce (01.01.2023 - 31.12.2025)

DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. On Weil like functors on flag vector bundles with given length. FILOMAT, 2023, vol. 37, no. 9, p. 2755-2771. ISSN: 0354-5180.
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ŘEHÁK, P. The discrete fractional Karamata theorem and its applications. Mathematica Slovaca, 2024, vol. 74, no. 5, p. 1205-1214. ISSN: 0139-9918.
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IRAGI, M., ŠLAPAL, J. Transitive quasi-uniform structures depending on a parameter. AEQUATIONES MATHEMATICAE, 2023, vol. 97, no. 4, p. 823-836. ISSN: 0001-9054.
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LOUČKA, P.; VAŠÍK, P. On Multi-conditioned Conic Fitting in Geometric Algebra for Conics. ADV APPL CLIFFORD AL, 2023, vol. 33, no. 3, ISSN: 0188-7009.
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DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. Natural affinors and torsion of connections on Weil like functors on double vector bundles. Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica, 2023, vol. 76, no. 2, p. 1-13. ISSN: 2083-7402.
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HITZER, E.; KAMARIANAKIS, M.; PAPAGIANNAKIS, G.; VAŠÍK, P. Survey of new applications of geometric algebra. Mathematical Methods in the Applied Sciences, 2024, vol. 47, no. 14, p. 1-17. ISSN: 1099-1476.
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HRDINA, J.; VAŠÍK, P.; NÁVRAT, A.; ERYGANOV, I.; HILDENBRAND, D.; ALVES, R.; LAVOR, C.; STEINMETZ, C. Quantum Register Algebra: the mathematical language for quantum computing. Quantum Information Processing, 2023, vol. 22, no. 9, p. 1-27. ISSN: 1573-1332.
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ŘEHÁK, P. On decaying and asymptotically constant solutions of nonlinear equations with the Weyl fractional derivative of an order in (1,2). APPLIED MATHEMATICS LETTERS, 2023, vol. 145, no. 108779, p. 1-9. ISSN: 0893-9659.
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KUREŠ, M. A Proof of Pollock’s Conjecture on Centered Nonagonal Numbers. MATHEMATICAL INTELLIGENCER, 2023, no. 2023, p. 1-2. ISSN: 0343-6993.
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FROLÍK, S.; HRDINA, J. Local control of 2-link robotic worms based on additional symmetries *. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, vol. 360, no. 16, p. 12280-12298. ISSN: 0016-0032.
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PAVLÍK, J. Distributivity of a segmentation lattice. Discrete Applied Mathematics, 2023, vol. 339, no. 0166-218X, p. 300-316. ISSN: 0166-218X.
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ŠLAPAL, J. A digital Jordan surface theorem with respect to a graph connectedness. Open Mathematics, 2023, vol. 21, no. 1, p. 1-9. ISSN: 2391-5455.
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LOUČKA, P.; VAŠÍK, P. Algorithms for Conic Fitting Through Given Proper and Improper Waypoints in Geometric Algebra for Conics. Advances in Applied Clifford Algebras, 2024, vol. 34, no. 1, p. 1-22. ISSN: 1661-4909.
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KLAŠKA, J. The Full Systems of Canonical Representatives of Cubic Polynomials with a Given Discriminant. Brno, Česká republika: Akadenické nakladatelství CERM, 2023. 150 p. ISBN: 978-80-7623-097-2.
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KLAŠKA, J. JAKÓBCZYKOVA HYPOTÉZA O FERMATOVÝCH ČÍSLECH. Kvaternion, 2023, č. 1-2, s. 3-13. ISSN: 1805-1324.
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KLAŠKA, J. Jakobczyk's Hypothesis on Mersenne Numbers and Generalizations of Skula's Theorem. Journal of Integer Sequences, 2023, vol. 26, no. 3, p. 1-21. ISSN: 1530-7638.
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DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. Description of jet like functors on vector bundles by means of module bundle functors on the bases. FILOMAT, 2024, vol. 38, no. 1, p. 241-260. ISSN: 0354-5180.
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PROCHÁZKOVÁ, J.; KŘIŠŠÁK, J. The Artificial Intelligence Algorithm Used for Harvested Wood Recognition. PEFnet 2023. 1... Brno, CZ3-.: Mendel University Press, 2023. p. 91-92. ISBN: 978-80-7509-944-0.
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RŮŽIČKOVÁ, M.; KÚDELČÍKOVÁ, M.; ŠTOUDKOVÁ RŮŽIČKOVÁ, V. Spojité dynamické systémy. Stabilita, aplikácie. Vedecké monografie. Vedecké monografie. Žilina: EDIS-vydavateľstvo UNIZA, 2023. 248 s. ISBN: 978-80-554-2063-9.
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FROLÍK, S.; HRDINA, J. SUB-RIEMANNIAN GEODESICS ASSOCIATED TO CR-GEOMETRY ON HEISENBERG GROUP H3. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2024, vol. 85, no. 4, p. 55-66. ISSN: 1223-7027.
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KULMON, P.; SUJA, J.; BENKO, M. Scheduling of Multi-Function Sensor. IEEE Transactions on Radar Systems, 2023, vol. 1, no. 1, p. 729-739. ISSN: 2832-7357.
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MAZAL, J.; FAGIOLINI, A.; VAŠÍK, P.; BRUZZONE, A.; PICKL, S.; NEUMANN, V.; STODOLA, P.; STORTO, S. Preface. Deutschland: Springer Science and Business Media Deutschland GmbH, 2023. p. 1 (1 s.).
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HITZER, E.; PAPAGIANNAKIS, G.; VAŠÍK, P. Preface. Switzerland: Springer Cham, 2023. p. 1 (1 s.).
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LOUČKA, P. On Proper and Improper Points in Geometric Algebra for Conics and Conic Fitting Through Given Waypoints. In EmpoweringNovel GeometricAlgebrafor GraphicsandEngineering. Lecture Notes in Computer Science. Switzerland: Springer, Cham, 2023. p. 67-79. ISBN: 978-3-031-30922-9.
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MACHÁLEK, L.; KONECKÝ, Š. Autonomous Navigation for the Movement of the Robot in the Tube. In Modelling and Simulation for Autonomous Systems. Springer Cham, 2023. p. 74-86. ISBN: 978-3-031-31267-0.
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VAŠÍK, P.; HITZER, E.; LAVOR, C. Editorial of Applied Geometric Algebras in Computer Science and Engineering (AGACSE 21). Mathematical Methods in the Applied Sciences. HOBOKEN: WILEY, 2024. p. 1199-1203. ISSN: 1099-1476.
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DEREVIANKO, A.; VAŠÍK, P. Search for Similarity Transformation Between Image Point Clouds Using Geometric Algebra for Conics. In Advanced Computational Applications of Geometric Algebra. Lecture Notes in Computer Science. CHAM: SPRINGER INTERNATIONAL PUBLISHING AG, 2024. p. 15-26. ISBN: 978-3-031-34031-4.
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BYRTUS, R.; FROLÍK, S. Notes on Forward Kinematics of Generalised Robotic Snakes Based on Compass Ruler Algebra. In Advanced Computational Applications of Geometric Algebra. Lecture Notes in Computer Science. CHAM: SPRINGER INTERNATIONAL PUBLISHING AG, 2024. p. 138-146. ISBN: 978-3-031-34031-4. ISSN: 1611-3349.
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HRDINA, J.; VAŠÍK, P.; NÁVRAT, A.; ERYGANOV, I.; ALVES, R.; HILDENBRAND, D.; STEINMETZ, C.; LAVOR, C. Quantum Register Algebra: The Basic Concepts. In Advanced Computational Applications of Geometric Algebra. CHAM: SPRINGER INTERNATIONAL PUBLISHING AG, 2024. p. 112-122. ISBN: 978-3-031-34030-7.
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MIKULÁČEK, P.; ZEMEK, M.; ŠTARHA, P.; ZIKMUND, T.; KAISER, J. Application of Dual-target Computed Tomography for Material Decomposition of Low-Z Materials. JOURNAL OF NONDESTRUCTIVE EVALUATION, 2024, vol. 43, no. 2, ISSN: 0195-9298.
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ŠLAPAL, J.; RICHMOND, T.; IRAGI, M. Topogenous orders and closure operators on posets. Turkish Journal of Mathematics, 2024, vol. 48, no. 3, p. 469-476. ISSN: 1303-6149.
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RICHMOND, T.; ŠLAPAL, J. Lower separation axioms in bitopogenous spaces. Mathematica Slovaca, 2024, vol. 74, no. 2, p. 491-500. ISSN: 1337-2211.
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VENTURA GIL, J.; MARTINEZ, F.; MANZANO-AGUGLIARO, F.; NÁVRAT, A.; HRDINA, J.; EID, A.; MONTOYA, F. A novel geometric method based on conformal geometric algebra applied to the resection problem in two and three dimensions. JOURNAL OF GEODESY, 2024, vol. 98, no. 6, p. 1-21. ISSN: 0949-7714.
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OPLUŠTIL, Z. Oscillation criteria for the second-order linear advanced differential equation. APPLIED MATHEMATICS LETTERS, 2024, vol. 157, no. 157, ISSN: 0893-9659.
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ŠLAPAL, J. DIGITAL JORDAN SURFACES ARISING FROM TETRAHEDRAL TILING. Mathematica Slovaca, 2024, vol. 74, no. 3, p. 723-736. ISSN: 1337-2211.
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ERYGANOV, I.; ROSECKÝ, M.; ŠOMPLÁK, R.; SMEJKALOVÁ, V. Forecasting the waste production hierarchical time series with correlation structure. OPTIMIZATION AND ENGINEERING, 2024, no. July 2024, ISSN: 1573-2924.
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HITZER, E.; PAPAGIANNAKIS, G.; VAŠÍK, P. Editorial for special issue "ENGAGE 22: Geometric Algebra for Graphics & Engineering". Mathematical Methods in the Applied Sciences. HOBOKEN: WILEY, 2024. p. 11303-11304. ISSN: 1099-1476.
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HRDINA, J.; STODOLA, M. Higher Order Geometric Algebras and Their Implementations Using Bott Periodicity. ADV APPL CLIFFORD AL, 2024, vol. 34, no. 4, p. 1-22. ISSN: 0188-7009.
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MOURALOVÁ, K.; BEDNÁŘ, J; BENEŠ, L.; ZAHRADNÍČEK, R.; FRIES, J. Machinability analysis of Albromet W130 copper alloy by WEDM. INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2024, vol. 134, no. 11, p. 5771-5785. ISSN: 0268-3768.
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ERYGANOV, I.; HRDINA, J.; NÁVRAT, A. Quantization of two- and three-player cooperative games based on QRA. Journal of Physics A: Mathematical and Theoretical, 2024, vol. 57, no. 42, p. 1-24. ISSN: 1751-8121.
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ŠLAPAL, J. A digital 3D Jordan-Brouwer separation theorem. Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica, 2024, vol. 32, no. 3, p. 161-172. ISSN: 1224-1784.
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ŠTARHA, P.: ASI_CorCap_2023; ASI Corona Capture version 2023. Ústav matematiky Fakulta strojního inženýrství Technická 2896/2 61669 Brno. URL: http://www.zam.fme.vutbr.cz/~starha/asi_corcap/. (software)
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